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Revision 759 by chrisfen, Wed Sep 10 22:42:57 2003 UTC vs.
Revision 777 by chrisfen, Fri Sep 19 19:29:24 2003 UTC

# Line 10 | Line 10
10   %DVIPSWebPage: (www.radicaleye.com)
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12   %DVIPSParameters: dpi=600, compressed
13 < %DVIPSSource:  TeX output 2003.09.10:1316
13 > %DVIPSSource:  TeX output 2003.09.18:0119
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15   %!
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479 > EA0E0EEA1C0FEA181F1238A21270133EA212E05BA212005BA3485AA2485AA3485A14E0A2
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487 > 003E90387C0700A3150E5AA2EC3C1C151848EB1C38EC0FF00070EB03C0233B7AB926>I<
488 > EB1F80EA03FF5A7E38001F00A4133EA45BA45BA4485AA4485AA4485AA4485AA448C7FCA4
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493 > A3F0C07048485B19E019C018C148C748903801C380943800FF00000E0270147C3E2679A4
494 > 44>I<D803E013FC3907F007FF3A0E380F07803A1C3C3C03C0D93E707F0038EBE001EB3F
495 > C0007013808214005ED8E07E1303A2137C120049495AA34B5A485AA34BC7FC485A92383E
496 > 0380A3484890387C0700A3ED780E485A5E1618163848C7EA3870ED1FE0000EEC0F802926
497 > 79A42F>I<147F903803FFC0903807C1E090381F0070013C137849133C49133E485A0003
498 > 141E4848131F120F5B121F90C7FC48143F123E127EA348147EA3157C15FC4814F8140115
499 > F0140315E00078EB07C0007C1480EC0F00003C131E6C5B000E13F8380783E06CB45AC648
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501 > 803C01E0EB001E14FED801C0141F5C5CA2380381F0A3EA00014948133FA44948137EA316
502 > 7C494813FCA216F81501011F14F0ED03E0A2ED07C0013F1480ED0F00ECC01E013E5B9038
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# Line 1320 | Line 1315 | TeXDict begin
1315  
1316   %%EndSetup
1317   %%Page: 1 1
1318 < 1 0 bop -113 36 a Fv(On)38 b(the)g(temp)s(erature)f(dep)s(enden)m(t)h
1319 < (structural)f(and)h(transp)s(ort)f(prop)s(erties)g(of)h(the)f(soft)h
1320 < (stic)m(ky)707 152 y(dip)s(ole)e(\(SSD\))h(and)i(related)e(single)f(p)s
1321 < (oin)m(t)h(w)m(ater)g(mo)s(dels)1060 488 y Fu(Christopher)j(J.)h(F)-7
1322 < b(ennell)41 b(and)g(J.)f(Daniel)h(Gezelter)2836 458 y
1323 < Ft(\003)1210 592 y Fs(Dep)l(artment)h(of)e(Chemistry)h(and)g(Bio)l
1324 < (chemistry)1509 679 y(University)j(of)f(Notr)l(e)h(Dame)1473
1325 < 767 y(Notr)l(e)g(Dame,)i(Indiana)c(46556)1439 905 y Fu(\(Dated:)c
1326 < (Septem)n(b)r(er)28 b(10,)e(2003\))456 977 y Fr(NVE)k(and)f(NPT)i
1327 < (molecular)f(dynamics)f(sim)n(ulations)i(w)n(ere)g(p)r(erformed)f(in)g
1328 < (order)g(to)g(in)n(v)n(estigate)h(the)379 1065 y(densit)n(y)e(maxim)n
1329 < (um)d(and)i(temp)r(erature)h(dep)r(enden)n(t)e(transp)r(ort)j(for)g
1330 < (the)f(SSD)f(w)n(ater)i(mo)r(del,)g(b)r(oth)f(with)379
1331 < 1152 y(and)c(without)f(the)h(use)f(of)i(reaction)f(\014eld.)34
1332 < b(The)25 b(constan)n(t)g(pressure)g(sim)n(ulations)g(of)g(the)f
1333 < (melting)h(of)g(b)r(oth)379 1239 y Fq(I)413 1248 y Fp(h)472
1339 < 1239 y Fr(and)19 b Fq(I)649 1247 y Fp(c)700 1239 y Fr(ice)h(sho)n(w)n
1318 > 1 0 bop -126 42 a Fv(On)37 b(the)h(temp)s(erature)f(dep)s(enden)m(t)i
1319 > (prop)s(erties)d(of)i(the)f(soft)h(stic)m(ky)e(dip)s(ole)h(\(SSD\))g
1320 > (and)h(related)1338 158 y(single)f(p)s(oin)m(t)f(w)m(ater)h(mo)s(dels)
1321 > 1060 494 y Fu(Christopher)j(J.)h(F)-7 b(ennell)41 b(and)g(J.)f(Daniel)h
1322 > (Gezelter)2836 464 y Ft(\003)1210 598 y Fs(Dep)l(artment)h(of)e
1323 > (Chemistry)h(and)g(Bio)l(chemistry)1509 685 y(University)j(of)f(Notr)l
1324 > (e)h(Dame)1473 772 y(Notr)l(e)g(Dame,)i(Indiana)c(46556)1439
1325 > 910 y Fu(\(Dated:)c(Septem)n(b)r(er)28 b(18,)e(2003\))456
1326 > 983 y Fr(NVE)k(and)f(NPT)i(molecular)f(dynamics)f(sim)n(ulations)i(w)n
1327 > (ere)g(p)r(erformed)f(in)g(order)g(to)g(in)n(v)n(estigate)h(the)379
1328 > 1070 y(densit)n(y)e(maxim)n(um)d(and)i(temp)r(erature)h(dep)r(enden)n
1329 > (t)e(transp)r(ort)j(for)g(the)f(SSD)f(w)n(ater)i(mo)r(del,)g(b)r(oth)f
1330 > (with)379 1157 y(and)c(without)f(the)h(use)f(of)i(reaction)f(\014eld.)
1331 > 34 b(The)25 b(constan)n(t)g(pressure)g(sim)n(ulations)g(of)g(the)f
1332 > (melting)h(of)g(b)r(oth)379 1245 y Fq(I)413 1254 y Fp(h)472
1333 > 1245 y Fr(and)19 b Fq(I)649 1253 y Fp(c)700 1245 y Fr(ice)h(sho)n(w)n
1334   (ed)f(a)h(densit)n(y)f(maxim)n(um)d(near)j(260)h(K.)g(In)e(most)h
1335   (cases,)j(the)d(calculated)h(densities)g(w)n(ere)379
1336 < 1326 y(signi\014can)n(tly)26 b(lo)n(w)n(er)h(than)e(the)g(densities)h
1336 > 1332 y(signi\014can)n(tly)26 b(lo)n(w)n(er)h(than)e(the)g(densities)h
1337   (calculated)g(in)f(sim)n(ulations)h(of)g(other)g(w)n(ater)g(mo)r(dels.)
1338 < 34 b(Analysis)379 1413 y(of)28 b(particle)g(di\013usion)f(sho)n(w)n(ed)
1338 > 34 b(Analysis)379 1419 y(of)28 b(particle)g(di\013usion)f(sho)n(w)n(ed)
1339   g(SSD)f(to)h(capture)g(the)f(transp)r(ort)h(prop)r(erties)h(of)g(exp)r
1340 < (erimen)n(tal)e(v)n(ery)g(w)n(ell)379 1501 y(in)i(b)r(oth)g(the)g
1340 > (erimen)n(tal)e(v)n(ery)g(w)n(ell)379 1506 y(in)i(b)r(oth)g(the)g
1341   (normal)g(and)g(sup)r(er-co)r(oled)h(liquid)f(regimes.)43
1342   b(In)27 b(order)i(to)f(correct)h(the)f(densit)n(y)f(b)r(eha)n(vior,)379
1343 < 1588 y(SSD)k(w)n(as)i(reparameterized)e(for)i(use)f(b)r(oth)f(with)h
1343 > 1593 y(SSD)k(w)n(as)i(reparameterized)e(for)i(use)f(b)r(oth)f(with)h
1344   (and)f(without)h(a)g(long-range)h(in)n(teraction)f(correction,)379
1345 < 1675 y(SSD/RF)23 b(and)g(SSD/E)h(resp)r(ectiv)n(ely)-6
1345 > 1680 y(SSD/RF)23 b(and)g(SSD/E)h(resp)r(ectiv)n(ely)-6
1346   b(.)33 b(In)23 b(addition)h(to)g(correcting)h(the)e(abnormally)h(lo)n
1347 < (w)h(densities,)g(these)379 1762 y(new)k(v)n(ersions)f(w)n(ere)h(sho)n
1347 > (w)h(densities,)g(these)379 1768 y(new)k(v)n(ersions)f(w)n(ere)h(sho)n
1348   (w)g(to)f(main)n(tain)g(or)h(impro)n(v)n(e)e(up)r(on)g(the)h(transp)r
1349 < (ort)h(and)e(structural)i(features)g(of)379 1849 y(the)d(original)h(w)n
1350 < (ater)f(mo)r(del.)436 2150 y Fo(I.)88 b(INTR)n(ODUCTION)-67
1351 < 2364 y Fu(One)24 b(of)h(the)g(most)f(imp)r(ortan)n(t)h(tasks)f(in)h
1352 < (sim)n(ulations)e(of)i(bio-)-150 2459 y(c)n(hemical)38
1349 > (ort)h(and)e(structural)i(features)g(of)379 1855 y(the)d(original)h(w)n
1350 > (ater)f(mo)r(del.)436 2156 y Fo(I.)88 b(INTR)n(ODUCTION)-67
1351 > 2369 y Fu(One)24 b(of)h(the)g(most)f(imp)r(ortan)n(t)h(tasks)f(in)h
1352 > (sim)n(ulations)e(of)i(bio-)-150 2465 y(c)n(hemical)38
1353   b(systems)g(is)g(the)h(prop)r(er)e(depiction)i(of)f(w)n(ater)g(and)-150
1354 < 2555 y(w)n(ater)24 b(solv)-5 b(ation.)35 b(In)25 b(fact,)g(the)g(bulk)g
1355 < (of)g(the)g(calculations)f(p)r(er-)-150 2650 y(formed)e(in)i(solv)-5
1354 > 2560 y(w)n(ater)24 b(solv)-5 b(ation.)35 b(In)25 b(fact,)g(the)g(bulk)g
1355 > (of)g(the)g(calculations)f(p)r(er-)-150 2656 y(formed)e(in)i(solv)-5
1356   b(ated)22 b(sim)n(ulations)g(are)g(of)g(in)n(teractions)g(with)h(or)
1357 < -150 2746 y(b)r(et)n(w)n(een)29 b(solv)n(en)n(t)f(molecules.)42
1358 < b(Th)n(us,)29 b(the)h(outcomes)e(of)h(these)-150 2841
1357 > -150 2751 y(b)r(et)n(w)n(een)29 b(solv)n(en)n(t)f(molecules.)42
1358 > b(Th)n(us,)29 b(the)h(outcomes)e(of)h(these)-150 2847
1359   y(t)n(yp)r(es)i(of)f(sim)n(ulations)g(are)g(highly)g(dep)r(enden)n(t)i
1360 < (on)e(the)h(ph)n(ysi-)-150 2937 y(cal)25 b(prop)r(erties)f(of)h(w)n
1360 > (on)e(the)h(ph)n(ysi-)-150 2942 y(cal)25 b(prop)r(erties)f(of)h(w)n
1361   (ater,)g(b)r(oth)g(as)g(individual)g(molecules)g(and)-150
1362 < 3032 y(in)42 b(groups/bulk.)76 b(Due)42 b(to)f(the)h(fact)f(that)h
1363 < (explicit)g(solv)n(en)n(t)-150 3128 y(accoun)n(ts)22
1362 > 3038 y(in)42 b(groups/bulk.)76 b(Due)42 b(to)f(the)h(fact)f(that)h
1363 > (explicit)g(solv)n(en)n(t)-150 3133 y(accoun)n(ts)22
1364   b(for)h(a)h(massiv)n(e)e(p)r(ortion)h(of)h(the)f(calculations,)h(it)g
1365 < (nec-)-150 3223 y(essary)38 b(to)h(simplify)h(the)g(solv)n(en)n(t)e(to)
1366 < i(some)f(exten)n(t)g(in)h(order)-150 3318 y(to)27 b(complete)h(sim)n
1365 > (nec-)-150 3229 y(essary)38 b(to)h(simplify)h(the)g(solv)n(en)n(t)e(to)
1366 > i(some)f(exten)n(t)g(in)h(order)-150 3324 y(to)27 b(complete)h(sim)n
1367   (ulations)f(in)h(a)f(reasonable)e(amoun)n(t)i(of)h(time.)-150
1368 < 3414 y(In)h(the)f(case)g(of)g(sim)n(ulating)g(w)n(ater)f(in)i
1369 < (bio-molecular)d(studies,)-150 3509 y(the)37 b(balance)f(b)r(et)n(w)n
1368 > 3420 y(In)h(the)f(case)g(of)g(sim)n(ulating)g(w)n(ater)f(in)i
1369 > (bio-molecular)d(studies,)-150 3515 y(the)37 b(balance)f(b)r(et)n(w)n
1370   (een)g(accurate)f(prop)r(erties)h(and)g(computa-)-150
1371 < 3605 y(tional)25 b(e\016ciency)h(is)g(esp)r(ecially)f(delicate,)h(and)f
1372 < (it)h(has)g(resulted)-150 3700 y(in)31 b(a)g(v)-5 b(ariet)n(y)31
1373 < b(of)g(di\013eren)n(t)g(w)n(ater)f(mo)r(dels.)1238 3670
1374 < y Fn(1{3)1373 3700 y Fu(Man)n(y)g(of)h(these)-150 3796
1371 > 3610 y(tional)25 b(e\016ciency)h(is)g(esp)r(ecially)f(delicate,)h(and)f
1372 > (it)h(has)g(resulted)-150 3706 y(in)31 b(a)g(v)-5 b(ariet)n(y)31
1373 > b(of)g(di\013eren)n(t)g(w)n(ater)f(mo)r(dels.)1238 3676
1374 > y Fn(1{3)1373 3706 y Fu(Man)n(y)g(of)h(these)-150 3801
1375   y(mo)r(dels)22 b(get)g(sp)r(eci\014c)g(prop)r(erties)f(correct)f(or)h
1376 < (b)r(etter)h(than)g(their)-150 3891 y(predecessors,)38
1376 > (b)r(etter)h(than)g(their)-150 3897 y(predecessors,)38
1377   b(but)h(this)f(is)g(often)g(at)g(a)f(cost)h(of)g(some)f(other)-150
1378 < 3987 y(prop)r(erties)g(or)g(of)g(computer)g(time.)68
1379 < b(As)38 b(an)f(example,)j(com-)-150 4082 y(pare)27 b(TIP3P)f(or)h
1378 > 3992 y(prop)r(erties)g(or)g(of)g(computer)g(time.)68
1379 > b(As)38 b(an)f(example,)j(com-)-150 4088 y(pare)27 b(TIP3P)f(or)h
1380   (TIP4P)f(to)h(TIP5P)-7 b(.)26 b(TIP5P)h(succeeds)g(in)g(im-)-150
1381 < 4178 y(pro)n(ving)j(the)j(structural)e(and)g(transp)r(ort)g(prop)r
1382 < (erties)g(o)n(v)n(er)f(its)-150 4273 y(predecessors,)36
1381 > 4183 y(pro)n(ving)j(the)j(structural)e(and)g(transp)r(ort)g(prop)r
1382 > (erties)g(o)n(v)n(er)f(its)-150 4279 y(predecessors,)36
1383   b(y)n(et)g(this)g(comes)g(at)g(a)f(greater)g(than)h(50\045)f(in-)-150
1384 < 4369 y(crease)30 b(in)h(computational)g(cost.)919 4339
1385 < y Fn(3)o(,4)1039 4369 y Fu(One)f(recen)n(tly)h(dev)n(elop)r(ed)-150
1386 < 4464 y(mo)r(del)36 b(that)g(succeeds)f(in)g(b)r(oth)h(retaining)f
1387 < (accuracy)f(of)h(sys-)-150 4560 y(tem)j(prop)r(erties)e(and)i
1388 < (simplifying)f(calculations)f(to)i(increase)-150 4655
1384 > 4374 y(crease)30 b(in)h(computational)g(cost.)919 4344
1385 > y Fn(3)o(,4)1039 4374 y Fu(One)f(recen)n(tly)h(dev)n(elop)r(ed)-150
1386 > 4470 y(mo)r(del)36 b(that)g(succeeds)f(in)g(b)r(oth)h(retaining)f
1387 > (accuracy)f(of)h(sys-)-150 4565 y(tem)j(prop)r(erties)e(and)i
1388 > (simplifying)f(calculations)f(to)i(increase)-150 4661
1389   y(computational)30 b(e\016ciency)g(is)h(the)f(Soft)h(Stic)n(ky)g(Dip)r
1390 < (ole)f(w)n(ater)-150 4751 y(mo)r(del.)92 4720 y Fn(5)-67
1391 < 4846 y Fu(The)e(Soft)h(Stic)n(ky)f(Dip)r(ole)h(\(SSD\))g(w)n(ater)f(mo)
1392 < r(del)g(w)n(as)f(dev)n(el-)-150 4942 y(op)r(ed)37 b(b)n(y)h(Ic)n(hiy)n
1390 > (ole)f(w)n(ater)-150 4756 y(mo)r(del.)92 4726 y Fn(5)-67
1391 > 4852 y Fu(The)e(Soft)h(Stic)n(ky)f(Dip)r(ole)h(\(SSD\))g(w)n(ater)f(mo)
1392 > r(del)g(w)n(as)f(dev)n(el-)-150 4947 y(op)r(ed)37 b(b)n(y)h(Ic)n(hiy)n
1393   (e)e Fm(et)j(al.)67 b Fu(as)37 b(a)g(mo)r(di\014ed)h(form)f(of)h(the)f
1394 < (hard-)-150 5037 y(sphere)48 b(w)n(ater)g(mo)r(del)h(prop)r(osed)e(b)n
1395 < (y)i(Bratk)n(o,)j(Blum,)j(and)p -150 5206 300 4 v -59
1396 < 5384 a Fl(\003)-23 5407 y Fk(Corresp)r(onding)24 b(author.)55
1397 < b(Electronic)25 b(mail:)k(gezelter@nd.edu)2042 2150 y
1398 < Fu(Luzar.)2275 2120 y Fn(6)o(,7)2403 2150 y Fu(SSD)42
1394 > (hard-)-150 5043 y(sphere)48 b(w)n(ater)g(mo)r(del)h(prop)r(osed)e(b)n
1395 > (y)i(Bratk)n(o,)j(Blum,)j(and)p -150 5212 300 4 v -59
1396 > 5390 a Fl(\003)-23 5413 y Fk(Corresp)r(onding)24 b(author.)55
1397 > b(Electronic)25 b(mail:)k(gezelter@nd.edu)2042 2156 y
1398 > Fu(Luzar.)2275 2126 y Fn(6)o(,7)2403 2156 y Fu(SSD)42
1399   b(consists)d(of)i(a)f(single)f(p)r(oin)n(t)i(dip)r(ole)g(with)g(a)2042
1400 < 2246 y(Lennard-Jones)35 b(core)i(and)h(a)f(stic)n(ky)g(p)r(oten)n(tial)
1401 < h(that)g(directs)2042 2341 y(the)27 b(particles)f(to)g(assume)g(the)h
1402 < (prop)r(er)e(h)n(ydrogen)g(b)r(ond)i(orien-)2042 2437
1400 > 2251 y(Lennard-Jones)35 b(core)i(and)h(a)f(stic)n(ky)g(p)r(oten)n(tial)
1401 > h(that)g(directs)2042 2347 y(the)27 b(particles)f(to)g(assume)g(the)h
1402 > (prop)r(er)e(h)n(ydrogen)g(b)r(ond)i(orien-)2042 2442
1403   y(tation)32 b(in)h(the)g(\014rst)f(solv)-5 b(ation)31
1404   b(shell.)52 b(Th)n(us,)33 b(the)g(in)n(teraction)2042
1405 < 2532 y(b)r(et)n(w)n(een)24 b(t)n(w)n(o)f(SSD)i(w)n(ater)d(molecules)i
1405 > 2538 y(b)r(et)n(w)n(een)24 b(t)n(w)n(o)f(SSD)i(w)n(ater)d(molecules)i
1406   Fm(i)33 b Fu(and)24 b Fm(j)36 b Fu(is)24 b(giv)n(en)f(b)n(y)h(the)2042
1407 < 2628 y(p)r(oten)n(tial)2083 2815 y Fj(u)2131 2827 y Fi(ij)2212
1408 < 2815 y Fu(=)f Fj(u)2348 2781 y Fi(LJ)2348 2836 y(ij)2439
1409 < 2815 y Fu(\()p Fj(r)2508 2827 y Fi(ij)2568 2815 y Fu(\))29
1410 < b(+)7 b Fj(u)2749 2775 y Fi(dp)2749 2838 y(ij)2822 2815
1411 < y Fu(\()p Fh(r)2893 2827 y Fi(ij)2952 2815 y Fj(;)14
1412 < b Fh(\012)3058 2827 y Fi(i)3085 2815 y Fj(;)g Fh(\012)3191
1413 < 2827 y Fi(j)3226 2815 y Fu(\))30 b(+)7 b Fj(u)3408 2775
1414 < y Fi(sp)3408 2838 y(ij)3477 2815 y Fu(\()p Fh(r)3548
1415 < 2827 y Fi(ij)3607 2815 y Fj(;)14 b Fh(\012)3713 2827
1416 < y Fi(i)3740 2815 y Fj(;)g Fh(\012)3846 2827 y Fi(j)3881
1417 < 2815 y Fu(\))p Fj(;)42 b Fu(\(1\))2042 2994 y(where)36
1418 < b(the)i Fh(r)2483 3006 y Fi(ij)2578 2994 y Fu(is)f(the)g(p)r(osition)g
1419 < (v)n(ector)f(b)r(et)n(w)n(een)h(molecules)2042 3089 y
1407 > 2633 y(p)r(oten)n(tial)2083 2821 y Fj(u)2131 2833 y Fi(ij)2212
1408 > 2821 y Fu(=)f Fj(u)2348 2787 y Fi(LJ)2348 2841 y(ij)2439
1409 > 2821 y Fu(\()p Fj(r)2508 2833 y Fi(ij)2568 2821 y Fu(\))29
1410 > b(+)7 b Fj(u)2749 2781 y Fi(dp)2749 2844 y(ij)2822 2821
1411 > y Fu(\()p Fh(r)2893 2833 y Fi(ij)2952 2821 y Fj(;)14
1412 > b Fh(\012)3058 2833 y Fi(i)3085 2821 y Fj(;)g Fh(\012)3191
1413 > 2833 y Fi(j)3226 2821 y Fu(\))30 b(+)7 b Fj(u)3408 2781
1414 > y Fi(sp)3408 2844 y(ij)3477 2821 y Fu(\()p Fh(r)3548
1415 > 2833 y Fi(ij)3607 2821 y Fj(;)14 b Fh(\012)3713 2833
1416 > y Fi(i)3740 2821 y Fj(;)g Fh(\012)3846 2833 y Fi(j)3881
1417 > 2821 y Fu(\))p Fj(;)42 b Fu(\(1\))2042 2999 y(where)36
1418 > b(the)i Fh(r)2483 3011 y Fi(ij)2578 2999 y Fu(is)f(the)g(p)r(osition)g
1419 > (v)n(ector)f(b)r(et)n(w)n(een)h(molecules)2042 3095 y
1420   Fm(i)44 b Fu(and)35 b Fm(j)48 b Fu(with)36 b(magnitude)f(equal)g(to)g
1421 < (the)h(distance)f Fj(r)3823 3101 y Fi(i)3851 3089 y Fj(j)5
1422 < b Fu(,)37 b(and)2042 3185 y Fh(\012)2111 3197 y Fi(i)2175
1423 < 3185 y Fu(and)g Fh(\012)2415 3197 y Fi(j)2486 3185 y
1421 > (the)h(distance)f Fj(r)3823 3107 y Fi(i)3851 3095 y Fj(j)5
1422 > b Fu(,)37 b(and)2042 3190 y Fh(\012)2111 3202 y Fi(i)2175
1423 > 3190 y Fu(and)g Fh(\012)2415 3202 y Fi(j)2486 3190 y
1424   Fu(represen)n(t)f(the)h(orien)n(tations)e(of)i(the)g(resp)r(ectiv)n(e)
1425 < 2042 3280 y(molecules.)47 b(The)32 b(Lennard-Jones,)e(dip)r(ole,)i(and)
1426 < f(stic)n(ky)g(parts)2042 3376 y(of)c(the)h(p)r(oten)n(tial)g(are)e
1425 > 2042 3286 y(molecules.)47 b(The)32 b(Lennard-Jones,)e(dip)r(ole,)i(and)
1426 > f(stic)n(ky)g(parts)2042 3381 y(of)c(the)h(p)r(oten)n(tial)g(are)e
1427   (giving)h(b)n(y)h(the)g(follo)n(wing)e(equations,)2404
1428 < 3628 y Fj(u)2452 3594 y Fi(LJ)2452 3649 y(ij)2543 3628
1429 < y Fu(\()p Fj(r)2612 3640 y Fi(ij)2671 3628 y Fu(\))e(=)e(4)p
1430 < Fj(\017)2904 3486 y Fg(")2952 3511 y(\022)3046 3572 y
1431 < Fj(\033)p 3023 3609 96 4 v 3023 3685 a(r)3060 3697 y
1432 < Fi(ij)3129 3511 y Fg(\023)3190 3529 y Fn(12)3279 3628
1433 < y Ff(\000)3362 3511 y Fg(\022)3455 3572 y Fj(\033)p 3433
1434 < 3609 V 3433 3685 a(r)3470 3697 y Fi(ij)3539 3511 y Fg(\023)3600
1435 < 3529 y Fn(6)3637 3486 y Fg(#)3699 3628 y Fj(;)256 b Fu(\(2\))2398
1436 < 4033 y Fj(u)2446 3993 y Fi(dp)2446 4056 y(ij)2542 4033
1437 < y Fu(=)2639 3969 y Fe(\026)2698 3989 y Fi(i)2744 3969
1438 < y Ff(\001)19 b Fe(\026)2844 3989 y Fi(j)p 2639 4014 241
1439 < 4 v 2711 4090 a Fj(r)2750 4061 y Fn(3)2748 4113 y Fi(ij)2908
1440 < 4033 y Ff(\000)3001 3969 y Fu(3\()p Fe(\026)3133 3989
1441 < y Fi(i)3179 3969 y Ff(\001)g Fh(r)3260 3981 y Fi(ij)3319
1442 < 3969 y Fu(\)\()p Fe(\026)3442 3989 y Fi(j)3495 3969 y
1443 < Ff(\001)g Fh(r)3576 3981 y Fi(ij)3635 3969 y Fu(\))p
1444 < 3001 4014 667 4 v 3286 4090 a Fj(r)3325 4061 y Fn(5)3323
1445 < 4113 y Fi(ij)3705 4033 y Fj(;)250 b Fu(\(3\))2271 4390
1446 < y Fj(u)2319 4351 y Fi(sp)2319 4414 y(ij)2388 4390 y Fu(\()p
1447 < Fh(r)2459 4402 y Fi(ij)2518 4390 y Fj(;)14 b Fh(\012)2624
1448 < 4402 y Fi(i)2652 4390 y Fj(;)g Fh(\012)2757 4402 y Fi(j)2792
1449 < 4390 y Fu(\))24 b(=)2945 4334 y Fj(\027)2986 4346 y Fn(0)p
1450 < 2945 4371 79 4 v 2964 4447 a Fu(2)3034 4390 y([)p Fj(s)p
1451 < Fu(\()p Fj(r)3165 4402 y Fi(ij)3224 4390 y Fu(\))p Fj(w)r
1452 < Fu(\()p Fh(r)3388 4402 y Fi(ij)3448 4390 y Fj(;)14 b
1453 < Fh(\012)3554 4402 y Fi(i)3581 4390 y Fj(;)g Fh(\012)3687
1454 < 4402 y Fi(j)3722 4390 y Fu(\))2954 4547 y(+)k Fj(s)3076
1455 < 4513 y Ft(0)3099 4547 y Fu(\()p Fj(r)3168 4559 y Fi(ij)3227
1456 < 4547 y Fu(\))p Fj(w)3320 4513 y Ft(0)3345 4547 y Fu(\()p
1457 < Fh(r)3416 4559 y Fi(ij)3475 4547 y Fj(;)c Fh(\012)3581
1458 < 4559 y Fi(i)3608 4547 y Fj(;)g Fh(\012)3714 4559 y Fi(j)3749
1459 < 4547 y Fu(\)])28 b Fj(;)3978 4458 y Fu(\(4\))2042 4725
1460 < y(where)h Fe(\026)2343 4745 y Fi(i)2400 4725 y Fu(and)g
1461 < Fe(\026)2622 4745 y Fi(j)2687 4725 y Fu(are)f(the)i(dip)r(ole)g(unit)g
1462 < (v)n(ectors)e(of)i(particles)2042 4821 y Fm(i)35 b Fu(and)27
1428 > 3634 y Fj(u)2452 3600 y Fi(LJ)2452 3654 y(ij)2543 3634
1429 > y Fu(\()p Fj(r)2612 3646 y Fi(ij)2671 3634 y Fu(\))e(=)e(4)p
1430 > Fj(\017)2904 3492 y Fg(")2952 3517 y(\022)3046 3578 y
1431 > Fj(\033)p 3023 3615 96 4 v 3023 3691 a(r)3060 3703 y
1432 > Fi(ij)3129 3517 y Fg(\023)3190 3534 y Fn(12)3279 3634
1433 > y Ff(\000)3362 3517 y Fg(\022)3455 3578 y Fj(\033)p 3433
1434 > 3615 V 3433 3691 a(r)3470 3703 y Fi(ij)3539 3517 y Fg(\023)3600
1435 > 3534 y Fn(6)3637 3492 y Fg(#)3699 3634 y Fj(;)256 b Fu(\(2\))2398
1436 > 4038 y Fj(u)2446 3998 y Fi(dp)2446 4061 y(ij)2542 4038
1437 > y Fu(=)2639 3974 y Fe(\026)2698 3995 y Fi(i)2744 3974
1438 > y Ff(\001)19 b Fe(\026)2844 3995 y Fi(j)p 2639 4019 241
1439 > 4 v 2711 4095 a Fj(r)2750 4067 y Fn(3)2748 4118 y Fi(ij)2908
1440 > 4038 y Ff(\000)3001 3974 y Fu(3\()p Fe(\026)3133 3995
1441 > y Fi(i)3179 3974 y Ff(\001)g Fh(r)3260 3986 y Fi(ij)3319
1442 > 3974 y Fu(\)\()p Fe(\026)3442 3995 y Fi(j)3495 3974 y
1443 > Ff(\001)g Fh(r)3576 3986 y Fi(ij)3635 3974 y Fu(\))p
1444 > 3001 4019 667 4 v 3286 4095 a Fj(r)3325 4067 y Fn(5)3323
1445 > 4118 y Fi(ij)3705 4038 y Fj(;)250 b Fu(\(3\))2271 4396
1446 > y Fj(u)2319 4356 y Fi(sp)2319 4419 y(ij)2388 4396 y Fu(\()p
1447 > Fh(r)2459 4408 y Fi(ij)2518 4396 y Fj(;)14 b Fh(\012)2624
1448 > 4408 y Fi(i)2652 4396 y Fj(;)g Fh(\012)2757 4408 y Fi(j)2792
1449 > 4396 y Fu(\))24 b(=)2945 4340 y Fj(\027)2986 4352 y Fn(0)p
1450 > 2945 4377 79 4 v 2964 4453 a Fu(2)3034 4396 y([)p Fj(s)p
1451 > Fu(\()p Fj(r)3165 4408 y Fi(ij)3224 4396 y Fu(\))p Fj(w)r
1452 > Fu(\()p Fh(r)3388 4408 y Fi(ij)3448 4396 y Fj(;)14 b
1453 > Fh(\012)3554 4408 y Fi(i)3581 4396 y Fj(;)g Fh(\012)3687
1454 > 4408 y Fi(j)3722 4396 y Fu(\))2954 4553 y(+)k Fj(s)3076
1455 > 4519 y Ft(0)3099 4553 y Fu(\()p Fj(r)3168 4565 y Fi(ij)3227
1456 > 4553 y Fu(\))p Fj(w)3320 4519 y Ft(0)3345 4553 y Fu(\()p
1457 > Fh(r)3416 4565 y Fi(ij)3475 4553 y Fj(;)c Fh(\012)3581
1458 > 4565 y Fi(i)3608 4553 y Fj(;)g Fh(\012)3714 4565 y Fi(j)3749
1459 > 4553 y Fu(\)])28 b Fj(;)3978 4464 y Fu(\(4\))2042 4731
1460 > y(where)h Fe(\026)2343 4751 y Fi(i)2400 4731 y Fu(and)g
1461 > Fe(\026)2622 4751 y Fi(j)2687 4731 y Fu(are)f(the)i(dip)r(ole)g(unit)g
1462 > (v)n(ectors)e(of)i(particles)2042 4826 y Fm(i)35 b Fu(and)27
1463   b Fm(j)39 b Fu(with)27 b(magnitude)g(2.35)e(D,)i Fj(\027)3253
1464 < 4833 y Fn(0)3317 4821 y Fu(scales)f(the)h(strength)f(of)2042
1465 < 4916 y(the)j(o)n(v)n(erall)d(stic)n(ky)i(p)r(oten)n(tial,)h
1466 < Fj(s)g Fu(and)f Fj(s)3335 4886 y Ft(0)3387 4916 y Fu(are)g(cubic)h
1467 < (switc)n(hing)2042 5011 y(functions.)71 b(The)39 b Fj(w)j
1468 < Fu(and)d Fj(w)2983 4981 y Ft(0)3046 5011 y Fu(functions)h(tak)n(e)e
1469 < (the)h(follo)n(wing)2042 5107 y(forms,)2362 5285 y Fj(w)r
1470 < Fu(\()p Fh(r)2494 5297 y Fi(ij)2554 5285 y Fj(;)14 b
1471 < Fh(\012)2659 5297 y Fi(i)2687 5285 y Fj(;)g Fh(\012)2793
1472 < 5297 y Fi(j)2828 5285 y Fu(\))23 b(=)g(sin)14 b Fj(\022)3126
1473 < 5297 y Fi(ij)3198 5285 y Fu(sin)g(2)p Fj(\022)3395 5297
1474 < y Fi(ij)3467 5285 y Fu(cos)f(2)p Fj(\036)3683 5297 y
1475 < Fi(ij)3741 5285 y Fj(;)214 b Fu(\(5\))2083 5555 y Fj(w)2144
1476 < 5521 y Ft(0)2168 5555 y Fu(\()p Fh(r)2239 5567 y Fi(ij)2298
1477 < 5555 y Fj(;)14 b Fh(\012)2404 5567 y Fi(i)2432 5555 y
1478 < Fj(;)g Fh(\012)2538 5567 y Fi(j)2573 5555 y Fu(\))23
1479 < b(=)g(\(cos)13 b Fj(\022)2912 5567 y Fi(ij)2978 5555
1480 < y Ff(\000)7 b Fu(0)p Fj(:)p Fu(6\))3189 5521 y Fn(2)3225
1481 < 5555 y Fu(\(cos)14 b Fj(\022)3422 5567 y Fi(ij)3488 5555
1482 < y Fu(+)7 b(0)p Fj(:)p Fu(8\))3699 5521 y Fn(2)3743 5555
1483 < y Ff(\000)g Fj(w)3876 5521 y Fn(0)3913 5555 y Fj(;)42
1464 > 4838 y Fn(0)3317 4826 y Fu(scales)f(the)h(strength)f(of)2042
1465 > 4922 y(the)j(o)n(v)n(erall)d(stic)n(ky)i(p)r(oten)n(tial,)h
1466 > Fj(s)g Fu(and)f Fj(s)3335 4891 y Ft(0)3387 4922 y Fu(are)g(cubic)h
1467 > (switc)n(hing)2042 5017 y(functions.)71 b(The)39 b Fj(w)j
1468 > Fu(and)d Fj(w)2983 4987 y Ft(0)3046 5017 y Fu(functions)h(tak)n(e)e
1469 > (the)h(follo)n(wing)2042 5112 y(forms,)2362 5291 y Fj(w)r
1470 > Fu(\()p Fh(r)2494 5303 y Fi(ij)2554 5291 y Fj(;)14 b
1471 > Fh(\012)2659 5303 y Fi(i)2687 5291 y Fj(;)g Fh(\012)2793
1472 > 5303 y Fi(j)2828 5291 y Fu(\))23 b(=)g(sin)14 b Fj(\022)3126
1473 > 5303 y Fi(ij)3198 5291 y Fu(sin)g(2)p Fj(\022)3395 5303
1474 > y Fi(ij)3467 5291 y Fu(cos)f(2)p Fj(\036)3683 5303 y
1475 > Fi(ij)3741 5291 y Fj(;)214 b Fu(\(5\))2083 5561 y Fj(w)2144
1476 > 5527 y Ft(0)2168 5561 y Fu(\()p Fh(r)2239 5573 y Fi(ij)2298
1477 > 5561 y Fj(;)14 b Fh(\012)2404 5573 y Fi(i)2432 5561 y
1478 > Fj(;)g Fh(\012)2538 5573 y Fi(j)2573 5561 y Fu(\))23
1479 > b(=)g(\(cos)13 b Fj(\022)2912 5573 y Fi(ij)2978 5561
1480 > y Ff(\000)7 b Fu(0)p Fj(:)p Fu(6\))3189 5527 y Fn(2)3225
1481 > 5561 y Fu(\(cos)14 b Fj(\022)3422 5573 y Fi(ij)3488 5561
1482 > y Fu(+)7 b(0)p Fj(:)p Fu(8\))3699 5527 y Fn(2)3743 5561
1483 > y Ff(\000)g Fj(w)3876 5527 y Fn(0)3913 5561 y Fj(;)42
1484   b Fu(\(6\))p eop
1485   %%Page: 2 2
1486   2 1 bop 4043 -299 a Fu(2)-150 -83 y(where)31 b Fj(w)155
# Line 1510 | Line 1504 | b(a)g(calculation)g(sp)r(eed)h(up)g(of)g(up)g(to)f(an)
1504   (del,)h(Ic)n(hiy)n(e)-150 872 y Fm(et)31 b(al.)45 b Fu(rep)r(orted)29
1505   b(a)g(calculation)g(sp)r(eed)h(up)g(of)g(up)g(to)f(an)h(order)-150
1506   967 y(of)d(magnitude)g(o)n(v)n(er)e(other)h(comparable)g(mo)r(dels)h
1507 < (while)g(main-)-150 1063 y(taining)f(the)h(structural)f(b)r(eha)n(vior)
1508 < g(of)g(w)n(ater.)1312 1033 y Fn(5)1375 1063 y Fu(In)h(the)g(original)
1509 < -150 1158 y(molecular)35 b(dynamics)h(studies)h(of)g(SSD,)g(it)g(w)n
1510 < (as)e(sho)n(wn)h(that)-150 1254 y(it)f(actually)e(impro)n(v)n(es)g(up)r
1511 < (on)h(the)h(prediction)f(of)g(w)n(ater's)f(dy-)-150 1349
1512 < y(namical)19 b(prop)r(erties)g(3)h(and)f(4-p)r(oin)n(t)h(mo)r(dels.)
1513 < 1303 1319 y Fn(8)1360 1349 y Fu(This)g(attractiv)n(e)-150
1514 < 1445 y(com)n(bination)33 b(of)i(sp)r(eed)f(and)g(accurate)f(depiction)h
1507 > (while)g(main-)-150 1063 y(taining)37 b(the)g(structural)f(b)r(eha)n
1508 > (vior)g(of)h(w)n(ater.)1364 1033 y Fn(5)1437 1063 y Fu(In)h(the)f
1509 > (origi-)-150 1158 y(nal)31 b(molecular)f(dynamics)g(studies,)i(it)f(w)n
1510 > (as)f(sho)n(wn)g(that)i(SSD)-150 1254 y(impro)n(v)n(es)g(on)h(the)g
1511 > (prediction)g(of)h(man)n(y)e(of)i(w)n(ater's)e(dynami-)-150
1512 > 1349 y(cal)e(prop)r(erties)g(o)n(v)n(er)f(TIP3P)g(and)i(SPC/E.)1282
1513 > 1319 y Fn(8)1349 1349 y Fu(This)g(attractiv)n(e)-150
1514 > 1445 y(com)n(bination)i(of)i(sp)r(eed)f(and)g(accurate)f(depiction)h
1515   (of)h(solv)n(en)n(t)-150 1540 y(prop)r(erties)24 b(mak)n(es)h(SSD)h(a)e
1516   (mo)r(del)i(of)f(in)n(terest)g(for)g(the)g(sim)n(ula-)-150
1517   1636 y(tion)k(of)g(large)e(scale)h(biological)f(systems,)i(suc)n(h)f
# Line 1555 | Line 1549 | b(original)e(SSD)j(w)n(ater)d(mo)r(del)i(to)g(address)
1549   (estigators)-150 3545 y(of)f(the)g(SSD)h(w)n(ater)e(mo)r(del)h(ha)n(v)n
1550   (e)e(put)j(forth)e(adjustmen)n(ts)i(to)-150 3641 y(the)30
1551   b(original)e(SSD)j(w)n(ater)d(mo)r(del)i(to)g(address)e(abnormal)h
1552 < (den-)-150 3736 y(sit)n(y)i(b)r(eha)n(vior,)h(calling)f(the)h
1553 < (corrected)e(mo)r(del)i(SSD1.)1628 3706 y Fn(10)1730
1554 < 3736 y Fu(This)-150 3831 y(study)39 b(will)h(consider)e(this)i(new)f
1555 < (mo)r(del's)g(b)r(eha)n(vior)f(as)h(w)n(ell,)-150 3927
1556 < y(and)26 b(hop)r(efully)g(impro)n(v)n(e)f(up)r(on)h(its)g(depiction)g
1557 < (of)g(w)n(ater)f(under)-150 4022 y(conditions)i(without)h(the)g(Ew)n
1558 < (ald)f(Sum.)552 4299 y Fo(I)r(I.)89 b(METHODS)-67 4512
1559 < y Fu(As)50 b(stated)h(previously)-7 b(,)55 b(in)50 b(this)h(study)f
1560 < (the)h(long-range)-150 4608 y(dip)r(ole-dip)r(ole)37
1561 < b(in)n(teractions)f(w)n(ere)g(accoun)n(ted)h(for)f(using)h(the)-150
1562 < 4703 y(reaction)h(\014eld)h(metho)r(d.)70 b(The)39 b(magnitude)g(of)f
1563 < (the)i(reaction)-150 4799 y(\014eld)28 b(acting)f(on)g(dip)r(ole)h
1564 < Fm(i)37 b Fu(is)27 b(giv)n(en)g(b)n(y)303 5024 y Ff(E)347
1565 < 5036 y Fi(i)397 5024 y Fu(=)495 4968 y(2\()p Fj(")608
1566 < 4980 y Fi(s)661 4968 y Ff(\000)18 b Fu(1\))p 495 5005
1567 < 324 4 v 527 5081 a(2)p Fj(")608 5093 y Fi(s)661 5081
1568 < y Fu(+)g(1)856 4968 y(1)p 838 5005 78 4 v 838 5081 a
1569 < Fj(r)877 5057 y Fn(3)875 5102 y Fi(c)945 4946 y Fg(X)939
1570 < 5124 y Fi(j)s Ft(2R)1085 5024 y Fe(\026)1144 5045 y Fi(j)1179
1571 < 5024 y Fj(f)9 b Fu(\()p Fj(r)1298 5036 y Fi(ij)1357 5024
1572 < y Fu(\))28 b Fj(;)346 b Fu(\(7\))-150 5297 y(where)32
1573 < b Ff(R)h Fu(is)f(the)h(ca)n(vit)n(y)e(de\014ned)h(b)n(y)h(the)f
1574 < (cuto\013)h(radius)e(\()p Fj(r)1802 5309 y Fi(c)1837
1575 < 5297 y Fu(\),)-150 5392 y Fj(")-111 5404 y Fi(s)-43 5392
1576 < y Fu(is)i(the)h(dielectric)f(constan)n(t)f(imp)r(osed)h(on)g(the)g
1577 < (system)g(\(80)2042 -83 y(in)j(this)h(case\),)h Fe(\026)2619
1578 < -63 y Fi(j)2690 -83 y Fu(is)f(the)g(dip)r(ole)f(momen)n(t)g(v)n(ector)g
1579 < (of)g(parti-)2042 24 y(cle)43 b Fm(j)p Fu(,)48 b(and)43
1580 < b Fj(f)9 b Fu(\()p Fj(r)2574 36 y Fi(ij)2632 24 y Fu(\))44
1581 < b(is)f(a)g(cubic)g(switc)n(hing)g(function.)3827 -6 y
1582 < Fn(11)3941 24 y Fu(The)2042 120 y(reaction)c(\014eld)h(con)n(tribution)
1583 < f(to)h(the)h(total)f(energy)f(b)n(y)g(par-)2042 215 y(ticle)f
1584 < Fm(i)48 b Fu(is)38 b(giv)n(en)g(b)n(y)g Ff(\000)2828
1585 < 183 y Fn(1)p 2827 197 34 4 v 2827 244 a(2)2870 215 y
1586 < Fe(\026)2929 236 y Fi(i)2983 215 y Ff(\001)25 b(E)3075
1552 > (den-)-150 3736 y(sit)n(y)j(b)r(eha)n(vior)e(\(also)h(observ)n(ed)f
1553 > (here\),)j(calling)f(the)g(corrected)-150 3831 y(mo)r(del)24
1554 > b(SSD1.)313 3801 y Fn(10)408 3831 y Fu(This)g(study)g(will)g(consider)f
1555 > (this)h(new)g(mo)r(del's)-150 3927 y(b)r(eha)n(vior)30
1556 > b(as)g(w)n(ell,)h(and)g(hop)r(efully)h(impro)n(v)n(e)d(up)r(on)i(its)h
1557 > (depic-)-150 4022 y(tion)c(of)f(w)n(ater)g(under)g(conditions)g
1558 > (without)h(the)g(Ew)n(ald)f(Sum.)552 4299 y Fo(I)r(I.)89
1559 > b(METHODS)-67 4512 y Fu(As)50 b(stated)h(previously)-7
1560 > b(,)55 b(in)50 b(this)h(study)f(the)h(long-range)-150
1561 > 4608 y(dip)r(ole-dip)r(ole)37 b(in)n(teractions)f(w)n(ere)g(accoun)n
1562 > (ted)h(for)f(using)h(the)-150 4703 y(reaction)h(\014eld)h(metho)r(d.)70
1563 > b(The)39 b(magnitude)g(of)f(the)i(reaction)-150 4799
1564 > y(\014eld)28 b(acting)f(on)g(dip)r(ole)h Fm(i)37 b Fu(is)27
1565 > b(giv)n(en)g(b)n(y)303 5024 y Ff(E)347 5036 y Fi(i)397
1566 > 5024 y Fu(=)495 4968 y(2\()p Fj(")608 4980 y Fi(s)661
1567 > 4968 y Ff(\000)18 b Fu(1\))p 495 5005 324 4 v 527 5081
1568 > a(2)p Fj(")608 5093 y Fi(s)661 5081 y Fu(+)g(1)856 4968
1569 > y(1)p 838 5005 78 4 v 838 5081 a Fj(r)877 5057 y Fn(3)875
1570 > 5102 y Fi(c)945 4946 y Fg(X)939 5124 y Fi(j)s Ft(2R)1085
1571 > 5024 y Fe(\026)1144 5045 y Fi(j)1179 5024 y Fj(f)9 b
1572 > Fu(\()p Fj(r)1298 5036 y Fi(ij)1357 5024 y Fu(\))28 b
1573 > Fj(;)346 b Fu(\(7\))-150 5297 y(where)32 b Ff(R)h Fu(is)f(the)h(ca)n
1574 > (vit)n(y)e(de\014ned)h(b)n(y)h(the)f(cuto\013)h(radius)e(\()p
1575 > Fj(r)1802 5309 y Fi(c)1837 5297 y Fu(\),)-150 5392 y
1576 > Fj(")-111 5404 y Fi(s)-43 5392 y Fu(is)i(the)h(dielectric)f(constan)n
1577 > (t)f(imp)r(osed)h(on)g(the)g(system)g(\(80)2042 -83 y(in)j(this)h
1578 > (case\),)h Fe(\026)2619 -63 y Fi(j)2690 -83 y Fu(is)f(the)g(dip)r(ole)f
1579 > (momen)n(t)g(v)n(ector)g(of)g(parti-)2042 24 y(cle)43
1580 > b Fm(j)p Fu(,)48 b(and)43 b Fj(f)9 b Fu(\()p Fj(r)2574
1581 > 36 y Fi(ij)2632 24 y Fu(\))44 b(is)f(a)g(cubic)g(switc)n(hing)g
1582 > (function.)3827 -6 y Fn(11)3941 24 y Fu(The)2042 120
1583 > y(reaction)c(\014eld)h(con)n(tribution)f(to)h(the)h(total)f(energy)f(b)
1584 > n(y)g(par-)2042 215 y(ticle)f Fm(i)48 b Fu(is)38 b(giv)n(en)g(b)n(y)g
1585 > Ff(\000)2828 183 y Fn(1)p 2827 197 34 4 v 2827 244 a(2)2870
1586 > 215 y Fe(\026)2929 236 y Fi(i)2983 215 y Ff(\001)25 b(E)3075
1587   227 y Fi(i)3141 215 y Fu(and)38 b(the)h(torque)f(on)g(dip)r(ole)2042
1588   320 y Fm(i)47 b Fu(b)n(y)38 b Fe(\026)2298 340 y Fi(i)2351
1589   320 y Ff(\002)25 b(E)2485 332 y Fi(i)2513 320 y Fu(.)2536
# Line 1615 | Line 1609 | y(thermostat)i(and)h(barostat)f(as)h(outlined)g(b)n(y)
1609   y(isothermal)28 b(and)g(micro)r(canonical)f(ensem)n(bles.)40
1610   b(The)29 b(constan)n(t)2042 1657 y(pressure)c(sim)n(ulations)g(w)n(ere)
1611   g(implemen)n(ted)i(using)f(an)f(in)n(tegral)2042 1752
1612 < y(thermostat)i(and)h(barostat)f(as)h(outlined)g(b)n(y)g(Ho)r(o)n(v)n
1613 < (er.)3781 1722 y Fn(13)n(,14)3963 1752 y Fu(F)-7 b(or)2042
1614 < 1848 y(the)34 b(constan)n(t)e(pressure)g(sim)n(ulations,)i(the)g
1615 < Fm(Q)41 b Fu(parameter)32 b(for)2042 1943 y(the)e(w)n(as)f(set)h(to)g
1616 < (5.0)f(am)n(u)g Ff(\001)2928 1928 y Fu(\027)2928 1943
1617 < y(A)2990 1913 y Fn(2)3028 1943 y Fu(,)h(and)g(the)g(relaxation)e(time)j
1618 < (\()p Fj(\034)9 b Fu(\))2042 2038 y(w)n(as)26 b(set)i(at)f(100)g(ps.)
1619 < 2125 2134 y(In)n(tegration)e(of)h(the)g(equations)f(of)h(motion)g(w)n
1620 < (as)f(carried)g(out)2042 2229 y(using)h(the)g(symplectic)h(splitting)g
1621 < (metho)r(d)f(prop)r(osed)g(b)n(y)g(Dull-)2042 2325 y(w)n(eb)r(er)37
1622 < b Fm(et)i(al.)p Fu(.)2508 2295 y Fn(15)2618 2325 y Fu(The)f(reason)f
1623 < (for)g(this)i(in)n(tegrator)d(selection)2042 2420 y(deals)g(with)h(p)r
1612 > y(thermostat)k(and)h(barostat)f(as)g(outlined)h(b)n(y)g(Ho)r(o)n(v)n
1613 > (er.)3792 1722 y Fn(13)o(,14)3976 1752 y Fu(All)2042
1614 > 1848 y(particles)42 b(w)n(ere)g(treated)h(as)f(non-linear)g(rigid)h(b)r
1615 > (o)r(dies.)83 b(Vi-)2042 1943 y(brational)27 b(constrain)n(ts)h(are)g
1616 > (not)h(necessary)e(in)i(sim)n(ulations)f(of)2042 2038
1617 > y(SSD,)h(b)r(ecause)f(there)h(are)e(no)h(explicit)h(h)n(ydrogen)e
1618 > (atoms,)h(and)2042 2134 y(th)n(us)j(no)f(molecular)g(vibrational)f(mo)r
1619 > (des)h(need)h(to)g(b)r(e)g(consid-)2042 2229 y(ered.)2125
1620 > 2325 y(In)n(tegration)25 b(of)h(the)g(equations)f(of)h(motion)g(w)n(as)
1621 > f(carried)g(out)2042 2420 y(using)h(the)g(symplectic)h(splitting)g
1622 > (metho)r(d)f(prop)r(osed)g(b)n(y)g(Dull-)2042 2516 y(w)n(eb)r(er)37
1623 > b Fm(et)i(al.)p Fu(.)2508 2486 y Fn(15)2618 2516 y Fu(The)f(reason)f
1624 > (for)g(this)i(in)n(tegrator)d(selection)2042 2611 y(deals)g(with)h(p)r
1625   (o)r(or)f(energy)f(conserv)-5 b(ation)36 b(of)g(rigid)g(b)r(o)r(dy)h
1626 < (sys-)2042 2516 y(tems)24 b(using)h(quaternions.)34 b(While)25
1627 < b(quaternions)e(w)n(ork)h(w)n(ell)g(for)2042 2611 y(orien)n(tational)33
1626 > (sys-)2042 2707 y(tems)24 b(using)h(quaternions.)34 b(While)25
1627 > b(quaternions)e(w)n(ork)h(w)n(ell)g(for)2042 2802 y(orien)n(tational)33
1628   b(motion)h(in)h(alternate)e(ensem)n(bles,)j(the)f(micro-)2042
1629 < 2707 y(canonical)j(ensem)n(ble)i(has)f(a)g(constan)n(t)g(energy)g
1630 < (requiremen)n(t)2042 2802 y(that)27 b(is)h(actually)f(quite)g(sensitiv)
1631 < n(e)g(to)g(errors)f(in)h(the)h(equations)2042 2898 y(of)e(motion.)37
1632 < b(The)27 b(original)e(implemen)n(tation)i(of)f(this)h(co)r(de)g(uti-)
1633 < 2042 2993 y(lized)19 b(quaternions)e(for)h(rotational)f(motion)i
1634 < (propagation;)g(ho)n(w-)2042 3089 y(ev)n(er,)32 b(a)g(detailed)g(in)n
1635 < (v)n(estigation)f(sho)n(w)n(ed)g(that)i(they)f(resulted)2042
1636 < 3184 y(in)d(a)f(steady)g(drift)h(in)g(the)g(total)g(energy)-7
1637 < b(,)28 b(something)g(that)h(has)2042 3280 y(b)r(een)f(observ)n(ed)e(b)n
1638 < (y)h(others.)2941 3250 y Fn(16)2125 3375 y Fu(The)d(k)n(ey)g
1629 > 2898 y(canonical)j(ensem)n(ble)i(has)f(a)g(constan)n(t)g(energy)g
1630 > (requiremen)n(t)2042 2993 y(that)33 b(is)g(quite)g(sensitiv)n(e)g(to)f
1631 > (errors)f(in)i(the)h(equations)e(of)h(mo-)2042 3089 y(tion.)57
1632 > b(The)34 b(original)f(implemen)n(tation)i(of)f(this)g(co)r(de)h
1633 > (utilized)2042 3184 y(quaternions)27 b(for)g(rotational)f(motion)i
1634 > (propagation;)e(ho)n(w)n(ev)n(er,)2042 3280 y(a)35 b(detailed)h(in)n(v)
1635 > n(estigation)f(sho)n(w)n(ed)f(that)j(they)f(resulted)f(in)i(a)2042
1636 > 3375 y(steady)25 b(drift)h(in)f(the)h(total)f(energy)-7
1637 > b(,)25 b(something)g(that)h(has)f(b)r(een)2042 3471 y(observ)n(ed)h(b)n
1638 > (y)h(others.)2745 3440 y Fn(16)2125 3566 y Fu(The)d(k)n(ey)g
1639   (di\013erence)g(in)h(the)f(in)n(tegration)f(metho)r(d)i(prop)r(osed)
1640 < 2042 3471 y(b)n(y)37 b(Dullw)n(eb)r(er)h Fm(et)h(al.)68
1641 < b Fu(is)37 b(that)h(the)g(en)n(tire)f(rotation)g(matrix)2042
1642 < 3566 y(is)h(propagated)f(from)h(one)g(time)g(step)h(to)f(the)h(next.)69
1643 < b(In)39 b(the)2042 3662 y(past,)32 b(this)g(w)n(ould)f(not)g(ha)n(v)n
1644 < (e)g(b)r(een)h(as)f(feasible)g(a)g(option,)h(b)r(e-)2042
1645 < 3757 y(ing)39 b(that)h(the)g(rotation)e(matrix)h(for)g(a)h(single)f(b)r
1646 < (o)r(dy)g(is)h(nine)2042 3853 y(elemen)n(ts)23 b(long)g(as)f(opp)r
1647 < (osed)h(to)h(3)f(or)f(4)h(elemen)n(ts)g(for)g(Euler)g(an-)2042
1648 < 3948 y(gles)34 b(and)h(quaternions)f(resp)r(ectiv)n(ely)-7
1649 < b(.)59 b(System)35 b(memory)g(has)2042 4043 y(b)r(ecome)g(m)n(uc)n(h)g
1650 < (less)f(of)h(an)g(issue)g(in)g(recen)n(t)g(times,)i(and)e(this)2042
1651 < 4139 y(has)g(resulted)g(in)h(substan)n(tial)f(b)r(ene\014ts)h(in)g
1652 < (energy)e(conserv)-5 b(a-)2042 4234 y(tion.)36 b(There)26
1653 < b(is)g(still)h(the)g(issue)e(of)i(an)f(additional)f(5)h(or)g(6)g(addi-)
1654 < 2042 4330 y(tional)21 b(elemen)n(ts)h(for)f(describing)g(the)h(orien)n
1655 < (tation)f(of)g(eac)n(h)g(par-)2042 4425 y(ticle,)i(whic)n(h)e(will)h
1656 < (increase)e(dump)i(\014les)g(substan)n(tially)-7 b(.)34
1657 < b(Simply)2042 4521 y(translating)24 b(the)i(rotation)f(matrix)g(in)n
1658 < (to)h(its)g(comp)r(onen)n(t)f(Euler)2042 4616 y(angles)34
1659 < b(or)h(quaternions)g(for)g(storage)f(purp)r(oses)h(reliev)n(es)f(this)
1660 < 2042 4712 y(burden.)2125 4807 y(The)22 b(symplectic)h(splitting)g
1661 < (metho)r(d)g(allo)n(ws)e(for)h(V)-7 b(erlet)23 b(st)n(yle)2042
1662 < 4903 y(in)n(tegration)38 b(of)h(b)r(oth)h(linear)f(and)g(angular)f
1663 < (motion)h(of)h(rigid)2042 4998 y(b)r(o)r(dies.)93 b(In)47
1664 < b(the)g(in)n(tegration)e(metho)r(d,)51 b(the)c(orien)n(tational)2042
1665 < 5094 y(propagation)23 b(in)n(v)n(olv)n(es)h(a)h(sequence)g(of)h(matrix)
1666 < f(ev)-5 b(aluations)24 b(to)2042 5189 y(up)r(date)c(the)h(rotation)e
1667 < (matrix.)3026 5159 y Fn(15)3116 5189 y Fu(These)h(matrix)f(rotations)g
1668 < (end)2042 5285 y(up)33 b(b)r(eing)g(more)f(costly)g(computationally)g
1669 < (than)h(the)h(simpler)2042 5380 y(arithmetic)e(quaternion)e
1675 < (propagation.)48 b(On)32 b(a)n(v)n(erage,)e(a)h(1000)p
1676 < eop
1640 > 2042 3662 y(b)n(y)k(Dullw)n(eb)r(er)h Fm(et)i(al.)44
1641 > b Fu(is)30 b(that)g(the)g(en)n(tire)f(rotation)g(matrix)g(is)2042
1642 > 3757 y(propagated)d(from)i(one)g(time)h(step)g(to)f(the)h(next.)39
1643 > b(In)29 b(the)f(past,)2042 3853 y(this)e(w)n(ould)f(not)h(ha)n(v)n(e)e
1644 > (b)r(een)i(as)f(feasible)h(a)f(option,)h(b)r(eing)g(that)2042
1645 > 3948 y(the)39 b(rotation)e(matrix)h(for)g(a)g(single)g(b)r(o)r(dy)h(is)
1646 > g(nine)f(elemen)n(ts)2042 4043 y(long)29 b(as)g(opp)r(osed)h(to)f(3)h
1647 > (or)f(4)g(elemen)n(ts)h(for)f(Euler)h(angles)e(and)2042
1648 > 4139 y(quaternions)39 b(resp)r(ectiv)n(ely)-7 b(.)73
1649 > b(System)40 b(memory)f(has)g(b)r(ecome)2042 4234 y(m)n(uc)n(h)19
1650 > b(less)g(of)g(an)h(issue)f(in)g(recen)n(t)g(times,)j(and)d(this)h(has)e
1651 > (resulted)2042 4330 y(in)33 b(substan)n(tial)f(b)r(ene\014ts)h(in)g
1652 > (energy)f(conserv)-5 b(ation.)51 b(There)32 b(is)2042
1653 > 4425 y(still)i(the)g(issue)g(of)g(5)f(or)g(6)h(additional)f(elemen)n
1654 > (ts)h(for)f(describ-)2042 4521 y(ing)h(the)g(orien)n(tation)f(of)h(eac)
1655 > n(h)f(particle,)i(whic)n(h)f(will)g(increase)2042 4616
1656 > y(dump)27 b(\014les)f(substan)n(tially)-7 b(.)35 b(Simply)27
1657 > b(translating)e(the)h(rotation)2042 4712 y(matrix)36
1658 > b(in)n(to)h(its)h(comp)r(onen)n(t)f(Euler)f(angles)g(or)g(quaternions)
1659 > 2042 4807 y(for)27 b(storage)f(purp)r(oses)g(reliev)n(es)h(this)g
1660 > (burden.)2125 4903 y(The)22 b(symplectic)h(splitting)g(metho)r(d)g
1661 > (allo)n(ws)e(for)h(V)-7 b(erlet)23 b(st)n(yle)2042 4998
1662 > y(in)n(tegration)38 b(of)h(b)r(oth)h(linear)f(and)g(angular)f(motion)h
1663 > (of)h(rigid)2042 5094 y(b)r(o)r(dies.)93 b(In)47 b(the)g(in)n
1664 > (tegration)e(metho)r(d,)51 b(the)c(orien)n(tational)2042
1665 > 5189 y(propagation)23 b(in)n(v)n(olv)n(es)h(a)h(sequence)g(of)h(matrix)
1666 > f(ev)-5 b(aluations)24 b(to)2042 5285 y(up)r(date)c(the)h(rotation)e
1667 > (matrix.)3026 5255 y Fn(15)3116 5285 y Fu(These)h(matrix)f(rotations)g
1668 > (end)2042 5380 y(up)33 b(b)r(eing)g(more)f(costly)g(computationally)g
1669 > (than)h(the)h(simpler)p eop
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12421 < b(1:)34 b(Energy)26 b(conserv)l(ation)g(using)f(quaternion)h(based)f
12422 < (in)n(tegra-)-150 1505 y(tion)i(v)n(ersus)g(the)f(symplectic)h(step)f
12423 < (metho)r(d)g(prop)r(osed)h(b)n(y)f(Dullw)n(e-)-150 1592
12424 < y(b)r(er)h Fs(et)j(al.)39 b Fr(with)27 b(increasing)i(time)e(step.)39
12425 < b(F)-6 b(or)27 b(eac)n(h)h(time)f(step,)h(the)-150 1680
12426 < y(dotted)f(line)h(is)g(total)g(energy)f(using)h(the)f(symplectic)g
12427 < (step)g(in)n(tegra-)-150 1767 y(tor,)h(and)e(the)h(solid)h(line)f
12428 < (comes)g(from)g(the)f(quaternion)h(in)n(tegrator.)-150
12429 < 1854 y(The)22 b(larger)h(time)e(step)g(plots)h(are)h(shifted)f(up)e
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19601 <                        12 12 scale 16 16 1 [16 0 0 16 0 0]
19602 < {<0000000000000000000000000000000000000000000000000000000000000000>} image end }
19603 <                        >>      matrix makepattern /Pat0 exch def
19604 < <</PaintType 1 /PatternType 1 /TilingType 1
19605 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
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19607 < {<1111000044440000111100004444000011110000444400001111000044440000>} image end }
19608 <                        >>      matrix makepattern /Pat1 exch def
19609 < <</PaintType 1 /PatternType 1 /TilingType 1
19610 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
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19612 < {<1111444411114444111144441111444411114444111144441111444411114444>} image end }
19613 <                        >>      matrix makepattern /Pat2 exch def
19614 < <</PaintType 1 /PatternType 1 /TilingType 1
19615 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
19616 <                        12 12 scale 16 16 1 [16 0 0 16 0 0]
19617 < {<aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555>} image end }
19618 <                        >>      matrix makepattern /Pat3 exch def
19619 < <</PaintType 1 /PatternType 1 /TilingType 1
19620 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
19621 <                        12 12 scale 16 16 1 [16 0 0 16 0 0]
19622 < {<eeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbb>} image end }
19623 <                        >>      matrix makepattern /Pat4 exch def
19624 < <</PaintType 1 /PatternType 1 /TilingType 1
19625 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
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19627 < {<eeeeffffbbbbffffeeeeffffbbbbffffeeeeffffbbbbffffeeeeffffbbbbffff>} image end }
19628 <                        >>      matrix makepattern /Pat5 exch def
19629 < <</PaintType 1 /PatternType 1 /TilingType 1
19630 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
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19632 < {<f77dffffbeeffffff77dffffbeeffffff77dffffbeeffffff77dffffbeefffff>} image end }
19633 <                        >>      matrix makepattern /Pat6 exch def
19634 < <</PaintType 1 /PatternType 1 /TilingType 1
19635 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
19636 <                        12 12 scale 16 16 1 [16 0 0 16 0 0]
19637 < {<ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff>} image end }
19638 <                        >>      matrix makepattern /Pat7 exch def
19639 < <</PaintType 1 /PatternType 1 /TilingType 1
19640 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
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19643 <                        >>      matrix makepattern /Pat8 exch def
19644 < <</PaintType 1 /PatternType 1 /TilingType 1
19645 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
19646 <                        12 12 scale 16 16 1 [16 0 0 16 0 0]
19647 < {<87870f0f1e1e3c3c7878f0f0e1e1c3c387870f0f1e1e3c3c7878f0f0e1e1c3c3>} image end }
19648 <                        >>      matrix makepattern /Pat9 exch def
19649 < <</PaintType 1 /PatternType 1 /TilingType 1
19650 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
19651 <                        12 12 scale 16 16 1 [16 0 0 16 0 0]
19652 < {<cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc>} image end }
19653 <                        >>      matrix makepattern /Pat10 exch def
19654 < <</PaintType 1 /PatternType 1 /TilingType 1
19655 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
19656 <                        12 12 scale 16 16 1 [16 0 0 16 0 0]
19657 < {<00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffffff>} image end }
19658 <                        >>      matrix makepattern /Pat11 exch def
19659 < <</PaintType 1 /PatternType 1 /TilingType 1
19660 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
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19662 < {<7e7ebdbddbdbe7e7e7e7dbdbbdbd7e7e7e7ebdbddbdbe7e7e7e7dbdbbdbd7e7e>} image end }
19663 <                        >>      matrix makepattern /Pat12 exch def
19664 < <</PaintType 1 /PatternType 1 /TilingType 1
19665 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
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19667 < {<fd7e7ebfbfdfdfefeff7f7fbfbfdfd7e7ebfbfdfdfefeff7f7fbfbfdfd7e7ebf>} image end }
19668 <                        >>      matrix makepattern /Pat13 exch def
19669 < <</PaintType 1 /PatternType 1 /TilingType 1
19670 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
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19672 < {<7ebffd7efbfdf7fbeff7dfefbfdf7ebffd7efbfdf7fbeff7dfefbfdf7ebffd7e>} image end }
19673 <                        >>      matrix makepattern /Pat14 exch def
19674 < <</PaintType 1 /PatternType 1 /TilingType 1
19675 <                        /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin
19676 <                        12 12 scale 16 16 1 [16 0 0 16 0 0]
19677 < {<fffffbdff3dfebdfdbdfbbdf7bdffbdefbddfbdbfbd7fbcffbdfffffffffffff>} image end }
19678 <                        >>      matrix makepattern /Pat15 exch def
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12403   end
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# Line 20870 | Line 12408 | cleartomark countdictstack exch sub { end } repeat res
12408   %%EOF
12409  
12410   %%EndDocument
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12451 > b(one)h(can)g(tak)n(e)f(considerably)g(longer)-150 4035
12452 > y(time)34 b(steps,)g(leading)f(to)g(an)g(o)n(v)n(erall)e(reduction)i
12453 > (in)g(computa-)-150 4131 y(tion)28 b(time.)-67 4226 y(Energy)23
12454 > b(drift)j(in)f(these)g(SSD)g(particle)g(sim)n(ulations)f(w)n(as)f(un-)
12455 > -150 4322 y(noticeable)36 b(for)h(time)g(steps)g(up)g(to)g(three)g(fem)
12456 > n(toseconds.)64 b(A)-150 4417 y(sligh)n(t)40 b(energy)f(drift)i(on)f
12457 > (the)h(order)e(of)h(0.012)f(k)n(cal/mol)f(p)r(er)-150
12458 > 4513 y(nanosecond)21 b(w)n(as)h(observ)n(ed)g(at)g(a)h(time)g(step)g
12459 > (of)g(four)f(fem)n(tosec-)-150 4608 y(onds,)34 b(and)f(as)g(exp)r
12460 > (ected,)i(this)e(drift)h(increases)e(dramatically)-150
12461 > 4704 y(with)24 b(increasing)e(time)i(step.)35 b(T)-7
12462 > b(o)23 b(insure)g(accuracy)f(in)h(the)h(con-)-150 4799
12463 > y(stan)n(t)j(energy)f(sim)n(ulations,)h(time)h(steps)f(w)n(ere)f(set)i
12464 > (at)f(2)g(fs)h(and)-150 4895 y(k)n(ept)38 b(at)g(this)g(v)-5
12465 > b(alue)38 b(for)f(constan)n(t)g(pressure)g(sim)n(ulations)g(as)-150
12466 > 4990 y(w)n(ell.)-67 5086 y(Ice)g(crystals)e(in)i(b)r(oth)g(the)h
12467 > Fj(I)886 5098 y Fi(h)966 5086 y Fu(and)f Fj(I)1173 5098
12468 > y Fi(c)1244 5086 y Fu(lattices)f(w)n(ere)g(gen-)-150
12469 > 5181 y(erated)k(as)g(starting)g(p)r(oin)n(ts)g(for)g(all)g(the)h(sim)n
12470 > (ulations.)75 b(The)-150 5277 y Fj(I)-114 5289 y Fi(h)-38
12471 > 5277 y Fu(crystals)31 b(w)n(ere)h(formed)g(b)n(y)g(\014rst)g(arranging)
12472 > e(the)j(cen)n(ter)e(of)-150 5372 y(masses)21 b(of)i(the)g(SSD)g
12473 > (particles)f(in)n(to)g(a)g(\\hexagonal")e(ice)i(lattice)2042
12474 > -83 y(of)30 b(1024)f(particles.)45 b(Because)30 b(of)g(the)h(crystal)f
12475 > (structure)g(of)h Fj(I)4041 -71 y Fi(h)2042 12 y Fu(ice,)23
12476 > b(the)f(sim)n(ulation)f(b)r(o)n(x)g(assumed)g(a)g(rectangular)e(shap)r
12477 > (e)j(with)2042 108 y(a)43 b(edge)g(length)g(ratio)g(of)g(appro)n
12478 > (ximately)f(1.00)p Ff(\002)p Fu(1.06)p Ff(\002)p Fu(1.23.)2042
12479 > 203 y(The)c(particles)g(w)n(ere)g(then)h(allo)n(w)n(ed)e(to)h(orien)n
12480 > (t)g(freely)g(ab)r(out)2042 299 y(\014xed)23 b(p)r(ositions)f(with)i
12481 > (angular)d(momen)n(ta)i(randomized)f(at)h(400)2042 394
12482 > y(K)40 b(for)g(v)-5 b(arying)39 b(times.)75 b(The)40
12483 > b(rotational)f(temp)r(erature)h(w)n(as)2042 490 y(then)f(scaled)g(do)n
12484 > (wn)g(in)g(stages)f(to)h(slo)n(wly)f(co)r(ol)h(the)h(crystals)2042
12485 > 585 y(do)n(wn)27 b(to)g(25)f(K.)h(The)h(particles)e(w)n(ere)g(then)i
12486 > (allo)n(w)n(ed)e(translate)2042 681 y(with)35 b(\014xed)f(orien)n
12487 > (tations)f(at)h(a)g(constan)n(t)g(pressure)f(of)h(1)g(atm)2042
12488 > 776 y(for)d(50)f(ps)i(at)f(25)f(K.)i(Finally)-7 b(,)32
12489 > b(all)f(constrain)n(ts)f(w)n(ere)h(remo)n(v)n(ed)2042
12490 > 872 y(and)26 b(the)i(ice)e(crystals)g(w)n(ere)g(allo)n(w)n(ed)f(to)i
12491 > (equilibrate)f(for)g(50)g(ps)2042 967 y(at)32 b(25)g(K)h(and)g(a)f
12492 > (constan)n(t)g(pressure)g(of)g(1)h(atm.)52 b(This)33
12493 > b(pro)r(ce-)2042 1063 y(dure)i(resulted)g(in)h(structurally)f(stable)g
12494 > Fj(I)3409 1075 y Fi(h)3488 1063 y Fu(ice)h(crystals)e(that)2042
12495 > 1158 y(ob)r(ey)26 b(the)g(Bernal-F)-7 b(o)n(wler)24 b(rules)3084
12496 > 1128 y Fn(17,18)3239 1158 y Fu(.)36 b(This)26 b(metho)r(d)h(w)n(as)e
12497 > (also)2042 1254 y(utilized)j(in)h(the)f(making)f(of)h(diamond)g
12498 > (lattice)g Fj(I)3598 1266 y Fi(c)3661 1254 y Fu(ice)f(crystals,)2042
12499 > 1349 y(with)22 b(eac)n(h)f(cubic)h(sim)n(ulation)f(b)r(o)n(x)g
12500 > (consisting)g(of)g(either)h(512)e(or)2042 1445 y(1000)30
12501 > b(particles.)51 b(Only)32 b(isotropic)f(v)n(olume)h(\015uctuations)g(w)
12502 > n(ere)2042 1540 y(p)r(erformed)e(under)h(constan)n(t)f(pressure,)h(so)f
12503 > (the)i(ratio)e(of)h(edge)2042 1636 y(lengths)c(remained)g(constan)n(t)g
12504 > (throughout)g(the)h(sim)n(ulations.)2349 1912 y Fo(I)r(I)r(I.)90
12505 > b(RESUL)-7 b(TS)29 b(AND)g(DISCUSSION)2125 2125 y Fu(Melting)c(studies)
12506 > g(w)n(ere)g(p)r(erformed)f(on)h(the)h(randomized)e(ice)2042
12507 > 2221 y(crystals)18 b(using)i(constan)n(t)f(pressure)f(and)i(temp)r
12508 > (erature)g(dynam-)2042 2316 y(ics.)84 b(This)44 b(in)n(v)n(olv)n(ed)e
12509 > (an)h(initial)h(randomization)e(of)h(v)n(elo)r(ci-)2042
12510 > 2412 y(ties)31 b(ab)r(out)h(the)f(starting)g(temp)r(erature)g(of)g(25)g
12511 > (K)g(for)f(v)-5 b(arying)2042 2507 y(amoun)n(ts)31 b(of)i(time.)51
12512 > b(The)33 b(systems)e(w)n(ere)h(all)g(equilibrated)g(for)2042
12513 > 2603 y(100)25 b(ps)h(prior)f(to)i(a)f(200)f(ps)h(data)g(collection)g
12514 > (run)g(at)g(eac)n(h)g(tem-)2042 2698 y(p)r(erature)g(setting,)h
12515 > (ranging)f(from)h(25)f(to)h(400)f(K,)h(with)g(a)g(max-)2042
12516 > 2794 y(im)n(um)33 b(degree)f(incremen)n(t)h(of)g(25)f(K.)h(F)-7
12517 > b(or)32 b(regions)g(of)h(in)n(terest)2042 2889 y(along)i(this)i(step)n
12518 > (wise)f(progression,)g(the)h(temp)r(erature)f(incre-)2042
12519 > 2985 y(men)n(t)28 b(w)n(as)g(decreased)f(from)h(25)f(K)h(to)h(10)e(and)
12520 > h(then)h(5)f(K.)g(The)2042 3080 y(ab)r(o)n(v)n(e)e(equilibration)i(and)
12521   f(pro)r(duction)h(times)g(w)n(ere)f(su\016cien)n(t)2042
12522 < 4757 y(in)g(that)g(the)g(system)f(v)n(olume)g(\015uctuations)h(damp)r
12523 < (ened)g(out)g(in)2042 4852 y(all)34 b(but)g(the)h(v)n(ery)e(cold)g(sim)
12524 < n(ulations)g(\(b)r(elo)n(w)h(225)f(K\).)h(In)g(or-)2042
12525 < 4948 y(der)23 b(to)h(further)g(impro)n(v)n(e)e(statistics,)j(\014v)n(e)
12526 < e(separate)g(sim)n(ulation)2042 5043 y(progressions)37
12527 < b(w)n(ere)i(p)r(erformed,)k(and)d(the)g(a)n(v)n(eraged)e(results)2042
12528 < 5138 y(from)27 b(the)h Fj(I)2417 5150 y Fi(h)2488 5138
12529 < y Fu(melting)g(sim)n(ulations)f(are)f(sho)n(wn)h(in)h(\014gure)f(2.)p
12530 < eop
12522 > 3175 y(in)g(that)g(the)g(system)f(v)n(olume)g(\015uctuations)h(damp)r
12523 > (ened)g(out)g(in)2042 3271 y(all)e(but)h(the)f(v)n(ery)f(cold)h(sim)n
12524 > (ulations)g(\(b)r(elo)n(w)g(225)f(K\).)h(In)h(order)2042
12525 > 3366 y(to)38 b(further)g(impro)n(v)n(e)f(statistics,)j(an)e(ensem)n
12526 > (ble)g(a)n(v)n(erage)d(w)n(as)2042 3462 y(accum)n(ulated)30
12527 > b(from)h(\014v)n(e)f(separate)g(sim)n(ulation)g(progressions,)2042
12528 > 3557 y(eac)n(h)d(starting)f(from)i(a)f(di\013eren)n(t)g(ice)h(crystal.)
12529 > 2638 3834 y Fo(A.)88 b(Densit)n(y)29 b(Beha)n(vior)2125
12530 > 4047 y Fu(In)e(the)h(initial)g(a)n(v)n(erage)d(densit)n(y)i(v)n(ersus)f
12531 > (temp)r(erature)h(plot,)2042 4143 y(the)34 b(densit)n(y)g(maxim)n(um)g
12532 > (clearly)f(app)r(ears)g(b)r(et)n(w)n(een)i(255)d(and)2042
12533 > 4238 y(265)i(K.)h(The)h(calculated)f(densities)h(within)g(this)g(range)
12534 > e(w)n(ere)2042 4334 y(nearly)f(indistinguishable,)i(as)e(can)g(b)r(e)h
12535 > (seen)g(in)g(the)g(zo)r(om)f(of)2042 4429 y(this)g(region)f(of)h(in)n
12536 > (terest,)h(sho)n(wn)e(in)h(\014gure)g Fh(??)p Fu(.)53
12537 > b(The)33 b(greater)2042 4525 y(certain)n(t)n(y)24 b(of)h(the)h(a)n(v)n
12538 > (erage)c(v)-5 b(alue)26 b(at)f(260)f(K)h(mak)n(es)f(a)h(go)r(o)r(d)f
12539 > (ar-)2042 4620 y(gumen)n(t)k(for)g(the)h(actual)f(densit)n(y)g(maxim)n
12540 > (um)g(residing)g(at)g(this)2042 4715 y(midp)r(oin)n(t)j(v)-5
12541 > b(alue.)46 b(Figure)30 b Fh(??)i Fu(w)n(as)d(constructed)i(using)f(ice)
12542 > h Fj(I)4041 4727 y Fi(h)2042 4811 y Fu(crystals)23 b(for)i(the)g
12543 > (initial)g(con\014guration;)f(and)h(though)g(not)f(pic-)2042
12544 > 4906 y(tured,)h(the)h(sim)n(ulations)e(starting)g(from)g(ice)h
12545 > Fj(I)3517 4918 y Fi(c)3576 4906 y Fu(crystal)f(con\014g-)2042
12546 > 5002 y(urations)h(sho)n(w)n(ed)h(similar)g(results,)g(with)h(a)f
12547 > (liquid-phase)g(den-)2042 5097 y(sit)n(y)g(maxim)n(um)g(in)h(this)g
12548 > (same)f(region)f(\(b)r(et)n(w)n(een)i(255)e(and)i(260)2042
12549 > 5193 y(K\).)f(In)h(addition,)g(the)f Fj(I)2818 5205 y
12550 > Fi(c)2879 5193 y Fu(crystals)g(are)f(more)h(fragile)f(than)i(the)2042
12551 > 5288 y Fj(I)2078 5300 y Fi(h)2154 5288 y Fu(crystals,)34
12552 > b(leading)e(them)i(to)f(deform)f(in)n(to)h(a)g(dense)g(glassy)2042
12553 > 5384 y(state)d(at)g(lo)n(w)n(er)f(temp)r(eratures.)45
12554 > b(This)30 b(resulted)h(in)f(an)g(o)n(v)n(erall)p eop
12555   %%Page: 4 4
12556   4 3 bop 4043 -299 a Fu(4)-150 -166 y
12557   gsave currentpoint currentpoint translate -90 neg rotate neg exch
# Line 30050 | Line 21676 | b(3:)144 b(Densit)n(y)80 b(v)n(ersus)g(temp)r(erature)
21676   @endspecial 1385 -166 a
21677   currentpoint grestore moveto
21678   1385 -166 a -150 1525 a Fr(FIG.)81
21679 < b(3:)144 b(Densit)n(y)80 b(v)n(ersus)g(temp)r(erature)g(for)h(TIP4P)
21679 > b(2:)144 b(Densit)n(y)80 b(v)n(ersus)g(temp)r(erature)g(for)h(TIP4P)
21680   1805 1493 y Fc(19)1871 1525 y Fr(,)-150 1612 y(TIP3P)75
21681   1580 y Fc(19)141 1612 y Fr(,)33 b(SPC/E)435 1580 y Fc(20)501
21682   1612 y Fr(,)g(SSD)d(without)i(Reaction)f(Field,)j(SSD,)d(and)-150
21683 < 1699 y(Exp)r(erimen)n(t)243 1667 y Fc(21)307 1699 y Fr(.)446
21684 < 1979 y Fo(A.)88 b(Densit)n(y)29 b(Beha)n(vior)-67 2193
21685 < y Fu(In)f(the)g(initial)f(a)n(v)n(erage)e(densit)n(y)i(v)n(ersus)f
21686 < (temp)r(erature)h(plot,)-150 2288 y(the)35 b(densit)n(y)f(maxim)n(um)g
21687 < (clearly)f(app)r(ears)g(b)r(et)n(w)n(een)h(255)f(and)-150
21688 < 2384 y(265)h(K.)i(The)f(calculated)g(densities)h(within)g(this)g(range)
21689 < e(w)n(ere)-150 2479 y(nearly)f(indistinguishable,)i(as)e(can)g(b)r(e)i
21690 < (seen)e(in)h(the)g(zo)r(om)f(of)-150 2575 y(this)38 b(region)e(of)h(in)
21691 < n(terest,)i(sho)n(wn)e(in)h(\014gure)e(2.)66 b(The)37
21692 < b(greater)-150 2670 y(certain)n(t)n(y)24 b(of)h(the)h(a)n(v)n(erage)d
21693 < (v)-5 b(alue)25 b(at)g(260)f(K)h(mak)n(es)f(a)h(go)r(o)r(d)g(ar-)-150
21694 < 2766 y(gumen)n(t)j(for)g(the)h(actual)f(densit)n(y)g(maxim)n(um)g
30069 < (residing)g(at)g(this)-150 2861 y(midp)r(oin)n(t)36 b(v)-5
30070 < b(alue.)61 b(Figure)35 b(2)g(w)n(as)g(constructed)g(using)g(ice)h
30071 < Fj(I)1849 2873 y Fi(h)-150 2956 y Fu(crystals)24 b(for)g(the)h(initial)
30072 < g(con\014guration;)f(and)h(though)g(not)g(pic-)-150 3052
30073 < y(tured,)h(the)f(sim)n(ulations)f(starting)g(from)h(ice)f
30074 < Fj(I)1325 3064 y Fi(c)1385 3052 y Fu(crystal)f(con\014g-)-150
30075 < 3147 y(urations)j(sho)n(w)n(ed)f(similar)h(results,)g(with)h(a)g
30076 < (liquid-phase)f(den-)-150 3243 y(sit)n(y)g(maxim)n(um)h(in)f(this)h
30077 < (same)f(region)f(\(b)r(et)n(w)n(een)i(255)e(and)i(260)-150
30078 < 3338 y(K\).)f(In)h(addition,)g(the)g Fj(I)627 3350 y
30079 < Fi(c)688 3338 y Fu(crystals)e(are)g(more)h(fragile)f(than)i(the)-150
30080 < 3434 y Fj(I)-114 3446 y Fi(h)-37 3434 y Fu(crystals,)33
30081 < b(leading)f(them)i(to)f(deform)g(in)n(to)f(a)h(dense)g(glassy)-150
30082 < 3529 y(state)d(at)h(lo)n(w)n(er)d(temp)r(eratures.)45
30083 < b(This)31 b(resulted)f(in)g(an)h(o)n(v)n(erall)-150 3625
30084 < y(lo)n(w)k(temp)r(erature)g(densit)n(y)h(maxim)n(um)g(at)f(200)f(K,)i
30085 < (but)g(they)-150 3720 y(still)i(retained)g(a)g(common)f(liquid)i(state)
30086 < f(densit)n(y)g(maxim)n(um)-150 3816 y(with)28 b(the)g
30087 < Fj(I)218 3828 y Fi(h)289 3816 y Fu(sim)n(ulations.)-67
30088 < 3911 y(The)19 b(densit)n(y)g(maxim)n(um)g(for)g(SSD)h(actually)e
30089 < (compares)g(quite)-150 4007 y(fa)n(v)n(orably)h(to)j(other)f(simple)h
30090 < (w)n(ater)f(mo)r(dels.)35 b(Figure)21 b(3)g(sho)n(ws)g(a)-150
30091 < 4102 y(plot)j(of)g(these)f(\014ndings)h(with)g(the)h(densit)n(y)e
30092 < (progression)e(of)j(sev-)-150 4198 y(eral)36 b(other)g(mo)r(dels)h(and)
30093 < f(exp)r(erimen)n(t)h(obtained)g(from)f(other)-150 4293
30094 < y(sources.)134 4263 y Fn(19)o({21)328 4293 y Fu(Of)26
21683 > 1699 y(Exp)r(erimen)n(t)243 1667 y Fc(21)307 1699 y Fr(.)-150
21684 > 1979 y Fu(lo)n(w)k(temp)r(erature)g(densit)n(y)h(maxim)n(um)g(at)f(200)
21685 > f(K,)i(but)g(they)-150 2075 y(still)i(retained)g(a)g(common)f(liquid)i
21686 > (state)f(densit)n(y)g(maxim)n(um)-150 2170 y(with)28
21687 > b(the)g Fj(I)218 2182 y Fi(h)289 2170 y Fu(sim)n(ulations.)-67
21688 > 2266 y(The)19 b(densit)n(y)g(maxim)n(um)g(for)g(SSD)h(actually)e
21689 > (compares)g(quite)-150 2361 y(fa)n(v)n(orably)h(to)j(other)f(simple)h
21690 > (w)n(ater)f(mo)r(dels.)35 b(Figure)21 b(2)g(sho)n(ws)g(a)-150
21691 > 2456 y(plot)j(of)g(these)f(\014ndings)h(with)g(the)h(densit)n(y)e
21692 > (progression)e(of)j(sev-)-150 2552 y(eral)36 b(other)g(mo)r(dels)h(and)
21693 > f(exp)r(erimen)n(t)h(obtained)g(from)f(other)-150 2647
21694 > y(sources.)134 2617 y Fn(19)o({21)328 2647 y Fu(Of)26
21695   b(the)g(listed)g(simple)g(w)n(ater)f(mo)r(dels,)h(SSD)h(has)-150
21696 < 4389 y(results)d(closest)g(to)h(the)g(exp)r(erimen)n(tally)f(observ)n
21697 < (ed)f(w)n(ater)h(den-)-150 4484 y(sit)n(y)i(maxim)n(um.)36
21696 > 2743 y(results)d(closest)g(to)h(the)g(exp)r(erimen)n(tally)f(observ)n
21697 > (ed)f(w)n(ater)h(den-)-150 2838 y(sit)n(y)i(maxim)n(um.)36
21698   b(Of)27 b(the)g(listed)f(w)n(ater)f(mo)r(dels,)i(TIP4P)e(has)h(a)-150
21699 < 4580 y(densit)n(y)32 b(maxim)n(um)g(b)r(eha)n(vior)f(most)h(lik)n(e)g
21700 < (that)h(seen)f(in)h(SSD.)-150 4675 y(Though)25 b(not)h(sho)n(wn,)f(it)h
21699 > 2934 y(densit)n(y)32 b(maxim)n(um)g(b)r(eha)n(vior)f(most)h(lik)n(e)g
21700 > (that)h(seen)f(in)h(SSD.)-150 3029 y(Though)25 b(not)h(sho)n(wn,)f(it)h
21701   (is)g(useful)g(to)f(note)h(that)g(TIP5P)e(has)h(a)-150
21702 < 4771 y(w)n(ater)i(densit)n(y)g(maxim)n(um)g(nearly)g(iden)n(tical)g(to)
21703 < h(exp)r(erimen)n(t.)-67 4866 y(P)n(ossibly)j(of)i(more)g(imp)r(ortance)
21704 < f(is)h(the)h(densit)n(y)e(scaling)g(of)-150 4961 y(SSD)27
21702 > 3125 y(w)n(ater)i(densit)n(y)g(maxim)n(um)g(nearly)g(iden)n(tical)g(to)
21703 > h(exp)r(erimen)n(t.)-67 3220 y(P)n(ossibly)j(of)i(more)g(imp)r(ortance)
21704 > f(is)h(the)h(densit)n(y)e(scaling)g(of)-150 3316 y(SSD)27
21705   b(relativ)n(e)f(to)h(other)f(common)g(mo)r(dels)h(at)f(an)n(y)g(giv)n
21706 < (en)g(tem-)-150 5057 y(p)r(erature)31 b(\(Fig.)48 b(3\).)f(Note)32
21707 < b(that)f(the)h(SSD)g(mo)r(del)g(assumes)e(a)-150 5152
21706 > (en)g(tem-)-150 3411 y(p)r(erature)31 b(\(Fig.)48 b(2\).)f(Note)32
21707 > b(that)f(the)h(SSD)g(mo)r(del)g(assumes)e(a)-150 3507
21708   y(lo)n(w)n(er)e(densit)n(y)h(than)g(an)n(y)f(of)h(the)h(other)e(listed)
21709 < i(mo)r(dels)f(at)g(the)-150 5248 y(same)i(pressure,)h(b)r(eha)n(vior)e
21709 > i(mo)r(dels)f(at)g(the)-150 3602 y(same)i(pressure,)h(b)r(eha)n(vior)e
21710   (whic)n(h)i(is)g(esp)r(ecially)f(apparen)n(t)g(at)-150
21711 < 5343 y(temp)r(eratures)h(greater)f(than)i(300)e(K.)h(Lo)n(w)n(er)f
21712 < (than)i(exp)r(ected)2042 -83 y(densities)d(ha)n(v)n(e)e(b)r(een)j
21713 < (observ)n(ed)d(for)i(other)f(systems)g(with)i(the)2042
21714 < 12 y(use)h(of)h(a)f(reaction)g(\014eld)h(for)f(long-range)e
21715 < (electrostatic)i(in)n(ter-)2042 108 y(actions,)g(so)g(the)g(most)g(lik)
21716 < n(ely)g(reason)e(for)i(these)g(signi\014can)n(tly)2042
21717 < 203 y(lo)n(w)n(er)23 b(densities)h(in)h(these)g(sim)n(ulations)e(is)i
21718 < (the)g(presence)e(of)i(the)2042 299 y(reaction)f(\014eld.)2533
21719 < 269 y Fn(12)2629 299 y Fu(In)h(order)f(to)h(test)g(the)h(e\013ect)g(of)
21720 < f(the)g(reaction)2042 394 y(\014eld)j(on)g(the)h(densit)n(y)f(of)g(the)
21721 < g(systems,)g(the)h(sim)n(ulations)e(w)n(ere)2042 490
21722 < y(rep)r(eated)32 b(for)g(the)i(temp)r(erature)e(region)g(of)g(in)n
21723 < (terest)h(without)2042 585 y(a)27 b(reaction)g(\014eld)h(presen)n(t.)37
21724 < b(The)28 b(results)f(of)h(these)g(sim)n(ulations)2042
21725 < 681 y(are)38 b(also)g(displa)n(y)n(ed)h(in)g(\014gure)g(3.)71
21726 < b(Without)41 b(reaction)d(\014eld,)2042 776 y(these)26
21727 < b(densities)f(increase)g(considerably)f(to)i(more)f(exp)r(erimen-)2042
21728 < 872 y(tally)43 b(reasonable)e(v)-5 b(alues,)46 b(esp)r(ecially)d
21729 < (around)e(the)j(freezing)2042 967 y(p)r(oin)n(t)37 b(of)g(liquid)h(w)n
21730 < (ater.)64 b(The)38 b(shap)r(e)e(of)i(the)f(curv)n(e)f(is)h(simi-)2042
21731 < 1063 y(lar)g(to)h(the)g(curv)n(e)f(pro)r(duced)h(from)g(SSD)g(sim)n
21732 < (ulations)g(using)2042 1158 y(reaction)e(\014eld,)k(sp)r(eci\014cally)c
21733 < (the)i(rapidly)e(decreasing)f(densi-)2042 1254 y(ties)24
21711 > 3698 y(temp)r(eratures)h(greater)f(than)i(300)e(K.)h(Lo)n(w)n(er)f
21712 > (than)i(exp)r(ected)-150 3793 y(densities)d(ha)n(v)n(e)f(b)r(een)h
21713 > (observ)n(ed)e(for)i(other)f(systems)h(with)g(the)-150
21714 > 3889 y(use)j(of)f(a)g(reaction)g(\014eld)h(for)f(long-range)e
21715 > (electrostatic)i(in)n(ter-)-150 3984 y(actions,)h(so)e(the)i(most)e
21716 > (lik)n(ely)h(reason)f(for)g(these)h(signi\014can)n(tly)-150
21717 > 4080 y(lo)n(w)n(er)23 b(densities)h(in)h(these)g(sim)n(ulations)f(is)g
21718 > (the)h(presence)f(of)g(the)-150 4175 y(reaction)g(\014eld.)341
21719 > 4145 y Fn(12)437 4175 y Fu(In)h(order)f(to)h(test)h(the)f(e\013ect)h
21720 > (of)f(the)h(reaction)-150 4271 y(\014eld)i(on)g(the)h(densit)n(y)f(of)g
21721 > (the)h(systems,)e(the)i(sim)n(ulations)e(w)n(ere)-150
21722 > 4366 y(rep)r(eated)32 b(for)h(the)g(temp)r(erature)f(region)g(of)h(in)n
21723 > (terest)f(without)-150 4461 y(a)27 b(reaction)g(\014eld)h(presen)n(t.)
21724 > 37 b(The)28 b(results)g(of)f(these)h(sim)n(ulations)-150
21725 > 4557 y(are)38 b(also)h(displa)n(y)n(ed)f(in)h(\014gure)g(2.)72
21726 > b(Without)40 b(reaction)e(\014eld,)-150 4652 y(these)26
21727 > b(densities)g(increase)e(considerably)g(to)i(more)f(exp)r(erimen-)-150
21728 > 4748 y(tally)43 b(reasonable)e(v)-5 b(alues,)46 b(esp)r(ecially)d
21729 > (around)f(the)h(freezing)-150 4843 y(p)r(oin)n(t)37 b(of)g(liquid)h(w)n
21730 > (ater.)65 b(The)37 b(shap)r(e)g(of)g(the)g(curv)n(e)g(is)g(simi-)-150
21731 > 4939 y(lar)g(to)h(the)g(curv)n(e)f(pro)r(duced)h(from)g(SSD)h(sim)n
21732 > (ulations)e(using)-150 5034 y(reaction)f(\014eld,)k(sp)r(eci\014cally)c
21733 > (the)i(rapidly)e(decreasing)g(densi-)-150 5130 y(ties)24
21734   b(at)g(higher)g(temp)r(eratures;)g(ho)n(w)n(ev)n(er,)f(a)h(sligh)n(t)g
21735 < (shift)g(in)h(the)2042 1349 y(densit)n(y)30 b(maxim)n(um)g(lo)r
21736 < (cation,)g(do)n(wn)f(to)h(245)f(K,)h(is)g(observ)n(ed.)2042
21737 < 1445 y(This)21 b(is)f(probably)g(a)g(more)g(accurate)g(comparison)f(to)
21738 < i(the)g(other)2042 1540 y(listed)f(w)n(ater)f(mo)r(dels)g(in)h(that)g
30139 < (no)g(long)f(range)f(corrections)g(w)n(ere)2042 1636
30140 < y(applied)27 b(in)h(those)f(sim)n(ulations.)3079 1605
30141 < y Fn(19,20)2125 1731 y Fu(It)33 b(has)e(b)r(een)i(observ)n(ed)e(that)i
30142 < (densities)f(are)f(dep)r(enden)n(t)i(on)2042 1826 y(the)j(cuto\013)h
30143 < (radius)e(used)h(for)f(a)h(v)-5 b(ariet)n(y)35 b(of)h(w)n(ater)f(mo)r
30144 < (dels)h(in)2042 1922 y(sim)n(ulations)g(b)r(oth)i(with)g(and)f(without)
30145 < h(the)g(use)f(of)g(reaction)2042 2017 y(\014eld.)2217
30146 < 1987 y Fn(12)2323 2017 y Fu(In)f(order)e(to)h(address)g(the)h(p)r
30147 < (ossible)f(a\013ect)g(of)h(cuto\013)2042 2113 y(radius,)26
30148 < b(sim)n(ulations)g(w)n(ere)h(p)r(erformed)f(with)i(a)e(dip)r(olar)h
30149 < (cuto\013)2042 2208 y(radius)j(of)g(12.0)2571 2193 y(\027)2571
30150 < 2208 y(A)h(to)g(complimen)n(t)f(the)i(previous)d(SSD)j(sim)n(u-)2042
30151 < 2304 y(lations,)e(all)g(p)r(erformed)g(with)h(a)f(cuto\013)g(of)g(9.0)
30152 < 3587 2289 y(\027)3587 2304 y(A.)h(All)f(the)h(re-)2042
30153 < 2399 y(sulting)e(densities)h(o)n(v)n(erlapp)r(ed)e(within)j(error)c
30154 < (and)j(sho)n(w)n(ed)e(no)2042 2495 y(signi\014can)n(t)21
30155 < b(trend)h(in)g(lo)n(w)n(er)f(or)g(higher)g(densities)i(as)e(a)h
30156 < (function)2042 2590 y(of)33 b(cuto\013)h(radius,)h(b)r(oth)f(for)f(sim)
30157 < n(ulations)g(with)h(and)g(without)2042 2686 y(reaction)39
30158 < b(\014eld.)77 b(These)40 b(results)g(indicate)h(that)g(there)f(is)g(no)
30159 < 2042 2781 y(ma)5 b(jor)26 b(b)r(ene\014t)i(in)f(c)n(ho)r(osing)f(a)h
30160 < (longer)f(cuto\013)i(radius)e(in)i(sim)n(u-)2042 2877
30161 < y(lations)23 b(using)h(SSD.)h(This)f(is)g(comforting)f(in)h(that)g(the)
30162 < h(use)f(of)g(a)2042 2972 y(longer)e(cuto\013)h(radius)f(results)h(in)g
30163 < (a)g(near)f(doubling)h(of)g(the)h(time)2042 3068 y(required)i(to)i
30164 < (compute)g(a)f(single)g(tra)5 b(jectory)-7 b(.)2596 3344
30165 < y Fo(B.)88 b(T)-7 b(ransp)r(ort)30 b(Beha)n(vior)2125
30166 < 3557 y Fu(Of)f(imp)r(ortance)f(in)h(these)f(t)n(yp)r(es)h(of)g(studies)
30167 < f(are)g(the)h(trans-)2042 3653 y(p)r(ort)44 b(prop)r(erties)f(of)h(the)
30168 < g(particles)f(and)h(ho)n(w)f(they)h(c)n(hange)2042 3748
30169 < y(when)29 b(altering)f(the)h(en)n(vironmen)n(tal)e(conditions.)41
30170 < b(In)29 b(order)e(to)2042 3844 y(prob)r(e)34 b(transp)r(ort,)i(constan)
30171 < n(t)d(energy)h(sim)n(ulations)g(w)n(ere)g(p)r(er-)2042
30172 < 3939 y(formed)27 b(ab)r(out)g(the)h(a)n(v)n(erage)c(densit)n(y)j(unco)n
30173 < (v)n(ered)f(b)n(y)h(the)h(con-)2042 4035 y(stan)n(t)21
30174 < b(pressure)g(sim)n(ulations.)34 b(Sim)n(ulations)22 b(started)f(with)h
30175 < (ran-)2042 4130 y(domized)32 b(v)n(elo)r(cities)f(and)h(underw)n(en)n
30176 < (t)g(50)f(ps)h(of)h(temp)r(erature)2042 4226 y(scaling)25
30177 < b(and)h(50)f(ps)h(of)g(constan)n(t)f(energy)g(equilibration)g(b)r
30178 < (efore)2042 4321 y(obtaining)32 b(a)h(200)e(ps)i(tra)5
30179 < b(jectory)-7 b(.)52 b(Di\013usion)33 b(constan)n(ts)f(w)n(ere)2042
30180 < 4417 y(calculated)27 b(via)h(ro)r(ot-mean)f(square)f(deviation)i
30181 < (analysis.)37 b(The)2042 4512 y(a)n(v)n(eraged)e(results)i(from)h(5)f
30182 < (sets)h(of)f(these)h(NVE)g(sim)n(ulations)2042 4608 y(is)29
30183 < b(displa)n(y)n(ed)f(in)i(\014gure)f(4,)g(alongside)f(exp)r(erimen)n
30184 < (tal,)h(SPC/E,)2042 4703 y(and)e(TIP5P)f(results.)2735
30185 < 4673 y Fn(4,20,22,23)2125 4799 y Fu(The)38 b(observ)n(ed)e(v)-5
30186 < b(alues)37 b(for)g(the)h(di\013usion)g(constan)n(t)f(p)r(oin)n(t)2042
30187 < 4894 y(out)45 b(one)g(of)g(the)h(strengths)e(of)h(the)h(SSD)g(mo)r
30188 < (del.)90 b(Of)45 b(the)2042 4990 y(three)39 b(exp)r(erimen)n(tal)g(mo)r
30189 < (dels)g(sho)n(wn,)j(the)e(SSD)g(mo)r(del)g(has)2042 5085
30190 < y(the)23 b(most)g(accurate)f(depiction)i(of)f(the)g(di\013usion)h
30191 < (trend)f(seen)g(in)2042 5180 y(exp)r(erimen)n(t)i(in)g(b)r(oth)h(the)g
30192 < (sup)r(erco)r(oled)e(and)h(normal)f(regimes.)2042 5276
30193 < y(SPC/E)19 b(do)r(es)h(a)g(resp)r(ectable)f(job)h(b)n(y)g(getting)g
30194 < (similar)g(v)-5 b(alues)20 b(as)2042 5371 y(SSD)28 b(and)f(exp)r
30195 < (erimen)n(t)h(around)e(290)g(K;)h(ho)n(w)n(ev)n(er,)f(it)i(deviates)p
30196 < eop
30197 < %%Page: 5 5
30198 < 5 4 bop 4043 -299 a Fu(5)-129 -166 y
21735 > (shift)h(in)f(the)-150 5225 y(densit)n(y)30 b(maxim)n(um)g(lo)r
21736 > (cation,)g(do)n(wn)g(to)f(245)g(K,)h(is)g(observ)n(ed.)-150
21737 > 5321 y(This)21 b(is)f(probably)g(a)h(more)f(accurate)f(comparison)g(to)
21738 > i(the)g(other)2063 -166 y
21739   gsave currentpoint currentpoint translate -90 neg rotate neg exch
21740   neg exch translate
21741 < -129 -166 a @beginspecial
21742 < 104 @llx 85 @lly 556 @urx 674 @ury 1842 @rwi @setspecial
21741 > 2063 -166 a @beginspecial 104
21742 > @llx 85 @lly 556 @urx 674 @ury 1842 @rwi @setspecial
21743   %%BeginDocument: betterDiffuse.epsi
21744   %!PS-Adobe-2.0 EPSF-1.2
21745   %%Title: betterDiffuse.ps
# Line 38176 | Line 29716 | cleartomark countdictstack exch sub { end } repeat res
29716   %%EOF
29717  
29718   %%EndDocument
29719 < @endspecial 1406 -166 a
29719 > @endspecial 3598 -166 a
29720   currentpoint grestore moveto
29721 < 1406 -166 a -150 1513 a Fr(FIG.)22
29722 < b(4:)33 b(Av)n(erage)22 b(di\013usion)f(co)r(e\016cien)n(t)i(o)n(v)n
29723 < (er)e(increasing)i(temp)r(era-)-150 1600 y(ture)c(for)i(SSD,)e(SPC/E)
29724 < 543 1568 y Fc(20)609 1600 y Fr(,)i(TIP5P)876 1568 y Fc(4)911
29725 < 1600 y Fr(,)g(and)f(Exp)r(erimen)n(tal)f(data)g(from)-150
29726 < 1687 y(Gillen)27 b Fs(et)h(al.)248 1655 y Fc(22)312 1687
29727 < y Fr(,)e(and)g(from)f(Mills)853 1655 y Fc(23)920 1687
29728 < y Fr(.)-150 1967 y Fu(at)f(b)r(oth)i(higher)d(and)i(lo)n(w)n(er)e(temp)
29729 < r(eratures,)i(failing)f(to)g(predict)-150 2063 y(the)33
29730 < b(exp)r(erimen)n(tal)f(trend.)51 b(TIP5P)31 b(and)h(SSD)h(b)r(oth)g
29731 < (start)e(o\013)-150 2158 y(lo)n(w)j(at)h(the)h(colder)e(temp)r
29732 < (eratures)g(and)h(tend)g(to)g(di\013use)h(to)r(o)-150
29733 < 2254 y(rapidly)d(at)g(the)g(higher)g(temp)r(eratures.)53
29734 < b(This)34 b(t)n(yp)r(e)f(of)g(trend)-150 2349 y(at)e(the)g(higher)g
29735 < (temp)r(eratures)f(is)h(not)g(surprising)e(in)j(that)f(the)-150
29736 < 2445 y(densities)c(of)h(b)r(oth)g(TIP5P)e(and)h(SSD)h(are)f(lo)n(w)n
29737 < (er)e(than)j(exp)r(eri-)-150 2540 y(men)n(tal)d(w)n(ater)g(at)g(temp)r
29738 < (eratures)g(higher)g(than)h(ro)r(om)e(temp)r(er-)-150
29739 < 2635 y(ature.)34 b(When)20 b(calculating)f(the)h(di\013usion)g(co)r
29740 < (e\016cien)n(ts)f(for)h(SSD)-150 2731 y(at)32 b(exp)r(erimen)n(tal)f
29741 < (densities,)i(the)f(resulting)g(v)-5 b(alues)31 b(fall)h(more)-150
29742 < 2826 y(in)24 b(line)h(with)f(exp)r(erimen)n(t)g(at)g(these)g(temp)r
29743 < (eratures,)g(alb)r(eit)g(not)-150 2922 y(at)g(standard)e(pressure.)35
29744 < b(Results)23 b(under)h(these)g(conditions)f(can)-150
29745 < 3017 y(b)r(e)28 b(found)g(later)f(in)h(this)g(pap)r(er.)-15
29746 < 3294 y Fo(C.)88 b(Structural)32 b(Changes)d(and)h(Characterization)-67
29747 < 3507 y Fu(By)e(starting)f(the)h(sim)n(ulations)f(from)g(the)i
29748 < (crystalline)e(state,)-150 3603 y(the)f(melting)h(transition)e(and)h
29749 < (the)g(ice)g(structure)f(can)h(b)r(e)g(stud-)-150 3698
29750 < y(ied)20 b(along)f(with)h(the)h(liquid)f(phase)g(b)r(eha)n(vior)e(b)r
29751 < (ey)n(ond)i(the)g(melt-)-150 3794 y(ing)27 b(p)r(oin)n(t.)37
29752 < b(T)-7 b(o)26 b(lo)r(cate)h(the)g(melting)g(transition,)g(the)g
29753 < (constan)n(t)-150 3889 y(pressure)22 b(heat)i(capacit)n(y)e(\(C)766
29754 < 3901 y Fn(p)807 3889 y Fu(\))i(w)n(as)e(monitored)h(in)h(eac)n(h)f(of)g
29755 < (the)-150 3984 y(sim)n(ulations.)34 b(In)22 b(the)g(melting)f(sim)n
29756 < (ulations)g(of)h(the)g(1024)d(parti-)-150 4080 y(cle)i(ice)g
29757 < Fj(I)122 4092 y Fi(h)187 4080 y Fu(sim)n(ulations,)g(a)g(large)e(spik)n
29758 < (e)i(in)g(C)1252 4092 y Fn(p)1314 4080 y Fu(o)r(ccurs)f(at)h(245)f(K,)
29759 < -150 4175 y(indicating)33 b(a)g(\014rst)g(order)f(phase)g(transition)h
29760 < (for)g(the)g(melting)-150 4271 y(of)h(these)g(ice)f(crystals.)54
29761 < b(When)35 b(the)f(reaction)f(\014eld)h(is)f(turned)-150
29762 < 4366 y(o\013,)22 b(the)g(melting)f(transition)f(o)r(ccurs)g(at)h(235)f
29763 < (K.)h(These)f(melting)-150 4462 y(transitions)25 b(are)h(considerably)e
29764 < (lo)n(w)n(er)h(than)h(the)h(exp)r(erimen)n(tal)-150 4557
29765 < y(v)-5 b(alue,)31 b(but)g(this)g(is)f(not)g(surprising)f(in)i(that)g
29766 < (SSD)g(is)f(a)g(simple)-150 4653 y(rigid)d(b)r(o)r(dy)h(mo)r(del)g
29767 < (with)g(a)f(\014xed)g(dip)r(ole.)-67 4748 y(Additional)71
29768 < b(analyses)e(for)i(understanding)f(the)h(melt-)-150 4844
29721 > 3598 -166 a 2042 1513 a Fr(FIG.)h(3:)33
29722 > b(Av)n(erage)21 b(di\013usion)h(co)r(e\016cien)n(t)h(o)n(v)n(er)e
29723 > (increasing)i(temp)r(era-)2042 1600 y(ture)c(for)h(SSD,)f(SPC/E)2734
29724 > 1568 y Fc(20)2800 1600 y Fr(,)i(TIP5P)3067 1568 y Fc(4)3103
29725 > 1600 y Fr(,)g(and)e(Exp)r(erimen)n(tal)g(data)h(from)2042
29726 > 1687 y(Gillen)26 b Fs(et)j(al.)2440 1655 y Fc(22)2504
29727 > 1687 y Fr(,)d(and)f(from)h(Mills)3045 1655 y Fc(23)3111
29728 > 1687 y Fr(.)2042 1967 y Fu(listed)20 b(w)n(ater)f(mo)r(dels)g(in)h
29729 > (that)g(no)g(long)f(range)f(corrections)g(w)n(ere)2042
29730 > 2063 y(applied)27 b(in)h(those)f(sim)n(ulations.)3079
29731 > 2032 y Fn(19,20)2125 2158 y Fu(It)33 b(has)e(b)r(een)i(observ)n(ed)e
29732 > (that)i(densities)f(are)f(dep)r(enden)n(t)i(on)2042 2254
29733 > y(the)j(cuto\013)h(radius)e(used)h(for)f(a)h(v)-5 b(ariet)n(y)35
29734 > b(of)h(w)n(ater)f(mo)r(dels)h(in)2042 2349 y(sim)n(ulations)g(b)r(oth)i
29735 > (with)g(and)f(without)h(the)g(use)f(of)g(reaction)2042
29736 > 2445 y(\014eld.)2217 2414 y Fn(12)2323 2445 y Fu(In)f(order)e(to)h
29737 > (address)g(the)h(p)r(ossible)f(a\013ect)g(of)h(cuto\013)2042
29738 > 2540 y(radius,)26 b(sim)n(ulations)g(w)n(ere)h(p)r(erformed)f(with)i(a)
29739 > e(dip)r(olar)h(cuto\013)2042 2635 y(radius)j(of)g(12.0)2571
29740 > 2620 y(\027)2571 2635 y(A)h(to)g(complimen)n(t)f(the)i(previous)d(SSD)j
29741 > (sim)n(u-)2042 2731 y(lations,)e(all)g(p)r(erformed)g(with)h(a)f
29742 > (cuto\013)g(of)g(9.0)3587 2716 y(\027)3587 2731 y(A.)h(All)f(the)h(re-)
29743 > 2042 2826 y(sulting)e(densities)h(o)n(v)n(erlapp)r(ed)e(within)j(error)
29744 > c(and)j(sho)n(w)n(ed)e(no)2042 2922 y(signi\014can)n(t)21
29745 > b(trend)h(in)g(lo)n(w)n(er)f(or)g(higher)g(densities)i(as)e(a)h
29746 > (function)2042 3017 y(of)33 b(cuto\013)h(radius,)h(b)r(oth)f(for)f(sim)
29747 > n(ulations)g(with)h(and)g(without)2042 3113 y(reaction)39
29748 > b(\014eld.)77 b(These)40 b(results)g(indicate)h(that)g(there)f(is)g(no)
29749 > 2042 3208 y(ma)5 b(jor)26 b(b)r(ene\014t)i(in)f(c)n(ho)r(osing)f(a)h
29750 > (longer)f(cuto\013)i(radius)e(in)i(sim)n(u-)2042 3304
29751 > y(lations)23 b(using)h(SSD.)h(This)f(is)g(comforting)f(in)h(that)g(the)
29752 > h(use)f(of)g(a)2042 3399 y(longer)e(cuto\013)h(radius)f(results)h(in)g
29753 > (a)g(near)f(doubling)h(of)g(the)h(time)2042 3495 y(required)i(to)i
29754 > (compute)g(a)f(single)g(tra)5 b(jectory)-7 b(.)2596 3771
29755 > y Fo(B.)88 b(T)-7 b(ransp)r(ort)30 b(Beha)n(vior)2125
29756 > 3984 y Fu(Of)f(imp)r(ortance)f(in)h(these)f(t)n(yp)r(es)h(of)g(studies)
29757 > f(are)g(the)h(trans-)2042 4080 y(p)r(ort)44 b(prop)r(erties)f(of)h(the)
29758 > g(particles)f(and)h(ho)n(w)f(they)h(c)n(hange)2042 4175
29759 > y(when)29 b(altering)f(the)h(en)n(vironmen)n(tal)e(conditions.)41
29760 > b(In)29 b(order)e(to)2042 4271 y(prob)r(e)34 b(transp)r(ort,)i(constan)
29761 > n(t)d(energy)h(sim)n(ulations)g(w)n(ere)g(p)r(er-)2042
29762 > 4366 y(formed)27 b(ab)r(out)g(the)h(a)n(v)n(erage)c(densit)n(y)j(unco)n
29763 > (v)n(ered)f(b)n(y)h(the)h(con-)2042 4462 y(stan)n(t)21
29764 > b(pressure)g(sim)n(ulations.)34 b(Sim)n(ulations)22 b(started)f(with)h
29765 > (ran-)2042 4557 y(domized)32 b(v)n(elo)r(cities)f(and)h(underw)n(en)n
29766 > (t)g(50)f(ps)h(of)h(temp)r(erature)2042 4653 y(scaling)25
29767 > b(and)h(50)f(ps)h(of)g(constan)n(t)f(energy)g(equilibration)g(b)r
29768 > (efore)2042 4748 y(obtaining)32 b(a)h(200)e(ps)i(tra)5
29769 > b(jectory)-7 b(.)52 b(Di\013usion)33 b(constan)n(ts)f(w)n(ere)2042
29770 > 4844 y(calculated)27 b(via)h(ro)r(ot-mean)f(square)f(deviation)i
29771 > (analysis.)37 b(The)2042 4939 y(a)n(v)n(eraged)e(results)i(from)h(5)f
29772 > (sets)h(of)f(these)h(NVE)g(sim)n(ulations)2042 5035 y(is)29
29773 > b(displa)n(y)n(ed)f(in)i(\014gure)f(3,)g(alongside)f(exp)r(erimen)n
29774 > (tal,)h(SPC/E,)2042 5130 y(and)e(TIP5P)f(results.)2735
29775 > 5100 y Fn(4,20,22,23)2125 5226 y Fu(The)38 b(observ)n(ed)e(v)-5
29776 > b(alues)37 b(for)g(the)h(di\013usion)g(constan)n(t)f(p)r(oin)n(t)2042
29777 > 5321 y(out)45 b(one)g(of)g(the)h(strengths)e(of)h(the)h(SSD)g(mo)r
29778 > (del.)90 b(Of)45 b(the)2042 5417 y(three)39 b(exp)r(erimen)n(tal)g(mo)r
29779 > (dels)g(sho)n(wn,)j(the)e(SSD)g(mo)r(del)g(has)p eop
29780 > %%Page: 5 5
29781 > 5 4 bop 4043 -299 a Fu(5)-150 -83 y(the)24 b(most)f(accurate)e
29782 > (depiction)j(of)f(the)h(di\013usion)f(trend)g(seen)g(in)-150
29783 > 12 y(exp)r(erimen)n(t)i(in)h(b)r(oth)f(the)h(sup)r(erco)r(oled)e(and)h
29784 > (normal)f(regimes.)-150 108 y(SPC/E)19 b(do)r(es)h(a)g(resp)r(ectable)f
29785 > (job)i(b)n(y)f(getting)g(similar)f(v)-5 b(alues)20 b(as)-150
29786 > 203 y(SSD)28 b(and)g(exp)r(erimen)n(t)f(around)f(290)g(K;)i(ho)n(w)n
29787 > (ev)n(er,)d(it)j(deviates)-150 299 y(at)c(b)r(oth)i(higher)d(and)i(lo)n
29788 > (w)n(er)e(temp)r(eratures,)i(failing)f(to)g(predict)-150
29789 > 394 y(the)33 b(exp)r(erimen)n(tal)f(trend.)51 b(TIP5P)31
29790 > b(and)h(SSD)h(b)r(oth)g(start)e(o\013)-150 490 y(lo)n(w)j(at)h(the)h
29791 > (colder)e(temp)r(eratures)g(and)h(tend)g(to)g(di\013use)h(to)r(o)-150
29792 > 585 y(rapidly)d(at)g(the)g(higher)g(temp)r(eratures.)53
29793 > b(This)34 b(t)n(yp)r(e)f(of)g(trend)-150 681 y(at)e(the)g(higher)g
29794 > (temp)r(eratures)f(is)h(not)g(surprising)e(in)j(that)f(the)-150
29795 > 776 y(densities)c(of)h(b)r(oth)g(TIP5P)e(and)h(SSD)h(are)f(lo)n(w)n(er)
29796 > e(than)j(exp)r(eri-)-150 872 y(men)n(tal)d(w)n(ater)g(at)g(temp)r
29797 > (eratures)g(higher)g(than)h(ro)r(om)e(temp)r(er-)-150
29798 > 967 y(ature.)34 b(When)20 b(calculating)f(the)h(di\013usion)g(co)r
29799 > (e\016cien)n(ts)f(for)h(SSD)-150 1063 y(at)32 b(exp)r(erimen)n(tal)f
29800 > (densities,)i(the)f(resulting)g(v)-5 b(alues)31 b(fall)h(more)-150
29801 > 1158 y(in)24 b(line)h(with)f(exp)r(erimen)n(t)g(at)g(these)g(temp)r
29802 > (eratures,)g(alb)r(eit)g(not)-150 1254 y(at)g(standard)e(pressure.)35
29803 > b(Results)23 b(under)h(these)g(conditions)f(can)-150
29804 > 1349 y(b)r(e)28 b(found)g(later)f(in)h(this)g(pap)r(er.)-15
29805 > 1625 y Fo(C.)88 b(Structural)32 b(Changes)d(and)h(Characterization)-67
29806 > 1839 y Fu(By)e(starting)f(the)h(sim)n(ulations)f(from)g(the)i
29807 > (crystalline)e(state,)-150 1934 y(the)f(melting)h(transition)e(and)h
29808 > (the)g(ice)g(structure)f(can)h(b)r(e)g(stud-)-150 2030
29809 > y(ied)20 b(along)f(with)h(the)h(liquid)f(phase)g(b)r(eha)n(vior)e(b)r
29810 > (ey)n(ond)i(the)g(melt-)-150 2125 y(ing)27 b(p)r(oin)n(t.)37
29811 > b(T)-7 b(o)26 b(lo)r(cate)h(the)g(melting)g(transition,)g(the)g
29812 > (constan)n(t)-150 2221 y(pressure)22 b(heat)i(capacit)n(y)e(\(C)766
29813 > 2233 y Fn(p)807 2221 y Fu(\))i(w)n(as)e(monitored)h(in)h(eac)n(h)f(of)g
29814 > (the)-150 2316 y(sim)n(ulations.)34 b(In)22 b(the)g(melting)f(sim)n
29815 > (ulations)g(of)h(the)g(1024)d(parti-)-150 2412 y(cle)i(ice)g
29816 > Fj(I)122 2424 y Fi(h)187 2412 y Fu(sim)n(ulations,)g(a)g(large)e(spik)n
29817 > (e)i(in)g(C)1252 2424 y Fn(p)1314 2412 y Fu(o)r(ccurs)f(at)h(245)f(K,)
29818 > -150 2507 y(indicating)33 b(a)g(\014rst)g(order)f(phase)g(transition)h
29819 > (for)g(the)g(melting)-150 2603 y(of)h(these)g(ice)f(crystals.)54
29820 > b(When)35 b(the)f(reaction)f(\014eld)h(is)f(turned)-150
29821 > 2698 y(o\013,)22 b(the)g(melting)f(transition)f(o)r(ccurs)g(at)h(235)f
29822 > (K.)h(These)f(melting)-150 2794 y(transitions)25 b(are)h(considerably)e
29823 > (lo)n(w)n(er)h(than)h(the)h(exp)r(erimen)n(tal)-150 2889
29824 > y(v)-5 b(alue,)31 b(but)g(this)g(is)f(not)g(surprising)f(in)i(that)g
29825 > (SSD)g(is)f(a)g(simple)-150 2985 y(rigid)d(b)r(o)r(dy)h(mo)r(del)g
29826 > (with)g(a)f(\014xed)g(dip)r(ole.)-67 3080 y(Additional)71
29827 > b(analyses)e(for)i(understanding)f(the)h(melt-)-150 3175
29828   y(ing)48 b(phase-transition)e(pro)r(cess)h(w)n(ere)g(p)r(erformed)h
29829 < (via)g(t)n(w)n(o-)-150 4939 y(dimensional)26 b(structure)h(and)f(dip)r
29830 < (ole)h(angle)f(correlations.)34 b(Ex-)-150 5035 y(pressions)26
29831 < b(for)h(the)h(correlations)e(are)g(as)h(follo)n(ws:)2059
29832 < 1788 y @beginspecial 0 @llx 0 @lly 965 @urx 939 @ury
29833 < 2409 @rwi @setspecial
29829 > (via)g(t)n(w)n(o-)-150 3271 y(dimensional)26 b(structure)h(and)f(dip)r
29830 > (ole)h(angle)f(correlations.)34 b(Ex-)-150 3366 y(pressions)26
29831 > b(for)h(the)h(correlations)e(are)g(as)h(follo)n(ws:)-67
29832 > 3665 y Fj(g)-27 3677 y Fn(AB)72 3665 y Fu(\()p Fj(r)n(;)14
29833 > b Fu(cos)g Fj(\022)r Fu(\))23 b(=)172 3784 y Fj(V)p 87
29834 > 3821 238 4 v 87 3897 a(N)154 3909 y Fn(A)207 3897 y Fj(N)274
29835 > 3909 y Fn(B)334 3840 y Ff(h)366 3761 y Fg(X)367 3939
29836 > y Fi(i)p Ft(2)p Fn(A)501 3761 y Fg(X)500 3939 y Fi(j)s
29837 > Ft(2)p Fn(B)636 3840 y Fj(\016)s Fu(\(cos)13 b Fj(\022)21
29838 > b Ff(\000)d Fu(cos)13 b Fj(\022)1140 3852 y Fi(ij)1198
29839 > 3840 y Fu(\))p Fj(\016)s Fu(\()p Fj(r)22 b Ff(\000)c(j)p
29840 > Fh(r)1506 3852 y Fi(ij)1565 3840 y Ff(j)p Fu(\))p Ff(i)28
29841 > b Fj(;)83 b Fu(\(8\))-67 4225 y Fj(g)-27 4237 y Fn(AB)72
29842 > 4225 y Fu(\()p Fj(r)n(;)14 b Fu(cos)g Fj(!)s Fu(\))23
29843 > b(=)146 4344 y Fj(V)p 61 4381 V 61 4457 a(N)128 4469
29844 > y Fn(A)180 4457 y Fj(N)247 4469 y Fn(B)308 4400 y Ff(h)340
29845 > 4321 y Fg(X)341 4499 y Fi(i)p Ft(2)p Fn(A)475 4321 y
29846 > Fg(X)474 4499 y Fi(j)s Ft(2)p Fn(B)610 4400 y Fj(\016)s
29847 > Fu(\(cos)13 b Fj(!)21 b Ff(\000)d Fu(cos)13 b Fj(!)1140
29848 > 4412 y Fi(ij)1198 4400 y Fu(\))p Fj(\016)s Fu(\()p Fj(r)22
29849 > b Ff(\000)c(j)p Fh(r)1506 4412 y Fi(ij)1565 4400 y Ff(j)p
29850 > Fu(\))p Ff(i)28 b Fj(;)83 b Fu(\(9\))-150 4668 y(where)19
29851 > b Fj(\022)j Fu(and)d Fj(!)j Fu(refer)c(to)i(the)f(angles)g(sho)n(wn)f
29852 > (in)i(the)g(ab)r(o)n(v)n(e)e(illus-)-150 4763 y(tration.)36
29853 > b(By)26 b(binning)g(o)n(v)n(er)f(b)r(oth)i(distance)f(and)g(the)h
29854 > (cosine)e(of)-150 4858 y(the)31 b(desired)g(angle)f(b)r(et)n(w)n(een)h
29855 > (the)h(t)n(w)n(o)e(dip)r(oles,)i(the)g(g\()p Fm(r)9 b
29856 > Fu(\))31 b(can)-150 4954 y(b)r(e)38 b(dissected)f(to)f(determine)i(the)
29857 > f(common)g(dip)r(ole)g(arrange-)-150 5049 y(men)n(ts)29
29858 > b(that)g(constitute)g(the)h(p)r(eaks)e(and)h(troughs.)40
29859 > b(F)-7 b(rames)28 b(A)-150 5145 y(and)d(B)h(of)f(\014gure)g(4)g(sho)n
29860 > (w)g(a)g(relativ)n(ely)f(crystalline)h(state)g(of)h(an)-150
29861 > 5240 y(ice)36 b Fj(I)19 5252 y Fi(c)89 5240 y Fu(sim)n(ulation.)62
29862 > b(The)36 b(\014rst)g(p)r(eak)g(of)g(the)g(g\()p Fm(r)9
29863 > b Fu(\))36 b(primarily)-150 5336 y(consists)23 b(of)h(the)g(preferred)f
29864 > (h)n(ydrogen)f(b)r(onding)i(arrangemen)n(ts)-150 5431
29865 > y(as)i(dictated)i(b)n(y)e(the)i(tetrahedral)e(stic)n(ky)g(p)r(oten)n
29866 > (tial,)h(one)g(p)r(eak)2059 1788 y @beginspecial 0 @llx
29867 > 0 @lly 965 @urx 939 @ury 2409 @rwi @setspecial
29868   %%BeginDocument: fullContours.eps
29869   %!PS-Adobe-3.1 EPSF-3.0
29870   %%Title: fullContours.eps
# Line 73319 | Line 64952 | userdict /ai9_skip_data get exec
64952   %AI9_PrivateDataEnd
64953  
64954   %%EndDocument
64955 < @endspecial 2042 1958 a Fr(FIG.)g(5:)39 b(Con)n(tour)27
64955 > @endspecial 2042 1958 a Fr(FIG.)g(4:)39 b(Con)n(tour)27
64956   b(plots)h(of)g(2D)g(angular)g(g\()p Fq(r)r Fr(\)'s)g(for)g(512)g(SSD)e
64957   (sys-)2042 2045 y(tems)h(at)h(100)h(K)e(\(A)g(&)h(B\))g(and)f(300)i(K)e
64958   (\(C)h(&)g(D\).)f(Con)n(tour)i(colors)2042 2132 y(are)i(in)n(v)n(erted)
# Line 79457 | Line 71090 | userdict /ai9_skip_data get exec
71090   %AI9_PrivateDataEnd
71091  
71092   %%EndDocument
71093 < @endspecial 2042 3428 a(FIG.)31 b(6:)46 b(Tw)n(o)32
71093 > @endspecial 2042 3428 a(FIG.)31 b(5:)46 b(Tw)n(o)32
71094   b(dimensional)f(illustration)i(of)f(the)f(angles)h(in)n(v)n(olv)n(ed)
71095   2042 3515 y(in)25 b(the)h(correlations)h(observ)n(ed)f(in)f(\014gure)h
71096 < (5.)2125 3999 y Fj(g)2165 4011 y Fn(AB)2264 3999 y Fu(\()p
71097 < Fj(r)n(;)14 b Fu(cos)f Fj(\022)r Fu(\))24 b(=)2364 4118
71098 < y Fj(V)p 2278 4155 238 4 v 2278 4231 a(N)2345 4243 y
71099 < Fn(A)2398 4231 y Fj(N)2465 4243 y Fn(B)2526 4174 y Ff(h)2558
71100 < 4095 y Fg(X)2559 4273 y Fi(i)p Ft(2)p Fn(A)2693 4095
71101 < y Fg(X)2692 4273 y Fi(j)s Ft(2)p Fn(B)2827 4174 y Fj(\016)s
71102 < Fu(\(cos)14 b Fj(\022)20 b Ff(\000)f Fu(cos)13 b Fj(\022)3332
71103 < 4186 y Fi(ij)3390 4174 y Fu(\))p Fj(\016)s Fu(\()p Fj(r)22
71104 < b Ff(\000)c(j)p Fh(r)3698 4186 y Fi(ij)3757 4174 y Ff(j)p
71105 < Fu(\))p Ff(i)28 b Fj(;)83 b Fu(\(8\))2125 4559 y Fj(g)2165
71106 < 4571 y Fn(AB)2264 4559 y Fu(\()p Fj(r)n(;)14 b Fu(cos)f
71107 < Fj(!)s Fu(\))23 b(=)2338 4677 y Fj(V)p 2252 4714 V 2252
71108 < 4790 a(N)2319 4802 y Fn(A)2372 4790 y Fj(N)2439 4802
71109 < y Fn(B)2499 4733 y Ff(h)2531 4655 y Fg(X)2532 4833 y
71110 < Fi(i)p Ft(2)p Fn(A)2667 4655 y Fg(X)2666 4833 y Fi(j)s
71111 < Ft(2)p Fn(B)2801 4733 y Fj(\016)s Fu(\(cos)14 b Fj(!)21
71112 < b Ff(\000)d Fu(cos)13 b Fj(!)3332 4745 y Fi(ij)3390 4733
71113 < y Fu(\))p Fj(\016)s Fu(\()p Fj(r)22 b Ff(\000)c(j)p Fh(r)3698
71114 < 4745 y Fi(ij)3757 4733 y Ff(j)p Fu(\))p Ff(i)28 b Fj(;)83
71115 < b Fu(\(9\))2042 5001 y(where)19 b Fj(\022)i Fu(and)f
71116 < Fj(!)i Fu(refer)c(to)h(the)h(angles)e(sho)n(wn)h(in)h(the)f(ab)r(o)n(v)
71117 < n(e)f(illus-)2042 5097 y(tration.)36 b(By)26 b(binning)g(o)n(v)n(er)f
71118 < (b)r(oth)i(distance)f(and)g(the)h(cosine)e(of)2042 5192
71119 < y(the)31 b(desired)g(angle)f(b)r(et)n(w)n(een)h(the)h(t)n(w)n(o)e(dip)r
71120 < (oles,)i(the)f(g\()p Fm(r)9 b Fu(\))32 b(can)2042 5288
71121 < y(b)r(e)37 b(dissected)g(to)g(determine)g(the)h(common)f(dip)r(ole)g
79489 < (arrange-)2042 5383 y(men)n(ts)29 b(that)g(constitute)g(the)h(p)r(eaks)
79490 < e(and)h(troughs.)40 b(F)-7 b(rames)28 b(A)2042 5479 y(and)d(B)h(of)f
79491 < (\014gure)g(5)g(sho)n(w)g(a)g(relativ)n(ely)f(crystalline)h(state)g(of)
79492 < g(an)p eop
71096 > (4.)2042 3796 y Fu(for)k(the)i(donating)e(and)h(the)g(other)f(for)h
71097 > (the)g(accepting)g(h)n(ydro-)2042 3891 y(gen)39 b(b)r(onds.)73
71098 > b(Due)40 b(to)g(the)g(high)f(degree)g(of)h(crystallinit)n(y)e(of)2042
71099 > 3987 y(the)e(sample,)i(the)f(second)e(and)h(third)g(solv)-5
71100 > b(ation)35 b(shells)h(sho)n(w)2042 4082 y(a)30 b(rep)r(eated)h(p)r(eak)
71101 > f(arrangemen)n(t)f(whic)n(h)h(deca)n(ys)g(at)h(distances)2042
71102 > 4178 y(around)19 b(the)j(fourth)e(solv)-5 b(ation)20
71103 > b(shell,)i(near)e(the)h(imp)r(osed)g(cuto\013)2042 4273
71104 > y(for)27 b(the)h(Lennard-Jones)e(and)i(dip)r(ole-dip)r(ole)g(in)n
71105 > (teractions.)36 b(In)2042 4368 y(the)19 b(higher)g(temp)r(erature)f
71106 > (sim)n(ulation)h(sho)n(wn)f(in)i(frames)e(C)h(and)2042
71107 > 4464 y(D,)35 b(the)g(rep)r(eated)f(p)r(eak)g(features)g(are)g
71108 > (signi\014can)n(tly)g(blurred.)2042 4559 y(The)21 b(\014rst)g(solv)-5
71109 > b(ation)20 b(shell)h(still)h(sho)n(ws)e(the)h(strong)f(e\013ect)i(of)f
71110 > (the)2042 4655 y(stic)n(ky-p)r(oten)n(tial,)j(although)f(it)h(co)n(v)n
71111 > (ers)e(a)i(larger)e(area,)h(extend-)2042 4750 y(ing)33
71112 > b(to)g(include)h(a)f(fraction)f(of)i(aligned)e(dip)r(ole)i(p)r(eaks)f
71113 > (within)2042 4846 y(the)d(\014rst)g(solv)-5 b(ation)30
71114 > b(shell.)44 b(The)31 b(latter)f(p)r(eaks)f(lose)h(de\014nition)2042
71115 > 4941 y(as)f(thermal)g(motion)g(and)h(the)g(comp)r(eting)g(dip)r(ole)f
71116 > (force)g(o)n(v)n(er-)2042 5037 y(comes)23 b(the)h(stic)n(ky)g(p)r(oten)
71117 > n(tial's)f(tigh)n(t)h(tetrahedral)f(structuring)2042
71118 > 5132 y(of)k(the)h(\015uid.)2125 5228 y(This)k(complex)g(in)n(terpla)n
71119 > (y)f(b)r(et)n(w)n(een)h(dip)r(ole)h(and)f(stic)n(ky)f(in-)2042
71120 > 5323 y(teractions)37 b(w)n(as)g(remark)n(ed)f(up)r(on)i(as)f(a)h(p)r
71121 > (ossible)f(reason)g(for)p eop
71122   %%Page: 6 6
71123 < 6 5 bop 4043 -299 a Fu(6)-150 -83 y(ice)36 b Fj(I)19
79495 < -71 y Fi(c)89 -83 y Fu(sim)n(ulation.)62 b(The)36 b(\014rst)g(p)r(eak)g
79496 < (of)g(the)g(g\()p Fm(r)9 b Fu(\))36 b(primarily)-150
79497 < 12 y(consists)23 b(of)h(the)g(preferred)f(h)n(ydrogen)f(b)r(onding)i
79498 < (arrangemen)n(ts)-150 108 y(as)i(dictated)i(b)n(y)e(the)i(tetrahedral)e
79499 < (stic)n(ky)g(p)r(oten)n(tial,)h(one)g(p)r(eak)-150 203
79500 < y(for)j(the)i(donating)e(and)h(the)g(other)g(for)f(the)i(accepting)e(h)
79501 < n(ydro-)-150 299 y(gen)39 b(b)r(onds.)73 b(Due)40 b(to)g(the)g(high)g
79502 < (degree)e(of)i(crystallinit)n(y)e(of)-150 394 y(the)e(sample,)i(the)f
79503 < (second)e(and)h(third)g(solv)-5 b(ation)36 b(shells)f(sho)n(w)-150
79504 < 490 y(a)30 b(rep)r(eated)h(p)r(eak)f(arrangemen)n(t)f(whic)n(h)i(deca)n
79505 < (ys)e(at)i(distances)-150 585 y(around)20 b(the)h(fourth)g(solv)-5
79506 < b(ation)19 b(shell,)j(near)e(the)h(imp)r(osed)g(cuto\013)-150
79507 < 681 y(for)27 b(the)i(Lennard-Jones)c(and)j(dip)r(ole-dip)r(ole)g(in)n
79508 < (teractions.)36 b(In)-150 776 y(the)20 b(higher)e(temp)r(erature)h(sim)
79509 < n(ulation)f(sho)n(wn)h(in)g(frames)f(C)i(and)-150 872
79510 < y(D,)35 b(the)g(rep)r(eated)f(p)r(eak)h(features)f(are)f(signi\014can)n
79511 < (tly)h(blurred.)-150 967 y(The)21 b(\014rst)g(solv)-5
79512 < b(ation)20 b(shell)h(still)h(sho)n(ws)e(the)h(strong)f(e\013ect)i(of)f
79513 < (the)-150 1063 y(stic)n(ky-p)r(oten)n(tial,)j(although)f(it)i(co)n(v)n
79514 < (ers)c(a)j(larger)e(area,)i(extend-)-150 1158 y(ing)33
79515 < b(to)g(include)h(a)f(fraction)g(of)g(aligned)f(dip)r(ole)i(p)r(eaks)f
79516 < (within)-150 1254 y(the)e(\014rst)f(solv)-5 b(ation)29
79517 < b(shell.)45 b(The)30 b(latter)g(p)r(eaks)g(lose)f(de\014nition)-150
79518 < 1349 y(as)g(thermal)g(motion)h(and)f(the)h(comp)r(eting)g(dip)r(ole)g
79519 < (force)f(o)n(v)n(er-)-150 1445 y(comes)23 b(the)i(stic)n(ky)e(p)r(oten)
79520 < n(tial's)g(tigh)n(t)h(tetrahedral)f(structuring)-150
79521 < 1540 y(of)28 b(the)g(\015uid.)-67 1636 y(This)k(complex)g(in)n(terpla)n
79522 < (y)f(b)r(et)n(w)n(een)h(dip)r(ole)h(and)f(stic)n(ky)f(in-)-150
79523 < 1731 y(teractions)37 b(w)n(as)g(remark)n(ed)f(up)r(on)i(as)f(a)h(p)r
79524 < (ossible)g(reason)e(for)-150 1826 y(the)25 b(split)f(second)g(p)r(eak)g
71123 > 6 5 bop 4043 -299 a Fu(6)-150 -83 y(the)25 b(split)f(second)g(p)r(eak)g
71124   (in)g(the)h(o)n(xygen-o)n(xygen)c(g\()p Fm(r)9 b Fu(\).)1592
71125 < 1796 y Fn(5)1654 1826 y Fu(A)n(t)24 b(lo)n(w)-150 1922
71126 < y(temp)r(eratures,)h(the)h(second)f(solv)-5 b(ation)24
71127 < b(shell)h(p)r(eak)g(app)r(ears)g(to)-150 2017 y(ha)n(v)n(e)k(t)n(w)n(o)
71128 < h(distinct)h(parts)f(that)g(blend)h(together)e(to)i(form)f(one)-150
71129 < 2113 y(observ)-5 b(able)22 b(p)r(eak.)36 b(A)n(t)23 b(higher)g(temp)r
71130 < (eratures,)h(this)g(split)g(c)n(har-)-150 2208 y(acter)k(alters)h(to)g
71131 < (sho)n(w)f(the)i(leading)e(4)1101 2193 y(\027)1101 2208
71132 < y(A)i(p)r(eak)f(dominated)g(b)n(y)-150 2304 y(equatorial)i(an)n
71133 < (ti-parallel)h(dip)r(ole)h(orien)n(tations,)g(and)g(there)g(is)-150
71134 < 2399 y(tigh)n(tly)k(bunc)n(hed)h(group)f(of)g(axially)f(arranged)g(dip)
71135 < r(oles)h(that)-150 2495 y(most)29 b(lik)n(ely)f(consist)h(of)f(the)i
71136 < (smaller)e(fraction)g(aligned)g(dip)r(ole)-150 2590 y(pairs.)36
71137 < b(The)27 b(trailing)f(part)g(of)h(the)g(split)h(p)r(eak)e(at)h(5)1513
71138 < 2575 y(\027)1513 2590 y(A)g(is)g(domi-)-150 2686 y(nated)f(b)n(y)g
71139 < (aligned)g(dip)r(oles)g(that)g(range)f(primarily)g(within)i(the)-150
71140 < 2781 y(axial)c(to)h(the)h(c)n(hief)f(h)n(ydrogen)e(b)r(ond)j
71141 < (arrangemen)n(ts)c(similar)j(to)-150 2877 y(those)g(seen)g(in)h(the)f
71142 < (\014rst)h(solv)-5 b(ation)23 b(shell.)36 b(This)24 b(evidence)g(indi-)
71143 < -150 2972 y(cates)h(that)g(the)h(dip)r(ole)f(pair)g(in)n(teraction)f(b)
71144 < r(egins)h(to)h(dominate)-150 3068 y(outside)31 b(of)g(the)g(range)f(of)
71145 < h(the)g(dip)r(olar)g(repulsion)f(term,)i(with)-150 3163
71146 < y(the)e(primary)f(energetically)f(fa)n(v)n(orable)g(dip)r(ole)i
71147 < (arrangemen)n(ts)-150 3259 y(p)r(opulating)j(the)h(region)e
71148 < (immediately)i(outside)g(of)f(it's)h(range)-150 3354
71149 < y(\(around)24 b(4)228 3339 y(\027)228 3354 y(A\),)i(and)f(arrangemen)n
71150 < (ts)e(that)j(seek)e(to)h(ideally)g(sat-)-150 3450 y(isfy)33
71151 < b(b)r(oth)g(the)g(stic)n(ky)f(and)g(dip)r(ole)h(forces)f(lo)r(cate)g
71152 < (themselv)n(es)-150 3545 y(just)c(b)r(ey)n(ond)f(this)h(region)f
71153 < (\(around)g(5)1097 3530 y(\027)1097 3545 y(A\).)-67 3641
71154 < y(F)-7 b(rom)25 b(these)h(\014ndings,)f(the)h(split)g(second)f(p)r(eak)
71155 < g(is)g(primarily)-150 3736 y(the)35 b(pro)r(duct)g(of)f(the)i(dip)r
71156 < (olar)e(repulsion)g(term)g(of)h(the)g(stic)n(ky)-150
71157 < 3831 y(p)r(oten)n(tial.)56 b(In)34 b(fact,)h(the)g(leading)e(of)h(the)g
71158 < (t)n(w)n(o)f(p)r(eaks)h(can)f(b)r(e)-150 3927 y(pushed)25
71159 < b(out)h(and)f(merged)f(with)i(the)g(outer)e(split)i(p)r(eak)f(just)h(b)
71160 < n(y)-150 4022 y(extending)h(the)g(switc)n(hing)f(function)i(cuto\013)f
71161 < (\()p Fj(s)1366 3992 y Ft(0)1389 4022 y Fu(\()p Fj(r)1458
71162 < 4034 y Fi(ij)1517 4022 y Fu(\)\))h(from)e(its)-150 4127
71163 < y(normal)k(4.0)272 4112 y(\027)272 4127 y(A)h(to)g(v)-5
71164 < b(alues)31 b(of)g(4.5)f(or)g(ev)n(en)g(5)1326 4112 y(\027)1326
79566 < 4127 y(A.)h(This)g(t)n(yp)r(e)g(of)-150 4222 y(correction)f(is)i(not)g
71125 > -113 y Fn(5)1654 -83 y Fu(A)n(t)24 b(lo)n(w)-150 12 y(temp)r(eratures,)
71126 > h(the)h(second)f(solv)-5 b(ation)24 b(shell)h(p)r(eak)g(app)r(ears)g
71127 > (to)-150 108 y(ha)n(v)n(e)k(t)n(w)n(o)h(distinct)h(parts)f(that)g
71128 > (blend)h(together)e(to)i(form)f(one)-150 203 y(observ)-5
71129 > b(able)22 b(p)r(eak.)36 b(A)n(t)23 b(higher)g(temp)r(eratures,)h(this)g
71130 > (split)g(c)n(har-)-150 299 y(acter)k(alters)h(to)g(sho)n(w)f(the)i
71131 > (leading)e(4)1101 284 y(\027)1101 299 y(A)i(p)r(eak)f(dominated)g(b)n
71132 > (y)-150 394 y(equatorial)i(an)n(ti-parallel)h(dip)r(ole)h(orien)n
71133 > (tations,)g(and)g(there)g(is)-150 490 y(tigh)n(tly)k(bunc)n(hed)h
71134 > (group)f(of)g(axially)f(arranged)g(dip)r(oles)h(that)-150
71135 > 585 y(most)29 b(lik)n(ely)f(consist)h(of)f(the)i(smaller)e(fraction)g
71136 > (aligned)g(dip)r(ole)-150 681 y(pairs.)36 b(The)27 b(trailing)f(part)g
71137 > (of)h(the)g(split)h(p)r(eak)e(at)h(5)1513 666 y(\027)1513
71138 > 681 y(A)g(is)g(domi-)-150 776 y(nated)f(b)n(y)g(aligned)g(dip)r(oles)g
71139 > (that)g(range)f(primarily)g(within)i(the)-150 872 y(axial)c(to)h(the)h
71140 > (c)n(hief)f(h)n(ydrogen)e(b)r(ond)j(arrangemen)n(ts)c(similar)j(to)-150
71141 > 967 y(those)g(seen)g(in)h(the)f(\014rst)h(solv)-5 b(ation)23
71142 > b(shell.)36 b(This)24 b(evidence)g(indi-)-150 1063 y(cates)h(that)g
71143 > (the)h(dip)r(ole)f(pair)g(in)n(teraction)f(b)r(egins)h(to)h(dominate)
71144 > -150 1158 y(outside)31 b(of)g(the)g(range)f(of)h(the)g(dip)r(olar)g
71145 > (repulsion)f(term,)i(with)-150 1254 y(the)e(primary)f(energetically)f
71146 > (fa)n(v)n(orable)g(dip)r(ole)i(arrangemen)n(ts)-150 1349
71147 > y(p)r(opulating)j(the)h(region)e(immediately)i(outside)g(of)f(it's)h
71148 > (range)-150 1445 y(\(around)24 b(4)228 1430 y(\027)228
71149 > 1445 y(A\),)i(and)f(arrangemen)n(ts)e(that)j(seek)e(to)h(ideally)g
71150 > (sat-)-150 1540 y(isfy)33 b(b)r(oth)g(the)g(stic)n(ky)f(and)g(dip)r
71151 > (ole)h(forces)f(lo)r(cate)g(themselv)n(es)-150 1636 y(just)c(b)r(ey)n
71152 > (ond)f(this)h(region)f(\(around)g(5)1097 1621 y(\027)1097
71153 > 1636 y(A\).)-67 1731 y(F)-7 b(rom)25 b(these)h(\014ndings,)f(the)h
71154 > (split)g(second)f(p)r(eak)g(is)g(primarily)-150 1826
71155 > y(the)35 b(pro)r(duct)g(of)f(the)i(dip)r(olar)e(repulsion)g(term)g(of)h
71156 > (the)g(stic)n(ky)-150 1922 y(p)r(oten)n(tial.)56 b(In)34
71157 > b(fact,)h(the)g(leading)e(of)h(the)g(t)n(w)n(o)f(p)r(eaks)h(can)f(b)r
71158 > (e)-150 2017 y(pushed)25 b(out)h(and)f(merged)f(with)i(the)g(outer)e
71159 > (split)i(p)r(eak)f(just)h(b)n(y)-150 2113 y(extending)h(the)g(switc)n
71160 > (hing)f(function)i(cuto\013)f(\()p Fj(s)1366 2083 y Ft(0)1389
71161 > 2113 y Fu(\()p Fj(r)1458 2125 y Fi(ij)1517 2113 y Fu(\)\))h(from)e(its)
71162 > -150 2217 y(normal)k(4.0)272 2202 y(\027)272 2217 y(A)h(to)g(v)-5
71163 > b(alues)31 b(of)g(4.5)f(or)g(ev)n(en)g(5)1326 2202 y(\027)1326
71164 > 2217 y(A.)h(This)g(t)n(yp)r(e)g(of)-150 2313 y(correction)f(is)i(not)g
71165   (recommended)f(for)g(impro)n(ving)g(the)h(liquid)-150
71166 < 4318 y(structure,)c(b)r(ecause)f(the)h(second)g(solv)-5
71167 < b(ation)27 b(shell)h(will)g(still)g(b)r(e)-150 4413 y(shifted)g(to)r(o)
71166 > 2408 y(structure,)c(b)r(ecause)f(the)h(second)g(solv)-5
71167 > b(ation)27 b(shell)h(will)g(still)g(b)r(e)-150 2504 y(shifted)g(to)r(o)
71168   e(far)g(out.)37 b(In)27 b(addition,)g(this)g(w)n(ould)g(ha)n(v)n(e)e
71169 < (an)i(ev)n(en)-150 4509 y(more)i(detrimen)n(tal)h(e\013ect)g(on)g(the)h
71170 < (system)e(densities,)i(leading)-150 4604 y(to)40 b(a)g(liquid)h(with)f
71169 > (an)i(ev)n(en)-150 2599 y(more)i(detrimen)n(tal)h(e\013ect)g(on)g(the)h
71170 > (system)e(densities,)i(leading)-150 2695 y(to)40 b(a)g(liquid)h(with)f
71171   (a)g(more)g(op)r(en)g(structure)g(and)g(a)g(densit)n(y)-150
71172 < 4700 y(considerably)24 b(lo)n(w)n(er)f(than)i(the)h(normal)e(SSD)h(b)r
71173 < (eha)n(vior)f(sho)n(wn)-150 4795 y(previously)-7 b(.)47
71172 > 2790 y(considerably)24 b(lo)n(w)n(er)f(than)i(the)h(normal)e(SSD)h(b)r
71173 > (eha)n(vior)f(sho)n(wn)-150 2886 y(previously)-7 b(.)47
71174   b(A)31 b(b)r(etter)h(correction)e(w)n(ould)h(b)r(e)g(to)g(include)h
71175 < (the)-150 4891 y(quadrup)r(ole-quadrup)r(ole)e(in)n(teractions)h(for)h
71176 < (the)g(w)n(ater)f(parti-)-150 4986 y(cles)h(outside)h(of)f(the)h
71175 > (the)-150 2981 y(quadrup)r(ole-quadrup)r(ole)e(in)n(teractions)h(for)h
71176 > (the)g(w)n(ater)f(parti-)-150 3077 y(cles)h(outside)h(of)f(the)h
71177   (\014rst)g(solv)-5 b(ation)31 b(shell,)j(but)f(this)g(reduces)-150
71178 < 5082 y(the)g(simplicit)n(y)f(and)h(sp)r(eed)g(adv)-5
71178 > 3172 y(the)g(simplicit)n(y)f(and)h(sp)r(eed)g(adv)-5
71179   b(an)n(tage)30 b(of)j(SSD,)g(so)f(it)h(is)f(not)-150
71180 < 5177 y(the)c(most)f(desirable)g(path)h(to)f(tak)n(e.)2070
71181 < -31 y Fr(T)-6 b(ABLE)26 b(I:)g(P)n(arameters)g(for)g(the)f(original)j
71182 < (and)d(adjusted)h(mo)r(dels)p 2228 12 1644 4 v 2270 94
71183 < a(P)n(arameters)260 b(SSD)3054 63 y Fl(y)3222 94 y Fr(SSD/E)84
71184 < b(SSD/RF)p 2228 124 V 2322 205 a Fq(\033)28 b Fr(\()2424
71185 < 192 y(\027)2424 205 y(A\))398 b(3.051)169 b(3.035)k(3.019)2322
71186 < 292 y Fq(\017)25 b Fr(\(k)n(cal/mol\))178 b(0.152)169
71187 < b(0.152)k(0.152)2322 379 y Fq(\026)26 b Fr(\(D\))417
71188 < b(2.35)187 b(2.418)173 b(2.480)2322 467 y Fq(\027)2360
71189 < 475 y Fc(0)2420 467 y Fr(\(k)n(cal/mol\))117 b(3.7284)169
71190 < b(3.90)211 b(3.90)2322 558 y Fq(r)2357 567 y Fp(l)2406
71191 < 558 y Fr(\()2436 545 y(\027)2436 558 y(A\))406 b(2.75)206
71192 < b(2.40)211 b(2.40)2322 649 y Fq(r)2357 657 y Fp(u)2423
71193 < 649 y Fr(\()2453 636 y(\027)2453 649 y(A\))389 b(3.35)206
71194 < b(3.80)211 b(3.80)2322 736 y Fq(\027)2365 705 y Fl(0)2360
71195 < 749 y Fc(0)2420 736 y Fr(\(k)n(cal/mol\))117 b(3.7284)169
71196 < b(3.90)211 b(3.90)2322 828 y Fq(r)2359 796 y Fl(0)2357
71197 < 843 y Fp(l)2406 828 y Fr(\()2436 815 y(\027)2436 828
71198 < y(A\))406 b(2.75)206 b(2.75)211 b(2.75)2322 919 y Fq(r)2359
71199 < 887 y Fl(0)2357 932 y Fp(u)2423 919 y Fr(\()2453 906
71200 < y(\027)2453 919 y(A\))389 b(4.00)206 b(3.35)211 b(3.35)2245
71201 < 1020 y Fl(y)2303 1051 y Fr(ref.)35 b(5)2158 1326 y Fo(D.)87
71202 < b(Adjusted)30 b(P)n(oten)n(tials:)40 b(SSD/E)29 b(and)h(SSD/RF)2125
71203 < 1540 y Fu(The)i(prop)r(ensit)n(y)f(of)h(SSD)h(to)f(adopt)g(lo)n(w)n(er)
71204 < f(than)h(exp)r(ected)2042 1636 y(densities)21 b(under)g(v)-5
71205 < b(arying)21 b(conditions)f(is)i(troubling,)g(esp)r(ecially)2042
71206 < 1731 y(at)32 b(higher)f(temp)r(eratures.)50 b(In)32 b(order)f(to)h
71207 < (correct)f(this)h(b)r(eha)n(v-)2042 1826 y(ior,)25 b(it's)h(necessary)d
71208 < (to)j(adjust)g(the)f(force)g(\014eld)h(parameters)e(for)2042
71209 < 1922 y(the)g(primary)e(in)n(termolecular)g(in)n(teractions.)35
71210 < b(In)23 b(undergoing)g(a)2042 2017 y(reparameterization,)30
71211 < b(it)j(is)f(imp)r(ortan)n(t)f(not)h(to)g(fo)r(cus)g(on)g(just)2042
71212 < 2113 y(one)23 b(prop)r(ert)n(y)f(and)h(neglect)g(the)g(other)g(imp)r
71213 < (ortan)n(t)g(prop)r(erties.)2042 2208 y(In)38 b(this)h(case,)h(it)f(w)n
71214 < (ould)f(b)r(e)g(ideal)g(to)h(correct)d(the)j(densities)2042
71215 < 2304 y(while)28 b(main)n(taining)e(the)i(accurate)f(transp)r(ort)f
71216 < (prop)r(erties.)2125 2399 y(The)c(p)r(ossible)h(parameters)d(for)i
71217 < (tuning)h(include)g(the)g Fj(\033)j Fu(and)c Fj(\017)2042
71218 < 2495 y Fu(Lennard-Jones)28 b(parameters,)h(the)h(dip)r(ole)g(strength)g
71219 < (\()p Fj(\026)p Fu(\),)h(and)2042 2590 y(the)20 b(stic)n(ky)f
71220 < (attractiv)n(e)g(and)g(dip)r(ole)h(repulsiv)n(e)f(terms)g(with)h(their)
71221 < 2042 2686 y(resp)r(ectiv)n(e)31 b(cuto\013s.)51 b(T)-7
71222 < b(o)31 b(alter)h(the)g(attractiv)n(e)f(and)h(repulsiv)n(e)2042
71223 < 2781 y(terms)h(of)g(the)h(stic)n(ky)f(p)r(oten)n(tial)g(indep)r(enden)n
71224 < (tly)-7 b(,)36 b(it)e(is)f(neces-)2042 2877 y(sary)26
71225 < b(to)i(separate)e(the)i(terms)f(as)g(follo)n(ws:)2150
71226 < 3076 y Fj(u)2198 3036 y Fi(sp)2198 3099 y(ij)2267 3076
71227 < y Fu(\()p Fh(r)2338 3088 y Fi(ij)2398 3076 y Fj(;)14
71228 < b Fh(\012)2503 3088 y Fi(i)2531 3076 y Fj(;)g Fh(\012)2637
71229 < 3088 y Fi(j)2672 3076 y Fu(\))23 b(=)2825 3020 y Fj(\027)2866
71230 < 3032 y Fn(0)p 2825 3057 79 4 v 2843 3133 a Fu(2)2913
71231 < 3076 y([)p Fj(s)p Fu(\()p Fj(r)3044 3088 y Fi(ij)3103
71232 < 3076 y Fu(\))p Fj(w)r Fu(\()p Fh(r)3267 3088 y Fi(ij)3327
71233 < 3076 y Fj(;)14 b Fh(\012)3433 3088 y Fi(i)3461 3076 y
71234 < Fj(;)g Fh(\012)3567 3088 y Fi(j)3602 3076 y Fu(\)])2833
71235 < 3285 y(+)2926 3229 y Fj(\027)2972 3199 y Ft(0)2967 3249
71236 < y Fn(0)p 2926 3266 V 2945 3342 a Fu(2)3015 3285 y([)p
71237 < Fj(s)3077 3251 y Ft(0)3100 3285 y Fu(\()p Fj(r)3169 3297
71238 < y Fi(ij)3228 3285 y Fu(\))p Fj(w)3321 3251 y Ft(0)3345
71239 < 3285 y Fu(\()p Fh(r)3416 3297 y Fi(ij)3475 3285 y Fj(;)g
71240 < Fh(\012)3581 3297 y Fi(i)3609 3285 y Fj(;)g Fh(\012)3715
71241 < 3297 y Fi(j)3750 3285 y Fu(\)])p Fj(;)3937 3184 y Fu(\(10\))2125
71242 < 3491 y(where)27 b Fj(\027)2406 3503 y Fn(0)2471 3491
71180 > 3268 y(the)c(most)f(desirable)g(path)h(to)f(tak)n(e.)-34
71181 > 3544 y Fo(D.)88 b(Adjusted)29 b(P)n(oten)n(tials:)40
71182 > b(SSD/E)30 b(and)f(SSD/RF)-67 3757 y Fu(The)j(prop)r(ensit)n(y)g(of)g
71183 > (SSD)h(to)f(adopt)f(lo)n(w)n(er)g(than)h(exp)r(ected)-150
71184 > 3853 y(densities)21 b(under)h(v)-5 b(arying)20 b(conditions)h(is)g
71185 > (troubling,)h(esp)r(ecially)-150 3948 y(at)32 b(higher)f(temp)r
71186 > (eratures.)50 b(In)32 b(order)f(to)h(correct)f(this)h(b)r(eha)n(v-)-150
71187 > 4044 y(ior,)25 b(it's)h(necessary)e(to)h(adjust)h(the)g(force)e
71188 > (\014eld)i(parameters)e(for)-150 4139 y(the)g(primary)e(in)n
71189 > (termolecular)g(in)n(teractions.)35 b(In)24 b(undergoing)e(a)-150
71190 > 4235 y(reparameterization,)31 b(it)h(is)g(imp)r(ortan)n(t)f(not)h(to)g
71191 > (fo)r(cus)g(on)g(just)-150 4330 y(one)23 b(prop)r(ert)n(y)f(and)h
71192 > (neglect)g(the)h(other)e(imp)r(ortan)n(t)h(prop)r(erties.)-150
71193 > 4426 y(In)38 b(this)h(case,)h(it)f(w)n(ould)f(b)r(e)h(ideal)f(to)g
71194 > (correct)f(the)h(densities)-150 4521 y(while)28 b(main)n(taining)f(the)
71195 > h(accurate)e(transp)r(ort)h(prop)r(erties.)-67 4617 y(The)c(p)r
71196 > (ossible)f(parameters)f(for)h(tuning)g(include)h(the)g
71197 > Fj(\033)j Fu(and)d Fj(\017)-150 4712 y Fu(Lennard-Jones)28
71198 > b(parameters,)h(the)h(dip)r(ole)h(strength)e(\()p Fj(\026)p
71199 > Fu(\),)j(and)-150 4807 y(the)20 b(stic)n(ky)f(attractiv)n(e)g(and)g
71200 > (dip)r(ole)h(repulsiv)n(e)f(terms)g(with)h(their)-150
71201 > 4903 y(resp)r(ectiv)n(e)31 b(cuto\013s.)51 b(T)-7 b(o)32
71202 > b(alter)f(the)i(attractiv)n(e)d(and)i(repulsiv)n(e)-150
71203 > 4998 y(terms)h(of)g(the)h(stic)n(ky)f(p)r(oten)n(tial)g(indep)r(enden)n
71204 > (tly)-7 b(,)36 b(it)e(is)f(neces-)2070 -31 y Fr(T)-6
71205 > b(ABLE)26 b(I:)g(P)n(arameters)g(for)g(the)f(original)j(and)d(adjusted)
71206 > h(mo)r(dels)p 2228 12 1644 4 v 2270 94 a(P)n(arameters)260
71207 > b(SSD)3054 63 y Fl(y)3222 94 y Fr(SSD/E)84 b(SSD/RF)p
71208 > 2228 124 V 2322 205 a Fq(\033)28 b Fr(\()2424 192 y(\027)2424
71209 > 205 y(A\))398 b(3.051)169 b(3.035)k(3.019)2322 292 y
71210 > Fq(\017)25 b Fr(\(k)n(cal/mol\))178 b(0.152)169 b(0.152)k(0.152)2322
71211 > 379 y Fq(\026)26 b Fr(\(D\))417 b(2.35)187 b(2.418)173
71212 > b(2.480)2322 467 y Fq(\027)2360 475 y Fc(0)2420 467 y
71213 > Fr(\(k)n(cal/mol\))117 b(3.7284)169 b(3.90)211 b(3.90)2322
71214 > 558 y Fq(r)2357 567 y Fp(l)2406 558 y Fr(\()2436 545
71215 > y(\027)2436 558 y(A\))406 b(2.75)206 b(2.40)211 b(2.40)2322
71216 > 649 y Fq(r)2357 657 y Fp(u)2423 649 y Fr(\()2453 636
71217 > y(\027)2453 649 y(A\))389 b(3.35)206 b(3.80)211 b(3.80)2322
71218 > 736 y Fq(\027)2365 705 y Fl(0)2360 749 y Fc(0)2420 736
71219 > y Fr(\(k)n(cal/mol\))117 b(3.7284)169 b(3.90)211 b(3.90)2322
71220 > 828 y Fq(r)2359 796 y Fl(0)2357 843 y Fp(l)2406 828 y
71221 > Fr(\()2436 815 y(\027)2436 828 y(A\))406 b(2.75)206 b(2.75)211
71222 > b(2.75)2322 919 y Fq(r)2359 887 y Fl(0)2357 932 y Fp(u)2423
71223 > 919 y Fr(\()2453 906 y(\027)2453 919 y(A\))389 b(4.00)206
71224 > b(3.35)211 b(3.35)2245 1020 y Fl(y)2303 1051 y Fr(ref.)35
71225 > b(5)2042 1326 y Fu(sary)26 b(to)i(separate)e(the)i(terms)f(as)g(follo)n
71226 > (ws:)2150 1526 y Fj(u)2198 1486 y Fi(sp)2198 1549 y(ij)2267
71227 > 1526 y Fu(\()p Fh(r)2338 1538 y Fi(ij)2398 1526 y Fj(;)14
71228 > b Fh(\012)2503 1538 y Fi(i)2531 1526 y Fj(;)g Fh(\012)2637
71229 > 1538 y Fi(j)2672 1526 y Fu(\))23 b(=)2825 1470 y Fj(\027)2866
71230 > 1482 y Fn(0)p 2825 1507 79 4 v 2843 1583 a Fu(2)2913
71231 > 1526 y([)p Fj(s)p Fu(\()p Fj(r)3044 1538 y Fi(ij)3103
71232 > 1526 y Fu(\))p Fj(w)r Fu(\()p Fh(r)3267 1538 y Fi(ij)3327
71233 > 1526 y Fj(;)14 b Fh(\012)3433 1538 y Fi(i)3461 1526 y
71234 > Fj(;)g Fh(\012)3567 1538 y Fi(j)3602 1526 y Fu(\)])2833
71235 > 1735 y(+)2926 1678 y Fj(\027)2972 1648 y Ft(0)2967 1699
71236 > y Fn(0)p 2926 1715 V 2945 1792 a Fu(2)3015 1735 y([)p
71237 > Fj(s)3077 1700 y Ft(0)3100 1735 y Fu(\()p Fj(r)3169 1747
71238 > y Fi(ij)3228 1735 y Fu(\))p Fj(w)3321 1700 y Ft(0)3345
71239 > 1735 y Fu(\()p Fh(r)3416 1747 y Fi(ij)3475 1735 y Fj(;)g
71240 > Fh(\012)3581 1747 y Fi(i)3609 1735 y Fj(;)g Fh(\012)3715
71241 > 1747 y Fi(j)3750 1735 y Fu(\)])p Fj(;)3937 1634 y Fu(\(10\))2125
71242 > 1941 y(where)27 b Fj(\027)2406 1953 y Fn(0)2471 1941
71243   y Fu(scales)f(the)i(strength)f(of)g(the)h(tetrahedral)e(attrac-)2042
71244 < 3586 y(tion)40 b(and)g Fj(\027)2445 3556 y Ft(0)2440
71245 < 3607 y Fn(0)2517 3586 y Fu(acts)g(in)g(an)g(iden)n(tical)g(fashion)g
71246 < (on)g(the)g(dip)r(ole)2042 3682 y(repulsion)29 b(term.)43
71244 > 2036 y(tion)40 b(and)g Fj(\027)2445 2006 y Ft(0)2440
71245 > 2057 y Fn(0)2517 2036 y Fu(acts)g(in)g(an)g(iden)n(tical)g(fashion)g
71246 > (on)g(the)g(dip)r(ole)2042 2131 y(repulsion)29 b(term.)43
71247   b(F)-7 b(or)30 b(purp)r(oses)f(of)h(the)g(reparameterization,)2042
71248 < 3777 y(the)j(separation)e(w)n(as)g(p)r(erformed,)i(but)h(the)f(\014nal)
71249 < f(parameters)2042 3873 y(w)n(ere)h(adjusted)i(so)f(that)h(it)g(is)f
71250 < (unnecessary)f(to)i(separate)e(the)2042 3968 y(terms)25
71248 > 2227 y(the)j(separation)e(w)n(as)g(p)r(erformed,)i(but)h(the)f(\014nal)
71249 > f(parameters)2042 2322 y(w)n(ere)h(adjusted)i(so)f(that)h(it)g(is)f
71250 > (unnecessary)f(to)i(separate)e(the)2042 2418 y(terms)25
71251   b(when)i(implemen)n(ting)f(the)g(adjusted)h(w)n(ater)d(p)r(oten)n
71252 < (tials.)2042 4064 y(The)e(results)g(of)h(the)g(reparameterizations)c
71253 < (are)j(sho)n(wn)f(in)i(table)2042 4159 y(I.)60 b(Note)35
71254 < b(that)h(b)r(oth)f(the)h(tetrahedral)e(attractiv)n(e)g(and)h(dip)r(o-)
71255 < 2042 4255 y(lar)k(repulsiv)n(e)g(don't)h(share)f(the)h(same)g(lo)n(w)n
71256 < (er)e(cuto\013)i(\()p Fj(r)3916 4267 y Fi(l)3943 4255
71257 < y Fu(\))g(in)2042 4350 y(the)d(newly)g(parameterized)f(p)r(oten)n
71258 < (tials)h(-)f(soft)i(stic)n(ky)e(dip)r(ole)2042 4446 y(enhanced)f
71252 > (tials.)2042 2513 y(The)e(results)g(of)h(the)g(reparameterizations)c
71253 > (are)j(sho)n(wn)f(in)i(table)2042 2609 y(I.)60 b(Note)35
71254 > b(that)h(b)r(oth)f(the)h(tetrahedral)e(attractiv)n(e)g(and)h(dip)r(o-)
71255 > 2042 2704 y(lar)k(repulsiv)n(e)g(don't)h(share)f(the)h(same)g(lo)n(w)n
71256 > (er)e(cuto\013)i(\()p Fj(r)3916 2716 y Fi(l)3943 2704
71257 > y Fu(\))g(in)2042 2800 y(the)d(newly)g(parameterized)f(p)r(oten)n
71258 > (tials)h(-)f(soft)i(stic)n(ky)e(dip)r(ole)2042 2895 y(enhanced)f
71259   (\(SSD/E\))h(and)f(soft)h(stic)n(ky)f(dip)r(ole)g(reaction)g(\014eld)
71260 < 2042 4541 y(\(SSD/RF\).)2125 4636 y(In)20 b(the)g(pap)r(er)f(detailing)
71260 > 2042 2991 y(\(SSD/RF\).)2125 3086 y(In)20 b(the)g(pap)r(er)f(detailing)
71261   h(the)g(dev)n(elopmen)n(t)f(of)h(SSD,)g(Liu)g(and)2042
71262 < 4732 y(Ic)n(hiy)n(e)h(placed)g(particular)g(emphasis)g(on)h(an)f
71263 < (accurate)g(descrip-)2042 4827 y(tion)29 b(of)f(the)i(\014rst)e(solv)-5
71262 > 3182 y(Ic)n(hiy)n(e)h(placed)g(particular)g(emphasis)g(on)h(an)f
71263 > (accurate)g(descrip-)2042 3277 y(tion)29 b(of)f(the)i(\014rst)e(solv)-5
71264   b(ation)28 b(shell.)40 b(This)29 b(resulted)g(in)g(a)f(some-)2042
71265 < 4923 y(what)40 b(tall)f(and)h(sharp)f(\014rst)h(p)r(eak)f(that)i(in)n
71266 < (tegrated)d(to)i(giv)n(e)2042 5018 y(similar)35 b(co)r(ordination)g(n)n
71265 > 3373 y(what)40 b(tall)f(and)h(sharp)f(\014rst)h(p)r(eak)f(that)i(in)n
71266 > (tegrated)d(to)i(giv)n(e)2042 3468 y(similar)35 b(co)r(ordination)g(n)n
71267   (um)n(b)r(ers)g(to)h(the)g(exp)r(erimen)n(tal)g(data)2042
71268 < 5114 y(obtained)26 b(b)n(y)g(Sop)r(er)f(and)h(Phillips.)3184
71269 < 5084 y Fn(5,25)3333 5114 y Fu(New)g(exp)r(erimen)n(tal)g(x-)2042
71270 < 5209 y(ra)n(y)i(scattering)h(data)g(from)h(the)g(Head-Gordon)e(lab)h
71271 < (indicates)2042 5305 y(a)j(sligh)n(tly)f(lo)n(w)n(er)g(and)h(shifted)h
71272 < (\014rst)f(p)r(eak)f(in)i(the)f(g)3743 5317 y Fn(OO)3849
71273 < 5305 y Fu(\()p Fj(r)r Fu(\),)j(so)2042 5400 y(adjustmen)n(ts)25
71268 > 3564 y(obtained)26 b(b)n(y)g(Sop)r(er)f(and)h(Phillips.)3184
71269 > 3533 y Fn(5,25)3333 3564 y Fu(New)g(exp)r(erimen)n(tal)g(x-)2042
71270 > 3659 y(ra)n(y)i(scattering)h(data)g(from)h(the)g(Head-Gordon)e(lab)h
71271 > (indicates)2042 3755 y(a)j(sligh)n(tly)f(lo)n(w)n(er)g(and)h(shifted)h
71272 > (\014rst)f(p)r(eak)f(in)i(the)f(g)3743 3767 y Fn(OO)3849
71273 > 3755 y Fu(\()p Fj(r)r Fu(\),)j(so)2042 3850 y(adjustmen)n(ts)25
71274   b(to)h(SSD)g(w)n(ere)e(made)h(while)h(taking)f(in)n(to)g(consid-)2042
71275 < 5496 y(eration)i(the)i(new)g(exp)r(erimen)n(tal)f(\014ndings.)3442
71276 < 5466 y Fn(24)3540 5496 y Fu(Figure)g(7)g(sho)n(ws)p eop
71275 > 3945 y(eration)i(the)i(new)g(exp)r(erimen)n(tal)f(\014ndings.)3442
71276 > 3915 y Fn(24)3540 3945 y Fu(Figure)g(6)g(sho)n(ws)2042
71277 > 4041 y(the)23 b(relo)r(cation)f(of)i(the)f(\014rst)g(p)r(eak)g(of)h
71278 > (the)f(o)n(xygen-o)n(xygen)d(g\()p Fm(r)9 b Fu(\))2042
71279 > 4136 y(b)n(y)30 b(comparing)g(the)h(original)f(SSD)i(\(with)f(and)g
71280 > (without)h(reac-)2042 4232 y(tion)24 b(\014eld\),)i(SSD-E,)e(and)g
71281 > (SSD-RF)h(to)g(the)f(new)h(exp)r(erimen)n(tal)2042 4327
71282 > y(results.)71 b(Both)39 b(the)g(mo)r(di\014ed)h(w)n(ater)e(mo)r(dels)h
71283 > (ha)n(v)n(e)f(shorter)2042 4423 y(p)r(eaks)23 b(that)h(are)f(brough)n
71284 > (t)f(in)i(more)f(closely)g(to)h(the)g(exp)r(erimen-)2042
71285 > 4518 y(tal)33 b(p)r(eak)g(\(as)h(seen)f(in)h(the)f(insets)h(of)f
71286 > (\014gure)g(6\).)54 b(This)34 b(struc-)2042 4614 y(tural)c(alteration)g
71287 > (w)n(as)g(accomplished)h(b)n(y)f(a)h(reduction)g(in)g(the)2042
71288 > 4709 y(Lennard-Jones)k Fj(\033)41 b Fu(v)-5 b(ariable)37
71289 > b(as)g(w)n(ell)g(as)g(adjustmen)n(t)h(of)g(the)2042 4805
71290 > y(stic)n(ky)25 b(p)r(oten)n(tial)h(strength)f(and)h(cuto\013s.)37
71291 > b(The)25 b(cuto\013s)h(for)g(the)2042 4900 y(tetrahedral)34
71292 > b(attractiv)n(e)g(and)i(dip)r(olar)e(repulsiv)n(e)h(terms)g(w)n(ere)
71293 > 2042 4996 y(nearly)24 b(sw)n(app)r(ed)h(with)h(eac)n(h)f(other.)36
71294 > b(Isosurfaces)23 b(of)j(the)g(origi-)2042 5091 y(nal)h(and)g(mo)r
71295 > (di\014ed)h(stic)n(ky)f(p)r(oten)n(tials)h(are)e(sho)n(wn)h(in)h
71296 > (\014gure)3993 5061 y Fb(?)4061 5091 y Fu(.)2042 5187
71297 > y(In)22 b(these)h(isosurfaces,)f(it)h(is)f(easy)f(to)i(see)f(ho)n(w)g
71298 > (altering)f(the)i(cut-)2042 5282 y(o\013s)i(c)n(hanges)f(the)i
71299 > (repulsiv)n(e)e(and)i(attractiv)n(e)e(c)n(haracter)f(of)j(the)2042
71300 > 5378 y(particles.)53 b(With)34 b(a)f(reduced)g(repulsiv)n(e)g(surface)f
71301 > (\(the)i(dark)n(er)p eop
71302   %%Page: 7 7
71303   7 6 bop 4043 -299 a Fu(7)-133 2930 y @beginspecial 71
71304   @llx 60 @lly 514 @urx 743 @ury 2409 @rwi @setspecial
# Line 94622 | Line 86245 | cleartomark countdictstack exch sub { end } repeat res
86245   %%EOF
86246  
86247   %%EndDocument
86248 < @endspecial -150 3100 a Fr(FIG.)26 b(7:)34 b(Plots)27
86248 > @endspecial -150 3100 a Fr(FIG.)26 b(6:)34 b(Plots)27
86249   b(comparing)e(exp)r(erimen)n(t)1076 3068 y Fc(24)1165
86250   3100 y Fr(with)g(SSD/E)g(and)g(SSD)-150 3187 y(without)c(reaction)g
86251   (\014eld)g(\(top\),)g(as)h(w)n(ell)f(as)h(SSD/RF)d(and)h(SSD)g(with)
# Line 488666 | Line 480289 | showpage
480289   %%EOF
480290  
480291   %%EndDocument
480292 < @endspecial -150 4970 a(FIG.)h(8:)36 b(Isosurfaces)29
480292 > @endspecial -150 4970 a(FIG.)h(7:)36 b(Isosurfaces)29
480293   b(of)e(the)f(stic)n(ky)g(p)r(oten)n(tial)h(for)g(SSD)f(\(left\))h(and)
480294   -150 5057 y(SSD/E)37 b(&)f(SSD/RF)h(\(righ)n(t\).)68
480295   b(Ligh)n(t)37 b(areas)i(corresp)r(ond)e(to)h(the)-150
480296   5144 y(tetrahedral)29 b(attractiv)n(e)h(part,)g(and)e(the)h(dark)n(er)g
480297   (areas)h(corresp)r(ond)-150 5231 y(to)c(the)f(dip)r(olar)i(repulsiv)n
480298 < (e)e(part.)2042 -83 y Fu(the)e(relo)r(cation)f(of)i(the)f(\014rst)g(p)r
480299 < (eak)g(of)h(the)f(o)n(xygen-o)n(xygen)d(g\()p Fm(r)9
480300 < b Fu(\))2042 12 y(b)n(y)30 b(comparing)g(the)h(original)f(SSD)i(\(with)
480301 < f(and)g(without)h(reac-)2042 108 y(tion)24 b(\014eld\),)i(SSD-E,)e(and)
480302 < g(SSD-RF)h(to)g(the)f(new)h(exp)r(erimen)n(tal)2042 203
480303 < y(results.)71 b(Both)39 b(the)g(mo)r(di\014ed)h(w)n(ater)e(mo)r(dels)h
480304 < (ha)n(v)n(e)f(shorter)2042 299 y(p)r(eaks)23 b(that)h(are)f(brough)n(t)
480305 < f(in)i(more)f(closely)g(to)h(the)g(exp)r(erimen-)2042
488683 < 394 y(tal)33 b(p)r(eak)g(\(as)h(seen)f(in)h(the)f(insets)h(of)f
488684 < (\014gure)g(7\).)54 b(This)34 b(struc-)2042 490 y(tural)c(alteration)g
488685 < (w)n(as)g(accomplished)h(b)n(y)f(a)h(reduction)g(in)g(the)2042
488686 < 585 y(Lennard-Jones)k Fj(\033)41 b Fu(v)-5 b(ariable)37
488687 < b(as)g(w)n(ell)g(as)g(adjustmen)n(t)h(of)g(the)2042 681
488688 < y(stic)n(ky)25 b(p)r(oten)n(tial)h(strength)f(and)h(cuto\013s.)37
488689 < b(The)25 b(cuto\013s)h(for)g(the)2042 776 y(tetrahedral)34
488690 < b(attractiv)n(e)g(and)i(dip)r(olar)e(repulsiv)n(e)h(terms)g(w)n(ere)
488691 < 2042 872 y(nearly)24 b(sw)n(app)r(ed)h(with)h(eac)n(h)f(other.)36
488692 < b(Isosurfaces)23 b(of)j(the)g(origi-)2042 967 y(nal)h(and)g(mo)r
488693 < (di\014ed)h(stic)n(ky)f(p)r(oten)n(tials)h(are)e(sho)n(wn)h(in)h
488694 < (\014gure)3993 937 y Fb(?)4061 967 y Fu(.)2042 1063 y(In)22
488695 < b(these)h(isosurfaces,)f(it)h(is)f(easy)f(to)i(see)f(ho)n(w)g(altering)
488696 < f(the)i(cut-)2042 1158 y(o\013s)i(c)n(hanges)f(the)i(repulsiv)n(e)e
488697 < (and)i(attractiv)n(e)e(c)n(haracter)f(of)j(the)2042 1254
488698 < y(particles.)53 b(With)34 b(a)f(reduced)g(repulsiv)n(e)g(surface)f
488699 < (\(the)i(dark)n(er)2042 1349 y(region\),)25 b(the)h(particles)g(can)f
488700 < (mo)n(v)n(e)g(closer)g(to)g(one)h(another,)f(in-)2042
488701 < 1445 y(creasing)i(the)j(densit)n(y)e(for)h(the)g(o)n(v)n(erall)e
488702 < (system.)41 b(This)29 b(c)n(hange)2042 1540 y(in)d(in)n(teraction)e
488703 < (cuto\013)i(also)f(results)g(in)h(a)f(more)g(gradual)f(orien-)2042
488704 < 1636 y(tational)c(motion)g(b)n(y)g(allo)n(wing)f(the)i(particles)f(to)g
488705 < (main)n(tain)g(pre-)2042 1731 y(ferred)k(dip)r(olar)g(arrangemen)n(ts)f
488706 < (b)r(efore)i(they)g(b)r(egin)g(to)g(feel)g(the)2042 1826
480298 > (e)e(part.)2042 -83 y Fu(region\),)g(the)h(particles)g(can)f(mo)n(v)n
480299 > (e)g(closer)g(to)g(one)h(another,)f(in-)2042 12 y(creasing)i(the)j
480300 > (densit)n(y)e(for)h(the)g(o)n(v)n(erall)e(system.)41
480301 > b(This)29 b(c)n(hange)2042 108 y(in)d(in)n(teraction)e(cuto\013)i(also)
480302 > f(results)g(in)h(a)f(more)g(gradual)f(orien-)2042 203
480303 > y(tational)c(motion)g(b)n(y)g(allo)n(wing)f(the)i(particles)f(to)g
480304 > (main)n(tain)g(pre-)2042 299 y(ferred)k(dip)r(olar)g(arrangemen)n(ts)f
480305 > (b)r(efore)i(they)g(b)r(egin)g(to)g(feel)g(the)2042 394
480306   y(pull)c(of)g(the)g(tetrahedral)f(restructuring.)33 b(Up)r(on)22
480307 < b(mo)n(ving)d(closer)2042 1922 y(together,)28 b(the)h(dip)r(olar)e
480307 > b(mo)n(ving)d(closer)2042 490 y(together,)28 b(the)h(dip)r(olar)e
480308   (repulsion)h(term)g(b)r(ecomes)h(activ)n(e)e(and)2042
480309 < 2017 y(excludes)39 b(the)h(unph)n(ysical)f(arrangemen)n(ts.)70
480310 < b(This)40 b(compares)2042 2113 y(with)25 b(the)g(original)e(SSD's)i
480309 > 585 y(excludes)39 b(the)h(unph)n(ysical)f(arrangemen)n(ts.)70
480310 > b(This)40 b(compares)2042 681 y(with)25 b(the)g(original)e(SSD's)i
480311   (excluding)f(dip)r(olar)g(b)r(efore)g(the)h(par-)2042
480312 < 2208 y(ticles)k(feel)h(the)f(pull)h(of)f(the)h(\\h)n(ydrogen)d(b)r
480313 < (onds".)41 b(Aside)30 b(from)2042 2304 y(impro)n(ving)35
480312 > 776 y(ticles)k(feel)h(the)f(pull)h(of)f(the)h(\\h)n(ydrogen)d(b)r
480313 > (onds".)41 b(Aside)30 b(from)2042 872 y(impro)n(ving)35
480314   b(the)i(shap)r(e)f(of)h(the)g(\014rst)f(p)r(eak)g(in)h(the)g(g\()p
480315 < Fm(r)9 b Fu(\),)39 b(this)2042 2399 y(impro)n(v)n(es)27
480315 > Fm(r)9 b Fu(\),)39 b(this)2042 967 y(impro)n(v)n(es)27
480316   b(the)h(densities)h(considerably)e(b)n(y)h(allo)n(wing)f(the)i(p)r(er-)
480317 < 2042 2495 y(sistence)j(of)g(full)g(dip)r(olar)g(c)n(haracter)e(b)r(elo)
480318 < n(w)i(the)g(previous)f(4.0)2042 2575 y(\027)2042 2590
480319 < y(A)d(cuto\013.)2125 2686 y(While)43 b(adjusting)f(the)h(lo)r(cation)f
480320 < (and)h(shap)r(e)f(of)h(the)f(\014rst)2042 2781 y(p)r(eak)23
480317 > 2042 1063 y(sistence)j(of)g(full)g(dip)r(olar)g(c)n(haracter)e(b)r(elo)
480318 > n(w)i(the)g(previous)f(4.0)2042 1143 y(\027)2042 1158
480319 > y(A)d(cuto\013.)2125 1254 y(While)43 b(adjusting)f(the)h(lo)r(cation)f
480320 > (and)h(shap)r(e)f(of)h(the)f(\014rst)2042 1349 y(p)r(eak)23
480321   b(of)h(g\()p Fm(r)9 b Fu(\))24 b(impro)n(v)n(es)e(the)i(densities)g(to)
480322 < f(some)h(degree,)f(these)2042 2877 y(c)n(hanges)34 b(alone)i(are)f
480322 > f(some)h(degree,)f(these)2042 1445 y(c)n(hanges)34 b(alone)i(are)f
480323   (insu\016cien)n(t)h(to)g(bring)g(the)g(system)g(den-)2042
480324 < 2972 y(sities)c(up)h(to)g(the)g(v)-5 b(alues)32 b(observ)n(ed)f(exp)r
480324 > 1540 y(sities)c(up)h(to)g(the)g(v)-5 b(alues)32 b(observ)n(ed)f(exp)r
480325   (erimen)n(tally)-7 b(.)51 b(T)-7 b(o)32 b(\014n-)2042
480326 < 3068 y(ish)i(bringing)f(up)i(the)f(densities,)i(the)f(dip)r(ole)f
480327 < (momen)n(ts)g(w)n(ere)2042 3163 y(increased)g(in)h(b)r(oth)h(the)g
480326 > 1636 y(ish)i(bringing)f(up)i(the)f(densities,)i(the)f(dip)r(ole)f
480327 > (momen)n(ts)g(w)n(ere)2042 1731 y(increased)g(in)h(b)r(oth)h(the)g
480328   (adjusted)f(mo)r(dels.)60 b(Being)35 b(a)g(dip)r(ole)2042
480329 < 3259 y(based)e(mo)r(del,)i(the)f(structure)f(and)g(transp)r(ort)g(are)f
480330 < (v)n(ery)h(sen-)2042 3354 y(sitiv)n(e)40 b(to)h(c)n(hanges)f(in)h(the)h
480331 < (dip)r(ole)f(momen)n(t.)77 b(The)41 b(original)2042 3450
480332 < y(SSD)27 b(simply)f(used)h(the)f(dip)r(ole)h(momen)n(t)f(calculated)g
480333 < (from)g(the)2042 3545 y(TIP3P)44 b(w)n(ater)h(mo)r(del,)50
480329 > 1826 y(based)e(mo)r(del,)i(the)f(structure)f(and)g(transp)r(ort)g(are)f
480330 > (v)n(ery)h(sen-)2042 1922 y(sitiv)n(e)40 b(to)h(c)n(hanges)f(in)h(the)h
480331 > (dip)r(ole)f(momen)n(t.)77 b(The)41 b(original)2042 2017
480332 > y(SSD)27 b(simply)f(used)h(the)f(dip)r(ole)h(momen)n(t)f(calculated)g
480333 > (from)g(the)2042 2113 y(TIP3P)44 b(w)n(ater)h(mo)r(del,)50
480334   b(whic)n(h)c(at)f(2.35)f(D)j(is)e(signi\014can)n(tly)2042
480335 < 3641 y(greater)24 b(than)h(the)h(exp)r(erimen)n(tal)g(gas)e(phase)h(v)
480336 < -5 b(alue)26 b(of)f(1.84)g(D.)2042 3736 y(The)33 b(larger)e(dip)r(ole)j
480335 > 2208 y(greater)24 b(than)h(the)h(exp)r(erimen)n(tal)g(gas)e(phase)h(v)
480336 > -5 b(alue)26 b(of)f(1.84)g(D.)2042 2304 y(The)33 b(larger)e(dip)r(ole)j
480337   (momen)n(t)f(is)g(a)g(more)f(realistic)g(v)-5 b(alue)33
480338 < b(and)2042 3831 y(impro)n(v)n(e)24 b(the)i(dielectric)g(prop)r(erties)f
480339 < (of)h(the)g(\015uid.)37 b(Both)26 b(theo-)2042 3927 y(retical)h(and)i
480338 > b(and)2042 2399 y(impro)n(v)n(e)24 b(the)i(dielectric)g(prop)r(erties)f
480339 > (of)h(the)g(\015uid.)37 b(Both)26 b(theo-)2042 2495 y(retical)h(and)i
480340   (exp)r(erimen)n(tal)e(measuremen)n(ts)h(indicate)g(a)g(liquid)2042
480341 < 4022 y(phase)18 b(dip)r(ole)i(momen)n(t)f(ranging)e(from)i(2.4)f(D)i
480342 < (to)f(v)-5 b(alues)19 b(as)f(high)2042 4118 y(as)29 b(3.11)g(D,)i(so)e
480341 > 2590 y(phase)18 b(dip)r(ole)i(momen)n(t)f(ranging)e(from)i(2.4)f(D)i
480342 > (to)f(v)-5 b(alues)19 b(as)f(high)2042 2686 y(as)29 b(3.11)g(D,)i(so)e
480343   (there)h(is)g(quite)g(a)g(range)f(a)n(v)-5 b(ailable)29
480344 < b(for)g(adjust-)2042 4213 y(ing)c(the)i(dip)r(ole)e(momen)n(t.)2880
480345 < 4183 y Fn(26)q({29)3076 4213 y Fu(The)h(increasing)e(of)i(the)g(dip)r
480346 < (ole)2042 4309 y(momen)n(ts)34 b(to)g(2.418)f(and)h(2.48)f(D)i(for)e
480347 < (SSD/E)h(and)h(SSD/RF)2042 4404 y(resp)r(ectiv)n(ely)c(is)g(mo)r
480344 > b(for)g(adjust-)2042 2781 y(ing)c(the)i(dip)r(ole)e(momen)n(t.)2880
480345 > 2751 y Fn(26)q({29)3076 2781 y Fu(The)h(increasing)e(of)i(the)g(dip)r
480346 > (ole)2042 2877 y(momen)n(ts)34 b(to)g(2.418)f(and)h(2.48)f(D)i(for)e
480347 > (SSD/E)h(and)h(SSD/RF)2042 2972 y(resp)r(ectiv)n(ely)c(is)g(mo)r
480348   (derate)h(in)g(the)g(range)f(of)g(the)i(exp)r(erimen-)2042
480349 < 4500 y(tal)27 b(v)-5 b(alues;)27 b(ho)n(w)n(ev)n(er,)f(it)i(leads)f(to)
480350 < g(signi\014can)n(t)g(c)n(hanges)f(in)i(the)2042 4595
480349 > 3068 y(tal)27 b(v)-5 b(alues;)27 b(ho)n(w)n(ev)n(er,)f(it)i(leads)f(to)
480350 > g(signi\014can)n(t)g(c)n(hanges)f(in)i(the)2042 3163
480351   y(densit)n(y)f(and)h(transp)r(ort)e(of)i(the)g(w)n(ater)e(mo)r(dels.)
480352 < 2125 4691 y(In)31 b(order)e(to)i(demonstrate)f(the)i(b)r(ene\014ts)f
480353 < (of)g(this)g(reparam-)2042 4786 y(eterization,)i(a)g(series)f(of)h(NPT)
480354 < g(and)g(NVE)g(sim)n(ulations)f(w)n(ere)2042 4882 y(p)r(erformed)25
480352 > 2125 3259 y(In)31 b(order)e(to)i(demonstrate)f(the)i(b)r(ene\014ts)f
480353 > (of)g(this)g(reparam-)2042 3354 y(eterization,)i(a)g(series)f(of)h(NPT)
480354 > g(and)g(NVE)g(sim)n(ulations)f(w)n(ere)2042 3450 y(p)r(erformed)25
480355   b(to)h(prob)r(e)g(the)g(densit)n(y)g(and)g(transp)r(ort)f(prop)r
480356 < (erties)2042 4977 y(of)37 b(the)h(adapted)f(mo)r(dels)h(and)f(compare)f
480357 < (the)i(results)f(to)h(the)2042 5073 y(original)26 b(SSD)j(mo)r(del.)37
480356 > (erties)2042 3545 y(of)37 b(the)h(adapted)f(mo)r(dels)h(and)f(compare)f
480357 > (the)i(results)f(to)h(the)2042 3641 y(original)26 b(SSD)j(mo)r(del.)37
480358   b(This)28 b(comparison)e(in)n(v)n(olv)n(ed)h(full)h(NPT)2042
480359 < 5168 y(melting)f(sequences)f(for)g(b)r(oth)i(SSD/E)e(and)h(SSD/RF,)g
480360 < (as)f(w)n(ell)2042 5264 y(as)19 b(NVE)i(transp)r(ort)e(calculations)g
480361 < (at)h(b)r(oth)h(self-consisten)n(t)e(and)2042 5359 y(exp)r(erimen)n
480359 > 3736 y(melting)f(sequences)f(for)g(b)r(oth)i(SSD/E)e(and)h(SSD/RF,)g
480360 > (as)f(w)n(ell)2042 3831 y(as)19 b(NVE)i(transp)r(ort)e(calculations)g
480361 > (at)h(b)r(oth)h(self-consisten)n(t)e(and)2042 3927 y(exp)r(erimen)n
480362   (tal)j(densities.)35 b(Again,)24 b(the)f(results)g(come)f(from)h(\014v)
480363 < n(e)p eop
480363 > n(e)2042 4022 y(separate)37 b(sim)n(ulations)h(of)h(1024)e(particle)h
480364 > (systems,)j(and)e(the)2042 4118 y(melting)23 b(sequences)f(w)n(ere)g
480365 > (started)g(from)h(di\013eren)n(t)g(ice)g Fj(I)3844 4130
480366 > y Fi(h)3910 4118 y Fu(crys-)2042 4213 y(tals)30 b(constructed)f(as)h
480367 > (stated)g(previously)-7 b(.)44 b(Lik)n(e)30 b(b)r(efore,)g(all)g(of)
480368 > 2042 4309 y(the)e(NPT)f(sim)n(ulations)f(w)n(ere)h(equilibrated)f(for)h
480369 > (100)f(ps)h(b)r(efore)2042 4404 y(a)36 b(200)f(ps)h(data)g(collection)g
480370 > (run,)i(and)e(they)h(used)f(the)h(previ-)2042 4500 y(ous)25
480371 > b(temp)r(erature's)g(\014nal)g(con\014guration)f(as)g(a)h(starting)g(p)
480372 > r(oin)n(t.)2042 4595 y(All)e(of)g(the)g(NVE)g(sim)n(ulations)f(had)h
480373 > (the)g(same)f(thermalization,)2042 4691 y(equilibration,)30
480374 > b(and)g(data)f(collection)h(times)g(stated)g(earlier)f(in)2042
480375 > 4786 y(this)f(pap)r(er.)2125 4882 y(Figure)i(8)g(sho)n(ws)g(the)h
480376 > (densit)n(y)f(pro\014le)h(for)f(the)h(SSD/E)f(w)n(a-)2042
480377 > 4977 y(ter)j(mo)r(del)g(in)h(comparison)e(to)h(the)h(original)e(SSD)i
480378 > (without)g(a)2042 5073 y(reaction)k(\014eld,)k(exp)r(erimen)n(t,)g(and)
480379 > d(the)g(other)g(common)f(w)n(a-)2042 5168 y(ter)g(mo)r(dels)g
480380 > (considered)f(previously)-7 b(.)67 b(The)39 b(calculated)e(den-)2042
480381 > 5264 y(sities)d(ha)n(v)n(e)e(increased)h(signi\014can)n(tly)g(o)n(v)n
480382 > (er)f(the)i(original)e(SSD)2042 5359 y(mo)r(del)c(and)g(matc)n(h)g(the)
480383 > h(exp)r(erimen)n(tal)f(v)-5 b(alue)28 b(just)h(b)r(elo)n(w)f(298)p
480384 > eop
480385   %%Page: 8 8
480386   8 7 bop 4043 -299 a Fu(8)-133 2245 y @beginspecial 44
480387   @llx 93 @lly 517 @urx 661 @ury 2409 @rwi @setspecial
# Line 497257 | Line 488877 | cleartomark countdictstack exch sub { end } repeat res
488877   %%EOF
488878  
488879   %%EndDocument
488880 < @endspecial -150 2415 a Fr(FIG.)34 b(9:)50 b(Comparison)34
488880 > @endspecial -150 2415 a Fr(FIG.)34 b(8:)50 b(Comparison)34
488881   b(of)h(densities)f(calculated)g(with)g(SSD/E)f(to)-150
488882   2502 y(SSD)c(without)i(a)g(reaction)g(\014eld,)h(TIP4P)1102
488883   2471 y Fc(19)1168 2502 y Fr(,)g(TIP3P)1446 2471 y Fc(19)1512
# Line 497266 | Line 488886 | b(.)-150 3044 y Fu(separate)37 b(sim)n(ulations)h(of)h
488886   y Fr(.)49 b(The)31 b(upp)r(er)f(plot)g(includes)h(error)g(bars,)i(and)
488887   -150 2677 y(the)23 b(calculated)h(results)f(from)g(the)g(other)g
488888   (references)h(w)n(ere)g(remo)n(v)n(ed)-150 2764 y(for)i(clarit)n(y)-6
488889 < b(.)-150 3044 y Fu(separate)37 b(sim)n(ulations)h(of)h(1024)e(particle)
488890 < h(systems,)j(and)e(the)-150 3140 y(melting)23 b(sequences)f(w)n(ere)g
488891 < (started)h(from)f(di\013eren)n(t)h(ice)g Fj(I)1652 3152
488892 < y Fi(h)1719 3140 y Fu(crys-)-150 3235 y(tals)30 b(constructed)g(as)f
488893 < (stated)h(previously)-7 b(.)44 b(Lik)n(e)30 b(b)r(efore,)g(all)g(of)
488894 < -150 3331 y(the)e(NPT)f(sim)n(ulations)f(w)n(ere)h(equilibrated)g(for)f
488895 < (100)g(ps)i(b)r(efore)-150 3426 y(a)36 b(200)f(ps)h(data)g(collection)g
488896 < (run,)i(and)f(they)f(used)g(the)h(previ-)-150 3522 y(ous)25
488897 < b(temp)r(erature's)g(\014nal)g(con\014guration)f(as)h(a)g(starting)f(p)
488898 < r(oin)n(t.)-150 3617 y(All)f(of)g(the)g(NVE)g(sim)n(ulations)f(had)h
497279 < (the)g(same)f(thermalization,)-150 3713 y(equilibration,)30
497280 < b(and)g(data)g(collection)f(times)h(stated)h(earlier)d(in)-150
497281 < 3808 y(this)g(pap)r(er.)-67 3903 y(Figure)i(9)g(sho)n(ws)g(the)h
497282 < (densit)n(y)g(pro\014le)f(for)g(the)h(SSD/E)g(w)n(a-)-150
497283 < 3999 y(ter)i(mo)r(del)h(in)f(comparison)f(to)h(the)h(original)e(SSD)i
497284 < (without)g(a)-150 4094 y(reaction)k(\014eld,)k(exp)r(erimen)n(t,)g(and)
497285 < d(the)g(other)g(common)g(w)n(a-)-150 4190 y(ter)f(mo)r(dels)g
497286 < (considered)f(previously)-7 b(.)68 b(The)38 b(calculated)g(den-)-150
497287 < 4285 y(sities)c(ha)n(v)n(e)e(increased)h(signi\014can)n(tly)g(o)n(v)n
497288 < (er)f(the)i(original)f(SSD)-150 4381 y(mo)r(del)28 b(and)h(matc)n(h)f
497289 < (the)g(exp)r(erimen)n(tal)g(v)-5 b(alue)28 b(just)h(b)r(elo)n(w)f(298)
497290 < -150 4476 y(K.)20 b(A)n(t)h(298)f(K,)g(the)h(densit)n(y)g(of)f(SSD/E)h
497291 < (is)f(0.995)p Ff(\006)p Fu(0.001)d(g/cm)1833 4446 y Fn(3)1869
497292 < 4476 y Fu(,)-150 4572 y(whic)n(h)k(compares)e(w)n(ell)h(with)i(the)f
497293 < (exp)r(erimen)n(tal)f(v)-5 b(alue)21 b(of)f(0.997)-150
497294 < 4667 y(g/cm)40 4637 y Fn(3)118 4667 y Fu(and)41 b(is)h(considerably)e
497295 < (b)r(etter)i(than)f(the)h(SSD)h(v)-5 b(alue)-150 4763
497296 < y(of)43 b(0.967)p Ff(\006)p Fu(0.003)38 b(g/cm)635 4733
497297 < y Fn(3)671 4763 y Fu(.)82 b(The)43 b(increased)f(dip)r(ole)g(momen)n(t)
497298 < -150 4858 y(in)33 b(SSD/E)f(has)f(help)r(ed)i(to)f(\015atten)h(out)f
497299 < (the)h(curv)n(e)e(at)h(higher)-150 4954 y(temp)r(eratures,)25
488889 > b(.)-150 3044 y Fu(K.)20 b(A)n(t)h(298)f(K,)g(the)h(densit)n(y)g(of)f
488890 > (SSD/E)h(is)f(0.995)p Ff(\006)p Fu(0.001)d(g/cm)1833
488891 > 3014 y Fn(3)1869 3044 y Fu(,)-150 3140 y(whic)n(h)k(compares)e(w)n(ell)
488892 > h(with)i(the)f(exp)r(erimen)n(tal)f(v)-5 b(alue)21 b(of)f(0.997)-150
488893 > 3235 y(g/cm)40 3205 y Fn(3)118 3235 y Fu(and)41 b(is)h(considerably)e
488894 > (b)r(etter)i(than)f(the)h(SSD)h(v)-5 b(alue)-150 3331
488895 > y(of)43 b(0.967)p Ff(\006)p Fu(0.003)38 b(g/cm)635 3300
488896 > y Fn(3)671 3331 y Fu(.)82 b(The)43 b(increased)f(dip)r(ole)g(momen)n(t)
488897 > -150 3426 y(in)33 b(SSD/E)f(has)f(help)r(ed)i(to)f(\015atten)h(out)f
488898 > (the)h(curv)n(e)e(at)h(higher)-150 3522 y(temp)r(eratures,)25
488899   b(only)g(the)h(impro)n(v)n(emen)n(t)e(is)i(marginal)e(at)h(b)r(est.)
488900 < -150 5049 y(This)30 b(steep)f(drop)h(in)f(densities)h(is)g(due)g(to)f
488901 < (the)h(dip)r(olar)f(rather)-150 5145 y(than)24 b(c)n(harge)e(based)i
488900 > -150 3617 y(This)30 b(steep)f(drop)h(in)f(densities)h(is)g(due)g(to)f
488901 > (the)h(dip)r(olar)f(rather)-150 3713 y(than)24 b(c)n(harge)e(based)i
488902   (in)n(teractions)e(whic)n(h)i(deca)n(y)f(more)g(rapidly)-150
488903 < 5240 y(at)k(longer)g(distances.)-67 5336 y(By)35 b(monitoring)g(Cp)g
488904 < (throughout)g(these)g(sim)n(ulations,)i(the)2059 2245
488905 < y @beginspecial 44 @llx 93 @lly 517 @urx 661 @ury 2409
488906 < @rwi @setspecial
488903 > 3808 y(at)k(longer)g(distances.)-67 3903 y(By)35 b(monitoring)g(Cp)g
488904 > (throughout)g(these)g(sim)n(ulations,)i(the)-150 3999
488905 > y(melting)42 b(transition)f(for)g(SSD/E)g(w)n(as)g(observ)n(ed)f(at)h
488906 > (230)g(K,)-150 4094 y(ab)r(out)35 b(5)f(degrees)f(lo)n(w)n(er)g(than)i
488907 > (SSD.)g(The)g(resulting)f(densit)n(y)-150 4190 y(maxim)n(um)41
488908 > b(is)g(lo)r(cated)g(at)g(240)f(K,)h(again)f(ab)r(out)h(5)g(degrees)-150
488909 > 4285 y(lo)n(w)n(er)33 b(than)j(the)f(SSD)h(v)-5 b(alue)35
488910 > b(of)g(245)f(K.)g(Though)h(there)g(is)g(a)-150 4381 y(decrease)30
488911 > b(in)h(b)r(oth)h(of)f(these)h(v)-5 b(alues,)32 b(the)f(corrected)f
488912 > (densities)-150 4476 y(near)d(ro)r(om)f(temp)r(erature)i(justify)g(the)
488913 > g(mo)r(di\014cations)f(tak)n(en.)-67 4572 y(Figure)22
488914 > b(9)f(sho)n(ws)g(a)h(densit)n(y)g(comparison)f(b)r(et)n(w)n(een)h
488915 > (SSD/RF)-150 4667 y(and)28 b(SSD)h(with)f(an)g(activ)n(e)f(reaction)g
488916 > (\014eld.)39 b(Lik)n(e)27 b(in)h(the)h(sim)n(u-)-150
488917 > 4763 y(lations)c(of)g(SSD/E,)g(the)h(densities)g(sho)n(w)e(a)h
488918 > (dramatic)g(increase)-150 4858 y(o)n(v)n(er)34 b(normal)g(SSD.)i(A)n(t)
488919 > g(298)e(K,)h(SSD/RF)h(has)f(a)g(densit)n(y)g(of)-150
488920 > 4954 y(0.997)p Ff(\006)p Fu(0.001)g(g/cm)522 4924 y Fn(3)559
488921 > 4954 y Fu(,)42 b(righ)n(t)d(in)h(line)f(with)h(exp)r(erimen)n(t)g(and)
488922 > -150 5049 y(considerably)33 b(b)r(etter)h(than)g(the)h(SSD)g(v)-5
488923 > b(alue)34 b(of)g(0.941)p Ff(\006)p Fu(0.001)-150 5145
488924 > y(g/cm)40 5115 y Fn(3)76 5145 y Fu(.)55 b(The)33 b(melting)h(p)r(oin)n
488925 > (t)g(is)f(observ)n(ed)f(at)h(240)f(K,)h(whic)n(h)-150
488926 > 5240 y(is)j(5)g(degrees)g(lo)n(w)n(er)e(than)j(SSD)g(with)g(a)f
488927 > (reaction)g(\014eld,)j(and)-150 5336 y(the)e(densit)n(y)g(maxim)n(um)g
488928 > (at)g(255)f(K,)h(again)f(5)g(degrees)g(lo)n(w)n(er)2059
488929 > 2245 y @beginspecial 44 @llx 93 @lly 517 @urx 661 @ury
488930 > 2409 @rwi @setspecial
488931   %%BeginDocument: ssdrfcompare.epsi
488932   %!PS-Adobe-2.0 EPSF-1.2
488933   %%Title: ssdrfcompare.ps
# Line 505860 | Line 497483 | cleartomark countdictstack exch sub { end } repeat res
497483   %%EOF
497484  
497485   %%EndDocument
497486 < @endspecial 2042 2415 a Fr(FIG.)23 b(10:)34 b(Comparison)23
497487 < b(of)g(densities)h(calculated)f(with)g(SSD/RF)f(to)2042
497488 < 2502 y(SSD)i(with)i(a)g(reaction)g(\014eld,)g(TIP4P)3157
497486 > @endspecial 2042 2415 a Fr(FIG.)28 b(9:)38 b(Comparison)28
497487 > b(of)g(densities)g(calculated)h(with)e(SSD/RF)g(to)2042
497488 > 2502 y(SSD)d(with)i(a)g(reaction)g(\014eld,)g(TIP4P)3157
497489   2471 y Fc(19)3223 2502 y Fr(,)g(TIP3P)3495 2471 y Fc(19)3561
497490   2502 y Fr(,)g(SPC/E)3848 2471 y Fc(20)3914 2502 y Fr(,)f(and)2042
497491   2590 y(Exp)r(erimen)n(t)2435 2558 y Fc(21)2498 2590 y
497492   Fr(.)55 b(The)32 b(upp)r(er)f(plot)i(includes)f(error)h(bars,)i(and)c
497493   (the)2042 2677 y(calculated)26 b(results)f(from)g(the)f(other)h
497494   (references)h(w)n(ere)g(remo)n(v)n(ed)d(for)2042 2764
497495 < y(clarit)n(y)-6 b(.)2042 3044 y Fu(melting)42 b(transition)f(for)g
497496 < (SSD/E)g(w)n(as)g(observ)n(ed)f(at)h(230)f(K,)2042 3140
497497 < y(ab)r(out)34 b(5)g(degrees)g(lo)n(w)n(er)f(than)h(SSD.)i(The)e
497498 < (resulting)g(densit)n(y)2042 3235 y(maxim)n(um)41 b(is)g(lo)r(cated)g
497499 < (at)g(240)f(K,)h(again)f(ab)r(out)h(5)g(degrees)2042
497500 < 3331 y(lo)n(w)n(er)33 b(than)i(the)h(SSD)g(v)-5 b(alue)35
497501 < b(of)g(245)e(K.)i(Though)g(there)g(is)g(a)2042 3426 y(decrease)30
505879 < b(in)h(b)r(oth)h(of)f(these)h(v)-5 b(alues,)32 b(the)f(corrected)f
505880 < (densities)2042 3522 y(near)d(ro)r(om)f(temp)r(erature)h(justify)i(the)
505881 < f(mo)r(di\014cations)f(tak)n(en.)2125 3617 y(Figure)70
505882 < b(10)g(sho)n(ws)g(a)h(densit)n(y)g(comparison)e(b)r(et)n(w)n(een)2042
505883 < 3713 y(SSD/RF)41 b(and)f(SSD)h(with)g(an)g(activ)n(e)e(reaction)h
505884 < (\014eld.)76 b(Lik)n(e)2042 3808 y(in)35 b(the)g(sim)n(ulations)f(of)g
505885 < (SSD/E,)h(the)g(densities)f(sho)n(w)g(a)g(dra-)2042 3903
505886 < y(matic)26 b(increase)e(o)n(v)n(er)g(normal)h(SSD.)h(A)n(t)h(298)d(K,)h
505887 < (SSD/RF)i(has)2042 3999 y(a)37 b(densit)n(y)g(of)h(0.997)p
505888 < Ff(\006)p Fu(0.001)33 b(g/cm)3192 3969 y Fn(3)3229 3999
505889 < y Fu(,)40 b(righ)n(t)d(in)h(line)g(with)g(ex-)2042 4094
505890 < y(p)r(erimen)n(t)28 b(and)g(considerably)e(b)r(etter)j(than)f(the)h
505891 < (SSD)f(v)-5 b(alue)28 b(of)2042 4190 y(0.941)p Ff(\006)p
505892 < Fu(0.001)34 b(g/cm)2713 4160 y Fn(3)2750 4190 y Fu(.)70
505893 < b(The)38 b(melting)h(p)r(oin)n(t)g(is)f(observ)n(ed)f(at)2042
505894 < 4285 y(240)21 b(K,)i(whic)n(h)g(is)g(5)g(degrees)f(lo)n(w)n(er)f(than)i
505895 < (SSD)h(with)g(a)e(reaction)2042 4381 y(\014eld,)h(and)e(the)g(densit)n
505896 < (y)h(maxim)n(um)f(at)g(255)f(K,)h(again)f(5)h(degrees)2042
505897 < 4476 y(lo)n(w)n(er)26 b(than)j(SSD.)g(The)f(densit)n(y)g(at)g(higher)g
505898 < (temp)r(erature)g(still)2042 4572 y(drops)c(o\013)g(more)g(rapidly)g
505899 < (than)h(the)g(c)n(harge)e(based)h(mo)r(dels)h(but)2042
505900 < 4667 y(is)i(in)h(b)r(etter)g(agreemen)n(t)e(than)i(SSD/E.)2125
505901 < 4763 y(The)e(reparameterization)e(of)i(the)g(SSD)h(w)n(ater)e(mo)r
505902 < (del,)i(b)r(oth)2042 4858 y(for)34 b(use)g(with)h(and)g(without)f(an)h
505903 < (applied)f(long-range)e(correc-)2042 4954 y(tion,)41
497495 > y(clarit)n(y)-6 b(.)2042 3044 y Fu(than)27 b(SSD.)h(The)f(densit)n(y)g
497496 > (at)g(higher)f(temp)r(erature)h(still)g(drops)2042 3140
497497 > y(o\013)i(more)g(rapidly)g(than)h(the)g(c)n(harge)e(based)h(mo)r(dels)g
497498 > (but)h(is)g(in)2042 3235 y(b)r(etter)e(agreemen)n(t)e(than)i(SSD/E.)
497499 > 2125 3331 y(The)e(reparameterization)e(of)i(the)g(SSD)h(w)n(ater)e(mo)r
497500 > (del,)i(b)r(oth)2042 3426 y(for)34 b(use)g(with)h(and)g(without)f(an)h
497501 > (applied)f(long-range)e(correc-)2042 3522 y(tion,)41
497502   b(brough)n(t)c(the)i(densities)f(up)h(to)f(what)g(is)g(exp)r(ected)h
497503 < (for)2042 5049 y(sim)n(ulating)f(liquid)i(w)n(ater.)70
497504 < b(In)40 b(addition)f(to)g(impro)n(ving)f(the)2042 5145
497503 > (for)2042 3617 y(sim)n(ulating)f(liquid)i(w)n(ater.)70
497504 > b(In)40 b(addition)f(to)g(impro)n(ving)f(the)2042 3713
497505   y(densities,)23 b(it)f(is)g(imp)r(ortan)n(t)f(that)h(particle)g(transp)
497506 < r(ort)e(b)r(e)j(main-)2042 5240 y(tained)f(or)f(impro)n(v)n(ed.)34
497507 < b(Figure)22 b(11)f(compares)g(the)i(temp)r(erature)2042
497508 < 5336 y(dep)r(endence)35 b(of)g(the)g(di\013usion)g(constan)n(t)f(of)g
497509 < (SSD/E)h(to)f(SSD)p eop
497506 > r(ort)e(b)r(e)j(main-)2042 3808 y(tained)f(or)f(impro)n(v)n(ed.)34
497507 > b(Figure)22 b(10)f(compares)g(the)i(temp)r(erature)2042
497508 > 3903 y(dep)r(endence)35 b(of)g(the)g(di\013usion)g(constan)n(t)f(of)g
497509 > (SSD/E)h(to)f(SSD)2042 3999 y(without)41 b(an)f(activ)n(e)g(reaction)f
497510 > (\014eld,)44 b(b)r(oth)d(at)f(the)h(densities)2042 4094
497511 > y(calculated)24 b(at)g(1)g(atm)h(and)f(at)h(the)g(exp)r(erimen)n(tally)
497512 > f(calculated)2042 4190 y(densities)h(for)g(sup)r(er-co)r(oled)g(and)g
497513 > (liquid)h(w)n(ater.)35 b(In)26 b(the)g(upp)r(er)2042
497514 > 4285 y(plot,)35 b(the)f(di\013usion)g(constan)n(t)f(for)g(SSD/E)g(is)h
497515 > (consisten)n(tly)f(a)2042 4381 y(little)27 b(faster)g(than)g(exp)r
497516 > (erimen)n(t,)g(while)g(SSD)h(starts)e(o\013)h(slo)n(w)n(er)2042
497517 > 4476 y(than)39 b(exp)r(erimen)n(t)g(and)g(crosses)e(to)i(merge)f(with)i
497518 > (SSD/E)e(at)2042 4572 y(high)24 b(temp)r(eratures.)35
497519 > b(Both)24 b(mo)r(dels)g(follo)n(w)g(the)h(exp)r(erimen)n(tal)2042
497520 > 4667 y(trend)18 b(w)n(ell,)j(but)e(di\013use)g(to)r(o)f(rapidly)g(at)h
497521 > (higher)f(temp)r(eratures.)2042 4763 y(This)23 b(abnormally)f(fast)h
497522 > (di\013usion)h(is)f(caused)g(b)n(y)g(the)h(decreased)2042
497523 > 4858 y(system)h(densit)n(y)-7 b(.)37 b(Since)26 b(the)g(densities)g(of)
497524 > g(SSD/E)f(don't)i(devi-)2042 4954 y(ate)h(as)f(m)n(uc)n(h)h(from)g(exp)
497525 > r(erimen)n(t)g(as)f(those)h(of)g(SSD,)h(it)f(follo)n(ws)2042
497526 > 5049 y(the)f(exp)r(erimen)n(tal)g(trend)g(more)f(closely)-7
497527 > b(.)36 b(This)27 b(observ)-5 b(ation)25 b(is)2042 5145
497528 > y(bac)n(k)n(ed)35 b(up)i(b)n(y)g(lo)r(oking)e(at)i(the)g(lo)n(w)n(er)e
497529 > (plot.)64 b(The)37 b(di\013usion)2042 5240 y(constan)n(ts)27
497530 > b(for)h(SSD/E)g(trac)n(k)g(with)h(the)g(exp)r(erimen)n(tal)f(v)-5
497531 > b(alues)2042 5336 y(while)28 b(SSD)g(deviates)f(on)h(the)g(lo)n(w)f
497532 > (side)g(of)h(the)g(trend)g(with)g(in-)p eop
497533   %%Page: 9 9
497534   9 8 bop 4043 -299 a Fu(9)-133 2393 y @beginspecial 63
497535   @llx 92 @lly 515 @urx 668 @ury 2409 @rwi @setspecial
# Line 514405 | Line 506026 | cleartomark countdictstack exch sub { end } repeat res
506026   %%EOF
506027  
506028   %%EndDocument
506029 < @endspecial -150 2563 a Fr(FIG.)42 b(11:)66 b(Plots)42
506029 > @endspecial -150 2563 a Fr(FIG.)42 b(10:)66 b(Plots)42
506030   b(of)g(the)f(di\013usion)g(constan)n(ts)g(calculated)h(from)-150
506031   2650 y(SSD/E)36 b(and)g(SSD,)f(b)r(oth)h(without)h(a)f(reaction)i
506032   (\014eld)e(along)h(with)-150 2737 y(exp)r(erimen)n(tal)e(results)i
# Line 514415 | Line 506036 | b(calculated)h(densities.)-150 3279 y Fu(without)41 b(
506036   (calculated)h(from)f(the)f(NPT)h(sim)n(ula-)-150 2912
506037   y(tions)f(at)h(a)f(pressure)g(of)h(1)f(atm,)h(while)g(the)f(lo)n(w)n
506038   (er)h(plot)f(is)h(at)f(the)-150 2999 y(exp)r(erimen)n(tally)25
506039 < b(calculated)h(densities.)-150 3279 y Fu(without)41 b(an)f(activ)n(e)g
506040 < (reaction)f(\014eld,)44 b(b)r(oth)d(at)g(the)f(densities)-150
506041 < 3374 y(calculated)24 b(at)g(1)h(atm)f(and)h(at)f(the)h(exp)r(erimen)n
506042 < (tally)f(calculated)-150 3470 y(densities)i(for)f(sup)r(er-co)r(oled)f
514422 < (and)h(liquid)h(w)n(ater.)36 b(In)25 b(the)h(upp)r(er)-150
514423 < 3565 y(plot,)35 b(the)f(di\013usion)g(constan)n(t)f(for)g(SSD/E)g(is)h
514424 < (consisten)n(tly)f(a)-150 3661 y(little)28 b(faster)e(than)h(exp)r
514425 < (erimen)n(t,)g(while)g(SSD)h(starts)e(o\013)h(slo)n(w)n(er)-150
514426 < 3756 y(than)39 b(exp)r(erimen)n(t)g(and)g(crosses)e(to)i(merge)f(with)i
514427 < (SSD/E)f(at)-150 3852 y(high)24 b(temp)r(eratures.)35
514428 < b(Both)24 b(mo)r(dels)h(follo)n(w)e(the)i(exp)r(erimen)n(tal)-150
514429 < 3947 y(trend)19 b(w)n(ell,)h(but)f(di\013use)g(to)r(o)g(rapidly)f(at)g
514430 < (higher)g(temp)r(eratures.)-150 4043 y(This)23 b(abnormally)f(fast)h
514431 < (di\013usion)h(is)f(caused)g(b)n(y)g(the)h(decreased)-150
514432 < 4138 y(system)i(densit)n(y)-7 b(.)36 b(Since)26 b(the)g(densities)g(of)
514433 < g(SSD/E)g(don't)g(devi-)-150 4234 y(ate)i(as)f(m)n(uc)n(h)h(from)g(exp)
514434 < r(erimen)n(t)g(as)f(those)h(of)g(SSD,)h(it)f(follo)n(ws)-150
514435 < 4329 y(the)f(exp)r(erimen)n(tal)g(trend)g(more)f(closely)-7
514436 < b(.)36 b(This)27 b(observ)-5 b(ation)26 b(is)-150 4425
514437 < y(bac)n(k)n(ed)36 b(up)h(b)n(y)f(lo)r(oking)g(at)g(the)h(lo)n(w)n(er)e
514438 < (plot.)64 b(The)37 b(di\013usion)-150 4520 y(constan)n(ts)27
514439 < b(for)h(SSD/E)h(trac)n(k)e(with)i(the)g(exp)r(erimen)n(tal)f(v)-5
514440 < b(alues)-150 4616 y(while)28 b(SSD)g(deviates)g(on)f(the)h(lo)n(w)f
514441 < (side)h(of)f(the)i(trend)e(with)h(in-)-150 4711 y(creasing)d(temp)r
514442 < (erature.)36 b(This)27 b(is)g(again)f(a)g(pro)r(duct)h(of)g(SSD/E)-150
514443 < 4807 y(ha)n(ving)g(densities)i(closer)e(to)h(exp)r(erimen)n(t,)h(and)f
514444 < (not)h(deviating)-150 4902 y(to)22 b(lo)n(w)n(er)e(densities)j(with)f
506039 > b(calculated)h(densities.)-150 3279 y Fu(creasing)f(temp)r(erature.)36
506040 > b(This)27 b(is)g(again)f(a)g(pro)r(duct)h(of)g(SSD/E)-150
506041 > 3374 y(ha)n(ving)g(densities)i(closer)e(to)h(exp)r(erimen)n(t,)h(and)f
506042 > (not)h(deviating)-150 3470 y(to)22 b(lo)n(w)n(er)e(densities)j(with)f
506043   (increasing)f(temp)r(erature)h(as)f(rapidly)-7 b(.)-67
506044 < 4997 y(In)36 b(\014gure)f(12,)i(the)f(di\013usion)g(constan)n(ts)f(for)
506045 < g(SSD/RF)h(are)-150 5093 y(compared)k(with)j(SSD)f(with)g(an)g(activ)n
506046 < (e)e(reaction)h(\014eld.)79 b(In)-150 5188 y(the)39 b(upp)r(er)g(plot,)
506044 > 3565 y(In)36 b(\014gure)f(11,)i(the)f(di\013usion)g(constan)n(ts)f(for)
506045 > g(SSD/RF)h(are)-150 3661 y(compared)k(with)j(SSD)f(with)g(an)g(activ)n
506046 > (e)e(reaction)h(\014eld.)79 b(In)-150 3756 y(the)39 b(upp)r(er)g(plot,)
506047   j(SSD/RF)e(trac)n(ks)d(with)j(the)f(exp)r(erimen)n(tal)-150
506048 < 5284 y(results)27 b(incredibly)g(w)n(ell,)g(iden)n(tical)h(within)g
506049 < (error)d(throughout)-150 5379 y(the)f(temp)r(erature)f(range)g(and)g
506050 < (only)h(sho)n(wing)e(a)i(sligh)n(t)f(increas-)2059 2393
506051 < y @beginspecial 63 @llx 92 @lly 515 @urx 668 @ury 2409
506052 < @rwi @setspecial
506048 > 3852 y(results)27 b(incredibly)g(w)n(ell,)g(iden)n(tical)h(within)g
506049 > (error)d(throughout)-150 3947 y(the)f(temp)r(erature)f(range)g(and)g
506050 > (only)h(sho)n(wing)e(a)i(sligh)n(t)f(increas-)-150 4043
506051 > y(ing)g(trend)g(at)g(higher)g(temp)r(eratures.)34 b(SSD)24
506052 > b(also)e(trac)n(ks)g(exp)r(er-)-150 4138 y(imen)n(t)35
506053 > b(w)n(ell,)h(only)e(it)h(tends)g(to)f(di\013use)h(a)f(little)i(more)d
506054 > (slo)n(wly)-150 4234 y(at)f(lo)n(w)g(temp)r(eratures)g(and)g(deviates)g
506055 > (to)g(di\013use)h(to)r(o)f(rapidly)-150 4329 y(at)26
506056 > b(high)h(temp)r(eratures.)35 b(As)27 b(w)n(as)e(stated)i(in)f(the)h
506057 > (SSD/E)f(com-)-150 4425 y(parisons,)f(this)i(deviation)f(a)n(w)n(a)n(y)
506058 > f(from)h(the)i(ideal)e(trend)h(is)f(due)-150 4520 y(to)38
506059 > b(a)g(rapid)g(decrease)f(in)i(densit)n(y)f(at)g(higher)g(temp)r
506060 > (eratures.)-150 4616 y(SSD/RF)k(do)r(esn't)f(su\013er)h(from)f(this)g
506061 > (problem)g(as)g(m)n(uc)n(h)g(as)-150 4711 y(SSD,)36 b(b)r(ecause)f(the)
506062 > g(calculated)g(densities)g(are)f(more)g(true)i(to)-150
506063 > 4807 y(exp)r(erimen)n(t.)42 b(This)30 b(is)f(again)f(emphasized)h(in)h
506064 > (the)f(lo)n(w)n(er)f(plot,)-150 4902 y(where)d(SSD/RF)g(trac)n(ks)f
506065 > (the)h(exp)r(erimen)n(tal)g(di\013usion)g(exactly)-150
506066 > 4997 y(while)20 b(SSD's)g(di\013usion)g(constan)n(ts)f(are)f(sligh)n
506067 > (tly)h(to)r(o)h(lo)n(w)f(due)h(to)-150 5093 y(its)26
506068 > b(need)g(for)g(a)f(lo)n(w)n(er)g(densit)n(y)g(at)h(the)h(sp)r
506069 > (eci\014ed)f(temp)r(erature.)2059 2393 y @beginspecial
506070 > 63 @llx 92 @lly 515 @urx 668 @ury 2409 @rwi @setspecial
506071   %%BeginDocument: ssdrfdiffuse.epsi
506072   %!PS-Adobe-2.0 EPSF-1.2
506073   %%Title: ssdrfdiffuse.ps
# Line 522934 | Line 514550 | cleartomark countdictstack exch sub { end } repeat res
514550   %%EOF
514551  
514552   %%EndDocument
514553 < @endspecial 2042 2563 a Fr(FIG.)41 b(12:)66 b(Plots)43
514553 > @endspecial 2042 2563 a Fr(FIG.)41 b(11:)66 b(Plots)43
514554   b(of)f(the)e(di\013usion)i(constan)n(ts)f(calculated)h(from)2042
514555   2650 y(SSD/RF)31 b(and)i(SSD,)e(b)r(oth)i(with)g(an)f(activ)n(e)h
514556   (reaction)h(\014eld)e(along)2042 2737 y(with)38 b(exp)r(erimen)n(tal)e
# Line 522943 | Line 514559 | h(1)g(atm,)f(while)h(the)f(lo)n(w)n(er)h(plot)f(is)h(a
514559   2824 y(The)27 b(upp)r(er)g(plot)g(is)h(at)f(densities)h(calculated)g
514560   (from)f(the)g(NPT)g(sim-)2042 2912 y(ulations)f(at)f(a)h(pressure)f(of)
514561   h(1)g(atm,)f(while)h(the)f(lo)n(w)n(er)h(plot)f(is)h(at)f(the)2042
514562 < 2999 y(exp)r(erimen)n(tally)g(calculated)h(densities.)2042
514563 < 3279 y Fu(ing)d(trend)g(at)g(higher)f(temp)r(eratures.)35
514564 < b(SSD)24 b(also)e(trac)n(ks)g(exp)r(er-)2042 3374 y(imen)n(t)35
514565 < b(w)n(ell,)h(only)e(it)h(tends)g(to)f(di\013use)h(a)f(little)i(more)d
514566 < (slo)n(wly)2042 3470 y(at)f(lo)n(w)g(temp)r(eratures)g(and)g(deviates)g
514567 < (to)g(di\013use)h(to)r(o)f(rapidly)2042 3565 y(at)26
514568 < b(high)g(temp)r(eratures.)36 b(As)27 b(w)n(as)e(stated)h(in)h(the)g
514569 < (SSD/E)f(com-)2042 3661 y(parisons,)f(this)i(deviation)f(a)n(w)n(a)n(y)
514570 < f(from)h(the)h(ideal)g(trend)f(is)h(due)2042 3756 y(to)38
514571 < b(a)g(rapid)g(decrease)f(in)i(densit)n(y)f(at)g(higher)g(temp)r
514572 < (eratures.)2042 3852 y(SSD/RF)k(do)r(esn't)f(su\013er)g(from)g(this)h
514573 < (problem)f(as)g(m)n(uc)n(h)g(as)2042 3947 y(SSD,)36 b(b)r(ecause)e(the)
514574 < i(calculated)f(densities)g(are)f(more)g(true)h(to)2042
514575 < 4043 y(exp)r(erimen)n(t.)42 b(This)29 b(is)h(again)e(emphasized)h(in)g
514576 < (the)h(lo)n(w)n(er)e(plot,)2042 4138 y(where)c(SSD/RF)i(trac)n(ks)e
514577 < (the)h(exp)r(erimen)n(tal)g(di\013usion)g(exactly)2042
514578 < 4234 y(while)20 b(SSD's)g(di\013usion)g(constan)n(ts)e(are)h(sligh)n
514579 < (tly)g(to)r(o)g(lo)n(w)g(due)h(to)2042 4329 y(its)26
514580 < b(need)g(for)f(a)h(lo)n(w)n(er)e(densit)n(y)i(at)g(the)g(sp)r
514581 < (eci\014ed)h(temp)r(erature.)2508 4605 y Fo(E.)88 b(Additional)32
514582 < b(Observ)-5 b(ations)2125 4819 y Fu(While)45 b(p)r(erforming)f(the)g
514583 < (melting)h(sequences)f(of)g(SSD/E,)2042 4914 y(some)29
514584 < b(in)n(teresting)g(observ)-5 b(ations)28 b(w)n(ere)h(made.)43
514585 < b(After)30 b(melting)2042 5010 y(at)k(230)f(K,)h(t)n(w)n(o)g(of)g(the)h
514586 < (systems)f(underw)n(en)n(t)g(crystallization)2042 5105
514587 < y(ev)n(en)n(ts)23 b(near)h(245)f(K.)h(As)g(the)h(heating)f(pro)r(cess)f
514588 < (con)n(tin)n(ued,)i(the)2042 5201 y(t)n(w)n(o)c(systems)g(remained)g
514589 < (crystalline)f(un)n(til)i(\014nally)f(melting)h(b)r(e-)2042
514590 < 5296 y(t)n(w)n(een)32 b(320)g(and)g(330)f(K.)i(These)f(sim)n(ulations)g
514591 < (w)n(ere)g(excluded)2042 5392 y(from)k(the)g(data)g(set)g(sho)n(wn)f
514592 < (in)h(\014gure)g(9)g(and)f(replaced)h(with)p eop
514562 > 2999 y(exp)r(erimen)n(tally)g(calculated)h(densities.)2508
514563 > 3279 y Fo(E.)88 b(Additional)32 b(Observ)-5 b(ations)2125
514564 > 3493 y Fu(While)45 b(p)r(erforming)f(the)g(melting)h(sequences)f(of)g
514565 > (SSD/E,)2042 3588 y(some)29 b(in)n(teresting)g(observ)-5
514566 > b(ations)28 b(w)n(ere)h(made.)43 b(After)30 b(melting)2042
514567 > 3683 y(at)k(230)f(K,)h(t)n(w)n(o)g(of)g(the)h(systems)f(underw)n(en)n
514568 > (t)g(crystallization)2042 3779 y(ev)n(en)n(ts)23 b(near)h(245)f(K.)h
514569 > (As)g(the)h(heating)f(pro)r(cess)f(con)n(tin)n(ued,)i(the)2042
514570 > 3874 y(t)n(w)n(o)c(systems)g(remained)g(crystalline)f(un)n(til)i
514571 > (\014nally)f(melting)h(b)r(e-)2042 3970 y(t)n(w)n(een)32
514572 > b(320)g(and)g(330)f(K.)i(These)f(sim)n(ulations)g(w)n(ere)g(excluded)
514573 > 2042 4065 y(from)k(the)g(data)g(set)g(sho)n(wn)f(in)h(\014gure)g(8)g
514574 > (and)f(replaced)h(with)2042 4161 y(t)n(w)n(o)f(additional)g(melting)g
514575 > (sequences)g(that)h(did)g(not)f(undergo)2042 4256 y(this)j(anomalous)e
514576 > (phase)h(transition,)i(while)f(this)g(crystalliza-)2042
514577 > 4352 y(tion)27 b(ev)n(en)n(t)h(w)n(as)e(in)n(v)n(estigated)g
514578 > (separately)-7 b(.)2125 4447 y(The)21 b(\014nal)g(con\014gurations)f
514579 > (of)h(these)g(t)n(w)n(o)g(melting)g(sequences)2042 4543
514580 > y(sho)n(ws)d(an)h(expanded)f(zeolite-lik)n(e)g(crystal)h(structure)f
514581 > (that)i(do)r(es)2042 4638 y(not)39 b(corresp)r(ond)e(to)i(an)n(y)f(kno)
514582 > n(wn)h(form)f(of)h(ice.)71 b(F)-7 b(or)39 b(con)n(v)n(e-)2042
514583 > 4734 y(nience)23 b(and)h(to)f(help)h(distinguish)g(it)g(from)f(the)h
514584 > (exp)r(erimen)n(tally)2042 4829 y(observ)n(ed)32 b(forms)i(of)g(ice,)h
514585 > (this)g(crystal)e(structure)g(will)i(hence-)2042 4925
514586 > y(forth)29 b(b)r(e)h(referred)e(to)h(as)g(ice-zero)f(\(ice)i(0\).)42
514587 > b(The)29 b(crystallinit)n(y)2042 5020 y(w)n(as)d(extensiv)n(e)g(enough)
514588 > g(than)h(a)f(near)g(ideal)h(crystal)f(structure)2042
514589 > 5116 y(could)31 b(b)r(e)h(obtained.)49 b(Figure)31 b(12)f(sho)n(ws)h
514590 > (the)h(rep)r(eating)e(crys-)2042 5211 y(tal)37 b(structure)f(of)h(a)g
514591 > (t)n(ypical)f(crystal)g(at)h(5)g(K.)f(The)i(unit)f(cell)2042
514592 > 5307 y(con)n(tains)27 b(eigh)n(t)i(molecules,)f(and)g(\014gure)g(13)g
514593 > (sho)n(ws)f(a)h(unit)h(cell)2042 5402 y(built)34 b(from)g(the)g(w)n
514594 > (ater)f(particle)g(cen)n(ter)h(of)g(masses)e(that)j(can)p
514595 > eop
514596   %%Page: 10 10
514597   10 9 bop 4001 -299 a Fu(10)-133 1529 y @beginspecial
514598   0 @llx 0 @lly 1169 @urx 987 @ury 2409 @rwi @setspecial
# Line 627918 | Line 619537 | showpage
619537   %%EOF
619538  
619539   %%EndDocument
619540 < @endspecial -150 1699 a Fr(FIG.)26 b(13:)35 b(Crystal)26
619540 > @endspecial -150 1699 a Fr(FIG.)26 b(12:)35 b(Crystal)26
619541   b(structure)e(of)i(an)g(ice)f(0)h(lattice)g(sho)n(wn)g(from)f(the)-150
619542 < 1787 y(\(001\))i(face.)-150 2071 y Fu(t)n(w)n(o)35 b(additional)g
619543 < (melting)g(sequences)g(that)h(did)g(not)g(undergo)-150
627925 < 2166 y(this)i(anomalous)e(phase)h(transition,)j(while)d(this)h
627926 < (crystalliza-)-150 2262 y(tion)28 b(ev)n(en)n(t)f(w)n(as)f(in)n(v)n
627927 < (estigated)h(separately)-7 b(.)-67 2357 y(The)21 b(\014nal)g
627928 < (con\014gurations)f(of)h(these)g(t)n(w)n(o)g(melting)g(sequences)-150
627929 < 2453 y(sho)n(ws)d(an)h(expanded)g(zeolite-lik)n(e)f(crystal)g
627930 < (structure)g(that)i(do)r(es)-150 2548 y(not)39 b(corresp)r(ond)e(to)i
627931 < (an)n(y)g(kno)n(wn)f(form)h(of)g(ice.)71 b(F)-7 b(or)38
627932 < b(con)n(v)n(e-)-150 2644 y(nience)24 b(and)f(to)g(help)h(distinguish)g
627933 < (it)g(from)f(the)h(exp)r(erimen)n(tally)-150 2739 y(observ)n(ed)32
627934 < b(forms)i(of)g(ice,)i(this)e(crystal)f(structure)g(will)i(hence-)-150
627935 < 2835 y(forth)29 b(b)r(e)h(referred)e(to)i(as)e(ice-zero)g(\(ice)i(0\).)
627936 < 42 b(The)29 b(crystallinit)n(y)-150 2930 y(w)n(as)d(extensiv)n(e)g
627937 < (enough)g(than)h(a)g(near)f(ideal)g(crystal)g(structure)-150
627938 < 3026 y(could)31 b(b)r(e)h(obtained.)49 b(Figure)31 b(13)f(sho)n(ws)h
627939 < (the)h(rep)r(eating)f(crys-)-150 3121 y(tal)37 b(structure)f(of)h(a)g
627940 < (t)n(ypical)g(crystal)e(at)i(5)g(K.)g(The)g(unit)g(cell)-150
627941 < 3217 y(con)n(tains)28 b(eigh)n(t)g(molecules,)g(and)g(\014gure)g(14)g
627942 < (sho)n(ws)f(a)h(unit)h(cell)-150 3312 y(built)35 b(from)e(the)h(w)n
627943 < (ater)f(particle)h(cen)n(ter)f(of)h(masses)f(that)h(can)-150
627944 < 3408 y(b)r(e)i(used)f(to)g(construct)g(a)g(rep)r(eating)f(lattice,)j
627945 < (similar)e(to)g(\014g-)-150 3503 y(ure)28 b(13.)38 b(Eac)n(h)27
627946 < b(molecule)h(is)h(h)n(ydrogen)d(b)r(onded)j(to)f(four)g(other)-150
627947 < 3598 y(w)n(ater)c(molecules;)h(ho)n(w)n(ev)n(er,)e(the)i(h)n(ydrogen)e
627948 < (b)r(onds)i(are)e(\015exed)-150 3694 y(rather)31 b(than)h(p)r(erfectly)
627949 < g(straigh)n(t.)49 b(This)32 b(results)g(in)g(a)g(sk)n(ew)n(ed)-150
627950 < 3789 y(tetrahedral)c(geometry)g(ab)r(out)h(the)h(cen)n(tral)e
627951 < (molecule.)42 b(Lo)r(ok-)-150 3885 y(ing)36 b(bac)n(k)f(at)h(\014gure)g
627952 < (8,)i(it)e(is)h(easy)e(to)h(see)g(ho)n(w)f(these)h(\015exed)-150
627953 < 3980 y(h)n(ydrogen)20 b(b)r(onds)i(are)f(allo)n(w)n(ed)f(in)i(that)g
627954 < (the)g(attractiv)n(e)f(regions)-150 4076 y(are)30 b(conical)f(in)i
627955 < (shap)r(e,)g(with)g(the)g(greatest)f(attraction)f(in)i(the)-150
627956 < 4171 y(cen)n(tral)e(region.)44 b(Though)30 b(not)g(ideal,)h(these)g
627957 < (\015exed)f(h)n(ydrogen)-150 4267 y(b)r(onds)e(are)f(fa)n(v)n(orable)f
627958 < (enough)h(to)h(stabilize)g(an)g(en)n(tire)g(crystal)-150
627959 < 4362 y(generated)22 b(around)h(them.)36 b(In)24 b(fact,)h(the)f(imp)r
627960 < (erfect)g(ice)f(0)h(crys-)-150 4458 y(tals)e(w)n(ere)g(so)f(stable)h
627961 < (that)h(they)g(melted)g(at)f(greater)f(than)h(ro)r(om)-150
627962 < 4553 y(temp)r(erature.)-67 4649 y(The)29 b(initial)g(sim)n(ulations)e
627963 < (indicated)i(that)g(ice)f(0)h(is)f(the)h(pre-)-150 4744
627964 < y(ferred)37 b(ice)g(structure)f(for)h(at)g(least)g(SSD/E.)g(T)-7
627965 < b(o)37 b(v)n(erify)f(this,)-150 4840 y(a)h(comparison)f(w)n(as)g(made)i
627966 < (b)r(et)n(w)n(een)f(near)g(ideal)g(crystals)f(of)-150
627967 < 4935 y(ice)24 b Fj(I)7 4947 y Fi(h)50 4935 y Fu(,)h(ice)f
627968 < Fj(I)255 4947 y Fi(c)289 4935 y Fu(,)h(and)f(ice)f(0)h(at)g(constan)n
627969 < (t)f(pressure)f(with)j(SSD/E,)-150 5031 y(SSD/RF,)e(and)g(SSD.)g(Near)f
627970 < (ideal)h(v)n(ersions)d(of)j(the)g(three)f(t)n(yp)r(es)-150
627971 < 5126 y(of)32 b(crystals)f(w)n(ere)g(co)r(oled)g(to)64
627972 < b(1)31 b(K,)h(and)g(the)g(p)r(oten)n(tial)g(ener-)-150
627973 < 5222 y(gies)25 b(of)g(eac)n(h)g(w)n(ere)f(compared)h(using)g(all)g
627974 < (three)g(w)n(ater)f(mo)r(dels.)-150 5317 y(With)d(ev)n(ery)d(w)n(ater)h
627975 < (mo)r(del,)i(ice)f(0)f(turned)h(out)g(to)g(ha)n(v)n(e)e(the)i(lo)n(w-)
627976 < -150 5412 y(est)31 b(p)r(oten)n(tial)h(energy:)43 b(5\045)31
627977 < b(lo)n(w)n(er)f(than)h Fj(I)1239 5424 y Fi(h)1314 5412
627978 < y Fu(with)h(SSD,)g(6.5\045)2295 1131 y @beginspecial
627979 < 0 @llx 0 @lly 232 @urx 196 @ury 1842 @rwi @setspecial
619542 > 1787 y(\(001\))i(face.)103 3219 y @beginspecial 0 @llx
619543 > 0 @lly 232 @urx 196 @ury 1842 @rwi @setspecial
619544   %%BeginDocument: ice0cell.eps
619545   %!PS-Adobe-3.1 EPSF-3.0
619546   %%Title: ice0cell.eps
# Line 635767 | Line 627331 | userdict /ai9_skip_data get exec
627331   %AI9_PrivateDataEnd
627332  
627333   %%EndDocument
627334 < @endspecial 2042 1301 a Fr(FIG.)c(14:)39 b(Simple)27
627335 < b(unit)h(cell)g(for)h(constructing)f(ice)h(0.)41 b(In)27
627336 < b(this)h(cell,)2042 1389 y Fq(c)e Fr(is)g(equal)g(to)f(0)p
627337 < Fq(:)p Fr(4714)20 b Fa(\002)d Fq(a)p Fr(,)25 b(and)h(a)g(t)n(ypical)f
627338 < (v)l(alue)h(for)g Fq(a)f Fr(is)i(8.25)3956 1376 y(\027)3956
627339 < 1389 y(A.)2042 1669 y Fu(lo)n(w)n(er)g(with)h(SSD/E,)h(and)f(7.5\045)f
627340 < (lo)n(w)n(er)g(with)i(SSD/RF.)g(In)f(all)2042 1764 y(three)35
627341 < b(of)g(these)h(w)n(ater)e(mo)r(dels,)k(ice)d Fj(I)3302
627342 < 1776 y Fi(c)3372 1764 y Fu(w)n(as)g(observ)n(ed)e(to)j(b)r(e)2042
627343 < 1860 y(2\045)23 b(less)g(stable)h(than)g(ice)f Fj(I)2908
627344 < 1872 y Fi(h)2952 1860 y Fu(.)36 b(In)23 b(addition)h(to)g(ha)n(ving)e
627345 < (the)i(lo)n(w-)2042 1955 y(est)j(p)r(oten)n(tial)h(energy)-7
627334 > @endspecial -150 3389 a(FIG.)h(13:)40 b(Simple)27 b(unit)g(cell)i(for)
627335 > f(constructing)g(ice)h(0.)41 b(In)27 b(this)h(cell,)-150
627336 > 3476 y Fq(c)e Fr(is)g(equal)g(to)g(0)p Fq(:)p Fr(4714)19
627337 > b Fa(\002)e Fq(a)p Fr(,)25 b(and)h(a)g(t)n(ypical)f(v)l(alue)h(for)g
627338 > Fq(a)g Fr(is)g(8.25)1764 3463 y(\027)1764 3476 y(A.)-150
627339 > 3756 y Fu(b)r(e)36 b(used)f(to)g(construct)g(a)g(rep)r(eating)f
627340 > (lattice,)j(similar)e(to)g(\014g-)-150 3852 y(ure)28
627341 > b(12.)38 b(Eac)n(h)27 b(molecule)h(is)h(h)n(ydrogen)d(b)r(onded)j(to)f
627342 > (four)g(other)-150 3947 y(w)n(ater)c(molecules;)h(ho)n(w)n(ev)n(er,)e
627343 > (the)i(h)n(ydrogen)e(b)r(onds)i(are)e(\015exed)-150 4043
627344 > y(rather)31 b(than)h(p)r(erfectly)g(straigh)n(t.)49 b(This)32
627345 > b(results)g(in)g(a)g(sk)n(ew)n(ed)-150 4138 y(tetrahedral)c(geometry)g
627346 > (ab)r(out)h(the)h(cen)n(tral)e(molecule.)42 b(Lo)r(ok-)-150
627347 > 4234 y(ing)36 b(bac)n(k)f(at)h(\014gure)g(7,)i(it)e(is)h(easy)e(to)h
627348 > (see)g(ho)n(w)f(these)h(\015exed)-150 4329 y(h)n(ydrogen)20
627349 > b(b)r(onds)i(are)f(allo)n(w)n(ed)f(in)i(that)g(the)g(attractiv)n(e)f
627350 > (regions)-150 4425 y(are)30 b(conical)f(in)i(shap)r(e,)g(with)g(the)g
627351 > (greatest)f(attraction)f(in)i(the)-150 4520 y(cen)n(tral)e(region.)44
627352 > b(Though)30 b(not)g(ideal,)h(these)g(\015exed)f(h)n(ydrogen)-150
627353 > 4615 y(b)r(onds)e(are)f(fa)n(v)n(orable)f(enough)h(to)h(stabilize)g(an)
627354 > g(en)n(tire)g(crystal)-150 4711 y(generated)22 b(around)h(them.)36
627355 > b(In)24 b(fact,)h(the)f(imp)r(erfect)g(ice)f(0)h(crys-)-150
627356 > 4806 y(tals)e(w)n(ere)g(so)f(stable)h(that)h(they)g(melted)g(at)f
627357 > (greater)f(than)h(ro)r(om)-150 4902 y(temp)r(erature.)-67
627358 > 4997 y(The)29 b(initial)g(sim)n(ulations)e(indicated)i(that)g(ice)f(0)h
627359 > (is)f(the)h(pre-)-150 5093 y(ferred)37 b(ice)g(structure)f(for)h(at)g
627360 > (least)g(SSD/E.)g(T)-7 b(o)37 b(v)n(erify)f(this,)-150
627361 > 5188 y(a)h(comparison)f(w)n(as)g(made)i(b)r(et)n(w)n(een)f(near)g
627362 > (ideal)g(crystals)f(of)-150 5284 y(ice)24 b Fj(I)7 5296
627363 > y Fi(h)50 5284 y Fu(,)h(ice)f Fj(I)255 5296 y Fi(c)289
627364 > 5284 y Fu(,)h(and)f(ice)f(0)h(at)g(constan)n(t)f(pressure)f(with)j
627365 > (SSD/E,)-150 5379 y(SSD/RF,)e(and)g(SSD.)g(Near)f(ideal)h(v)n(ersions)d
627366 > (of)j(the)g(three)f(t)n(yp)r(es)2042 -83 y(of)32 b(crystals)e(w)n(ere)h
627367 > (co)r(oled)h(to)64 b(1)31 b(K,)h(and)g(the)g(p)r(oten)n(tial)g(ener-)
627368 > 2042 12 y(gies)25 b(of)g(eac)n(h)g(w)n(ere)f(compared)g(using)h(all)h
627369 > (three)f(w)n(ater)f(mo)r(dels.)2042 108 y(With)c(ev)n(ery)f(w)n(ater)g
627370 > (mo)r(del,)i(ice)f(0)f(turned)h(out)g(to)g(ha)n(v)n(e)e(the)i(lo)n(w-)
627371 > 2042 203 y(est)31 b(p)r(oten)n(tial)g(energy:)44 b(5\045)31
627372 > b(lo)n(w)n(er)e(than)j Fj(I)3431 215 y Fi(h)3506 203
627373 > y Fu(with)g(SSD,)g(6.5\045)2042 299 y(lo)n(w)n(er)27
627374 > b(with)h(SSD/E,)h(and)f(7.5\045)f(lo)n(w)n(er)g(with)i(SSD/RF.)g(In)f
627375 > (all)2042 394 y(three)35 b(of)g(these)h(w)n(ater)e(mo)r(dels,)k(ice)d
627376 > Fj(I)3302 406 y Fi(c)3372 394 y Fu(w)n(as)g(observ)n(ed)e(to)j(b)r(e)
627377 > 2042 490 y(2\045)23 b(less)g(stable)h(than)g(ice)f Fj(I)2908
627378 > 502 y Fi(h)2952 490 y Fu(.)36 b(In)23 b(addition)h(to)g(ha)n(ving)e
627379 > (the)i(lo)n(w-)2042 585 y(est)j(p)r(oten)n(tial)h(energy)-7
627380   b(,)26 b(ice)i(0)f(w)n(as)g(the)h(most)f(expanded)g(of)h(the)2042
627381 < 2051 y(three)i(ice)h(crystals,)60 b(5\045)31 b(less)f(dense)g(than)h
627382 < (ice)g Fj(I)3633 2063 y Fi(h)3707 2051 y Fu(with)g(all)f(of)2042
627383 < 2146 y(the)h(w)n(ater)f(mo)r(dels.)47 b(In)31 b(all)g(three)g(w)n(ater)
627384 < f(mo)r(dels,)i(ice)f Fj(I)3887 2158 y Fi(c)3952 2146
627385 < y Fu(w)n(as)2042 2242 y(observ)n(ed)26 b(to)h(b)r(e)56
627386 < b(2\045)27 b(more)g(dense)h(than)f(ice)h Fj(I)3553 2254
627387 < y Fi(h)3596 2242 y Fu(.)2125 2337 y(In)c(addition)g(to)g(the)h(lo)n(w)e
627388 < (temp)r(erature)h(comparisons,)f(melt-)2042 2433 y(ing)38
627389 < b(sequences)g(w)n(ere)f(p)r(erformed)i(with)g(ice)f(0)g(as)g(the)h
627390 < (initial)2042 2528 y(con\014guration)19 b(using)h(SSD/E,)h(SSD/RF,)g
627391 < (and)g(SSD)g(b)r(oth)h(with)2042 2624 y(and)k(without)h(a)f(reaction)f
627392 < (\014eld.)36 b(The)27 b(melting)f(transitions)g(for)2042
627393 < 2719 y(b)r(oth)20 b(SSD/E)g(and)f(SSD)i(without)f(a)g(reaction)e
627394 < (\014eld)j(o)r(ccurred)d(at)2042 2814 y(temp)r(erature)29
627395 < b(in)g(excess)g(of)g(375)f(K.)h(SSD/RF)h(and)g(SSD)g(with)2042
627396 < 2910 y(a)c(reaction)f(\014eld)i(had)f(more)g(reasonable)e(melting)j
627397 < (transitions,)2042 3005 y(do)n(wn)h(near)f(325)g(K.)h(These)g(melting)h
627398 < (p)r(oin)n(t)g(observ)-5 b(ations)26 b(em-)2042 3101
627399 < y(phasize)34 b(ho)n(w)h(preferred)f(this)h(crystal)f(structure)h(is)g
627400 < (o)n(v)n(er)e(the)2042 3196 y(most)27 b(common)h(t)n(yp)r(es)f(of)h
627401 < (ice)g(when)g(using)f(these)h(single)f(p)r(oin)n(t)2042
627402 < 3292 y(w)n(ater)f(mo)r(dels.)2125 3387 y(Recognizing)c(that)i(the)h(ab)
627403 < r(o)n(v)n(e)d(tests)i(sho)n(w)f(ice)h(0)f(to)h(b)r(e)g(b)r(oth)2042
627404 < 3483 y(the)32 b(most)f(stable)h(and)f(lo)n(w)n(est)g(densit)n(y)g
627405 < (crystal)g(structure)g(for)2042 3578 y(these)26 b(single)g(p)r(oin)n(t)
627406 < h(w)n(ater)f(mo)r(dels,)h(it)g(is)f(in)n(teresting)g(to)g(sp)r(ec-)2042
627407 < 3674 y(ulate)c(on)g(the)g(fa)n(v)n(orabilit)n(y)e(of)i(this)h(crystal)e
627408 < (structure)g(with)i(the)2042 3769 y(di\013eren)n(t)33
627409 < b(c)n(harge)e(based)i(mo)r(dels.)53 b(As)33 b(a)f(quic)n(k)h(test,)i
627410 < (these)e(3)2042 3865 y(crystal)28 b(t)n(yp)r(es)h(w)n(ere)f(con)n(v)n
627411 < (erted)f(from)i(SSD)h(t)n(yp)r(e)f(particles)f(to)2042
627412 < 3960 y(TIP3P)h(w)n(aters)h(and)h(read)f(in)n(to)h(CHARMM.)3527
627413 < 3930 y Fn(30)3629 3960 y Fu(Iden)n(tical)f(en-)2042 4056
627414 < y(ergy)f(minimizations)i(w)n(ere)e(p)r(erformed)i(on)f(all)g(of)h
627415 < (these)f(crys-)2042 4151 y(tals)36 b(to)g(compare)e(the)j(system)f
627416 < (energies.)61 b(Again,)38 b(ice)e(0)f(w)n(as)2042 4247
627417 < y(observ)n(ed)23 b(to)i(ha)n(v)n(e)f(the)h(lo)n(w)n(est)f(total)h
627418 < (system)g(energy)-7 b(.)35 b(The)25 b(to-)2042 4342 y(tal)c(energy)e
627419 < (of)i(ice)g(0)f(w)n(as)41 b(2\045)21 b(lo)n(w)n(er)e(than)i(ice)g
627420 < Fj(I)3543 4354 y Fi(h)3586 4342 y Fu(,)h(whic)n(h)f(w)n(as)f(in)2042
627421 < 4438 y(turn)50 b(3\045)25 b(lo)n(w)n(er)e(than)i(ice)g
627422 < Fj(I)2948 4450 y Fi(c)2983 4438 y Fu(.)36 b(F)-7 b(rom)24
627423 < b(these)h(initial)h(results,)f(w)n(e)2042 4533 y(w)n(ould)g(not)h(b)r
627381 > 681 y(three)i(ice)h(crystals,)60 b(5\045)31 b(less)f(dense)g(than)h
627382 > (ice)g Fj(I)3633 693 y Fi(h)3707 681 y Fu(with)g(all)f(of)2042
627383 > 776 y(the)h(w)n(ater)f(mo)r(dels.)47 b(In)31 b(all)g(three)g(w)n(ater)f
627384 > (mo)r(dels,)i(ice)f Fj(I)3887 788 y Fi(c)3952 776 y Fu(w)n(as)2042
627385 > 872 y(observ)n(ed)26 b(to)h(b)r(e)56 b(2\045)27 b(more)g(dense)h(than)f
627386 > (ice)h Fj(I)3553 884 y Fi(h)3596 872 y Fu(.)2125 967
627387 > y(In)c(addition)g(to)g(the)h(lo)n(w)e(temp)r(erature)h(comparisons,)f
627388 > (melt-)2042 1063 y(ing)38 b(sequences)g(w)n(ere)f(p)r(erformed)i(with)g
627389 > (ice)f(0)g(as)g(the)h(initial)2042 1158 y(con\014guration)19
627390 > b(using)h(SSD/E,)h(SSD/RF,)g(and)g(SSD)g(b)r(oth)h(with)2042
627391 > 1254 y(and)k(without)h(a)f(reaction)f(\014eld.)36 b(The)27
627392 > b(melting)f(transitions)g(for)2042 1349 y(b)r(oth)20
627393 > b(SSD/E)g(and)f(SSD)i(without)f(a)g(reaction)e(\014eld)j(o)r(ccurred)d
627394 > (at)2042 1445 y(temp)r(erature)29 b(in)g(excess)g(of)g(375)f(K.)h
627395 > (SSD/RF)h(and)g(SSD)g(with)2042 1540 y(a)c(reaction)f(\014eld)i(had)f
627396 > (more)g(reasonable)e(melting)j(transitions,)2042 1636
627397 > y(do)n(wn)h(near)f(325)g(K.)h(These)g(melting)h(p)r(oin)n(t)g(observ)-5
627398 > b(ations)26 b(em-)2042 1731 y(phasize)34 b(ho)n(w)h(preferred)f(this)h
627399 > (crystal)f(structure)h(is)g(o)n(v)n(er)e(the)2042 1826
627400 > y(most)27 b(common)h(t)n(yp)r(es)f(of)h(ice)g(when)g(using)f(these)h
627401 > (single)f(p)r(oin)n(t)2042 1922 y(w)n(ater)f(mo)r(dels.)2125
627402 > 2017 y(Recognizing)c(that)i(the)h(ab)r(o)n(v)n(e)d(tests)i(sho)n(w)f
627403 > (ice)h(0)f(to)h(b)r(e)g(b)r(oth)2042 2113 y(the)32 b(most)f(stable)h
627404 > (and)f(lo)n(w)n(est)g(densit)n(y)g(crystal)g(structure)g(for)2042
627405 > 2208 y(these)26 b(single)g(p)r(oin)n(t)h(w)n(ater)f(mo)r(dels,)h(it)g
627406 > (is)f(in)n(teresting)g(to)g(sp)r(ec-)2042 2304 y(ulate)c(on)g(the)g(fa)
627407 > n(v)n(orabilit)n(y)e(of)i(this)h(crystal)e(structure)g(with)i(the)2042
627408 > 2399 y(di\013eren)n(t)33 b(c)n(harge)e(based)i(mo)r(dels.)53
627409 > b(As)33 b(a)f(quic)n(k)h(test,)i(these)e(3)2042 2495
627410 > y(crystal)28 b(t)n(yp)r(es)h(w)n(ere)f(con)n(v)n(erted)f(from)i(SSD)h
627411 > (t)n(yp)r(e)f(particles)f(to)2042 2590 y(TIP3P)h(w)n(aters)h(and)h
627412 > (read)f(in)n(to)h(CHARMM.)3527 2560 y Fn(30)3629 2590
627413 > y Fu(Iden)n(tical)f(en-)2042 2686 y(ergy)f(minimizations)i(w)n(ere)e(p)
627414 > r(erformed)i(on)f(all)g(of)h(these)f(crys-)2042 2781
627415 > y(tals)36 b(to)g(compare)e(the)j(system)f(energies.)61
627416 > b(Again,)38 b(ice)e(0)f(w)n(as)2042 2877 y(observ)n(ed)23
627417 > b(to)i(ha)n(v)n(e)f(the)h(lo)n(w)n(est)f(total)h(system)g(energy)-7
627418 > b(.)35 b(The)25 b(to-)2042 2972 y(tal)c(energy)e(of)i(ice)g(0)f(w)n(as)
627419 > 41 b(2\045)21 b(lo)n(w)n(er)e(than)i(ice)g Fj(I)3543
627420 > 2984 y Fi(h)3586 2972 y Fu(,)h(whic)n(h)f(w)n(as)f(in)2042
627421 > 3068 y(turn)50 b(3\045)25 b(lo)n(w)n(er)e(than)i(ice)g
627422 > Fj(I)2948 3080 y Fi(c)2983 3068 y Fu(.)36 b(F)-7 b(rom)24
627423 > b(these)h(initial)h(results,)f(w)n(e)2042 3163 y(w)n(ould)g(not)h(b)r
627424   (e)g(surprised)e(if)i(results)f(from)h(the)g(other)f(common)2042
627425 < 4628 y(w)n(ater)35 b(mo)r(dels)i(sho)n(w)e(ice)i(0)f(to)g(b)r(e)h(the)g
627426 < (lo)n(w)n(est)e(energy)g(crys-)2042 4724 y(tal)26 b(structure.)36
627425 > 3259 y(w)n(ater)35 b(mo)r(dels)i(sho)n(w)e(ice)i(0)f(to)g(b)r(e)h(the)g
627426 > (lo)n(w)n(est)e(energy)g(crys-)2042 3354 y(tal)26 b(structure.)36
627427   b(A)27 b(con)n(tin)n(uation)f(on)g(w)n(ork)f(studing)h(ice)h(0)f(with)
627428 < 2042 4819 y(m)n(ultip)r(oin)n(t)35 b(w)n(ater)f(mo)r(dels)h(will)g(b)r
627429 < (e)g(published)g(in)g(a)g(coming)2042 4915 y(article.)p
627430 < eop
627428 > 2042 3450 y(m)n(ultip)r(oin)n(t)35 b(w)n(ater)f(mo)r(dels)h(will)g(b)r
627429 > (e)g(published)g(in)g(a)g(coming)2042 3545 y(article.)2631
627430 > 3821 y Fo(IV.)88 b(CONCLUSIONS)2125 4035 y Fu(The)49
627431 > b(densit)n(y)g(maxim)n(um)f(and)h(temp)r(erature)g(dep)r(enden)n(t)2042
627432 > 4130 y(transp)r(ort)25 b(for)h(the)g(SSD)h(w)n(ater)e(mo)r(del,)i(b)r
627433 > (oth)f(with)h(and)f(with-)2042 4226 y(out)j(the)g(use)g(of)g(reaction)e
627434 > (\014eld,)j(w)n(ere)e(studied)h(via)g(a)f(series)g(of)2042
627435 > 4321 y(NPT)h(and)g(NVE)g(sim)n(ulations.)41 b(The)29
627436 > b(constan)n(t)g(pressure)e(sim-)2042 4417 y(ulations)34
627437 > b(of)h(the)h(melting)f(of)g(b)r(oth)g Fj(I)3264 4429
627438 > y Fi(h)3343 4417 y Fu(and)g Fj(I)3548 4429 y Fi(c)3617
627439 > 4417 y Fu(ice)g(sho)n(w)n(ed)f(a)2042 4512 y(densit)n(y)c(maxim)n(um)f
627440 > (near)h(260)e(K.)i(In)g(most)g(cases,)g(the)g(calcu-)2042
627441 > 4608 y(lated)25 b(densities)f(w)n(ere)g(signi\014can)n(tly)g(lo)n(w)n
627442 > (er)f(than)i(the)g(densities)2042 4703 y(calculated)k(in)h(sim)n
627443 > (ulations)f(of)h(other)f(w)n(ater)g(mo)r(dels.)44 b(Analy-)2042
627444 > 4799 y(sis)24 b(of)g(particle)f(di\013usion)i(sho)n(w)n(ed)e(SSD)i(to)f
627445 > (capture)g(the)g(trans-)2042 4894 y(p)r(ort)d(prop)r(erties)f(of)i(exp)
627446 > r(erimen)n(tal)f(v)n(ery)f(w)n(ell)h(in)h(b)r(oth)g(the)f(nor-)2042
627447 > 4990 y(mal)27 b(and)h(sup)r(er-co)r(oled)e(liquid)i(regimes.)37
627448 > b(In)28 b(order)e(to)i(correct)2042 5085 y(the)35 b(densit)n(y)g(b)r
627449 > (eha)n(vior,)h(SSD)g(w)n(as)e(reparameterized)g(for)g(use)2042
627450 > 5180 y(b)r(oth)h(with)g(and)f(without)h(a)f(long-range)f(in)n
627451 > (teraction)g(correc-)2042 5276 y(tion,)39 b(SSD/RF)e(and)f(SSD/E)g
627452 > (resp)r(ectiv)n(ely)-7 b(.)63 b(In)37 b(addition)f(to)2042
627453 > 5371 y(correcting)c(the)h(abnormally)g(lo)n(w)f(densities,)j(these)f
627454 > (new)g(v)n(er-)p eop
627455   %%Page: 11 11
627456 < 11 10 bop 4001 -299 a Fu(11)439 -83 y Fo(IV.)88 b(CONCLUSIONS)-67
627457 < 131 y Fu(The)49 b(densit)n(y)g(maxim)n(um)f(and)h(temp)r(erature)g(dep)
627458 < r(enden)n(t)-150 226 y(transp)r(ort)25 b(for)h(the)g(SSD)h(w)n(ater)e
627459 < (mo)r(del,)i(b)r(oth)g(with)f(and)g(with-)-150 322 y(out)j(the)g(use)g
635838 < (of)g(reaction)f(\014eld,)h(w)n(ere)f(studied)i(via)e(a)h(series)e(of)
635839 < -150 417 y(NPT)i(and)g(NVE)g(sim)n(ulations.)41 b(The)29
635840 < b(constan)n(t)g(pressure)f(sim-)-150 512 y(ulations)34
635841 < b(of)h(the)h(melting)f(of)g(b)r(oth)g Fj(I)1072 524 y
635842 < Fi(h)1151 512 y Fu(and)g Fj(I)1356 524 y Fi(c)1425 512
635843 < y Fu(ice)g(sho)n(w)n(ed)f(a)-150 608 y(densit)n(y)c(maxim)n(um)g(near)f
635844 < (260)f(K.)i(In)g(most)g(cases,)g(the)g(calcu-)-150 703
635845 < y(lated)25 b(densities)g(w)n(ere)e(signi\014can)n(tly)h(lo)n(w)n(er)f
635846 < (than)i(the)g(densities)-150 799 y(calculated)k(in)h(sim)n(ulations)f
635847 < (of)h(other)g(w)n(ater)e(mo)r(dels.)44 b(Analy-)-150
635848 < 894 y(sis)24 b(of)g(particle)g(di\013usion)g(sho)n(w)n(ed)f(SSD)i(to)f
635849 < (capture)g(the)g(trans-)-150 990 y(p)r(ort)d(prop)r(erties)g(of)g(exp)r
635850 < (erimen)n(tal)g(v)n(ery)f(w)n(ell)h(in)h(b)r(oth)g(the)g(nor-)-150
635851 < 1085 y(mal)28 b(and)f(sup)r(er-co)r(oled)g(liquid)h(regimes.)36
635852 < b(In)28 b(order)e(to)i(correct)-150 1181 y(the)36 b(densit)n(y)f(b)r
635853 < (eha)n(vior,)h(SSD)f(w)n(as)g(reparameterized)e(for)i(use)-150
635854 < 1276 y(b)r(oth)g(with)g(and)g(without)g(a)f(long-range)e(in)n
635855 < (teraction)h(correc-)-150 1372 y(tion,)39 b(SSD/RF)e(and)f(SSD/E)h
635856 < (resp)r(ectiv)n(ely)-7 b(.)62 b(In)37 b(addition)g(to)-150
635857 < 1467 y(correcting)32 b(the)i(abnormally)e(lo)n(w)h(densities,)i(these)e
635858 < (new)h(v)n(er-)-150 1563 y(sions)28 b(w)n(ere)f(sho)n(w)h(to)g(main)n
635859 < (tain)g(or)g(impro)n(v)n(e)f(up)r(on)i(the)f(trans-)-150
635860 < 1658 y(p)r(ort)f(and)f(structural)h(features)f(of)h(the)g(original)e(w)
635861 < n(ater)h(mo)r(del,)-150 1754 y(all)19 b(while)h(main)n(taining)e(the)i
627456 > 11 10 bop 4001 -299 a Fu(11)-150 -83 y(sions)28 b(w)n(ere)f(sho)n(w)h
627457 > (to)g(main)n(tain)g(or)g(impro)n(v)n(e)f(up)r(on)i(the)f(trans-)-150
627458 > 12 y(p)r(ort)f(and)f(structural)h(features)f(of)h(the)g(original)e(w)n
627459 > (ater)h(mo)r(del,)-150 108 y(all)19 b(while)h(main)n(taining)e(the)i
627460   (fast)f(p)r(erformance)f(of)i(the)f(SSD)i(w)n(a-)-150
627461 < 1849 y(ter)30 b(mo)r(del.)46 b(This)30 b(w)n(ork)f(sho)n(ws)g(these)i
627462 < (simple)f(w)n(ater)f(mo)r(dels,)-150 1945 y(and)36 b(in)g(particular)f
627461 > 203 y(ter)30 b(mo)r(del.)46 b(This)30 b(w)n(ork)f(sho)n(ws)g(these)i
627462 > (simple)f(w)n(ater)f(mo)r(dels,)-150 299 y(and)36 b(in)g(particular)f
627463   (SSD/E)g(and)h(SSD/RF,)h(to)e(b)r(e)i(excellen)n(t)-150
627464 < 2040 y(c)n(hoices)31 b(to)g(represen)n(t)g(explicit)h(w)n(ater)e(in)i
627465 < (future)g(sim)n(ulations)-150 2136 y(of)c(bio)r(c)n(hemical)f(systems.)
627466 < 286 2412 y Fo(V.)87 b(A)n(CKNO)n(WLEDGMENTS)-67 2625
627467 < y Fu(The)29 b(authors)f(w)n(ould)g(lik)n(e)g(to)h(thank)g(the)g
627468 < (National)f(Science)-150 2721 y(F)-7 b(oundation)21 b(for)f(funding)h
627469 < (under)g(gran)n(t)e(CHE-0134881.)31 b(Com-)-150 2816
627470 < y(putation)19 b(time)h(w)n(as)e(pro)n(vided)g(b)n(y)g(the)i(Notre)e
627471 < (Dame)h(Bunc)n(h-of-)-150 2912 y(Bo)n(xes)29 b(\(B.o.B\))i(computer)g
627472 < (cluster)f(under)h(NSF)g(gran)n(t)f(DMR)-150 3007 y(00)d(79647.)570
627473 < 3283 y Fo(REFERENCES)-117 3467 y Fn(1)-46 3497 y Fu(W.)39
627464 > 394 y(c)n(hoices)31 b(to)g(represen)n(t)g(explicit)h(w)n(ater)e(in)i
627465 > (future)g(sim)n(ulations)-150 490 y(of)c(bio)r(c)n(hemical)f(systems.)
627466 > 286 766 y Fo(V.)87 b(A)n(CKNO)n(WLEDGMENTS)-67 980 y
627467 > Fu(Supp)r(ort)27 b(for)g(this)g(pro)5 b(ject)26 b(w)n(as)g(pro)n(vided)
627468 > g(b)n(y)h(the)g(National)-150 1075 y(Science)i(F)-7 b(oundation)29
627469 > b(under)g(gran)n(t)e(CHE-0134881.)38 b(Compu-)-150 1171
627470 > y(tation)30 b(time)h(w)n(as)f(pro)n(vided)f(b)n(y)i(the)g(Notre)f(Dame)
627471 > g(Bunc)n(h-of-)-150 1266 y(Bo)n(xes)f(\(B.o.B\))i(computer)g(cluster)f
627472 > (under)h(NSF)g(gran)n(t)f(DMR)-150 1361 y(00)d(79647.)570
627473 > 1638 y Fo(REFERENCES)-117 1821 y Fn(1)-46 1851 y Fu(W.)39
627474   b(L.)g(Jorgensen,)h(J.)f(Chandrasekhar,)h(J.)f(D.)g(Madura,)-46
627475 < 3592 y(R.)c(W.)h(Imp)r(ey)-7 b(,)38 b(and)d(M.)g(L.)h(Klein,)h(J.)e
627476 < (Chem.)g(Ph)n(ys.)g Fh(79)p Fu(,)-46 3688 y(926)26 b(\(1983\).)-117
627477 < 3753 y Fn(2)-46 3783 y Fu(H.)62 b(J.)f(C.)h(Berendsen,)69
627475 > 1947 y(R.)c(W.)h(Imp)r(ey)-7 b(,)38 b(and)d(M.)g(L.)h(Klein,)h(J.)e
627476 > (Chem.)g(Ph)n(ys.)g Fh(79)p Fu(,)-46 2042 y(926)26 b(\(1983\).)-117
627477 > 2107 y Fn(2)-46 2138 y Fu(H.)62 b(J.)f(C.)h(Berendsen,)69
627478   b(J.)62 b(R.)g(Grigera,)68 b(and)62 b(T.)g(P)-7 b(.)-46
627479 < 3879 y(Straatsma,)26 b(J.)h(Ph)n(ys.)g(Chem.)h Fh(91)p
627480 < Fu(,)f(6269)f(\(1987\).)-117 3944 y Fn(3)-46 3974 y Fu(M.)c(W.)h
627479 > 2233 y(Straatsma,)26 b(J.)h(Ph)n(ys.)g(Chem.)h Fh(91)p
627480 > Fu(,)f(6269)f(\(1987\).)-117 2298 y Fn(3)-46 2329 y Fu(M.)c(W.)h
627481   (Mahoney)e(and)h(W.)g(L.)h(Jorgensen,)e(J.)h(Chem.)g(Ph)n(ys.)-46
627482 < 4070 y Fh(112)p Fu(\(20\),)k(8910)g(\(2000\).)-117 4135
627483 < y Fn(4)-46 4165 y Fu(M.)c(W.)h(Mahoney)e(and)h(W.)g(L.)h(Jorgensen,)e
627484 < (J.)h(Chem.)g(Ph)n(ys.)-46 4261 y Fh(114)p Fu(\(1\),)27
627485 < b(363)f(\(2001\).)-117 4326 y Fn(5)-46 4356 y Fu(Y.)19
627482 > 2424 y Fh(112)p Fu(\(20\),)k(8910)g(\(2000\).)-117 2489
627483 > y Fn(4)-46 2520 y Fu(M.)c(W.)h(Mahoney)e(and)h(W.)g(L.)h(Jorgensen,)e
627484 > (J.)h(Chem.)g(Ph)n(ys.)-46 2615 y Fh(114)p Fu(\(1\),)27
627485 > b(363)f(\(2001\).)-117 2680 y Fn(5)-46 2710 y Fu(Y.)19
627486   b(Liu)g(and)g(T.)g(Ic)n(hiy)n(e,)h(J.)e(Ph)n(ys.)g(Chem.)i
627487 < Fh(100)p Fu(,)g(2723)d(\(1996\).)-117 4422 y Fn(6)-46
627488 < 4452 y Fu(D.)36 b(Bratk)n(o,)h(L.)f(Blum,)j(and)d(A.)h(Luzar,)h(J.)e
627489 < (Chem.)g(Ph)n(ys.)-46 4547 y Fh(83)p Fu(\(12\),)26 b(6367)g(\(1985\).)
627490 < 2075 -113 y Fn(7)2145 -83 y Fu(L.)32 b(Blum,)i(F.)e(V)-7
627491 < b(ericat,)33 b(and)f(D.)h(Bratk)n(o,)e(J.)h(Chem.)g(Ph)n(ys.)2145
627492 < 12 y Fh(102)p Fu(\(3\),)27 b(1461)f(\(1995\).)2075 78
627493 < y Fn(8)2145 108 y Fu(A.)40 b(Chandra)d(and)i(T.)g(Ic)n(hiy)n(e,)i(J.)e
627494 < (Chem.)g(Ph)n(ys.)f Fh(111)p Fu(\(6\),)2145 203 y(2701)26
627495 < b(\(1999\).)2075 269 y Fn(9)2145 299 y Fu(C.)46 b(Sagui)e(and)h(T.)g
627496 < (A.)h(Darden,)j(Ann)n(u.)d(Rev.)f(Bioph)n(ys.)2145 394
627497 < y(Biomol.)27 b(Struct.)h Fh(28)p Fu(,)f(155)g(\(1999\).)2042
627498 < 460 y Fn(10)2145 490 y Fu(M.-L.)k(T)-7 b(an,)31 b(J.)f(T.)g(Fisc)n
627499 < (her,)h(A.)g(Chandra,)f(B.)g(R.)h(Bro)r(oks,)2145 585
627500 < y(and)d(T.)f(Ic)n(hiy)n(e,)g(Chem.)h(Ph)n(ys.)f(Lett.)h
627501 < Fh(376)p Fu(,)f(646)f(\(2003\).)2042 651 y Fn(11)2145
627502 < 681 y Fu(M.)f(P)-7 b(.)24 b(Allen)h(and)g(D.)g(J.)f(Tildesley)-7
627503 < b(,)25 b Fm(Computer)j(Simulation)2145 776 y(of)d(Liquids)k
627487 > Fh(100)p Fu(,)g(2723)d(\(1996\).)-117 2776 y Fn(6)-46
627488 > 2806 y Fu(D.)36 b(Bratk)n(o,)h(L.)f(Blum,)j(and)d(A.)h(Luzar,)h(J.)e
627489 > (Chem.)g(Ph)n(ys.)-46 2901 y Fh(83)p Fu(\(12\),)26 b(6367)g(\(1985\).)
627490 > -117 2967 y Fn(7)-46 2997 y Fu(L.)32 b(Blum,)h(F.)f(V)-7
627491 > b(ericat,)33 b(and)f(D.)h(Bratk)n(o,)e(J.)h(Chem.)g(Ph)n(ys.)-46
627492 > 3092 y Fh(102)p Fu(\(3\),)27 b(1461)e(\(1995\).)-117
627493 > 3158 y Fn(8)-46 3188 y Fu(A.)39 b(Chandra)f(and)g(T.)h(Ic)n(hiy)n(e,)i
627494 > (J.)e(Chem.)g(Ph)n(ys.)f Fh(111)p Fu(\(6\),)-46 3283
627495 > y(2701)25 b(\(1999\).)-117 3349 y Fn(9)-46 3379 y Fu(C.)45
627496 > b(Sagui)f(and)h(T.)h(A.)f(Darden,)50 b(Ann)n(u.)45 b(Rev.)g(Bioph)n
627497 > (ys.)-46 3474 y(Biomol.)26 b(Struct.)i Fh(28)p Fu(,)g(155)e(\(1999\).)
627498 > -150 3540 y Fn(10)-46 3570 y Fu(M.-L.)k(T)-7 b(an,)31
627499 > b(J.)f(T.)h(Fisc)n(her,)f(A.)h(Chandra,)f(B.)g(R.)h(Bro)r(oks,)-46
627500 > 3665 y(and)c(T.)h(Ic)n(hiy)n(e,)f(Chem.)g(Ph)n(ys.)g(Lett.)h
627501 > Fh(376)p Fu(,)f(646)f(\(2003\).)2042 -113 y Fn(11)2145
627502 > -83 y Fu(M.)f(P)-7 b(.)24 b(Allen)h(and)g(D.)g(J.)f(Tildesley)-7
627503 > b(,)25 b Fm(Computer)j(Simulation)2145 12 y(of)d(Liquids)k
627504   Fu(\(Oxford)20 b(Univ)n(ersit)n(y)g(Press,)h(New)g(Y)-7
627505 < b(ork,)22 b(1987\).)2042 842 y Fn(12)2145 872 y Fu(D.)42
627505 > b(ork,)22 b(1987\).)2042 78 y Fn(12)2145 108 y Fu(D.)42
627506   b(v)-5 b(an)41 b(der)f(Sp)r(o)r(el,)45 b(P)-7 b(.)41
627507   b(J.)f(v)-5 b(an)41 b(Maaren,)i(and)e(H.)g(J.)g(C.)2145
627508 < 967 y(Berendsen,)27 b(J.)h(Chem.)g(Ph)n(ys.)e Fh(111)p
627509 < Fu(\(6\),)h(10220)e(\(1998\).)2042 1033 y Fn(13)2145
627510 < 1063 y Fu(W.)j(G.)g(Ho)r(o)n(v)n(er,)e(Ph)n(ys.)h(Rev.)g(A)h
627511 < Fh(31)p Fu(\(3\),)g(1695)d(\(1985\).)2042 1128 y Fn(14)2145
627512 < 1158 y Fu(W.)j(G.)g(Ho)r(o)n(v)n(er,)e(Ph)n(ys.)h(Rev.)g(A)h
627513 < Fh(34)p Fu(\(3\),)g(2499)d(\(1986\).)2042 1224 y Fn(15)2145
627514 < 1254 y Fu(A.)35 b(Dullw)n(eb)r(er,)h(B.)d(Leimkuhler,)j(and)e(R.)g
627515 < (McLac)n(hlan,)g(J.)2145 1349 y(Chem.)28 b(Ph)n(ys.)f
627516 < Fh(107)p Fu(\(15\),)f(5840)g(\(1997\).)2042 1414 y Fn(16)2145
627517 < 1445 y Fu(A.)31 b(Kol,)f(B.)g(B.)g(Laird,)g(and)g(B.)g(J.)g
627518 < (Leimkuhler,)h(J.)f(Chem.)2145 1540 y(Ph)n(ys.)d Fh(107)p
627519 < Fu(\(7\),)g(2580)f(\(1997\).)2042 1605 y Fn(17)2145 1636
627520 < y Fu(J.)g(D.)g(Bernal)f(and)h(R.)g(H.)g(F)-7 b(o)n(wler,)26
627521 < b(J.)f(Chem.)i(Ph)n(ys.)d Fh(1)p Fu(,)j(515)2145 1731
627522 < y(\(1933\).)2042 1796 y Fn(18)2145 1826 y Fu(A.)20 b(Rahman)f(and)g(F.)
627523 < g(H.)h(Stillinger,)h(J.)e(Chem.)g(Ph)n(ys.)g Fh(57)p
627524 < Fu(\(9\),)2145 1922 y(4009)26 b(\(1972\).)2042 1987 y
627525 < Fn(19)2145 2017 y Fu(W.)37 b(L.)f(Jorgensen)f(and)h(C.)g(Jenson,)i(J.)e
627526 < (Comput.)h(Chem.)2145 2113 y Fh(19)p Fu(\(10\),)27 b(1179)f(\(1998\).)
627527 < 2042 2178 y Fn(20)2145 2208 y Fu(L.)35 b(A.)g(B\023)-42
627528 < b(aez)34 b(and)h(P)-7 b(.)35 b(Clancy)-7 b(,)36 b(J.)e(Chem.)h(Ph)n
627529 < (ys.)f Fh(101)p Fu(\(11\),)2145 2304 y(9837)26 b(\(1994\).)2042
627530 < 2369 y Fn(21)2145 2399 y Fu(R.)37 b(C.)g(W)-7 b(east,)39
627531 < b(ed.,)h Fm(CR)n(C)e(Handb)l(o)l(ok)h(of)g(Chemistry)h(and)2145
627532 < 2495 y(Physics)50 b Fu(\(CR)n(C)41 b(Press,)j(Inc.,)h(Bo)r(ca)40
627533 < b(Raton,)k(FL,)e(1980\),)2145 2590 y(60th)27 b(ed.)2042
627534 < 2656 y Fn(22)2145 2686 y Fu(Gillen,)33 b(Douglas,)f(and)f(Ho)r(c)n(h,)h
627535 < (J.)g(Chem.)g(Ph)n(ys.)e Fh(57)p Fu(,)i(5117)2145 2781
627536 < y(\(1972\).)2042 2847 y Fn(23)2145 2877 y Fu(R.)c(Mills,)g(J.)f(Ph)n
627537 < (ys.)g(Chem.)h Fh(77)p Fu(\(5\),)f(685)f(\(1973\).)2042
627538 < 2942 y Fn(24)2145 2972 y Fu(G.)d(Hura,)g(J.)f(M.)h(Sorenson,)f(R.)g(M.)
627539 < h(Glaeser,)f(and)g(T.)h(Head-)2145 3068 y(Gordon,)k(J.)g(Chem.)h(Ph)n
627540 < (ys.)f Fh(113)p Fu(\(20\),)f(9140)g(\(2000\).)2042 3133
627541 < y Fn(25)2145 3163 y Fu(A.)h(K.)e(Sop)r(er)h(and)g(M.)g(G.)g(Phillips,)g
627542 < (Chem.)h(Ph)n(ys.)e Fh(107)p Fu(\(1\),)2145 3259 y(47)i(\(1986\).)2042
627543 < 3324 y Fn(26)2145 3354 y Fu(M.)h(Sprik,)g(J.)f(Chem.)h(Ph)n(ys.)e
627544 < Fh(95)p Fu(\(9\),)i(6762)d(\(1991\).)2042 3419 y Fn(27)2145
627545 < 3450 y Fu(A.)36 b(V.)g(Gubsk)-5 b(a)n(y)n(a)35 b(and)g(P)-7
627546 < b(.)35 b(G.)h(Kusalik,)h(J.)e(Chem.)h(Ph)n(ys.)2145 3545
627547 < y Fh(117)p Fu(\(11\),)27 b(5290)f(\(2002\).)2042 3610
627548 < y Fn(28)2145 3641 y Fu(Y.)e(S.)f(Bady)n(al,)g(M.)g(L.)g(Sab)r(oungi,)g
627549 < (D.)h(L.)f(Price,)g(S.)g(D.)h(Shas-)2145 3736 y(tri,)30
627508 > 203 y(Berendsen,)27 b(J.)h(Chem.)g(Ph)n(ys.)e Fh(111)p
627509 > Fu(\(6\),)h(10220)e(\(1998\).)2042 269 y Fn(13)2145 299
627510 > y Fu(W.)j(G.)g(Ho)r(o)n(v)n(er,)e(Ph)n(ys.)h(Rev.)g(A)h
627511 > Fh(31)p Fu(\(3\),)g(1695)d(\(1985\).)2042 364 y Fn(14)2145
627512 > 394 y Fu(W.)j(G.)g(Ho)r(o)n(v)n(er,)e(Ph)n(ys.)h(Rev.)g(A)h
627513 > Fh(34)p Fu(\(3\),)g(2499)d(\(1986\).)2042 460 y Fn(15)2145
627514 > 490 y Fu(A.)35 b(Dullw)n(eb)r(er,)h(B.)d(Leimkuhler,)j(and)e(R.)g
627515 > (McLac)n(hlan,)g(J.)2145 585 y(Chem.)28 b(Ph)n(ys.)f
627516 > Fh(107)p Fu(\(15\),)f(5840)g(\(1997\).)2042 651 y Fn(16)2145
627517 > 681 y Fu(A.)31 b(Kol,)f(B.)g(B.)g(Laird,)g(and)g(B.)g(J.)g(Leimkuhler,)
627518 > h(J.)f(Chem.)2145 776 y(Ph)n(ys.)d Fh(107)p Fu(\(7\),)g(2580)f
627519 > (\(1997\).)2042 842 y Fn(17)2145 872 y Fu(J.)g(D.)g(Bernal)f(and)h(R.)g
627520 > (H.)g(F)-7 b(o)n(wler,)26 b(J.)f(Chem.)i(Ph)n(ys.)d Fh(1)p
627521 > Fu(,)j(515)2145 967 y(\(1933\).)2042 1033 y Fn(18)2145
627522 > 1063 y Fu(A.)20 b(Rahman)f(and)g(F.)g(H.)h(Stillinger,)h(J.)e(Chem.)g
627523 > (Ph)n(ys.)g Fh(57)p Fu(\(9\),)2145 1158 y(4009)26 b(\(1972\).)2042
627524 > 1224 y Fn(19)2145 1254 y Fu(W.)37 b(L.)f(Jorgensen)f(and)h(C.)g
627525 > (Jenson,)i(J.)e(Comput.)h(Chem.)2145 1349 y Fh(19)p Fu(\(10\),)27
627526 > b(1179)f(\(1998\).)2042 1414 y Fn(20)2145 1445 y Fu(L.)35
627527 > b(A.)g(B\023)-42 b(aez)34 b(and)h(P)-7 b(.)35 b(Clancy)-7
627528 > b(,)36 b(J.)e(Chem.)h(Ph)n(ys.)f Fh(101)p Fu(\(11\),)2145
627529 > 1540 y(9837)26 b(\(1994\).)2042 1605 y Fn(21)2145 1636
627530 > y Fu(R.)37 b(C.)g(W)-7 b(east,)39 b(ed.,)h Fm(CR)n(C)e(Handb)l(o)l(ok)h
627531 > (of)g(Chemistry)h(and)2145 1731 y(Physics)50 b Fu(\(CR)n(C)41
627532 > b(Press,)j(Inc.,)h(Bo)r(ca)40 b(Raton,)k(FL,)e(1980\),)2145
627533 > 1826 y(60th)27 b(ed.)2042 1892 y Fn(22)2145 1922 y Fu(Gillen,)33
627534 > b(Douglas,)f(and)f(Ho)r(c)n(h,)h(J.)g(Chem.)g(Ph)n(ys.)e
627535 > Fh(57)p Fu(,)i(5117)2145 2017 y(\(1972\).)2042 2083 y
627536 > Fn(23)2145 2113 y Fu(R.)c(Mills,)g(J.)f(Ph)n(ys.)g(Chem.)h
627537 > Fh(77)p Fu(\(5\),)f(685)f(\(1973\).)2042 2178 y Fn(24)2145
627538 > 2208 y Fu(G.)d(Hura,)g(J.)f(M.)h(Sorenson,)f(R.)g(M.)h(Glaeser,)f(and)g
627539 > (T.)h(Head-)2145 2304 y(Gordon,)k(J.)g(Chem.)h(Ph)n(ys.)f
627540 > Fh(113)p Fu(\(20\),)f(9140)g(\(2000\).)2042 2369 y Fn(25)2145
627541 > 2399 y Fu(A.)h(K.)e(Sop)r(er)h(and)g(M.)g(G.)g(Phillips,)g(Chem.)h(Ph)n
627542 > (ys.)e Fh(107)p Fu(\(1\),)2145 2495 y(47)i(\(1986\).)2042
627543 > 2560 y Fn(26)2145 2590 y Fu(M.)h(Sprik,)g(J.)f(Chem.)h(Ph)n(ys.)e
627544 > Fh(95)p Fu(\(9\),)i(6762)d(\(1991\).)2042 2656 y Fn(27)2145
627545 > 2686 y Fu(A.)36 b(V.)g(Gubsk)-5 b(a)n(y)n(a)35 b(and)g(P)-7
627546 > b(.)35 b(G.)h(Kusalik,)h(J.)e(Chem.)h(Ph)n(ys.)2145 2781
627547 > y Fh(117)p Fu(\(11\),)27 b(5290)f(\(2002\).)2042 2847
627548 > y Fn(28)2145 2877 y Fu(Y.)e(S.)f(Bady)n(al,)g(M.)g(L.)g(Sab)r(oungi,)g
627549 > (D.)h(L.)f(Price,)g(S.)g(D.)h(Shas-)2145 2972 y(tri,)30
627550   b(D.)g(R.)f(Hae\013ner,)g(and)g(A.)h(K.)f(Sop)r(er,)g(J.)g(Chem.)g(Ph)n
627551 < (ys.)2145 3831 y Fh(112)p Fu(\(21\),)e(9206)f(\(2000\).)2042
627552 < 3897 y Fn(29)2145 3927 y Fu(J.)c(Barriol)d(and)j(A.)g(W)-7
627551 > (ys.)2145 3068 y Fh(112)p Fu(\(21\),)e(9206)f(\(2000\).)2042
627552 > 3133 y Fn(29)2145 3163 y Fu(J.)c(Barriol)d(and)j(A.)g(W)-7
627553   b(eisb)r(ec)n(k)n(er,)22 b(Compt.)g(Rend.)g(Acad.)f(Sc.)2145
627554 < 4022 y(P)n(aris)26 b Fh(259)p Fu(,)h(4643)f(\(1964\).)2042
627555 < 4088 y Fn(30)2145 4118 y Fu(B.)32 b(R.)g(Bro)r(oks,)g(R.)g(E.)f
627556 < (Bruccoleri,)h(B.)g(D.)g(Olafson,)g(D.)g(J.)2145 4213
627554 > 3259 y(P)n(aris)26 b Fh(259)p Fu(,)h(4643)f(\(1964\).)2042
627555 > 3324 y Fn(30)2145 3354 y Fu(B.)32 b(R.)g(Bro)r(oks,)g(R.)g(E.)f
627556 > (Bruccoleri,)h(B.)g(D.)g(Olafson,)g(D.)g(J.)2145 3450
627557   y(States,)27 b(S.)f(Sw)n(aminathan,)g(and)g(M.)g(Karplus,)f(J.)h
627558 < (Comput.)2145 4309 y(Chem.)i Fh(4)p Fu(\(2\),)g(187)e(\(1983\).)p
627558 > (Comput.)2145 3545 y(Chem.)i Fh(4)p Fu(\(2\),)g(187)e(\(1983\).)p
627559   eop
627560   %%Trailer
627561   end

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