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# Content
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5 d Footnote TableFootnote**.\t.\t/ - :;,.!?4e +  eTOCHeading1Heading2 AAc HamiltonianHorkay HydrogelsIsopropylacrylamideMeinekeNotre Polyacrylate Shibayamaet
6 microphasemonovalent:divalentpolyelectrolyte   EquationVariables=
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346 (`
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348 `
349 P Elucidation of Structural {@Changes in Osmotically
350 ,`Swollen Polymer Hydrogels
351  `
352 `
353 *`
354 +`
355  `Matthew A. Meineke
356 !`Department of Chemistry
357 "`University of Notre Dame
358 #`Notre Dame, IN
359 $ m`
360 %{`
361 &l October 1, 2001
362 W' `
363 HHˆ;6HHˆ:66 ld;Z::
364 HHˆ;[8HHˆ:-`Outline
365 . 3`
366 /I` Background
367 1f`Gel Volume Phase Transition
368 2`Weakly charged polymer gels
369 3`polyelectrolyte polymer gels
370 4 `
371 5`
372 6`Research Goals
373 7`"Weakly charged polymer simulation
374 8`#Polyelectrolyte polymer simulation
375 9 `
376 :`
377 ;` Methodology
378 <`Gibbs ensemble Monte Carlo
379 =`Parallel tempering
380 >`Expanded Ensemble
381 ? `
382 Q@`
383 HHˆ;]8HHˆ7=99 ld;{== HHˆ;|;HHˆ=A Reversible Volume Phase C@ Transition
384 B ^`
385 C t`
386 3D .A reversible volume phase transition has been @+observed in a number of polymer hydrogels.
387 E`
388 !F 0This phase transition has been proposed to play @-an important role in neural impulse channels
389 G`
390 !H /The transition has been linked to a variety of @thermodynamic variables
391 I` Temperature
392 J`Solvent polarity
393 AK`Ionic strength of solvent
394 HHˆ;~;HHˆ:@<< ld;@@ Q?ˆ;>Q?ˆ~aaa@L`Weakly Charged Gel
395 M 3`
396 O!UTHUT .N-Isopropylacrylamide-co-Acrylic Acid polymer dUR@ (NIPA/AAc)
397 P*`'research by Shibayama  et al .
398 A 6Shibayama, M.; Tanaka, T.; Han, C. C.  Journal of @>Chemical Physics   1992 ,  97 , 6842-6854
399 Q`
400 R!UTUO 2Studied the Gel structure around the phase transi0UM*tion using Small Angle Neutron Scattering @(SANS)
401 S*`Found microphase separation
402 T`#Regions were on the order of 300
403 UX`
404 V!UTmUD 2The size of the spacing did not seem to correlate UB@.with the theoretical AAc monomer distribution
405 #W* -Random distribution would give a distance of @37.3
406 a0 ,Block co-polymerization gives approximately H 100 
407 
408 Q?ˆ;>Q?ˆ=C?? ld;CC HHˆ;AHHˆCY`Polyelectrolyte Gel
409 \ 3`
410 ]I`%Sodium Polyacrylate in salt solution
411 ^f`$Research done by Horkay  et al.
412 `  BHorkay, F.; Tasaki, I.; Basser, P. J.  Biomacromolecules  @2000 ,  1 , 84 -90
413 Z`
414 1N /Studied the volume phase transition by varying @%the monovalent:divalent cation ratio
415 a `
416 b`&Observed the shear modulus of the gel
417 #c -Shear modulus unaffected by the introduction @of the divalent species
418 !d .Implies divalent species doesnt affect cross-@linking densities
419 a[ +Divalent species must therefore facilitate 1greater interaction either within or between the @polymer strands.
420 HHˆ;AHHˆ@FBB ld;FF HHˆ;DHHˆ
421 
422 Fi`Two system Approach
423 j 3`
424 kI`4First, simulate the system of Shibayama  et al.
425 3lf *Develop simulation techniques on the sim@pler of the two systems
426 m `
427 n`0Second, simulate the work of Horkay  et al.
428 #o -Introduce more complicated techniques into a @proven algorithm.
429 Wp  `
430 HHˆ;DHHˆCIEE ld;II HHˆ;GHHˆIq`Shibayamas simpler
431 }C`system
432 r ^`
433 st +Shibayamas system will be simulated first @'because it lacks ions in the solution.
434 t `
435 u`Questions to be explored:
436 v`%How much atomistic detail is needed?
437 !w -Does the distribution of AAc monomers affect @ cavity size?
438 y`)What is the structure of the aggregates?
439 x`)Longitudinal or lateral strand collapse?
440 z q`
441 Q{`
442 HHˆ;GHHˆFLHH ld;LL HHˆ;JHHˆGfPL|`Expanding the model
443 ~ ;`
444 X`1Horkays system introduces ions into the solvent
445 # 2increases the difficulty in inserting or deleting @
446 particles
447  `
448 `Questions to be explored:
449 # 0Is the level of detail from the previous simula@tion adequate?
450 ! )Is aggregation and microphase separation @observed here as well?
451 ! 1Is the structural nature of the collapse similar @$to that of the previous simulation?
452  .How would the introduction of a trivalent spefPfP@(cies (Al 3+ )affect the system?
453  fP`
454 `Putting the two together
455 #  -Is there a simple model to explain the struc@2tural features in one or both of the simulations?
456 W
457 CfP`
458 HHˆ;JHHˆIOKK ld;O& HH6;MHH6$O W `Gibbs Ensemble Methodology
459 HH6;M_HH6LRNN ld;RR ??ˆ;P??ˆR
460  `Potential Difficulties
461  ;`
462 X`Gel structure relaxation
463 # (Standard Monte Carlo will randomly move @(one or more atoms regardless of bonding
464  `
465 `Constant concentration
466 # -During the Particle exchanges, the concentra4tion of the salt ions will fluctuate in the solvent @box.
467  `
468 `Ionic insertions
469 # ,The change in configurational energy associ1ated with charge insertion or deletions is quite /large and will lead to rejection of almost all @particle exchange attempts
470 W`
471 ??ˆ<P??ˆOUQQ ld<UU HHˆ<SHHˆt!!U `Hybrid Monte Carlo moves
472  3`
473 I 1To relax gel network, short dynamic runs will be f@ employed
474 # /Allows for solvent and gel reorientation after @&particle insertions or volume changes
475  `
476 # /The Global moves are then accepted or rejected 0based on the change in the total Hamiltonian of @ the system.
477 _`/Allows fo the flexibility of larger time steps
478 e F`
479 gT`
480 h`
481  `
482 `
483 `
484  `
485 !`
486 "`
487 B`
488 C`
489 D`
490 E`
491 F`
492 G`
493 H`
494 I`
495 J`
496 K`
497 L`
498 M+UT_UT TFrenkel, D.; Smit, B.  Understanding Molecular Simulation ; Academic Press: PpUR@London, 1996.
499 HHˆ<SHHˆRXTT ld<X? HHˆ< VHHˆwX fdParallel tempering
500 # 3d
501 $I$/Parallel tempering was originally developed to fD#fully sample configurational space
502 %d
503 !&$0Utilizes parallel simulations at higher tempera-tures and configuration swapping in order to /escape from a configuration trapped in a local Dpotential well.
504 'd
505 (d
506 )d
507 !,$-I propose to simulate solvent boxes at fixed 0chemical potential in parallel with the solvent .box of the Gibbs simulation, and periodically .swap their configurations to keep the solvent Dconcentrations constant
508 - d
509 *d
510 +d
511 Nd
512 Od
513 Pd
514 Qd
515 Rd
516 Sd
517 WT+UTsUTd]Yamamoto, R.; Kob, W.  Physical Review E   2000 ,  61 , 5473 - 5476.
518 HHˆ<"V'HHˆU[WW ld<.[[ HHˆ</YHHˆn[ .dExpanded Ensemble
519 / ;d
520 30X$.In the expanded Ensemble method, an insertion .is accomplished through the gradual growth of D*the species into the trial configuration.
521 #1$+Growth is spread through a fixed number of Dsteps.
522 !2$1Allows for cavities to be created for larger speDcies to be inserted.
523 3d
524 !4$0I propose to use this method as a way of insert1ing and deleting charged particles into the simuDlation boxes.
525 5dpossible modifications:
526 6d*grow charge onto a neutral inserted ion
527 7d grow a charged ion into the box
528 !8$/change the identity of an existing ion already D in the box
529 9  d
530 U.d
531 Vd
532 Wd
533 Z+UTYUT$YLyubarsev. A. P.; Forrisdahl, O. K.; Laaksonen, A.  Journal of Chemical Physics  RjURD$1998 ,  108 , 227 -233.
534 HHˆ<1YHHˆX^ZZ ld<G^^ HHˆ<H\HHˆ^:dSummary
535 ;;d
536 1<X$,Using Gibbs Ensemble Monte Carlo techniques ,I propose to simulate a NIPA/AAC co polymer 0in the phase region surrounding its volume tranDsition
537 =d
538 !>$2I will expand the first system to add the capabil2ity to simulate ions in solution in order to simu1late a polyelectrolyte gel in equilibrium with a Dsalt solution.
539 ?d
540 a@$/Information obtained from the simulations will 0be used to elucidate and characterize the struc/tural changes that occur within the gels about D their volume phase transitions. HHˆ<J\HHˆ[]] lHjXj< MOegcHjXjM+LJ =VAbM+LJ '2Q?~=>GG?
541  L,x32=V`3?3L,x32Xx"Xx""Constant Conc. : ż R< Mefg_ż Rtż#Box INjXj<MghhgNjXjefNjXj<M_cdfNjXj eP  R<McgdeeP  ReP$Box IIHjXj<MfdhdHjXj_cHpj<MdiHpjgd _M*iƨ$< Mhjm_M*iƨ$_M*z_M*z zz aSٚTg< Mikzz aSٚTg1G5zz5%DN =  N I   +   N II   = constant zz!P{ٚTg<
542 Mjlzz!P{ٚTg1G0$Czz0$C%5V =  V I  +  V II  = constant I7?ϗg<
543 MkpI7?ϗg1GFkIFk%:T =  T I   =  T II  = constant-iƨ9X=Mn -iƨ9Xin d Frtg< Mmmd Frtg$ad F$a%/N =  N I   +   N II a8<Mpqpqa8 Qa8<MlooQa8QQ ƨ$<Morotƨ$ Nƨ$<Mqs Nƨ$ _ _ W[zMJۥ<
544 MrtW[zMJۥ+W[+Particle Exchange-cc< Msvqv-cc? <Mvwvw? cc<Mtutucc? <Muxux? Z <MwywyZ c <Mxzxzc u <My{y{u ? <Mz|z|?  <M{}{}  <M|~|~  <M}}  <M~~  <M  <M  <M  <M  < M u <Mu U^W<MU^WUUr*-al<Ms-alp-z<Mnmin-zs qtyۥ=Mm
545 
546 qtyۥqBqB Volume ChangeMs>Zc= M  Ms>Zc>= M>>>>?H= M
547 
548 >?Hz>=M  z>z>z>M>=M  M>h>M>z>= Mz>z>z>>=
549 M  >>>>= M  >.>>>=M>>>>=M>>>nw>=Mnw>nw>xs>'times[char[Delta],char[V]]Mtۥ=MMtۥ >=M>>Ss>'&times[minus[(*n*)char[Delta]],char[V]] rtg=
550 Mrtgv$a$a%%V =  V I  +  V IIMtg=MMtg Rfoۥ=M&%Rfoۥ/X^+^+ Translationalطp+cc=M%طp+ccXƒխ =!M%Xƒխ d¾+ ="M%d¾+ *.yV =#M%*.yV 
551 a¥Y =$M%
552 a¥Y =ظZ =%M % =ظZ 'eª+ =&M!%!'eª+ Eط‚+ ='M "% "Eط‚+ %طV =(M!#%!#%طV Eط¦+ =)M"$%"$Eط¦+ 0–r*=*M#%%#0–r*0–rC.F§V طp+cc=+M$&&طp+cc$Rfo+=-M%Rfo+% TvV<32=3VX(`(TvV<32`+`+"
553 Temp High: Me=4V')`')Me^^"q i-1 H GMfW=5V(*`(*GMfWG^G^" q i H Mm=6V)+`)+Mm^^"q i+1 L R.32=7V*,`*,R.32]]" Temp Low: 4ᘨ=8V+-`+-4ᘨ4 4 "q i-1 L D)(=9V,.`,.D)(DD" q i L )=:V-/`-/)"q i+1 H-=;V.0`.0-D[-=<V/1`/1[-[D[Vd6$==V02`02Vd6$Vd_d-$=>V14`1_d-$_d WD6a=Vb5?b5WD6aWUWU"q i CC lv32=QV2Alv32l›+l›+" #DSf=V36?36#DSf#U#U"q i+1 GC wZzh32=V57?57wZzh32wZ‡:wZ‡:"Gibbs Conc. : yw`ژ=V68?68yw`ژyˆiyˆi"q i-1 GC SwZxW !=V79?79SwZxW !SwZ‰`SwZ‰`"q i GC wZt =V8:?8:wZt wZ…wZ…"q i+1 CC&wZ‰`-=V9;?9;&wZ‰`-&wZ‰`SwZ‰`ewZ\`HU=V:<?:<ewZ\`HUewZ\`wZƒ B@D5=V;=?;=B@D5B@UB@U"q i-1 CC&wZS`-=V<>?<>&wZS`-&wZS`SwZS`wwZV6$=V=??=wwZV6$wwZzwZVD\ 3LJ =V>D\ 3LJ b> lê32=RV4`lê32l]l]" u[}=؟au[}9
554 =EPSI
555 #%v5%!PS-Adobe-2.0 EPSF-1.2
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558 %%CreationDate: 9/25/01 9:45 PM
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563 count
564 %%BeginProcSet: chemdict30 24 13
565 % ChemDraw Laser Prep
566 % Copyright 1985-1997, CambridgeSoft Corp., All Rights Reserved
567 userdict/chemdict30 210 dict put
568 chemdict30 begin/version 24 def/sv 13 def/b{bind def}bind def/L{load def}b/R{null def}b/d/def L/a/add L/al/aload L/as/astore L/at/atan L/cp/closepath L/cv/curveto L/cw/currentlinewidth L/cpt/currentpoint L/dv/div L/D/dup L/e/exch L/F/false L/f/fill L/fa/forall L/g/get L/gi/getinterval L/gr/grestore L/gs/gsave L/ie/ifelse L/ix/index L/l/lineto L/mt/matrix L/M/moveto L/m/mul L/n/neg L/np/newpath L/pb/pathbbox L/P/pop L/r/roll L/rl/rlineto L/rm/rmoveto L/ro/rotate L/rp/repeat L/ru/round L/sc/scale L/sl/setlinewidth L/sm/setmatrix L/st/stroke L/sp/strokepath L/sq/sqrt L/s/sub L/T/true L/tr/transform L/xl/translate L/xc/exec L/A R/N R/St R/X R/Y R/aL R/bL R/bS R/bd R/bs R/cX R/cY R/ch R/co R/fB R/fI R/fS R/fZ R/fl R/ft R/iX R/iY R/idx R/lh R/llx R/lly R/lp R/nH R/nSq R/newdict R/ps R/rad R/rev R/sL R/sba R/sbl R/sbs R/sn R/spa R/tB R/typ R/urx R/ury R/w R/wF R/xX R/xY R/rBg R/gBg R/bBg R/gry R/rDst R/gDst R/bDst R/cpd R/Aeq R/Ath R/Aos R/Ach R/ed R/sf 20 d/cW 20 d/lW 20 d/bW 75 d/wF 1.5 d/aF 11.875 d/aR 0.263 d/aA 50 d/hS 54 d/pA 32 d/sh F d/S{sf m}b/dL{[hS] 0 setdash}b/o{1 ix}b/rot{3 -1 r}b/x{e d}b/CMT mt d/TM mt d/SM{CMT sm}b/XY{X D m Y D m a sq}b/s1 1 string d/fp{T charpath flattenpath}b/p{tr ru 0.25 a e ru 0.25 a e itransform}b/Wd{65536. dv}b/C{Wd rot Wd rot Wd rot setrgbcolor}b/setcmykcolor where{P/sk/setcmykcolor L}{/sk{4 1 r 3{3 ix a D 0 lt{P 0}if D 1 gt{P 1}if 1 e s 3 1 r}rp setrgbcolor P}b}ie/sg{D currenthsbcolor P rot sethsbcolor currenthsbcolor e P e P o s D m .001 gt{setgray}{P}ie}b/sBg{65535 dv/bBg x 65535 dv/gBg x 65535 dv/rBg
569 x}b/sRmp{currentrgbcolor bBg e s/bDst x gBg e s/gDst x rBg e s/rDst x}b/dD{np 2 1 r 4 2 r xl 2 dv D sc -1 0 M 0 -1 l 1 0 l 0 1 l cp SM 0 ne{f}{lW 0.8 m D sf gt{P sf}if sl st}ie}b/dM{gs np 3 1 r xl D sc 0 4 M 0 -8 rl 3.5 2 rm -7 4 rl 0 -4 rm 7 4 rl SM st gr}b/dQ{gs np 0 360 arc 0.5 sg f gr}b/dR{lW 0.8 m D sf gt{P sf}if sl 2 ix s/Y x 2 ix s/X x xl Rr SM st}b/dT{fp pb 3 1 r s 3 2 r s 2 1 r rm f}b/N 0 d/db{array/bs x/N 0 d}b/B{bs N rot put/N N 1 a d}b/SpA{gs np o o xl rot s e rot s o 0 ne o 0 ne or{at ro}{P P}ie
570 aR aL m n D aL a 0 p M 0 o n aA n aA arc cp f gr}b/SpH{gs np o o xl rot s e rot s o 0 ne o 0 ne or{at ro}{P P}ie
571 0 cw 2 dv xl
572 aR aL m n D aL a 0 p M 0 o n aA n 0 arc cp f gr}b/Sp{/St x 0.316/aR x gs
573 aF lW m 0.8 m St 4 and 0 ne{bW m lW dv bW sl}if/aL x
574 St 8 and 0 ne{8 ix 8 ix 3 ix 3 ix SpA}if
575 St 16 and 0 ne{2 ix 6 m 1 a D ix e D ix e D ix e D ix e P SpA}if
576 St 32 and 0 ne{8 ix 8 ix 3 ix 3 ix SpH}if
577 St 64 and 0 ne{2 ix 6 m 1 a D ix e D ix e D ix e D ix e P SpH}if
578 St 2 and 0 ne{St 4 and 0 ne{[hS bW m lW dv] 0 setdash}{dL}ie}if
579 np M{cv}rp St 128 and 0 ne{f}{st}ie gr}b/Ha{gs np 3 1 r
580 xl D sc -.7 1.4 p M 0.7 1.4 p l -.7 2.4 p M 0.7 2.4 p l SM st gr}b/OP{3 ix 3 ix xl 3 -1 r s 3 1 r
581 e s o o at ro D m e D m a sq}b/OB{/bS x OP D bS dv D lW 2 m lt{P lW 2 m}if/bd x}b/DA{np 0 0 M aL 0 aR aL m 180 aA s 180 aA a arc cp f}b/OA{np 0 cw -2 dv M aL 0 aR aL m 180 aA s
582 180 arc 0 cw -2 dv rl cp f}b/Ast{SM cw 0.8 m sl st}b/SA{aF m lW m/aL x 0.263/aR x aL 1 aR s m np 0 p M rad 0 p l gs Ast gr}b/CA{aF lW m 0.8 m/aL x 0.316/aR x aL 1 aR s m 2 dv rad D m o D m s D 0 le{P
583 P P}{sq at 2
584 m np rad 0 rad 180 6 -1 r s 180 6 -1 r s arc gs Ast gr cpt
585 e at ro}ie}b/AA{np rad 0 rad 180 180 6 -1 r a arc gs SM st gr}b/RA{lW m/w x np rad w p M w .7 dv w p l rad w n p M w .7 dv w n p l w .35 dv w 2 m p M 0 0 p
586 l w .35 dv w -2 m p l st}b/HA{lW m/w x np 0 0 p M w 2 m D p l w 2 m w p l rad w p l rad w n p l w 2 m
587 w n p l w 2 m D n p l cp st}b/Ar1{gs 5 1 r OP/rad x{{2.25 SA DA}{1.5 SA DA}{1 SA DA}{lW 4 m sl 4.5 SA DA}{lW 4 m sl 3 SA DA}{lW 4 m sl 2 SA
588 DA}{270 CA DA}{180 CA DA}{120 CA DA}{90 CA DA}{2.5 RA}{2.5
589 HA}{1 -1 sc 270 CA DA}{1 -1 sc 180 CA DA}{1 -1 sc 120 CA DA}{1 -1 sc 90 CA
590 DA}{5 RA}{5 HA}{dL 2.25 SA DA}{dL 1.5 SA DA}{dL 1 SA DA}{2.25 SA OA}{1.5 SA
591 OA}{1 SA OA}{1 -1 sc 2.25 SA OA}{1 -1 sc 1.5 SA OA}{1 -1 sc 1 SA OA}{270 CA OA}{180 CA OA}
592 {120 CA OA}{90 CA OA}{1 -1 sc 270 CA
593 OA}{1 -1 sc 180 CA OA}{1 -1 sc 120 CA OA}{1 -1 sc 90 CA OA}{1 -1 sc 270
594 AA}{1 -1 sc 180 AA}{1 -1 sc 120 AA}{1 -1 sc 90 AA}}e g xc
595 gr}b/ac{arcto 4{P}rp}b/rO{4 cw m}b/Cr{0 0 1 0 360 arc}b/Ac{XY D sc Cr SM}b/OrA{Y X at ro XY D rev{neg}if sc}b/Ov{OrA 1 0.4 sc Cr SM}b/Asc{OrA 1 27 dv D sc}b/LB{9 -6 M
596 21 -10 27 -8 27 0 cv
597 27 8 21 10 9 6 cv
598 -3 2 -3 -2 9 -6 cv
599 cp}b/DLB{0 0 M -4.8 4.8 l
600 -8 8 -9.6 12 -9.6 16.8 cv
601 -9.6 21.6 -8 24.6 -4.8 25.8 cv
602 -1.6 27 1.6 27 4.8 25.8 cv
603 8 24.6 9.6 21.6 9.6 16.8 cv
604 9.6 12 8 8 4.8 4.8 cv
605 cp}b/ZLB{LB}b/dt{gs np M SM cpt np rot 4.5 dv 0 360 arc f gr}b/whf{gs 1 setgray f gr SM st}b/blf{gs f gr SM st}b/Rr{0 rO p M
606 0 Y X Y rO ac
607 X Y X 0 rO ac
608 X 0 0 0 rO ac
609 0 0 0 Y rO ac
610 cp}b/Rc{0 0 p M
611 0 Y p l
612 X Y p l
613 X 0 p l
614 cp}b/grf{gs 0.5 sg f gr SM st}b/gG{D 32 dv D m 1 e s/gry x
615 currentrgbcolor bDst gry m a 3 1 r gDst gry m a 3 1 r rDst gry m a 3 1 r setrgbcolor}b/gS{dtransform CMT idtransform
616 m D 0 lt{n}if sq n D
617 CMT dtransform idtransform
618 e 2 m e
619 xl
620 7 m 32 a 256 dv D sc}b/gLB{sh{sRmp
621 32 -0.5 0.5{gs
622 gG
623 13.5 0 xl
624 D 32 s 64 dv 13.5 m D 7 m 24 dv
625 gS
626 -13.5 0 xl
627 LB f
628 gr}for
629 LB SM st}{LB grf}ie}b/gOv{sh{sRmp
630 32 -0.5 0.5{gs
631 gG
632 D 32 s 64 dv 0.65 m D
633 gS
634 Cr f
635 gr}for
636 Cr SM st}{Cr grf}ie}b/gAc{sh{sRmp
637 32 -0.5 0.5{gs
638 gG
639 D 32 s 64 dv D
640 gS
641 Cr f
642 gr}for
643 Cr SM st}{Cr grf}ie}b/gDLB{sh{sRmp
644 32 -0.5 0.5{gs
645 gG
646 0 13.5 xl
647 D 32 s 64 dv 13.5 m D 7 m 24 dv e
648 gS
649 0 -13.5 xl
650 DLB f
651 gr}for
652 DLB SM st}{DLB grf}ie}b/gRr{sh{sRmp
653 32 -0.5 0.5{gs
654 gG
655 X 2 dv Y 2 dv xl
656 D 32 s 64 dv X Y lt{X}{Y}ie m 0.25 m D
657 gS
658 X -2 dv Y -2 dv xl
659 Rr f
660 gr}for
661 Rr SM st}{Rr grf}ie}b/gRc{sh{sRmp
662 32 -0.5 0.5{gs
663 gG
664 X 2 dv Y 2 dv xl
665 D 32 s 64 dv X Y lt{X}{Y}ie m 0.25 m D
666 gS
667 X -2 dv Y -2 dv xl
668 Rc f
669 gr}for
670 Rc SM st}{Rc grf}ie}b/gZLB{gLB}b/Ath{Y X at ro XY 2 dv/rad x gs D SA DA gr rad 2 m 0 xl 180 ro SA DA}b/Aeq{Y X at ro XY/rad x
671 rev{1 -1 sc}if
672 gs
673 0 lW 2 m xl
674 D SA OA
675 gr
676 rad 0 xl
677 180 ro
678 0 lW 2 m xl
679 SA OA}b/Aos{X Y M SM cpt xl XY e dv lW 1.667 m o o lt{e}if P D sc}b/Ach{5 Aos
680 gs/Helvetica findfont[1 0 0 -1 0 0]makefont 5.5 scalefont setfont
681 D stringwidth P 2 dv D 1 a/rad x
682 n 0 M show gr
683 rad 2 s -5 p M
684 rad n -5 rad n 1 2 ac
685 rad n 1 rad 1 2 ac
686 rad 1 rad -5 2 ac
687 rad -5 rad n -5 2 ac
688 cp Ast}b/Ar{D 39 lt{Ar1}{gs 5 1 r o o xl 3 -1 r e s 3 1 r s e
689 o 0 lt o 0 lt ne/rev x
690 D 0 lt{1 -1 sc neg}if/Y x D 0 lt{-1 1 sc neg}if/X x np{{Y 16 div D 2 S lt{P 2 S}if/lp x
691 lp 0 p M 0 0 p l 0 Y p l lp Y p l
692 X lp s 0 p M X 0 p l X Y p l X lp s Y p l SM st}{Y 16 div D 2 S lt{P 2 S}if/lp x
693 lp 0 p M
694 0 0 0 Y lp ac
695 0 Y 2 dv lp neg o lp ac
696 0 Y 2 dv 0 Y lp ac
697 0 Y lp Y lp ac
698 X lp s 0 p M
699 X 0 X Y lp ac
700 X Y 2 dv X lp a o lp ac
701 X Y 2 dv X Y lp ac
702 X Y X lp s Y lp ac SM st}{Y D 2 dv Y 180 pA s 180 pA a arc st
703 np X Y s Y 2 dv
704 Y pA D neg arcn st}{Rc SM st}{X lW 2 dv a lW -2 dv p M
705 rO D rl
706 X lW 2 dv a rO a Y lW 2 dv a rO a p l
707 rO lW -2 dv a Y lW 2 dv a rO a p l
708 lW -2 dv Y lW 2 dv a p l
709 0 Y p l X Y p l X 0 p l cp f
710 0 0 p M
711 0 Y p l
712 X Y p l
713 X 0 p l cp
714 SM st}{Rr SM st}{rO Y p M rO rO xl
715 0 Y X Y rO ac
716 X Y X 0 rO ac
717 X 0 0 0 rO ac
718 rO neg D xl X Y 0 Y rO ac
719 cp f
720 Rr st}{Ac st}{OrA gAc}{Ov st}{OrA 1 .4 sc gOv}{Asc LB whf}{Asc gLB}{Asc gs gLB gr
721 -1 -1 sc LB whf}{Asc gs gLB gr
722 -0.4 -0.4 sc LB whf}{Asc LB gs whf gr
723 np -0.4 -0.4 sc gLB}{Asc DLB -1 -1 sc DLB gs whf gr
724 np 90 ro gs gDLB gr -1 -1 sc gDLB}{Asc gs -1 -1 sc ZLB whf gr
725 gs 3.6 12 sc gOv gr
726 ZLB whf}{Asc gs -1 -1 sc gZLB gr
727 gs 3.6 12 sc Cr whf gr
728 gZLB}{0 0 p M X Y p l SM st}{bW sl 0 0 p M X Y p l SM st}{dL 0 0 p M X Y p l SM st}{OrA 1 16 dv D sc
729 0 -1 p M
730 0 0 1 0 1 ac
731 8 0 8 1 1 ac
732 8 0 16 0 1 ac
733 16 0 16 -1 1 ac
734 SM st}{XY D 0 0 dt X Y dt}{XY 2 dv X Y dt}{XY D X Y dt 0 0 M SM cpt xl
735 2 dv D sc
736 1 0 M -1 0 l
737 0 1 M 0 -1 l
738 Ast}{XY D X Y dt 0 0 M SM cpt xl
739 2 dv D sc
740 1 0 M -1 0 l
741 Ast}{4.5 Aos
742 1 0 M -1 0 l
743 0 1 M 0 -1 l
744 2 0 M 0 0 2 0 360 arc
745 Ast}{4.5 Aos
746 1 0 M -1 0 l
747 2 0 M 0 0 2 0 360 arc
748 Ast}{2.25 Ath}{1.5 Ath}{1 Ath}{2.25 Aeq}{1.5 Aeq}{1 Aeq}{OrA 1 16 dv D sc
749 0 -1 p M 0 0 p l 16 0 p l 16 -1 p l SM st}{5 Aos
750 1 -1 M -1 -1 l
751 0 2 M 0 -2 l
752 Ast}{5 Aos
753 1 -1 M -1 -1 l
754 1 1 M -1 1 l
755 0 2 M 0 -2 l
756 Ast}{4.5 Aos
757 1 0 M -1 0 l
758 0 1 M 0 -1 l
759 Ast}{4.5 Aos
760 1 0 M -1 0 l
761 Ast}{gRc}{gRr}{Rc blf}{Rr blf}{Ac blf}{Ov blf}{Asc DLB -1 -1 sc DLB gs whf gr
762 np 90 ro DLB -1 -1 sc DLB blf}{Asc gs -1 -1 sc ZLB blf gr
763 gs 3.6 12 sc Cr whf gr
764 ZLB blf}{Asc gs -1 -1 sc ZLB whf gr
765 gs 3.6 12 sc Cr blf gr
766 ZLB whf}{Asc LB gs whf gr
767 np -0.4 -0.4 sc LB blf}{Asc LB gs f gr gs SM st gr
768 np -0.4 -0.4 sc LB whf}{Asc LB blf}{Asc LB gs f gr gs SM st gr
769 np -1 -1 sc LB whf}{Ac whf}{OrA gAc}{Ac blf}{Ov whf}{OrA 1 .4 sc gOv}{Ov blf}{(Rac)Ach}{(Abs)Ach}{(Rel)Ach}}e 39 s g xc gr}ie}b/DS{np p M p l st}b/DD{gs dL DS gr}b/DB{gs 12 OB bW sl np 0 0 p M 0 p l st gr}b/ap{e 3 ix a
770 e 2 ix a}b/PT{D 2 4 gi al P OP D 1 sc
771 o length 6 gt{P 6 g}{e P 8 dv}ie
772 D lW 2 m lt{P lW 2 m}if
773 0 e p
774 0 0 p
775 3 -1 r s 3 1 r e s e
776 0 0 p M 1 0 p l
777 0 0 p ap M 1 0 p ap l
778 e n e n
779 0 0 p ap M 1 0 p ap l
780 P P}b/DT{gs np PT SM st gr}b/NH{lW s D hS dv ru
781 cvi D 0 eq{P 1}if/nH x
782 D hS nH m s
783 D 0 lt{P .1 s nH dv}{nH 2 a dv D 0 xl 2 m s nH dv}ie}b/Bd{D type/arraytype ne{bs e g}if{{P}{{{DS}{DD}{gs 12 OB np
784 bW 2 dv/bd x
785 lW 2 dv e D NH e{D bd p M bd n p l}for
786 st gr}{gs 12 OB np
787 lW 2 dv 0 xl NH 1 sc
788 bW 2 dv wF m nH 1 a dv/bd x
789 0 1 nH{D 1 a bd m o o p M n p l}for SM st gr}{P}{DB}{gs 12 OB
790 np 0 lW 2 dv o o n p M p l bW 2 dv
791 wF m o o p l n p l
792 cp f gr}{P}{gs 12 OB/bL x
793 bW 2 dv D lW lt{P lW}if/bd x np 0 0 p M
794 bL bd 4 m dv ru 2 o o lt{e}if P cvi/nSq x
795 bL nSq 2 m dv D sc
796 nSq{.135 .667 .865 .667 1 0 rcurveto
797 .135 -.667 .865 -.667 1 0 rcurveto}rp SM st gr}{gs 12 OB
798 np 0 lW 2 dv o o n p M p l bW 2 dv
799 wF m o o p l n p l
800 cp SM lW 0.8 m sl st gr}{P}{4 2 r gs OP/rad x 1 SA DA gr}{P}}o 1 g 1 s g e 2 4 gi al P
801 5 -1 r xc}{al P 8 ix 1 eq{DD}{DS}ie 5 -1 r 2 eq{DB}{DS}ie P}{DT}}o 0 g g xc}b/ed{gs cpt np cw 2 dv 0 360 arc f gr}b
802 /SPe{gs 0 e xl 1 1 S dv D n sc CMT currentmatrix P lW sl 4.0 setmiterlimit
803 np}b/ws{Wd 0 32 4 -1 roll widthshow}b/blank/Times-Roman findfont/CharStrings
804 g/space g d/mv 256 array d/NUL/SOH/STX/ETX/EOT/ENQ/ACK/BEL/BS/HT/LF/VT/FF/CR/SO/SI
805 /DLE/DC1/DC2/DC3/DC4/NAK/SYN/ETB/CAN/EM/SUB/ESC/FS/GS/RS/US
806 mv 0 32 gi as P
807 mv 32/Times-Roman findfont/Encoding get
808 32 96 gi putinterval
809 mv 39/quotesingle put
810 mv 96/grave put/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis/Udieresis/aacute
811 /agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute/egrave
812 /ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde/oacute
813 /ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex/udieresis
814 /dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
815 /registered/copyright/trademark/acute/dieresis/notequal/AE/Oslash
816 /infinity/plusminus/lessequal/greaterequal/yen/mu/partialdiff/summation
817 /product/pi/integral/ordfeminine/ordmasculine/Omega/ae/oslash
818 /questiondown/exclamdown/logicalnot/radical/florin/approxequal/Delta/guillemotleft
819 /guillemotright/ellipsis/blank/Agrave/Atilde/Otilde/OE/oe
820 /endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide/lozenge
821 /ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright/fi/fl
822 /daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand/Acircumflex/Ecircumflex/Aacute
823 /Edieresis/Egrave/Iacute/Icircumflex/Idieresis/Igrave/Oacute/Ocircumflex
824 /apple/Ograve/Uacute/Ucircumflex/Ugrave/dotlessi/circumflex/tilde
825 /macron/breve/dotaccent/ring/cedilla/hungarumlaut/ogonek/caron
826 mv 128 128 gi as P/fSt 50 string d(ChemDraw)fSt copy P/fD{D/Symbol eq{findfont[1 0 0 -1 0 0]makefont}{D {findfont}stopped{/Helvetica findfont}if
827 D length dict/newdict x{1 index/FID ne{1 index/FontMatrix eq{[1 0 0 -1 0 0]matrix concatmatrix}if
828 newdict 3 1 r put}{P P}ie}forall
829 newdict/Encoding mv put
830 fSt 8 fSt length 8 sub gi cvs length 8 add
831 fSt 0 rot gi cvn newdict definefont}ie}b/ts{gs xl ro 0 0 M}b/nl{0 e xl 0 0 M}b/tx{ft e g e sf m rot D 96 and 0 ne{64 and 0 ne{-0.5}{0.25}ie e 0.75 m}{P 0 e}ie
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833 end
834 %%EndProcSet
835
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894 8071 783 5832 3228 39 Ar
895
896 gs
897 2752 1078 M
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900 ed
901 st
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904 3198 1625 M
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907 ed
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911 3175 1587 M
912 3721 1587 ed
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966 4079 3502 1579 645 39 Ar
967
968 0 6906 1820 ts
969 -144 0 M
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971 0 tx
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974
975 0 7493 1209 ts
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978 (H)show
979 32 10
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981 (2)show
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990
991 0 7523 2965 ts
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996
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1003
1004 0 6990 3826 ts
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1008 (polyacrylic acid)show
1009 gr
1010
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1016
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1045
1046 0 2959 2248 ts
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1051 gr
1052
1053 0 2796 4350 ts
1054 -1363 0 M
1055 0 14.7
1056 1 tx
1057 (N-isopropylacrylamide)show
1058 gr
1059
1060 0 4154 3632 ts
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1066
1067 %%Trailer
1068 showpage
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1070
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