--- trunk/COonPt/COonPtAu.tex 2013/06/04 20:22:12 3890 +++ trunk/COonPt/COonPtAu.tex 2013/06/05 18:27:19 3891 @@ -332,45 +332,54 @@ an effect on binding energies and binding site prefere \end{tabular} \label{tab:co_energies} \end{table} - -\subsection{Validation of forcefield selections} -By calculating minimum energies for commensurate systems of -single and double layer Pt and Au systems with 0 and 50\% coverages -(arranged in a c(2x4) pattern), our forcefield selections were able to be -indirectly compared to results shown in the supporting information of Tao -{\it et al.} \cite{Tao:2010}. Five layer thick systems, displaying a 557 facet -were constructed, each composed of 480 metal atoms. Double layers systems -were constructed from six layer thick systems where an entire layer was -removed from both displayed facets to create a double step. By design, the -double step system also contains 480 atoms, five layers thick, so energy -comparisons between the arrangements can be made directly. The positions -of the atoms were allowed to relax, along with the box sizes, before a -minimum energy was calculated. Carbon monoxide, equivalent to 50\% -coverage on one side of the metal system was added in a c(2x4) arrangement -and again allowed to relax before a minimum energy was calculated. -Energies for the various systems are displayed in Table ~\ref{tab:steps}. Examining -the Pt systems first, it is apparent that the double layer system is slightly less stable -then the original single step. However, upon addition of carbon monoxide, the -stability is reversed and the double layer system becomes more stable. This result -is in agreement with DFT calculations in Tao {\it et al.}\cite{Tao:2010}, who also show -that the addition of CO leads to a reversal in the most stable system. While our -results agree qualitatively, quantitatively, they are approximately an order of magnitude -different. Looking at additional stability per atom in kcal/mol, the DFT calculations suggest -an increased stability of 0.1 kcal/mol per Pt atom, whereas we are seeing closer to a 0.4 kcal/mol -increase in stability per Pt atom. - -The gold systems show a much smaller energy difference between the single and double -systems, likely arising from their lower energy per atom values. Additionally, the weaker -binding of CO to Au is evidenced by the much smaller energy change between the two systems, -when compared to the Pt results. This limited change helps explain our lack of any reconstruction -on the Au systems. +\subsection{Forcefield validation} +The CO-metal cross interactions were compared directly to DFT results +found in the supporting information of Tao {\it et al.} +\cite{Tao:2010} These calculations are estimates of the stabilization +energy provided to double-layer reconstructions of the perfect 557 +surface by an overlayer of CO molecules in a $c (2 \times 4)$ pattern. +To make the comparison, metal slabs that were five atoms thick and +which displayed a 557 facet were constructed. Double-layer +(reconstructed) systems were created using six atomic layers where +enough of a layer was removed from both exposed 557 facets to create +the double step. In all cases, the metal slabs contained 480 atoms +and were minimized using steepest descent under the EAM force +field. Both the bare metal slabs and slabs with 50\% carbon monoxide +coverage (arranged in the $c (2 \times 4)$ pattern) were used. The +systems are periodic along and perpendicular to the step-edge axes +with a large vacuum above the displayed 557 facet. +Energies using our force field for the various systems are displayed +in Table ~\ref{tab:steps}. The relative energies are calculated as +$E_{relative} = E_{system} - E_{M-557-S} - N_{CO} E_{CO-M}$, +where $E_{CO-M}$ is -1.84 eV for CO-Pt and -0.39 eV for CO-Au. For +platinum, the bare double layer is slightly less stable then the +original single (557) step. However, addition of carbon monoxide +stabilizes the reconstructed double layer relative to the perfect 557. +This result is in qualitative agreement with DFT calculations in Tao +{\it et al.}\cite{Tao:2010}, who also showed that the addition of CO +leads to a reversal in stability. + +The DFT calculations suggest an increased stability of 0.1 kcal/mol +per Pt atom, while our force field gives an approximately 0.4 kcal/mol +increase in stability per Pt atom. + +The gold systems show much smaller energy differences between the +single and double layers. The weaker binding of CO to Au is evidenced +by the much smaller change in relative energy between the structures +when carbon monoxide is present. Additionally, as CO-Au binding is +much weaker, it would be unlikely that CO would approach the 50\% +coverage levels operating temperatures. %Table of single step double step calculations \begin{table}[H] -\caption{Minimized single point energies of unit cell crystals displaying (S)ingle or (D)double steps. Systems are periodic along and perpendicular to the step-edge axes with a large vacuum above the displayed 557 facet. The relative energies are calculated as $E_{relative} = E_{system} - E_{M-557-S} - N_{CO}\Delta E_{CO-M}$ , where $E_{CO-M}$ is -1.84 eV for Pt-CO and -0.39 eV for Pt-CO. The addition of CO in a 50\% c(2x4) coverage acts as a stabilizing presence and suggests a driving force for the observed reconstruction on the highest coverage Pt system. All energies are in kcal/mol.} + \caption{Minimized single point energies of (S)ingle and (D)ouble + steps. The addition of CO in a 50\% $c(2 \times 4)$ coverage acts as a + stabilizing presence and suggests a driving force for the observed + reconstruction on the highest coverage Pt system. All energies are + in kcal/mol.} \centering \begin{tabular}{| c | c | c | c | c | c |} \hline