| 1 |
< |
\chapter{\label{chap:ice}PHASE BEHAVIOR OF WATER IN COMPUTER SIMULATIONS} |
| 1 |
> |
\chapter{\label{chap:ice}PHASE BEHAVIOR OF WATER IN COMPUTER \\ SIMULATIONS} |
| 2 |
|
|
| 3 |
|
As discussed in the previous chapter, water has proven to be a |
| 4 |
|
challenging substance to depict in simulations, and a variety of |
| 427 |
|
\cmidrule(lr){2-6} |
| 428 |
|
& \multicolumn{5}{c}{(kcal mol$^{-1}$)} \\ |
| 429 |
|
\midrule |
| 430 |
< |
TIP5P-E & -10.76(4) & -10.72(4) & & - & -10.68(4) \\ |
| 431 |
< |
TIP4P-Ew & & -11.77(3) & & - & -11.60(3) \\ |
| 432 |
< |
SPC/E & -12.98(3) & -11.60(3) & & - & -12.93(3) \\ |
| 433 |
< |
SSD/RF & -11.81(4) & -11.65(3) & & -12.41(4) & - \\ |
| 434 |
< |
TRED & -12.58(3) & -12.44(3) & & -13.09(4) & - \\ |
| 430 |
> |
TIP5P-E & & & & - & \\ |
| 431 |
> |
TIP4P-Ew & & -13.09(3) & & - & -12.98(3) \\ |
| 432 |
> |
SPC/E & -12.99(3) & -13.00(3) & & - & -12.99(3) \\ |
| 433 |
> |
SSD/RF & -11.83(3) & -11.66(4) & -12.32(3) & -12.39(3) & - \\ |
| 434 |
> |
TRED & -12.61(3) & -12.43(3) & -12.89(3) & -13.12(3) & - \\ |
| 435 |
|
\end{tabular} |
| 436 |
|
\label{tab:dampedFreeEnergy} |
| 437 |
|
\end{table} |
| 438 |
+ |
The results of these calculations in table \ref{tab:dampedFreeEnergy} |
| 439 |
+ |
show similar behavior to the Ewald results in figure |
| 440 |
+ |
\ref{fig:incCutoff}, at least for SSD/RF and SPC/E which are present |
| 441 |
+ |
in both. The ice polymorph Helmholtz free energies for SSD/RF order in |
| 442 |
+ |
the same fashion; however Ice-$i$ and ice B are quite a bit closer in |
| 443 |
+ |
free energy (nearly isoenergetic). The free energy differences between |
| 444 |
+ |
ice polymorphs for TRED water parallel SSD/RF, with the exception that |
| 445 |
+ |
ice B is destabilized such that it is no longer nearly isoenergetic |
| 446 |
+ |
with Ice-$i$. |
| 447 |
|
|
| 439 |
– |
|
| 448 |
|
\section{Conclusions} |
| 449 |
|
|
| 450 |
|
In this work, thermodynamic integration was used to determine the |