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Page 7 of 12 Physical Chemistry Chemical Physics<br />

Downloaded by UNIVERSIDAD COMPLUTENSE MADRID on 04 June 2012<br />

Published on 22 May 2012 on http://pubs.rsc.org | doi:10.1039/C2CP40962C<br />

E/N (kcal.mol −1 )<br />

−12<br />

−12.2<br />

−12.4<br />

−12.6<br />

−12.8<br />

−13<br />

−13.2<br />

−13.4<br />

0.0⋅10 0<br />

266 K<br />

2.5⋅10 6<br />

5.0⋅10 6<br />

7.5⋅10 6<br />

Monte Carlo cycles<br />

262 K<br />

252 K<br />

240 K<br />

1.0⋅10 7<br />

Fig. 2 Plot of the total energy (E) per particle from the liquid-Ih<br />

direct coexistence simulations of the quantum system at p=1 bar.<br />

pressure (bar)<br />

12000<br />

10000<br />

8000<br />

6000<br />

4000<br />

2000<br />

VI<br />

V<br />

II III<br />

Ih<br />

0<br />

140 160 180 200 220 240 260 280 300 320<br />

temperature (K)<br />

liquid<br />

Fig. 3 Phase diagram of water from path integral simulations of the<br />

TIP4PQ/2005 model. Experimental results (blue points) are also<br />

shown 1,56<br />

Δv (cm 3 Δv (cm /mol)<br />

3 /mol)<br />

4.5<br />

4<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

II-Ih<br />

VI-II<br />

III-Ih<br />

V-III<br />

VI-V<br />

V-II<br />

w-Ih<br />

V-w<br />

III-w<br />

VI-w<br />

II-III<br />

0<br />

140 160 180 185 200 220 240 230 260 280 275 300 320 340 320<br />

4.5<br />

4<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

temperature (K)<br />

II-Ih<br />

III-Ih<br />

w-Ih<br />

V-w<br />

V-III<br />

V-II VI-V<br />

VI-w<br />

0.5<br />

II-III<br />

III-w<br />

0<br />

200 230 260 290 320<br />

Fig. 4 Molar volume change (Δv=vB− vA) along the phase<br />

boundaries from (Left) path integral simulations and (Right)<br />

experimental results 1 . (w indicates the liquid phase).<br />

pressure (bar)<br />

12000<br />

10000<br />

8000<br />

6000<br />

4000<br />

2000<br />

0<br />

140 160 180 200 220 240 260 280 300<br />

temperature (K)<br />

liquid<br />

View Online<br />

Fig. 5 Classical phase diagram of the TIP4PQ/2005 model (dashed<br />

blue lines) compared to the diagram obtained from path integral<br />

simulations (solid red lines).<br />

1–10 | 7<br />

Physical Chemistry Chemical Physics <strong>Accepted</strong> <strong>Manuscript</strong>

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