Ice Ih: Difference between revisions
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The proton ordered form of ice Ih is known as [[ice XI]], which (in principle) forms when ice Ih is cooled to below 72K (it is usually doped with KOH to aid the transition). | The proton ordered form of ice Ih is known as [[ice XI]], which (in principle) forms when ice Ih is cooled to below 72K (it is usually doped with KOH to aid the transition). | ||
==Melting point== | ==Melting point== | ||
The following is a collection of melting points <math>(T_m)</math> for the ice Ih-[[water]] transition: | The following is a collection of melting points <math>(T_m)</math> for the ice Ih-[[water]] transition (experimental value is 273.15 K at 1 bar): | ||
:{| border="1" | :{| border="1" | ||
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| <math>T_m</math> || Pressure || Technique/model || Reference | | <math>T_m</math> || Pressure || Technique/model || Reference | ||
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|<math>190~K</math> || 1 bar || [[SPC]] || <ref name="multiple3"> [http://dx.doi.org/10.1039/b805531a C. Vega, J. L. F. Abascal, M. M. Conde and J. L. Aragones "What ice can teach us about water interactions: a critical comparison of the performance of different water models", Faraday Discussions '''141''' pp. 251-276 (2009)] </ref> | |||
|- | |||
|<math>215(4)~K</math> || 1 bar || [[SPC/E]] / [[Computation of phase equilibria | free energy calculation]] || <ref name="multiple1"> </ref> | |||
|- | |||
|<math>146~K</math> || 1 bar || [[TIP3P]] || <ref name="multiple3"> </ref> | |||
|- | |- | ||
|<math>232(4)~K</math> || 1 bar ||[[TIP4P]] / [[Computation of phase equilibria | free energy calculation]] || <ref name="multiple1">[http://dx.doi.org/10.1080/00268970600967948 Carlos Vega, Maria Martin-Conde and Andrzej Patrykiejew "Absence of superheating for ice Ih with a free surface: a new method of determining the melting point of different water models", Molecular Physics '''104''' pp. 3583-3592 (2006)] </ref> | |<math>232(4)~K</math> || 1 bar ||[[TIP4P]] / [[Computation of phase equilibria | free energy calculation]] || <ref name="multiple1">[http://dx.doi.org/10.1080/00268970600967948 Carlos Vega, Maria Martin-Conde and Andrzej Patrykiejew "Absence of superheating for ice Ih with a free surface: a new method of determining the melting point of different water models", Molecular Physics '''104''' pp. 3583-3592 (2006)] </ref> | ||
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|<math>245.5(6)~K</math> || 1 bar || [[TIP4P/Ew]] / [[Computation of phase equilibria | free energy calculation]] || <ref name="multiple1"> </ref> | |<math>245.5(6)~K</math> || 1 bar || [[TIP4P/Ew]] / [[Computation of phase equilibria | free energy calculation]] || <ref name="multiple1"> </ref> | ||
|- | |- | ||
| <math>252(6)~K</math> || 1 bar || [[TIP4P/2005]] / [[Computation of phase equilibria | free energy calculation]] || <ref name="multiple1"> </ref> | | <math>252(6)~K</math> || 1 bar || [[TIP4P/2005]] / [[Computation of phase equilibria | free energy calculation]] || <ref name="multiple1"> </ref> | ||
|- | |- | ||
|- | |<math>274~K</math> || 1 bar || [[TIP5P]] || <ref name="multiple3"> </ref> | ||
|- | |||
|<math>289~K</math> || 1 bar || [[NvdE]] || <ref>[http://dx.doi.org/10.1063/1.2360276 José L. F. Abascal, Ramón García Fernández, Carlos Vega and Marcelo A. Carignano, "The melting temperature of the six site potential model of water", Journal of Chemical Physics, '''125''' 166101 (2006)]</ref> | |<math>289~K</math> || 1 bar || [[NvdE]] || <ref>[http://dx.doi.org/10.1063/1.2360276 José L. F. Abascal, Ramón García Fernández, Carlos Vega and Marcelo A. Carignano, "The melting temperature of the six site potential model of water", Journal of Chemical Physics, '''125''' 166101 (2006)]</ref> | ||
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Revision as of 13:47, 12 June 2009
Ice Ih (hexagonal ice) is a proton disordered ice phase having the space group P63/mmc. Ice Ih has the following lattice parameters at 250 K: a=4.51842 Å, , and c=7.35556 Å with four molecules per unit cell (in Table 3 of [1]). The proton ordered form of ice Ih is known as ice XI, which (in principle) forms when ice Ih is cooled to below 72K (it is usually doped with KOH to aid the transition).
Melting point
The following is a collection of melting points for the ice Ih-water transition (experimental value is 273.15 K at 1 bar):
Pressure Technique/model Reference 1 bar SPC [2] 1 bar SPC/E / free energy calculation [3] 1 bar TIP3P [2] 1 bar TIP4P / free energy calculation [3] 1 bar TIP4P/Ice / free energy calculation [3] 1 bar TIP4P/Ew / free energy calculation [3] 1 bar TIP4P/2005 / free energy calculation [3] 1 bar TIP5P [2] 1 bar NvdE [4] 2500 bar Perdew-Burke-Ernzerhof functional [5] 10,000 bar Becke-Lee-Yang-Parr functional [5]
Radial distribution function
Phonon density of states
In [6] the phonon density of states for the POL1, TIPS2, TIP4P, TIP3P, SPC, Rowlinson, MCY, and BF models for water are compared to experiment.
Experimental data
References
- ↑ K. Röttger, A. Endriss, J. Ihringer, S. Doyle and W. F. Kuhs "Lattice constants and thermal expansion of H2O and D2O ice Ih between 10 and 265 K", Acta Crystallographica Section B 50 pp. 644-648 (1994)
- ↑ 2.0 2.1 2.2 C. Vega, J. L. F. Abascal, M. M. Conde and J. L. Aragones "What ice can teach us about water interactions: a critical comparison of the performance of different water models", Faraday Discussions 141 pp. 251-276 (2009)
- ↑ 3.0 3.1 3.2 3.3 3.4 Carlos Vega, Maria Martin-Conde and Andrzej Patrykiejew "Absence of superheating for ice Ih with a free surface: a new method of determining the melting point of different water models", Molecular Physics 104 pp. 3583-3592 (2006)
- ↑ José L. F. Abascal, Ramón García Fernández, Carlos Vega and Marcelo A. Carignano, "The melting temperature of the six site potential model of water", Journal of Chemical Physics, 125 166101 (2006)
- ↑ 5.0 5.1 Soohaeng Yoo, Xiao Cheng Zeng, and Sotiris S. Xantheas "On the phase diagram of water with density functional theory potentials: The melting temperature of ice Ih with the Perdew–Burke–Ernzerhof and Becke–Lee–Yang–Parr functionals", Journal of Chemical Physics 130 221102 (2009)
- ↑ Shunle Dong and Jichen Li "The test of water potentials by simulating the vibrational dynamics of ice", Physica B 276-278 pp. 469-470 (2000)
Related reading
- Linus Pauling "The Structure and Entropy of Ice and of Other Crystals with Some Randomness of Atomic Arrangement", Journal of the American Chemical Society 57 pp. 2674 - 2680 (1935)
- E. G. Noya, C. Menduiña, J. L. Aragones, and C. Vega "Equation of State, Thermal Expansion Coefficient, and Isothermal Compressibility for Ices Ih, II, III, V, and VI, as Obtained from Computer Simulation", Journal of Physical Chemistry C 111 pp. 15877 - 15888 (2007)
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