Plastic crystal phases of simple water models.

We report the appearance of two plastic crystal phases of water at high pressure and temperature using computer simulations. In one of them the oxygen atoms form a body centered cubic structure (bcc) and in the other they form a face centered cubic structure (fcc). In both cases the water molecules were able to rotate almost freely. We have found that the bcc plastic crystal transformed into a fcc plastic crystal via a Martensitic phase transition when heated at constant pressure. We have performed the characterization and localization in the phase diagram of these plastic crystal phases for the SPC/E, TIP4P, and TIP4P/2005 water potential models. For TIP4P/2005 model free energy calculations were carried out for the bcc plastic crystal and fcc plastic crystal using a new method (which is a slight variation of the Einstein crystal method) proposed for these types of solid. The initial coexistence points for the SPC/E and TIP4P models were obtained using Hamiltonian Gibbs-Duhem integration. For all of these models these two plastic crystal phases appear in the high pressure and temperature region of the phase diagram. It would be of interest to study if such plastic crystal phases do indeed exist for real water. This would shed some light on the question of whether these models can describe satisfactorily the high pressure part of the phase diagram of water, and if not, where and why they fail.

[1]  W. L. Jorgensen,et al.  Comparison of simple potential functions for simulating liquid water , 1983 .

[2]  A. Ladd,et al.  Interfacial and co-existence properties of the Lennard-Jones system at the triple point , 1978 .

[3]  N. Wilding Freezing parameters of soft spheres , 2009 .

[4]  C. Vega,et al.  Determination of phase diagrams via computer simulation: methodology and applications to water, electrolytes and proteins , 2008, 0901.1823.

[5]  Hiroki Nada,et al.  An intermolecular potential model for the simulation of ice and water near the melting point: A six-site model of H2O , 2003 .

[6]  T. Straatsma,et al.  THE MISSING TERM IN EFFECTIVE PAIR POTENTIALS , 1987 .

[7]  Parrinello,et al.  New high-pressure phase of ice. , 1996, Physical review letters.

[8]  S. Nosé,et al.  Constant pressure molecular dynamics for molecular systems , 1983 .

[9]  Daan Frenkel,et al.  New Monte Carlo method to compute the free energy of arbitrary solids. Application to the fcc and hcp phases of hard spheres , 1984 .

[10]  D. Kofke Direct evaluation of phase coexistence by molecular simulation via integration along the saturation line , 1993 .

[11]  Matthieu Marechal,et al.  Stability of orientationally disordered crystal structures of colloidal hard dumbbells. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  M. Hanfland,et al.  Modulated phases and proton centring in ice observed by X-ray diffraction up to 170 GPa , 1999, Nature.

[13]  Paul Loubeyre,et al.  Extended and accurate determination of the melting curves of argon, helium, ice ( H 2 O ) , and hydrogen ( H 2 ) , 2000 .

[14]  J. Lee,et al.  Revised analytic constants for atomic scattering factors , 1969 .

[15]  J. Ilja Siepmann,et al.  Monte carlo methods in chemical physics , 1999 .

[16]  T. Iitaka,et al.  Compression of H 2 O ice to 126 GPa and implications for hydrogen-bond symmetrization: Synchrotron x-ray diffraction measurements and density-functional calculations , 2008 .

[17]  Bin Chen,et al.  Structure and dynamics of the aqueous liquid-vapor interface: a comprehensive particle-based simulation study. , 2006, The journal of physical chemistry. B.

[18]  C. Rao,et al.  A Monte Carlo study of crystal structure transformations , 1985 .

[19]  Gerrit Groenhof,et al.  GROMACS: Fast, flexible, and free , 2005, J. Comput. Chem..

[20]  C. Vega,et al.  Computing the free energy of molecular solids by the Einstein molecule approach: ices XIII and XIV, hard-dumbbells and a patchy model of proteins. , 2008, The Journal of chemical physics.

[21]  G. P. Johari,et al.  Dielectric properties of ice VII and VIII and the phase boundary between ice VI and VII , 1974 .

[22]  L. Dubrovinsky,et al.  MELTING CURVE OF WATER STUDIED IN EXTERNALLY HEATED DIAMOND-ANVIL CELL , 2003 .

[23]  C. Pistorius,et al.  Phase Diagrams of H2O and D2O at High Pressures , 1968 .

[24]  C. Vega,et al.  Phase diagram of water from computer simulation. , 2004, Physical review letters.

[25]  F. Gygi,et al.  Melting of ice under pressure , 2008, Proceedings of the National Academy of Sciences.

[26]  J. Finney,et al.  Structure and hydrogen ordering in ices VI, VII, and VIII by neutron powder diffraction , 1984 .

[27]  Shinji Saito,et al.  Molecular dynamics simulation of the ice nucleation and growth process leading to water freezing , 2002, Nature.

[28]  C. Vega,et al.  The phase diagram of water at high pressures as obtained by computer simulations of the TIP4P/2005 model: the appearance of a plastic crystal phase. , 2009, Physical chemistry chemical physics : PCCP.

[29]  J. V. Eerden,et al.  Free energy calculations on systems of rigid molecules: An application to the TIP4P model of H2O , 1999 .

[30]  A. Ladd,et al.  Triple-point coexistence properties of the lennard-jones system , 1977 .

[31]  S. Rick,et al.  The interface response function and melting point of the prism interface of ice Ih using a fluctuating charge model (TIP4P-FQ) , 2006 .

[32]  D. Davidson,et al.  Ice IX: An Antiferroelectric Phase Related to Ice III , 1968 .

[33]  C. Vega,et al.  Plastic crystal phases of hard dumbbells and hard spherocylinders , 1997 .

[34]  Berend Smit,et al.  Understanding Molecular Simulation , 2001 .

[35]  L. Pusztai,et al.  Comparison of interaction potentials of liquid water with respect to their consistency with neutron diffraction data of pure heavy water. , 2008, The Journal of chemical physics.

[36]  J. N. Johnson,et al.  Nanosecond freezing of water under multiple shock wave compression: continuum modeling and wave profile measurements. , 2005, The Journal of chemical physics.

[37]  Hideki Tanaka,et al.  The melting temperature of proton-disordered hexagonal ice: A computer simulation of 4-site transferable intermolecular potential model of water , 2000 .

[38]  S. Kawada Dielectric Dispersion and Phase Transition of KOH Doped Ice , 1972 .

[39]  System-size dependence of the free energy of crystalline solids. , 2007, The Journal of chemical physics.

[40]  J. Finney,et al.  The Preparation and Structures of Hydrogen Ordered Phases of Ice , 2006, Science.

[41]  D. Davidson,et al.  Dielectric Properties of Ice VII. Ice VIII: A New Phase of Ice , 1966 .

[42]  C. Vega,et al.  A generalized van der Waals theory of solid-fluid equilibria for non-spherical molecules , 1993 .

[43]  X. Zeng,et al.  Melting points and thermal expansivities of proton-disordered hexagonal ice with several model potentials. , 2004, The Journal of chemical physics.

[44]  J. A. Barker,et al.  Structure of water; A Monte Carlo calculation , 1969 .

[45]  H. Mao,et al.  Compression of Ice to 210 Gigapascals: Infrared Evidence for a Symmetric Hydrogen-Bonded Phase , 1996, Science.

[46]  C. Vega,et al.  Solid–fluid equilibria for quadrupolar hard dumbbells via Monte Carlo simulation , 1995 .

[47]  C. Vega,et al.  What ice can teach us about water interactions: a critical comparison of the performance of different water models. , 2009, Faraday discussions.

[48]  M. Lísal,et al.  Accurate vapour–liquid equilibrium calculations for complex systems using the reaction Gibbs ensemble Monte Carlo simulation method , 2001 .

[49]  P M Rodger,et al.  Metadynamics simulations of ice nucleation and growth. , 2008, The Journal of chemical physics.

[50]  S. J. Singer,et al.  Monte Carlo study of fluid-plastic crystal coexistence in hard dumbbells , 1990 .

[51]  M. Parrinello,et al.  Polymorphic transitions in single crystals: A new molecular dynamics method , 1981 .

[52]  Hoover,et al.  Canonical dynamics: Equilibrium phase-space distributions. , 1985, Physical review. A, General physics.

[53]  D. Dolan,et al.  A metastable limit for compressed liquid water , 2007 .

[54]  A. Navrotsky,et al.  Possible presence of high-pressure ice in cold subducting slabs , 2000, Nature.

[55]  P. W. Bridgman Water in the liquid and five solid forms under pressure , 1912 .

[56]  R. Boehler,et al.  Melting curve of H2O to 90 GPa measured in a laser-heated diamond cell , 2004 .

[57]  Finite-size corrections to the free energies of crystalline solids , 1999, cond-mat/9909162.

[58]  Efficient sampling of ice structures by electrostatic switching. , 2008, The journal of physical chemistry. B.

[59]  C. Vega,et al.  Triple points and coexistence properties of the dense phases of water calculated using computer simulation. , 2009, Physical chemistry chemical physics : PCCP.

[60]  J. Cape,et al.  Molecular dynamics calculation of phase coexistence properties: The soft-sphere melting transition , 1978 .

[61]  W. Ostwald Studien über die Bildung und Umwandlung fester Körper , 1897 .

[62]  M. Hanfland,et al.  EQUATION OF STATE OF ICE VII UP TO 106 GPA , 1997 .

[63]  C. Vega,et al.  Application of cell theory to the thermodynamic properties of hard dumbbell solids , 1992 .

[64]  J. Finney,et al.  The structure of a new phase of ice , 1998, Nature.

[65]  L. Fried,et al.  Dynamic ionization of water under extreme conditions. , 2005, Physical review letters.

[66]  O. Mishima,et al.  Melting curve of ice VII , 1978 .

[67]  F. Stillinger,et al.  Molecular Dynamics Study of Liquid Water , 1971 .

[68]  M. Parrinello,et al.  Tunnelling and zero-point motion in high-pressure ice , 1998, Nature.

[69]  C. Vega,et al.  A general purpose model for the condensed phases of water: TIP4P/2005. , 2005, The Journal of chemical physics.

[70]  C. Vega,et al.  Revisiting the Frenkel-Ladd method to compute the free energy of solids: the Einstein molecule approach. , 2007, The Journal of chemical physics.

[71]  H. Mao,et al.  In situ high-pressure x-ray diffraction study of H2O ice VII. , 2008, The Journal of chemical physics.

[72]  P. Jungwirth,et al.  Homogeneous freezing of water starts in the subsurface. , 2006, The journal of physical chemistry. B.

[73]  H. Mao,et al.  Static compression of H2O-ice to 128 GPa (1.28 Mbar) , 1987, Nature.

[74]  Svishchev,et al.  Crystallization of liquid water in a molecular dynamics simulation. , 1994, Physical review letters.

[75]  T. Darden,et al.  A smooth particle mesh Ewald method , 1995 .

[76]  A. D. J. Haymet,et al.  The ice/water interface: A molecular dynamics simulation study , 1988 .

[77]  B. Militzer,et al.  High pressure-temperature Raman measurements of H2O melting to 22 GPa and 900 K. , 2004, The Journal of chemical physics.

[78]  Hideki Tanaka,et al.  A plastic phase of water from computer simulation. , 2008, The Journal of chemical physics.

[79]  R. Boehler,et al.  H2O: another ice phase and its melting curve , 2008 .

[80]  D. Kofke,et al.  Solid‐Fluid Equilibrium: Insights from Simple Molecular Models , 2007 .

[81]  S. Nosé A molecular dynamics method for simulations in the canonical ensemble , 1984 .

[82]  Molecular Simulation of Phase Equilibria for Water−n-Butane and Water−n-Hexane Mixtures , 2000 .

[83]  P. W. Bridgman The Phase Diagram of Water to 45,000 kg/cm2 , 1937 .

[84]  C. Vega,et al.  Solid–fluid equilibria for hard dumbbells via Monte Carlo simulation , 1992 .

[85]  C. Vega,et al.  On the stability of the plastic crystal phase of hard dumbbell solids , 1992 .