Computing the Helmholtz energy function of solids: Difference between revisions
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There are various methods of computing the [[Helmholtz energy function]] of solid phases. | There are various methods of computing the [[Helmholtz energy function]] of solid phases. | ||
The most widely used is the procedure | The most widely used is the procedure based on the techniques of [[thermodynamic integration]]. | ||
The usual implementations derive from the paper by Frenkel and Ladd | The usual implementations derive from the paper by Frenkel and Ladd <ref>[http://dx.doi.org/10.1063/1.448024 Daan Frenkel and Anthony J. C. Ladd, "New Monte Carlo method to compute the free energy of arbitrary solids. Application to the fcc and hcp phases of hard spheres", Journal of Chemical Physics '''81''' pp. 3188-3193 (1984)]</ref> which makes use of the [[Einstein crystal]] concept. | ||
Recently, a more efficient formalism has been developed by N. G. Almarza <ref>[http://dx.doi.org/10.1063/1.2746231 N. G. Almarza, "Computation of the free energy of solids", Journal of Chemical Physics '''126''' 211103 (2007)]</ref>. | |||
==See also== | ==See also== | ||
*[[Entropy of ice phases]] | *[[Entropy of ice phases]] | ||
*[[Gibbs-Duhem integration]] | |||
*[[Self-referential method]] | |||
== References == | == References == | ||
<references/> | |||
'''Related reading''' | |||
*[http://dx.doi.org/10.1063/1.1701730 William G. Hoover and Francis H. Ree "Use of Computer Experiments to Locate the Melting Transition and Calculate the Entropy in the Solid Phase", Journal of Chemical Physics '''47''' pp. 4873-4878 (1967)] | |||
*[http://dx.doi.org/10.1063/1.1670641 William G. Hoover and Francis H. Ree "Melting Transition and Communal Entropy for Hard Spheres", Journal of Chemical Physics '''49''' pp. 3609-3617 (1968)] | |||
*[http://dx.doi.org/10.1063/1.481102 J. M. Polson, E. Trizac, S. Pronk, and D. Frenkel, "Finite-size corrections to the free energies of crystalline solids", The Journal of Chemical Physics '''112''', pp. 5339-5342 (2000)] | |||
*[http://dx.doi.org/10.1063/1.2790426 Carlos Vega and Eva G. Noya "Revisiting the Frenkel-Ladd method to compute the free energy of solids: The Einstein molecule approach", Journal of Chemical Physics '''127''' 154113 (2007)] | |||
*[http://dx.doi.org/10.1063/1.2794041 Enrique de Miguel, Ramona G. Marguta and Elvira M. del Río "System-size dependence of the free energy of crystalline solids", Journal of Chemical Physics '''127''' 154512 (2007)] | |||
*[http://dx.doi.org/10.1063/1.3483899 Tai Boon Tan, Andrew J. Schultz, and David A. Kofke "Efficient calculation of temperature dependence of solid-phase free energies by overlap sampling coupled with harmonically targeted perturbation", Journal of Chemical Physics 133, 134104 (2010)] | |||
*[http://dx.doi.org/10.1080/00268976.2015.1005704 Martin B. Sweatman "Comparison of absolute free energy calculation methods for fluids and solids", Molecular Physics '''113''' pp. 1206-1216 (2015)] | |||
*[http://dx.doi.org/10.1063/1.4944069 C. Calero1, C. Knorowski and A. Travesset "Determination of anharmonic free energy contributions: Low temperature phases of the Lennard-Jones system", Journal of Chemical Physics '''144''' 124102 (2016)] | |||
[[Category: Monte Carlo]] | [[Category: Monte Carlo]] | ||
Latest revision as of 15:29, 5 April 2016
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There are various methods of computing the Helmholtz energy function of solid phases. The most widely used is the procedure based on the techniques of thermodynamic integration. The usual implementations derive from the paper by Frenkel and Ladd [1] which makes use of the Einstein crystal concept. Recently, a more efficient formalism has been developed by N. G. Almarza [2].
See also[edit]
References[edit]
- ↑ Daan Frenkel and Anthony J. C. Ladd, "New Monte Carlo method to compute the free energy of arbitrary solids. Application to the fcc and hcp phases of hard spheres", Journal of Chemical Physics 81 pp. 3188-3193 (1984)
- ↑ N. G. Almarza, "Computation of the free energy of solids", Journal of Chemical Physics 126 211103 (2007)
Related reading
- William G. Hoover and Francis H. Ree "Use of Computer Experiments to Locate the Melting Transition and Calculate the Entropy in the Solid Phase", Journal of Chemical Physics 47 pp. 4873-4878 (1967)
- William G. Hoover and Francis H. Ree "Melting Transition and Communal Entropy for Hard Spheres", Journal of Chemical Physics 49 pp. 3609-3617 (1968)
- J. M. Polson, E. Trizac, S. Pronk, and D. Frenkel, "Finite-size corrections to the free energies of crystalline solids", The Journal of Chemical Physics 112, pp. 5339-5342 (2000)
- Carlos Vega and Eva G. Noya "Revisiting the Frenkel-Ladd method to compute the free energy of solids: The Einstein molecule approach", Journal of Chemical Physics 127 154113 (2007)
- Enrique de Miguel, Ramona G. Marguta and Elvira M. del Río "System-size dependence of the free energy of crystalline solids", Journal of Chemical Physics 127 154512 (2007)
- Tai Boon Tan, Andrew J. Schultz, and David A. Kofke "Efficient calculation of temperature dependence of solid-phase free energies by overlap sampling coupled with harmonically targeted perturbation", Journal of Chemical Physics 133, 134104 (2010)
- Martin B. Sweatman "Comparison of absolute free energy calculation methods for fluids and solids", Molecular Physics 113 pp. 1206-1216 (2015)
- C. Calero1, C. Knorowski and A. Travesset "Determination of anharmonic free energy contributions: Low temperature phases of the Lennard-Jones system", Journal of Chemical Physics 144 124102 (2016)