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A tight-binding model is fit to first-principles calculations for copper that include structures distorted according to elastic constants and high-symmetry phonon modes. With the resulting model the first-principles-based phonon dispersion…

Materials Science · Physics 2009-11-07 Sven P. Rudin , M. D. Jones , C. W. Greeff , R. C. Albers

We have investigated the finite temperature elastic properties of AlRE (RE=Y, Tb, Pr, Nd, Dy) with B2-type structures from first principles. The phonon free energy and thermal expansion is obtained from the quasiharmonic approach based on…

Materials Science · Physics 2011-11-08 Rui Wang , Shaofeng Wang , Xiaozhi Wu

The anharmonicity resulted from the intrinsic phonon interaction is neglected by quasiharmonic approximation. Although the intensive researches about anharmonicity have been done, up to now the free energy contributed by the anharmonicity…

Statistical Mechanics · Physics 2007-05-23 Zhongqing Wu , Renata M. Wentzcovitch

The calculation of free energies from first principles in materials is a formidable task which enables the prediction of phase stability with high accuracy; these calculations are complicated in magnetic materials by the interplay of…

Materials Science · Physics 2023-01-18 Davide Gambino , Johan Klarbring , Björn Alling

We investigate the elastic and isotropic aggregate properties of ferromagnetic bcc iron as a function of temperature and pressure by computing the Helmholtz free energies for the volume-conserving strained structures using the…

Materials Science · Physics 2009-11-11 Xianwei Sha , R. E. Cohen

In the realm of thermal expansion determination, the quasiharmonic approximation (QHA) stands as a widely embraced method for discerning minima of free energies across diverse temperatures such that the temperature dependence of lattice…

Materials Science · Physics 2024-07-12 Samare Rostami , Xavier Gonze

The first-principles calculation of contributions of phonon and electron excitations to free formation, binding, and migration energies of defects is illustrated in the case of bcc-Fe. First of all, the ground state properties of the…

Materials Science · Physics 2015-08-11 D. Murali , M. Posselt , M. Schiwarth

Conventional methods to calculate the thermodynamics of crystals evaluate the harmonic phonon spectra and therefore do not work in frequent and important situations where the crystal structure is unstable in the harmonic approximation, such…

Statistical Mechanics · Physics 2009-11-13 P. Souvatzis , O. Eriksson , M. I. Katsnelson , S. P. Rudin

We have used ab-initio density functional theory technique to understand the phase transitions and structural changes in various high temperature/pressure phases of LiAlO2. The electronic band structure as well as phonon spectra are…

Materials Science · Physics 2018-06-05 Baltej Singh , M. K. Gupta , R. Mittal , S. L. Chaplot

The free energy and other thermodynamic properties of hexagonal-close-packed iron are calculated by direct {\em ab initio} methods over a wide range of pressures and temperatures relevant to the Earth's core. The {\em ab initio}…

Condensed Matter · Physics 2007-05-23 D. Alfe` , G. D. Price , M. J. Gillan

We report first-principles calculations of the phonon dispersion spectrum, thermal expansion, and heat capacity of uranium dioxide. The so-called direct method, based on the quasiharmonic approximation, is used to calculate the phonon…

Materials Science · Physics 2015-05-30 Younsuk Yun , Dominik Legut , Peter M. Oppeneer

The Gibbs free energy is the fundamental thermodynamic potential underlying the relative stability of different states of matter under constant-pressure conditions. However, computing this quantity from atomic-scale simulations is far from…

Materials Science · Physics 2018-02-14 Bingqing Cheng , Michele Ceriotti

The calculation of the interfacial free energy between two thermodynamic phases is crucial across various fields, including materials science, chemistry, and condensed matter physics. In this study, we apply an existing thermodynamic…

Soft Condensed Matter · Physics 2024-11-26 Ignacio Sanchez-Burgos , Pablo Montero de Hijes , Eduardo Sanz , Carlos Vega , Jorge R. Espinosa

We investigate the equation of state and elastic properties of hcp iron at high pressures and high temperatures using first principles linear response linear-muffin-tin-orbital method in the generalized-gradient approximation. We calculate…

Materials Science · Physics 2015-05-14 Xianwei Sha , R. E. Cohen

Motivated by the negative thermal expansion observed for silicon between 20 K and 120 K, we present first an ab initio study of the volume dependence of interatomic force constants, phonon frequencies of TA(X) and TA(L) modes, and of the…

mtrl-th · Physics 2009-10-28 G. -M. Rignanese , J. -P. Michenaud , X. Gonze

The quasi-harmonic approximation (QHA) is a powerful method that uses the volume dependence of non-interacting phonons to compute the free energy of materials at high pressures (P) and temperatures (T). However, anharmonicity, electronic…

Computational Physics · Physics 2023-08-09 Hongjin Wang , Jingyi Zhuang , Zhen Zhang , Qi Zhang , Renata M. Wentzcovitch

The microscopic origin of the large negative thermal expansion of cubic scandium trifluorides (ScF3) is investigated by performing a set of anharmonic free-energy calculations based on density functional theory. We demonstrate that the…

Materials Science · Physics 2019-03-13 Yusuke Oba , Terumasa Tadano , Ryosuke Akashi , Shinji Tsuneyuki

The thermodynamic properties of hcp-iron ({\epsilon}-Fe) are essential for investigating planetary cores' internal structure and dynamic properties. Despite their importance to planetary sciences, experimental investigations of…

Materials Science · Physics 2021-04-21 Jingyi Zhuang , Hongjin Wang , Qi Zhang , Renata M. Wentzcovitch

To study temperature dependent elastic constants, a new computational method is proposed by combining continuum elasticity theory and first principles calculations. A Gibbs free energy function with one variable with respect to strain at…

Materials Science · Physics 2015-06-03 Tianjiao Shao , Bin Wen , Roderick Melnik , Shan Yao , Yoshiyuki Kawazoe , Yongjun Tian

We compute the lattice-dynamical and thermal equation of state properties of ferromagnetic bcc iron using the first principles linear response linear-muffin-tin-orbital method in the generalized-gradient approximation. The calculated phonon…

Materials Science · Physics 2009-11-11 Xianwei Sha , R. E. Cohen
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