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The PHASEGO package extracts the Helmholtz free energy from the phonon density of states obtained by the first-principles calculations. With the help of equation of states fitting, it reduces the Gibbs free energy as a function of…

Materials Science · Physics 2015-06-23 Zhong-Li Liu

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

To address the effects of lattice anharmonicity across the perovskite to post-perovskite transition in MgSiO$_3$, we conduct calculations using the phonon quasiparticle (PHQ) approach. The PHQ is based on \textit{ab initio} molecular…

Materials Science · Physics 2022-12-05 Zhen Zhang , Renata M. Wentzcovitch

We use a hybrid strategy to obtain anharmonic frequency shifts and lifetimes of phonon quasi-particles from first principles molecular dynamics simulations in modest size supercells. This approach is effective irrespective of crystal…

Materials Science · Physics 2015-06-18 Dong-Bo Zhang , Tao Sun , Renata M. Wentzcovitch

Accelerating the calculations of finite-temperature thermodynamic properties is a major challenge for rational materials design. Reliable methods can be quite expensive, limiting their effective applicability in autonomous high-throughput…

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

We here introduce a Fortran code that computes anharmonic free energy of solids from first-principles based on our phonon quasiparticle approach. In this code, phonon quasiparticle properties, i.e., renormalized phonon frequencies and…

Materials Science · Physics 2019-06-19 Zhen Zhang , Dong-Bo Zhang , Tao Sun , Renata Wentzcovitch

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

Harmonic calculations based on density-functional theory are generally the method of choice for the description of phonon spectra of metals and insulators. The inclusion of anharmonic effects is, however, delicate as it relies on…

Materials Science · Physics 2015-06-17 Ion Errea , Matteo Calandra , Francesco Mauri

The Quasi-harmonic (QH) approximation uses harmonic vibrational frequencies omega(H,Q,V), computed at volumes V near the volume where the Born-Oppenheimer (BO) energy is minimum. When this is used in the harmonic free energy, QH…

Materials Science · Physics 2015-08-19 Philip B. Allen

A first-principles approach called the {\it{self-consistent quasiharmonic approximation}} (SC-QHA) method is formulated to calculate the thermal expansion, thermomechanics, and thermodynamic functions of solids at finite temperatures with…

Materials Science · Physics 2016-04-28 Liang-Feng Huang , Xue-Zeng Lu , Emrys Tennessen , James M. Rondinelli

The Helmholtz energy is a key thermodynamic quantity representing available energy to do work at a constant temperature and volume. Despite a well-established methodology from first-principles calculations, a comprehensive tool and database…

Materials Science · Physics 2025-04-25 Nigel Lee En Hew , Luke Allen Myers , Axel van de Walle , Shun-Li Shang , Zi-Kui Liu

The quasiharmonic approximation (QHA) is the simplest nontrivial approximation for interacting phonons under constant pressure, bringing the effects of anharmonicity into temperature dependent observables. Nonetheless, the QHA is often…

The efficient and accurate calculation of how ionic quantum and thermal fluctuations impact the free energy of a crystal, its atomic structure, and phonon spectrum is one of the main challenges of solid state physics, especially when strong…

We present an $\textit{ab initio}$ study of the thermodynamic properties of cubic CaSiO$_3$ perovskite (CaPv) over the pressure and temperature range of the Earth's lower mantle. We compute the anharmonic phonon dispersions throughout the…

Materials Science · Physics 2021-03-31 Zhen Zhang , Renata M. Wentzcovitch

The Quasi-harmonic Approximation (QHA) is a widely used method for calculating the temperature dependence of lattice parameters and the thermal expansion coefficients from first principles. However, applying QHA to anisotropic systems…

Materials Science · Physics 2025-03-13 Samare Rostami , Matteo Giantomassi , Xavier Gonze

In order to calculate thermal properties in automatic fashion, the Quasi-Harmonic Approximation (QHA) has been combined with the Automatic Phonon Library (APL) and implemented within the AFLOW framework for high-throughput computational…

This paper gives a short overview of the calculation of thermal properties of materials from first principles, using the Quasi-Harmonic Approximation (QHA). We first introduce some of the thermal properties of interest and describe how they…

Materials Science · Physics 2011-12-22 Stefano Baroni , Paolo Giannozzi , Eyvaz Isaev

We present a theory and a calculation scheme of structural optimization at finite temperatures within the quasiharmonic approximation (QHA). The theory is based on an efficient scheme of updating the interatomic force constants with the…

Materials Science · Physics 2023-05-02 Ryota Masuki , Takuya Nomoto , Ryotaro Arita , Terumasa Tadano

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
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