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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 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 quasiharmonic approximation (QHA), in its simplest form also called the statically constrained (SC) QHA, has been shown to be a straightforward method to compute thermoelastic properties of crystals. Recently we showed that for…

Materials Science · Physics 2009-11-13 Pierre Carrier , João F. Justo , Renata M. Wentzcovitch

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

An innovative method is developed for accurate determination of thermodynamic properties as a function of temperature by revisiting the density functional theory (DFT) based quasiharmonic approach (QHA). The present methodology individually…

Materials Science · Physics 2024-05-16 Shun-Li Shang , Rushi Gong , Michael C. Gao , Darren C. Pagan , Zi-Kui Liu

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

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…

Several thermodynamic properties of ice Ih, II, and III are studied by a quasi-harmonic approximation and compared to results of quantum path integral and classical simulations. This approximation allows to obtain thermodynamic information…

Chemical Physics · Physics 2012-09-24 R. Ramirez , N. Neuerburg , M. -V. Fernandez-Serra , C. P. Herrero

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 this Tutorial, we describe the use of the quasiharmonic approximation and first-principles density functional theory (DFT) to calculate and analyze the thermal expansion of insulating solids. We discuss the theory underlying the…

Materials Science · Physics 2019-11-15 Ethan T. Ritz , Sabrina J. Li , Nicole A. Benedek

The thermal expansion of pure and Ti-bearing fused silica was estimated using free energy minimization lattice dynamics calculations in the quasiharmonic approximation. While the calculations give the expected drop in the coefficient of…

Materials Science · Physics 2014-04-02 James R. Rustad

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…

Despite the widespread use of silicon in modern technology, its peculiar thermal expansion is not well-understood. Adapting harmonic phonons to the specific volume at temperature, the quasiharmonic approximation, has become accepted for…

We present a systematic ab initio study of the thermoelastic properties of hcp osmium as functions of temperature and pressure within the quasi-harmonic approximation (QHA). The precision of the Zero Static Internal Stress Approximation…

Materials Science · Physics 2025-07-22 Xuejun Gong , Andrea Dal Corso

We present the ab-initio thermoelastic properties of body-centered cubic molybdenum under extreme conditions obtained within the quasi-harmonic approximation including both the vibrational and the electronic thermal excitations…

Materials Science · Physics 2024-06-25 Xuejun Gong , Andrea Dal Corso

Methods to efficiently determine the relative stability of polymorphs of organic crystals are highly desired in crystal structure predictions (CSPs). Current methodologies include use of static lattice phonons, quasi-harmonic approximation…

Materials Science · Physics 2020-06-08 Nathan S. Abraham , Michael R. Shirts

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

"Quasi-harmonic" (QH) theory should not be considered a low-order theory of anharmonic effects in crystals, but should be recognized as an important effect separate from "true" anharmonicity. The original and widely used meaning of QH…

Materials Science · Physics 2022-12-06 Philip B. Allen

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

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
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