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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

We present a novel approach to efficiently implement thermal expansion in the quasi-harmonic approximation (QHA) for both isotropic and more importantly, anisotropic expansion. In this approach, we rapidly determine a crystal's equilibrium…

Materials Science · Physics 2022-12-19 Nathan S. Abraham , Michael R. Shirts

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

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

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 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…

We evaluate the accuracy of varying thermal expansion models for the quasi-harmonic approximation (QHA) relative to molecular dynamics (MD) for 10 sets of enantiotropic organic polymorphs. Relative to experiment we find that MD, using an…

Materials Science · Physics 2019-10-18 Nathan S. Abraham , Michael R. Shirts

We present a systematic ab initio study of the temperature and pressure dependent thermoelastic properties of hcp beryllium within the quasi-harmonic approximation (QHA). The accuracy of the Zero Static Internal Stress Approximation (ZSISA)…

Materials Science · Physics 2024-10-08 Xuejun Gong , Andrea Dal Corso

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

Computing the temperature and stress dependence of the full elastic constant tensor from first-principles in non-cubic materials remains a challenging problem. Here we circumvent the aforementioned challenge via the generalized…

Materials Science · Physics 2024-03-01 Mark A. Mathis , Chris A. Marianetti

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

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

We describe a theoretical and computational approach to calculate the vibrational, elastic, and thermal properties of materials from the low-temperature quantum regime to the high-temperature anharmonic regime. This approach is based on…

Materials Science · Physics 2024-09-20 Dylan A. Folkner , Zekun Chen , Giuseppe Barbalinardo , Florian Knoop , Davide Donadio

The self-consisted harmonic approximation (SCHA) allows the computation of free energy of anharmonic crystals considering both quantum and thermal fluctuations. Recently, a stochastic implementation of the SCHA has been developed, tailored…

Materials Science · Physics 2018-08-01 Lorenzo Monacelli , Ion Errea , Matteo Calandra , Francesco Mauri

Predictions of the anisotropic coefficients of thermal expansion are needed to not only compare to experimental measurement, but also as input for macroscopic modeling of devices which operate over a large temperature range. While most…

Materials Science · Physics 2019-03-08 Nicholas A. Pike , Ole M. Løvvik

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…

We study the structural effects produced by the quantization of vibrational degrees of freedom in periodic crystals at zero temperature. To this end we introduce a methodology based on mapping a suitable subspace of the vibrational manifold…

Materials Science · Physics 2009-11-13 I. Scivetti , N. I. Gidopoulos , J. Kohanoff

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

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

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…

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