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We have developed a methodology to study the thermodynamics of order-disorder transformations in n-component substitutional alloys that combines nonequilibrium methods, which can efficiently compute free energies, with Monte Carlo…

Materials Science · Physics 2015-05-14 M. F. Michelon , A. Antonelli

A density-functional-theory based approach to efficiently compute numerically exact vibrational free energies - including anharmonicity - for chemically complex multicomponent alloys is developed. It is based on a combination of…

Based on thermodynamic principles, we derive expressions quantifying the non-harmonic vibrational behavior of materials, which are rigorous yet easily evaluated from experimentally available data for the thermal expansion coefficient and…

Materials Science · Physics 2016-07-29 Dipanshu Bansal , Amjad Aref , Gary Dargush , Olivier Delaire

A unified approach is used to study vibrational properties of periodic systems with first-principles methods and including anharmonic effects. Our approach provides a theoretical basis for the determination of phonon-dependent quantities at…

Materials Science · Physics 2014-06-12 Bartomeu Monserrat , N. D. Drummond , R. J. Needs

The whole Al-Li phase diagram is predicted from first principles calculations and statistical mechanics including the effect of configurational and vibrational entropy. The formation enthalpy of different configurations at different…

Materials Science · Physics 2022-11-22 Wei Shao , Sha Liu , Javier LLorca

The thermodynamic properties of the Zr-Nb alloy are investigated at temperatures below 890 K with ab initio calculations. The solution energies of the bcc Nb-rich and hcp Zr-rich solid solutions obtained within the framework of density…

Materials Science · Physics 2019-04-30 Emmanuel Clouet , Maeva Cottura

We study the structural properties and phase stability of the K$_{x}$Ca$_{1-x}$N alloy using the regular-solution model based on the total energy of the mixing. The pseudopotential approach was used along with PBE functional of Perdew,…

Materials Science · Physics 2025-09-24 K. Larbaoui , A. Lakdja , G. Bassou

In this study Mo-Nb-Ta-W refractory high-entropy alloys (R-HEAs) have been studied for their phase stability for a wide temperature range (100 K to 2000 K). The equilibrium thermodynamic phases are determined by the changes in enthalpy and…

Materials Science · Physics 2021-03-16 Varnita Bajpai , Soumyadipta Maiti , Shashank Mishra , Beena Rai

We describe a first-principles statistical mechanics method to calculate the free energies of crystalline alloys that depend on temperature, composition, and strain. The approach relies on an extension of the alloy cluster expansion to…

Materials Science · Physics 2023-11-01 Sesha Sai Behara , John C. Thomas , Brian Puchala , Anton Van der Ven

A longstanding limitation of first-principles calculations of substitutional alloy phase diagrams is the difficulty to account for lattice vibrations. A survey of the theoretical and experimental literature seeking to quantify the impact of…

Statistical Mechanics · Physics 2009-11-07 A. van de Walle , G. Ceder

Theoretical frameworks used to qualitatively and quantitatively describe nuclear dynamics in solids are often based on the harmonic approximation. However, this approximation is known to become inaccurate or to break down completely in many…

Materials Science · Physics 2020-09-02 Florian Knoop , Thomas A. R. Purcell , Matthias Scheffler , Christian Carbogno

Temperature effects on the energetics of the 90-degree partial dislocation in silicon and germanium are investigated, using non-equilibrium methods to estimate free energies, coupled with Monte Carlo simulations. Atomic interactions are…

Materials Science · Physics 2016-08-31 Caetano R. Miranda , Ricardo W. Nunes , A. Antonelli

We have developed a thorough and accurate method of determining anharmonic free energies, the temperature dependent effective potential technique (TDEP). It is based on \emph{ab initio} molecular dynamics followed by a mapping onto a model…

Statistical Mechanics · Physics 2013-10-14 Olle Hellman , Peter Steneteg , Igor A. Abrikosov , Sergei I. Simak

We propose an approach to calculate the anharmonic part of the volumetric-strain and temperature dependent free energy of a crystal. The method strikes an effective balance between accuracy and computational efficiency, showing a $\times10$…

Materials Science · Physics 2019-07-17 Thomas A. Mellan , Andrew I. Duff , Blazej Grabowski , Michael W. Finnis

For classical discrete systems under constant composition typically refferred to substitutional alloys, we propose calculation method of Helmholtz free energy based on a set of special microscopic states. The advantage of the method is that…

Statistical Mechanics · Physics 2021-10-22 Ryogo Miyake , Subaru Sugie , Koretaka Yuge

Lattice anharmonicity is thought to strongly affect vacancy concentrations in metals at high temperatures. It is however non-trivial to account for this effect directly using density functional theory (DFT). Here we develop a deep neural…

Materials Science · Physics 2019-10-02 Anton S. Bochkarev , Ambroise van Roekeghem , Stefano Mossa , Natalio Mingo

A method to investigate anharmonicity, vibrational anisotropy and thermal expansion using correlated mean-square relative displacements (MSRD) parallel and perpendicular to the interatomic bonds obtained only from Extended X-ray Absorption…

Materials Science · Physics 2010-10-25 Kleber D. Machado

Diamond is studied by path integral molecular dynamics simulations of the atomic nuclei in combination with a tight-binding Hamiltonian to describe its electronic structure and total energy. This approach allows us to quantify the influence…

Materials Science · Physics 2009-11-11 Rafael Ramirez , Carlos P. Herrero , Eduardo R. Hernandez

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

Aiming towards materials design for methane activation, we study temperature ($T$), pressure ($p$) dependence of the composition, structure, and stability of metal oxide clusters in a reactive atmosphere using a prototypical model catalyst…

Materials Science · Physics 2021-06-07 Preeti Bhumla , Manish Kumar , Saswata Bhattacharya
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