Efficient ab initio schemes for finding thermodynamically stable and metastable atomic structures: benchmark of cascade genetic algorithms

A first principles-based methodology for efficiently and accurately finding thermodynamically stable and metastable atomic structures is introduced and benchmarked. The approach is demonstrated for gas-phase metal-oxide clusters in thermodynamic equilibrium with a reactive (oxygen) atmosphere at fin...

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Main Authors: Saswata Bhattacharya, Sergey V Levchenko, Luca M Ghiringhelli, Matthias Scheffler
Format: Article
Language:English
Published: IOP Publishing 2014-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/16/12/123016
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author Saswata Bhattacharya
Sergey V Levchenko
Luca M Ghiringhelli
Matthias Scheffler
author_facet Saswata Bhattacharya
Sergey V Levchenko
Luca M Ghiringhelli
Matthias Scheffler
author_sort Saswata Bhattacharya
collection DOAJ
description A first principles-based methodology for efficiently and accurately finding thermodynamically stable and metastable atomic structures is introduced and benchmarked. The approach is demonstrated for gas-phase metal-oxide clusters in thermodynamic equilibrium with a reactive (oxygen) atmosphere at finite pressure and temperature. It consists of two steps. First, the potential-energy surface is scanned by means of a global-optimization technique, i.e., a massive-parallel first-principles cascade genetic algorithm for which the choice of all parameters is validated against higher-level methods. In particular, we validate (a) the criteria for selection and combination of structures used for the assemblage of new candidate structures, and (b) the choice of the exchange-correlation functional. The selection criteria are validated against a fully unbiased method: replica-exchange molecular dynamics. Our choice of exchange-correlation functional, the van der Waals-corrected PBE0 hybrid functional, is justified by comparisons up to the highest level currently achievable within density-functional theory, i.e., the renormalized second-order perturbation theory. In the second step, the low-energy structures are analyzed by means of ab initio atomistic thermodynamics in order to determine compositions and structures that minimize the Gibbs free energy at given temperature and pressure of the reactive atmosphere.
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spelling doaj.art-e1386e91e2b3465d818142b56e39d3112023-08-08T11:26:29ZengIOP PublishingNew Journal of Physics1367-26302014-01-01161212301610.1088/1367-2630/16/12/123016Efficient ab initio schemes for finding thermodynamically stable and metastable atomic structures: benchmark of cascade genetic algorithmsSaswata Bhattacharya0Sergey V Levchenko1Luca M Ghiringhelli2Matthias Scheffler3Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, GermanyFritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, GermanyFritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, GermanyFritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, GermanyA first principles-based methodology for efficiently and accurately finding thermodynamically stable and metastable atomic structures is introduced and benchmarked. The approach is demonstrated for gas-phase metal-oxide clusters in thermodynamic equilibrium with a reactive (oxygen) atmosphere at finite pressure and temperature. It consists of two steps. First, the potential-energy surface is scanned by means of a global-optimization technique, i.e., a massive-parallel first-principles cascade genetic algorithm for which the choice of all parameters is validated against higher-level methods. In particular, we validate (a) the criteria for selection and combination of structures used for the assemblage of new candidate structures, and (b) the choice of the exchange-correlation functional. The selection criteria are validated against a fully unbiased method: replica-exchange molecular dynamics. Our choice of exchange-correlation functional, the van der Waals-corrected PBE0 hybrid functional, is justified by comparisons up to the highest level currently achievable within density-functional theory, i.e., the renormalized second-order perturbation theory. In the second step, the low-energy structures are analyzed by means of ab initio atomistic thermodynamics in order to determine compositions and structures that minimize the Gibbs free energy at given temperature and pressure of the reactive atmosphere.https://doi.org/10.1088/1367-2630/16/12/123016cascade genetic algorithmatomistic thermodynamicsclustersMgOdensity functional theoryreactive environment
spellingShingle Saswata Bhattacharya
Sergey V Levchenko
Luca M Ghiringhelli
Matthias Scheffler
Efficient ab initio schemes for finding thermodynamically stable and metastable atomic structures: benchmark of cascade genetic algorithms
New Journal of Physics
cascade genetic algorithm
atomistic thermodynamics
clusters
MgO
density functional theory
reactive environment
title Efficient ab initio schemes for finding thermodynamically stable and metastable atomic structures: benchmark of cascade genetic algorithms
title_full Efficient ab initio schemes for finding thermodynamically stable and metastable atomic structures: benchmark of cascade genetic algorithms
title_fullStr Efficient ab initio schemes for finding thermodynamically stable and metastable atomic structures: benchmark of cascade genetic algorithms
title_full_unstemmed Efficient ab initio schemes for finding thermodynamically stable and metastable atomic structures: benchmark of cascade genetic algorithms
title_short Efficient ab initio schemes for finding thermodynamically stable and metastable atomic structures: benchmark of cascade genetic algorithms
title_sort efficient ab initio schemes for finding thermodynamically stable and metastable atomic structures benchmark of cascade genetic algorithms
topic cascade genetic algorithm
atomistic thermodynamics
clusters
MgO
density functional theory
reactive environment
url https://doi.org/10.1088/1367-2630/16/12/123016
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AT lucamghiringhelli efficientabinitioschemesforfindingthermodynamicallystableandmetastableatomicstructuresbenchmarkofcascadegeneticalgorithms
AT matthiasscheffler efficientabinitioschemesforfindingthermodynamicallystableandmetastableatomicstructuresbenchmarkofcascadegeneticalgorithms