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Title: Quantum-accurate spectral neighbor analysis potential models for Ni-Mo binary alloys and fcc metals

Abstract

In recent years, efficient interatomic potentials approaching the accuracy of density functional theory (DFT) calculations have been developed using rigorous atomic descriptors satisfying strict invariances, for example, for translation, rotation, permutation of homonuclear atoms, among others. In this work, we generalize the spectral neighbor analysis potential (SNAP) model to bcc-fcc binary alloy systems. We demonstrate that machine-learned SNAP models can yield significant improvements even over the well-established high-performing embedded atom method (EAM) and modified EAM potentials for fcc Cu and Ni. We also report on the development of a SNAP model for the fcc Ni-bcc Mo binary system by machine learning a carefully constructed large computed data set of elemental and intermetallic compounds. We demonstrate that this binary Ni-Mo SNAP model can achieve excellent agreement with experiments in the prediction of a Ni-Mo phase diagram as well as near-DFT accuracy in the prediction of many key properties, such as elastic constants, formation energies, melting points, etc., across the entire binary composition range. In contrast, the existing Ni-Mo EAM has significant errors in the prediction of the phase diagram and completely fails in binary compounds. Lastly, this paper provides a systematic model development process for multicomponent alloy systems, including an efficientmore » procedure to optimize the hyperparameters in the model fitting, and paves the way for long-time large-scale simulations of such systems.« less

Authors:
 [1];  [1];  [1];  [1];  [1];  [1]
  1. Univ. of California San Diego, La Jolla, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1544214
Grant/Contract Number:  
N00014-16-1-2621; N00014-16-12569; ACI-1053575
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 9; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Li, Xiang-Guo, Hu, Chongze, Chen, Chi, Deng, Zhi, Luo, Jian, and Ong, Shyue Ping. Quantum-accurate spectral neighbor analysis potential models for Ni-Mo binary alloys and fcc metals. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.98.094104.
Li, Xiang-Guo, Hu, Chongze, Chen, Chi, Deng, Zhi, Luo, Jian, & Ong, Shyue Ping. Quantum-accurate spectral neighbor analysis potential models for Ni-Mo binary alloys and fcc metals. United States. https://doi.org/10.1103/PhysRevB.98.094104
Li, Xiang-Guo, Hu, Chongze, Chen, Chi, Deng, Zhi, Luo, Jian, and Ong, Shyue Ping. Tue . "Quantum-accurate spectral neighbor analysis potential models for Ni-Mo binary alloys and fcc metals". United States. https://doi.org/10.1103/PhysRevB.98.094104. https://www.osti.gov/servlets/purl/1544214.
@article{osti_1544214,
title = {Quantum-accurate spectral neighbor analysis potential models for Ni-Mo binary alloys and fcc metals},
author = {Li, Xiang-Guo and Hu, Chongze and Chen, Chi and Deng, Zhi and Luo, Jian and Ong, Shyue Ping},
abstractNote = {In recent years, efficient interatomic potentials approaching the accuracy of density functional theory (DFT) calculations have been developed using rigorous atomic descriptors satisfying strict invariances, for example, for translation, rotation, permutation of homonuclear atoms, among others. In this work, we generalize the spectral neighbor analysis potential (SNAP) model to bcc-fcc binary alloy systems. We demonstrate that machine-learned SNAP models can yield significant improvements even over the well-established high-performing embedded atom method (EAM) and modified EAM potentials for fcc Cu and Ni. We also report on the development of a SNAP model for the fcc Ni-bcc Mo binary system by machine learning a carefully constructed large computed data set of elemental and intermetallic compounds. We demonstrate that this binary Ni-Mo SNAP model can achieve excellent agreement with experiments in the prediction of a Ni-Mo phase diagram as well as near-DFT accuracy in the prediction of many key properties, such as elastic constants, formation energies, melting points, etc., across the entire binary composition range. In contrast, the existing Ni-Mo EAM has significant errors in the prediction of the phase diagram and completely fails in binary compounds. Lastly, this paper provides a systematic model development process for multicomponent alloy systems, including an efficient procedure to optimize the hyperparameters in the model fitting, and paves the way for long-time large-scale simulations of such systems.},
doi = {10.1103/PhysRevB.98.094104},
journal = {Physical Review B},
number = 9,
volume = 98,
place = {United States},
year = {Tue Sep 11 00:00:00 EDT 2018},
month = {Tue Sep 11 00:00:00 EDT 2018}
}

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Works referenced in this record:

Accurate force field for molybdenum by machine learning large materials data
journal, September 2017


High-Dimensional Atomistic Neural Network Potentials for Molecule–Surface Interactions: HCl Scattering from Au(111)
journal, January 2017


Grain boundary stability governs hardening and softening in extremely fine nanograined metals
journal, March 2017


Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

Metadynamics Simulations of the High-Pressure Phases of Silicon Employing a High-Dimensional Neural Network Potential
journal, May 2008


Projector augmented-wave method
journal, December 1994


Accuracy and transferability of Gaussian approximation potential models for tungsten
journal, September 2014


ANI-1: an extensible neural network potential with DFT accuracy at force field computational cost
journal, January 2017

  • Smith, J. S.; Isayev, O.; Roitberg, A. E.
  • Chemical Science, Vol. 8, Issue 4
  • DOI: 10.1039/C6SC05720A

Representing potential energy surfaces by high-dimensional neural network potentials
journal, April 2014


The equilibrium diagram of the system molybdenum-nickel
journal, September 1964


Neural network potential for Al-Mg-Si alloys
journal, October 2017


Charting the complete elastic properties of inorganic crystalline compounds
journal, March 2015

  • de Jong, Maarten; Chen, Wei; Angsten, Thomas
  • Scientific Data, Vol. 2, Issue 1
  • DOI: 10.1038/sdata.2015.9

FireWorks: a dynamic workflow system designed for high-throughput applications: FireWorks: A Dynamic Workflow System Designed for High-Throughput Applications
journal, May 2015

  • Jain, Anubhav; Ong, Shyue Ping; Chen, Wei
  • Concurrency and Computation: Practice and Experience, Vol. 27, Issue 17
  • DOI: 10.1002/cpe.3505

On representing chemical environments
journal, May 2013


Recent advances in differential evolution: a survey and experimental analysis
journal, October 2009


Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995


Algorithm for generating derivative structures
journal, June 2008


Spectral neighbor analysis method for automated generation of quantum-accurate interatomic potentials
journal, March 2015


The Elastic Behaviour of a Crystalline Aggregate
journal, May 1952


Neural network interatomic potential for the phase change material GeTe
journal, May 2012


A thermodynamic evaluation of the Mo-Ni system
journal, July 1990


Efficient and accurate machine-learning interpolation of atomic energies in compositions with many species
journal, July 2017


A climbing image nudged elastic band method for finding saddle points and minimum energy paths
journal, December 2000

  • Henkelman, Graeme; Uberuaga, Blas P.; Jónsson, Hannes
  • The Journal of Chemical Physics, Vol. 113, Issue 22, p. 9901-9904
  • DOI: 10.1063/1.1329672

Electrodeposition of Ni–Mo alloy coatings and their characterization as cathodes for hydrogen evolution in sodium hydroxide solution
journal, July 2008


Temperature dependent magnetic contributions to the high field elastic constants of nickel and an Fe-Ni alloy
journal, May 1960

  • Alers, G. A.; Neighbours, J. R.; Sato, H.
  • Journal of Physics and Chemistry of Solids, Vol. 13, Issue 1-2
  • DOI: 10.1016/0022-3697(60)90125-6

Two-phase solid–liquid coexistence of Ni, Cu, and Al by molecular dynamics simulations using the modified embedded-atom method
journal, March 2015


Achieving DFT accuracy with a machine-learning interatomic potential: Thermomechanics and defects in bcc ferromagnetic iron
journal, January 2018


Extending the accuracy of the SNAP interatomic potential form
journal, June 2018

  • Wood, Mitchell A.; Thompson, Aidan P.
  • The Journal of Chemical Physics, Vol. 148, Issue 24
  • DOI: 10.1063/1.5017641

Machine Learning for Quantum Mechanical Properties of Atoms in Molecules
journal, July 2015

  • Rupp, Matthias; Ramakrishnan, Raghunathan; von Lilienfeld, O. Anatole
  • The Journal of Physical Chemistry Letters, Vol. 6, Issue 16
  • DOI: 10.1021/acs.jpclett.5b01456

Electrodeposition of amorphous/nanocrystalline and polycrystalline Ni–Mo alloys from pyrophosphate baths
journal, January 2005


Elastic constants of polycrystalline copper at low temperatures. Relationship to single-crystal elastic constants
journal, August 1981


Fast and Accurate Modeling of Molecular Atomization Energies with Machine Learning
journal, January 2012


A universal strategy for the creation of machine learning-based atomistic force fields
journal, September 2017


Calculating phase diagrams using PANDAT and panengine
journal, December 2003


Graphite-diamond phase coexistence study employing a neural-network mapping of the ab initio potential energy surface
journal, March 2010


Development of a machine learning potential for graphene
journal, February 2018


Crystal structure representations for machine learning models of formation energies
journal, April 2015

  • Faber, Felix; Lindmaa, Alexander; von Lilienfeld, O. Anatole
  • International Journal of Quantum Chemistry, Vol. 115, Issue 16
  • DOI: 10.1002/qua.24917

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


Melting line of aluminum from simulations of coexisting phases
journal, February 1994


Highly optimized embedded-atom-method potentials for fourteen fcc metals
journal, April 2011


Misfit-energy-increasing dislocations in vapor-deposited CoFe/NiFe multilayers
journal, April 2004


Generalized Neural-Network Representation of High-Dimensional Potential-Energy Surfaces
journal, April 2007


A study on pulse plating amorphous Ni–Mo alloy coating used as HER cathode in alkaline medium
journal, June 2010


Computational Thermodynamics
book, January 2007


Density functional calculations of the formation and migration enthalpies of monovacancies in Ni: Comparison of local and nonlocal approaches
journal, August 2006

  • Megchiche, El Hocine; Pérusin, Simon; Barthelat, Jean-Claude
  • Physical Review B, Vol. 74, Issue 6
  • DOI: 10.1103/PhysRevB.74.064111

Gaussian Approximation Potentials: The Accuracy of Quantum Mechanics, without the Electrons
journal, April 2010


An implementation of artificial neural-network potentials for atomistic materials simulations: Performance for TiO2
journal, March 2016


Surface energies of elemental crystals
journal, September 2016

  • Tran, Richard; Xu, Zihan; Radhakrishnan, Balachandran
  • Scientific Data, Vol. 3, Issue 1
  • DOI: 10.1038/sdata.2016.80

Machine learning of accurate energy-conserving molecular force fields
journal, May 2017

  • Chmiela, Stefan; Tkatchenko, Alexandre; Sauceda, Huziel E.
  • Science Advances, Vol. 3, Issue 5
  • DOI: 10.1126/sciadv.1603015

Machine learning based interatomic potential for amorphous carbon
journal, March 2017


Study of Li atom diffusion in amorphous Li3PO4 with neural network potential
journal, December 2017

  • Li, Wenwen; Ando, Yasunobu; Minamitani, Emi
  • The Journal of Chemical Physics, Vol. 147, Issue 21
  • DOI: 10.1063/1.4997242

Constructing first-principles phase diagrams of amorphous Li x Si using machine-learning-assisted sampling with an evolutionary algorithm
journal, June 2018

  • Artrith, Nongnuch; Urban, Alexander; Ceder, Gerbrand
  • The Journal of Chemical Physics, Vol. 148, Issue 24
  • DOI: 10.1063/1.5017661

Python Materials Genomics (pymatgen): A robust, open-source python library for materials analysis
journal, February 2013


Works referencing / citing this record:

A Critical Review of Machine Learning of Energy Materials
journal, January 2020


Recent advances and applications of machine learning in solid-state materials science
journal, August 2019

  • Schmidt, Jonathan; Marques, Mário R. G.; Botti, Silvana
  • npj Computational Materials, Vol. 5, Issue 1
  • DOI: 10.1038/s41524-019-0221-0

Machine learning for interatomic potential models
journal, February 2020

  • Mueller, Tim; Hernandez, Alberto; Wang, Chuhong
  • The Journal of Chemical Physics, Vol. 152, Issue 5
  • DOI: 10.1063/1.5126336

Development of a deep machine learning interatomic potential for metalloid-containing Pd-Si compounds
journal, November 2019


Data-driven Material Models for Atomistic Simulation
text, January 2019