DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Nudged elastic band method for solid-solid transition under finite deformation

Abstract

Solid-state nudged elastic band (SSNEB) methods can be used for finding solid-solid transition paths when solids are subjected to external stress fields. However, previous SSNEB methods may lead to inaccurate barriers and deviated reaction paths for transitions under stress and finite deformation due to an inaccurate evaluation of the external work contributions in enthalpies. In this paper, a finite deformation nudged elastic band (FD-NEB) method is formulated for finding transition paths of solids under finite deformation. Applications of FD-NEB to a phase transition of silicon from the diamond phase to the β-tin phase under uniaxial compression are presented. Here, the results are compared with those from the generalized solid-state nudged elastic band method.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [1]
  1. The Univ. of Texas at San Antonio, San Antonio, TX (United States)
  2. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1568024
Alternate Identifier(s):
OSTI ID: 1547139
Report Number(s):
LLNL-JRNL-777491
Journal ID: ISSN 0021-9606; 970951; TRN: US2001247
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 151; Journal Issue: 5; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Ghasemi, Arman, Xiao, Penghao, and Gao, Wei. Nudged elastic band method for solid-solid transition under finite deformation. United States: N. p., 2019. Web. doi:10.1063/1.5113716.
Ghasemi, Arman, Xiao, Penghao, & Gao, Wei. Nudged elastic band method for solid-solid transition under finite deformation. United States. https://doi.org/10.1063/1.5113716
Ghasemi, Arman, Xiao, Penghao, and Gao, Wei. Tue . "Nudged elastic band method for solid-solid transition under finite deformation". United States. https://doi.org/10.1063/1.5113716. https://www.osti.gov/servlets/purl/1568024.
@article{osti_1568024,
title = {Nudged elastic band method for solid-solid transition under finite deformation},
author = {Ghasemi, Arman and Xiao, Penghao and Gao, Wei},
abstractNote = {Solid-state nudged elastic band (SSNEB) methods can be used for finding solid-solid transition paths when solids are subjected to external stress fields. However, previous SSNEB methods may lead to inaccurate barriers and deviated reaction paths for transitions under stress and finite deformation due to an inaccurate evaluation of the external work contributions in enthalpies. In this paper, a finite deformation nudged elastic band (FD-NEB) method is formulated for finding transition paths of solids under finite deformation. Applications of FD-NEB to a phase transition of silicon from the diamond phase to the β-tin phase under uniaxial compression are presented. Here, the results are compared with those from the generalized solid-state nudged elastic band method.},
doi = {10.1063/1.5113716},
journal = {Journal of Chemical Physics},
number = 5,
volume = 151,
place = {United States},
year = {Tue Aug 06 00:00:00 EDT 2019},
month = {Tue Aug 06 00:00:00 EDT 2019}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1 FIG. 1: Schematic of phase transition of a cubic crystal under a constant compressive Cauchy stress.

Save / Share:

Works referenced in this record:

Modeling Materials
book, January 2011


Communication: From graphite to diamond: Reaction pathways of the phase transition
journal, September 2012

  • Xiao, Penghao; Henkelman, Graeme
  • The Journal of Chemical Physics, Vol. 137, Issue 10
  • DOI: 10.1063/1.4752249

Nudged elastic band method for finding minimum energy paths of transitions
conference, November 2011

  • JÓNsson, Hannes; Mills, Greg; Jacobsen, Karsten W.
  • Proceedings of the International School of Physics, Classical and Quantum Dynamics in Condensed Phase Simulations
  • DOI: 10.1142/9789812839664_0016

Mechanics of nanocrack: Fracture, dislocation emission, and amorphization
journal, May 2009

  • Huang, Shan; Zhang, Sulin; Belytschko, Ted
  • Journal of the Mechanics and Physics of Solids, Vol. 57, Issue 5
  • DOI: 10.1016/j.jmps.2009.01.006

Diffusion mechanisms relevant to metal crystal growth: Pt/Pt(111)
journal, September 1994


High Strain Rate Tensile Testing of Silver Nanowires: Rate-Dependent Brittle-to-Ductile Transition
journal, November 2015


Novel silicon phases and nanostructures for solar energy conversion
journal, December 2016

  • Wippermann, Stefan; He, Yuping; Vörös, Márton
  • Applied Physics Reviews, Vol. 3, Issue 4
  • DOI: 10.1063/1.4961724

Variable cell nudged elastic band method for studying solid–solid structural phase transitions
journal, September 2013

  • Qian, Guang-Rui; Dong, Xiao; Zhou, Xiang-Feng
  • Computer Physics Communications, Vol. 184, Issue 9
  • DOI: 10.1016/j.cpc.2013.04.004

Optimization methods for finding minimum energy paths
journal, April 2008

  • Sheppard, Daniel; Terrell, Rye; Henkelman, Graeme
  • The Journal of Chemical Physics, Vol. 128, Issue 13
  • DOI: 10.1063/1.2841941

Diamond to β-Sn phase transition of silicon under hydrostatic and nonhydrostatic compressions
journal, July 2008


Finding transition states for crystalline solid-solid phase transformations
journal, April 2005

  • Caspersen, K. J.; Carter, E. A.
  • Proceedings of the National Academy of Sciences, Vol. 102, Issue 19
  • DOI: 10.1073/pnas.0408127102

Reversible work transition state theory: application to dissociative adsorption of hydrogen
journal, February 1995


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

Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points
journal, December 2000

  • Henkelman, Graeme; Jónsson, Hannes
  • The Journal of Chemical Physics, Vol. 113, Issue 22
  • DOI: 10.1063/1.1323224

A generalized solid-state nudged elastic band method
journal, February 2012

  • Sheppard, Daniel; Xiao, Penghao; Chemelewski, William
  • The Journal of Chemical Physics, Vol. 136, Issue 7
  • DOI: 10.1063/1.3684549

New metastable phases of silicon
journal, September 1986


Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets
journal, May 2021


Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect
journal, February 2020


Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.