Cited by 388Advanced Chemical Physics StudiesAdvanced Physical and Chemical Molecular InteractionsSpectroscopy and Quantum Chemical Studies

Method to extract anharmonic force constants from first principles calculations

Esfarjani, Keivan, Stokes, Harold T.·2008·Physical Review B

Abstract

A method for extracting force constants (FCs) from first principles is introduced. In principle, provided that forces are accurate enough, it can extract harmonic as well as anharmonic FCs up to any neighbor shell. Symmetries of the FCs as well as those of the lattice are used to reduce the number of parameters to be calculated. The results are illustrated for the case of the Lennard-Jones potential, wherein forces are exact and FCs can be analytically calculated, and Si in the diamond structure. The latter are compared to the previously calculated harmonic FCs.

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Crossref · 10.1103/physrevb.77.144112

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Authors
Esfarjani, K., & Stokes, H. T.
Affiliations
  • University of California, Santa Cruz (US)
  • Brigham Young University (US)
Venue
Physical Review B
Published
2008-04-24
Volume
77
Issue
14
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W2007060407
Cited by
388
References
23
Citations by year
2026: 25 · 2025: 37 · 2024: 32 · 2023: 34 · 2022: 34 · 2021: 23 · 2020: 28 · 2019: 28 · 2018: 25 · 2017: 24 · 2016: 23 · 2015: 18 · 2014: 19 · 2013: 20 · 2012: 9
FWCI
1.54
Type
journal article
Language
en
Open access
closed
Locations
Physical Review B (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
  • Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Spectroscopy and Quantum Chemical Studies
Keywords
anharmonic force constants, harmonic force constants, lattice dynamics, Lennard-Jones potential, silicon, diamond lattice, symmetry reduction

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