Method to extract anharmonic force constants from first principles calculations
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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Our data compare favourably with the first principles predictions by Esfarjani and coworkers at all temperatures.
“Although our data compare favourably with the first principles predictions by Esfarjani and coworkers 1,2,41 at all temperatures”
From Broadband phonon mean free path contributions to thermal conductivity measured using frequency domain thermoreflectance (2013) · cites this paper as [41]
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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
- Publisher
- American Physical Society (APS)
- 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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