Interatomic forces, phonons, the Foreman-Lomer Theorem and the Blackman Sum Rule

  title={Interatomic forces, phonons, the Foreman-Lomer Theorem and the Blackman Sum Rule},
  author={Annette M. Stewart},
  journal={arXiv: Statistical Mechanics},
  • A. Stewart
  • Published 30 November 2011
  • Physics
  • arXiv: Statistical Mechanics
Foreman and Lomer proposed in 1957 a method of estimating the harmonic forces between parallel planes of atoms of primitive cubic crystals by Fourier transforming the squared frequencies of phonons propagating along principal directions. A generalized form of this theorem is derived in this paper and it is shown that it is more appropriate to apply the method to certain combinations of the phonon dispersion relations rather than to individual dispersion relations themselves. Further, it is also… 
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