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

@article{Stewart2011InteratomicFP, title={Interatomic forces, phonons, the Foreman-Lomer Theorem and the Blackman Sum Rule}, author={Annette M. Stewart}, journal={arXiv: Statistical Mechanics}, year={2011} }

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…

## One Citation

### Lattice dynamics in FeSi measured by inelastic x-ray scattering

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2019

The phonon dispersion of FeSi was measured by inelastic x-ray scattering and the calculations of the lattice dynamics suggest that this branch corresponds mainly to the atomic displacements that change the Fe-Fe nearest neighbor distance.

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