Lattice vibrations in the harmonic approximation
Materials Science
2020-03-20 v3 Strongly Correlated Electrons
Mathematical Physics
math.MP
Quantum Physics
Abstract
We present some theoretical results on the lattice vibrations that are necessary for a concise derivation of the Debye-Waller factor in the harmonic approximation. First we obtain an expression for displacement of an atom in a crystal lattice from its equilibrium position. Then we show that an atomic displacement has the Gaussian distribution. Finally, we obtain the computational formula for the Debye-Waller factor in the Debye model.
Cite
@article{arxiv.1711.04302,
title = {Lattice vibrations in the harmonic approximation},
author = {G. V. Paradezhenko and N. B. Melnikov and B. I. Reser},
journal= {arXiv preprint arXiv:1711.04302},
year = {2020}
}