Thermal scattering of X-rays by crystals - I. Dynamical foundation
Open Access
- 30 January 1947
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 188 (1013) , 179-188
- https://doi.org/10.1098/rspa.1947.0003
Abstract
The dynamical properties of a crystal for small vibrations can be described by the set of coefficients of the potential energy forming the dynamical matrix. The elastic constants and many other observable quantities can be calculated in terms of the elements of the dynamical matrix (but in general not vice versa). The formulae given in previous publications are based on too narrow assumptions (central forces). In the present paper (Part I) this theory is developed in the most general form, without any assumption about the nature of the atomic forces. It contains, further, the method for reducing the dynamical matrix with the help of the space group of the lattice.Keywords
This publication has 2 references indexed in Scilit:
- Theoretical investigations on the relation between crystal dynamics and x-ray scatteringReports on Progress in Physics, 1942
- Zur Quantentheorie der MolekelnAnnalen der Physik, 1927