Frequency Spectrum and Specific Heat of a Face-Centered Cubic Lattice. I
- 1 June 1954
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 22 (6) , 1108-1113
- https://doi.org/10.1063/1.1740273
Abstract
A Born‐von Karman treatment is carried out for a face‐centered cubic lattice using the techniques developed by Montroll. The frequency spectrum of the normal modes of vibration has been calculated. From this distribution function Cv is obtained. A power series in 1/T has been developed for Cv at high temperatures. An asymptotic approximation is discussed for Cv at very low temperatures. Numerical results are presented for silver; these results are compared with those obtained by Leighton and with experimental data.Keywords
This publication has 8 references indexed in Scilit:
- The Occurrence of Singularities in the Elastic Frequency Distribution of a CrystalPhysical Review B, 1953
- The Vibrational Spectrum and Specific Heat of a Face-Centered Cubic CrystalReviews of Modern Physics, 1948
- Frequency Spectrum of Crystalline Solids. III. Body-Centered Cubic LatticesThe Journal of Chemical Physics, 1944
- Frequency Spectrum of Crystalline Solids. II. General Theory and Applications to Simple Cubic LatticesThe Journal of Chemical Physics, 1943
- The Heat Capacities and Entropies of Silver and Lead from 15° to 300°K.Journal of the American Chemical Society, 1941
- The Normal Modes of Vibration of a Body-Centered Cubic LatticePhysical Review B, 1939
- Some properties of the vibrational spectrum of a latticeMathematical Proceedings of the Cambridge Philosophical Society, 1937
- The heat capacity of potassium chrloride from 2.3 to 17°KPhysica, 1935