Frequency Spectrum and Specific Heat of a Face-Centered Cubic Lattice. II. Low Temperature Region
- 1 June 1954
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 22 (6) , 1114-1117
- https://doi.org/10.1063/1.1740274
Abstract
From the Born‐von Kármán treatment of a face‐centered cubic lattice a simplified secular equation valid for low frequencies has been obtained. The frequency spectrum of low frequency normal modes of vibration has been calculated using the root sampling technique of Blackman. From this distribution function a T3 law is obtained for Cv at low temperatures. The effect on the low temperature specific heat of including interactions with neighbors more remote than the next nearest neighbors is discussed. Numerical results are presented for silver.Keywords
This publication has 4 references indexed in Scilit:
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- The Vibrational Spectrum and Specific Heat of a Face-Centered Cubic CrystalReviews of Modern Physics, 1948
- On the vibrational spectrum of at three-dimensiional latticeProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1937