The vibrational spectrum of an isotopically disordered crystal
- 1 March 1966
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine
- Vol. 13 (123), 465-476
- https://doi.org/10.1080/14786436608212640
Abstract
The vibrational spectrum has been calculated for an isotopically disordered cubic Bravais crystal in which a fraction q of the atoms have mass M′ and the remainder have mass M. The calculation is valid for all q and is correct to third order in the parameter λ=M/M′ − 1. Numerical results are presented for a face-centred cubic crystal with central forces between nearest and next-nearest neighbour atoms and with M′=1·15M.Keywords
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