Phonon dispersion relations and thermal expansion of erbium
作者:
R. Ramji Rao,
C. S. Menon,
期刊:
Journal of Applied Physics
(AIP Available online 1973)
卷期:
Volume 44,
issue 9
页码: 3892-3896
ISSN:0021-8979
年代: 1973
DOI:10.1063/1.1662867
出版商: AIP
数据来源: AIP
摘要:
The lattice dynamics, second‐ and third‐order elastic constants, and the temperature variation of the lattice thermal expansion of erbium are worked out on the basis of Keating's method. The ten third‐order elastic constants are calculated using four third‐order anharmonic parameters. The model used here reproduces the measured pressure derivatives of the second‐order elastic constants of erbium well. The low‐ and high‐temperature limits&ggr;¯Land&ggr;¯Hof the lattice thermal expansion are evaluated and the calculated&ggr;¯His compared with that obtained from the thermal expansion and specific heat data. The dispersion relations in erbium are found to be similar to those in holmium.
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