Properties of a harmonic lattice

Stacey F. (1993) Properties of a harmonic lattice. Physics of the Earth and Planetary Interiors, 78 1-2: 19-22. doi:10.1016/0031-9201(93)90080-S

Author Stacey F.
Title Properties of a harmonic lattice
Journal name Physics of the Earth and Planetary Interiors   Check publisher's open access policy
ISSN 0031-9201
Publication date 1993-01-01
Sub-type Article (original research)
DOI 10.1016/0031-9201(93)90080-S
Volume 78
Issue 1-2
Start page 19
End page 22
Total pages 4
Language eng
Subject 1908 Geophysics
1912 Space and Planetary Science
3101 Physics and Astronomy (miscellaneous)
3103 Astronomy and Astrophysics
1900 Earth and Planetary Sciences
2300 Environmental Science
Abstract Elastic and thermal properties of crystals depend upon anharmonic behaviour of the atomic bonds that hold them together. In extrapolating these properties to pressures of the Earth's deep interior, an idealized reference material, a harmonic crystal, is often referred to. However, the discussions are often clouded by misunderstanding of what the properties of such a crystal would be. It is shown here that the initial pressure dependence of incompressibility is K′0 = 1. Thermal expansion is negative, with a low pressure Grüneisen parameter γ0 = -0.45 for a close-packed lattice (and more negative for open lattice) with a density dependence ( d ln γ d ln ρ)0 = 1.23. Adiabatic incompressibility is greater than the isothermal value, as for a crystal with positive expansion coefficient.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
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Citation counts: TR Web of Science Citation Count  Cited 10 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 12 times in Scopus Article | Citations
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