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Lattice Thermal Conductivity of Solid Helium. II. Isotopic Mixtures

Lattice Thermal Conductivity of Solid Helium. II. Isotopic Mixtures We have analyzed the thermal-conductivity data of He 4 -rich isotopic mixtures of solid helium in the hcp phase and He 3 -rich mixtures in the bcc phase at the molar volume 20.2 cm 3 /mole measured by Bertman et al. It is found that the T 3 dependence of normal processes generally used in Callaway's model can explain the thermal-conductivity data in the temperature range 0.6 to 1.8°K. The concentration dependence of the lattice distortion scattering due to added isotopic impurity is seen to be the theoretically expected one, i.e., x ( 1 - x ) , and the stronger concentration dependence noticed by Bertman is not observed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

Lattice Thermal Conductivity of Solid Helium. II. Isotopic Mixtures

Agrawal, Bal Krishna
Physical Review , Volume 162 (3) – Oct 15, 1967
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1967 The American Physical Society
ISSN
1536-6065
DOI
10.1103/PhysRev.162.731
Publisher site
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Abstract

We have analyzed the thermal-conductivity data of He 4 -rich isotopic mixtures of solid helium in the hcp phase and He 3 -rich mixtures in the bcc phase at the molar volume 20.2 cm 3 /mole measured by Bertman et al. It is found that the T 3 dependence of normal processes generally used in Callaway's model can explain the thermal-conductivity data in the temperature range 0.6 to 1.8°K. The concentration dependence of the lattice distortion scattering due to added isotopic impurity is seen to be the theoretically expected one, i.e., x ( 1 - x ) , and the stronger concentration dependence noticed by Bertman is not observed.

Journal

Physical Review – American Physical Society (APS)

Published: Oct 15, 1967

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