Thermal Resistance due to Isotopes at High Temperatures

V. Ambegaokar
Phys. Rev. 114, 488 – Published 15 April 1959
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Abstract

In pure dielectric crystals, the isotopic variations of atomic mass contribute a temperature-independent thermal resistance at high temperatures. This resistance has been calculated using a Debye model of the vibrational spectrum. Umklapp processes are treated as the dominant scattering mechanism. The distribution of the heat current over the vibrational modes is known for low frequencies. This distribution is considered to apply over the whole frequency spectrum. The calculated result is compared with the experiments of Geballe and Hull on isotopically pure germanium. A satisfactory agreement with experiment is obtained.

  • Received 24 November 1958

DOI:https://doi.org/10.1103/PhysRev.114.488

©1959 American Physical Society

Authors & Affiliations

V. Ambegaokar*

  • Westinghouse Research Laboratories, Pittsburgh, Pennsylvania

  • *Permanent address: Department of Physics, Carnegie Institute of Technology, Pittsburgh 32, Pennsylvania.

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Issue

Vol. 114, Iss. 2 — April 1959

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