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Isochoric thermal conductivity of Kr and Ar crystals. Heat transfer by vacancies

A. I. BondarenkoPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kovV. G. Manzheliı̆Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kovV. A. PopovPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kovM. A. Strzhemechnyı̆Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kovV. G. GavrilkoPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kov
ABI

Abstract

The isochoric thermal conductivity is measured in Kr crystals with molar volumes from 28.84 to 29.54 cm3/mol and Ar crystals with molar volumes of 24.30 cm3/mol at temperatures of the order of and exceeding the corresponding Debye temperatures. An excess of the thermal conductivity λ above that which would follow from λ∼1/T is found, this excess increasing with temperature. Energy transport by vacancies is proposed as the mechanism responsible for this “excess”thermal conductivity. The temperature dependence of this “excess” thermal conductivity is used to determine the isochoric activation energy for self-diffusion Qv. Recalculated values of the isobaric activation energy Qp are found to be in good agreement with direct diffusion measurements for Ar and Kr.

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