What question did this study set out to answer?

This research investigates the lower limits of thermal conductivity in disordered crystals.

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September 1, 1992

Lower limit to the thermal conductivity of disordered crystals

Key Points

This research investigates the lower limits of thermal conductivity in disordered crystals.
Measured thermal conductivity above 30 K in various mixed crystals with controlled disorder.
Analyzed crystals such as (KBr)${}_{1-x}$(KCN)${}_{x}$ and ${ ext{Ba}}_{1-x}{ ext{La}}_{x}{ ext{F}}_{2+x}$.
Compared data with a model predicting minimum conductivity based on Einstein's theory.
As disorder (x) increases, measured thermal conductivities approach the calculated minimum conductivity.
Supports the model that lattice vibrations in disordered crystals resemble those in amorphous solids.

Abstract

Measurements of the thermal conductivity above 30 K of mixed crystals with controlled disorder, (KBr) ₁-ₗ (KCN) ₗ, (NaCl) ₁-ₗ, (NaCn) ₗ Zr₁-ₗYₗO₂-ₗ/₂, and Ba₁-ₗLaₗF₂+ₗ, support the idea of a lower limit to the thermal conductivity of disordered solids. In each case, as x is increased, the data approach the calculated minimum conductivity based on a model originally due to Einstein. These measurements support the claim that the lattice vibrations of these disordered crystals are essentially the same as those of an amorphous solid.

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