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September 1, 1992Physical review. B, Condensed matter2,598 citations

Lower limit to the thermal conductivity of disordered crystals

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DCDavid G. CahillSWSusan K. WatsonRPR. O. Pohl

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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Cite This Study

Cahill et al. (1992) studied this question.

synapsesocial.com/papers/69d729f9faf9bc6d3dbef2bfhttps://doi.org/10.1103/physrevb.46.6131
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