What factors affect the thermal conductivity of solids?

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SUMMARY

The thermal conductivity of metals is generally higher than that of semiconductors due to the presence of more free electrons that facilitate heat conduction. However, the phonon contribution to thermal conductivity varies across different materials, influenced by factors such as group velocity and atomic structure. For instance, beryllium oxide, an insulator, exhibits higher thermal conductivity than brass, a metal. Notably, diamond, an insulating form of carbon, has a thermal conductivity of approximately 2000 W/m·K, while graphite, a conducting form, ranges from 50 to 250 W/m·K.

PREREQUISITES
  • Understanding of thermal conductivity principles
  • Knowledge of phonon and electron contributions to heat transfer
  • Familiarity with material properties of metals and insulators
  • Basic concepts of atomic structure and bonding
NEXT STEPS
  • Research the thermal conductivity of various materials using the Wikipedia list of thermal conductivities
  • Explore the relationship between phonon group velocity and thermal conductivity in different materials
  • Investigate the thermal properties of carbon allotropes, specifically diamond and graphite
  • Examine exceptional insulating materials that defy general trends in thermal conductivity
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Materials scientists, physicists, and engineers interested in thermal management, as well as anyone studying the thermal properties of solids.

Niles
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Hi all

Am I correct to say that - in general - the thermal conductivity of metals is higher than that of semiconductors, because metals have more free electrons to help conduct the heat?

And is it correct that phonon-contribution to heat conductivy is more or less the same for all solids, regardless of the solid being an insulator, semiconductor or metal?
 
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The phonon contribution to thermal conductivity can definitely vary. IIRC the relation involves the group velocity of the phonons which is usually quite large in systems with light atoms like beryllium oxide or strong bonds like diamond. Carbon is a good example of how changes in phonon and electronic structure change the thermal conductivity. Diamond (insulating carbon) is about 2000, but graphite (conducting carbon) is about 50-250.

The general trend that you mention is true; electrons often dominate the thermal conductivity, which you notice from the table if you ignore the few exceptional insulating materials. But it's good to remember that there are some interesting exceptions.
 

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