How Diamond conducts Heat.Diamond and graphite can a good conductor of heat(better than silver) at particular set of conditions.what is the process behind it?

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msdenning | High School Teacher | (Level 2) Adjunct Educator

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Diamonds are able to conduct heat so well due to their unique physical properties.  The extremely stong carbon bonds as well as the lattice structure allow heat to travel along a diamond without damaging it.  Specifically, heat is conducted via the lattice vibrations, which have a high velocity and frequency, due to the strong bonding of the carbon atoms and the high symmetry of the lattice.