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The carbon allotrope we call diamond has the highest thermal (heat) conductivity of any material. It is far better an any metal (or anything else we know of) at allowing heat to pass through it. It is carbon (in its graphite allotrope) that has the highest electrical conductivity under normal conditions of any of the nonmetals. Any metal is a better electrical conductor, but carbon is good enough to make brushes for electrical motors out of. You'll recall that the brushes complete the electrical circuit between the wiring of the non-moving elements to the rotating commutator.

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