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This depends on the structure of carbon. In the metastable diamond structure, carbon is an insulator. In a stable graphite structure carbon is known as a 'zero band gap' conductor meaning it will conduct electrons with a small input of energy. A carbon nanotube is one of the best known conductors of electricity because of overlapping 'p orbitals'.

Tin is a better conductor of electrons compared to carbon ( generally, unless you are talking about carbon nanotubes). This is due to the band theory of solids. The low energy orbitals of carbon do not 'split' and overlap at large distances. The higher energy orbitals of tin do 'split' and overlap at larger distances allowing for electronic conduction.

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