Diamond – an extremely hard, transparent crystal, with the carbon atoms arranged in a tetrahedral lattice. A poor electrical conductor. An excellent thermal conductor.
Lonsdaleite – also called hexagonal diamond.
Graphene – is the basic structural element of other allotropes, nanotubes, charcoal, and fullerenes.
Q-carbon – a ferromagnetic, tough, and brilliant crystal structure that is harder and brighter than diamonds.
Graphite – a soft, black, flaky solid, a moderate electrical conductor. The C atoms are bonded in flat hexagonal lattices (graphene), which are then layered in sheets.
Linear acetylenic carbon (Carbyne)
Amorphous carbon
Fullerenes, including Buckminsterfullerene, a.k.a. “buckyballs”, such as C60.
Carbon nanotubes – allotropes of carbon with a cylindrical nanostructure.