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Carbon, in the following allotropic states, has the highest thermal conductivity:

  1. Graphene, a planar material, conducts at 5300 W/(m·K).
  2. Carbon Nanotubes, an axial material, conducts at 3000-3500 W/(m·K).
  3. Synthetic Diamond, an isotropic material, conducts at 2320 W/(m·K)
  4. Annealed Pyrolytic Graphite, a planar material, conducts at 1700 W/(m·K).
  5. Natural diamond (isotropic) conducts at approximately 900 W/(m·K).
  6. These are followed by all other materials including the excellent metals: silver, copper and aluminum.

Note: Most materials you may encounter are isotropic(same in all directions) conductors. There are few planar(in a plane) and axial (in a line) conductors; mostly crystals.

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