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The best electrical-conducting materials are various superconductors, which display zero resistivity, or in other words perfect conductivity. Since about 1993, the highest-temperature superconductor known has been a ceramic material consisting of thallium, Mercury, copper, barium, calcium and oxygen (HgBa2Ca2Cu3O8+δ) which is superconducting below 138 K.

Several allotropes of carbon seem to share the palm for the highest electrical conductivity at room temperature. Graphene is one. Carbon nanotubes in the direction along the tube another.

The known material with the highest thermal conductivity is a supercooled form of liquid helium: helium II

The known material with the highest thermal conductivity at room temperature is graphene.

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