metals
most non ferrous materials are poor conductors with exceptions
Thermal conductors let heat move through them. Metals are part of this group.
Conductors
Group 14 elements such as silicon or germanium generally act as semi-conductors. Boron, a group 13 element, normally acts as a dopant in semiconductors.
all metals are good conductors of heat and electric currents
That sounds like the description of a metal.
The group of metals called the big three consists of iron, copper, and aluminum. These three metals are known for have good thermal and electrical conductivities.
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metals and such substances are good condutors of electricity.
The organization of the periodic table in terms of conductors of electricity could also be said to be the organization of the periodic table in terms of metallic character, since metals are the best conductors of electricity. Metallic character decreases across a period and increases down a group.