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Electricity must be conducted by electricity carier in any media. In any metal atom, the valence electronic orbitals/shell IS NOT FULL. When all the metalic atoms combine together to form solid metal piece, the unfilled atomic valence electronic orbitals combine to form very closely placed or stacked PARTIALLY FILLED network orbitals. It is very easy for the electrons to move from one orbital to another. When the negatively charged electrons move in the same direction, the electicity flows from one location to another.

On contrast, the valence electronic orbitals of non-metals are completely FILLED, and thus the valence electrons of non-metals are trapped locally thus can NOT carry electricity from one location to another.
Valence electrons can easily travel between the metal atoms.

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