[Physics] Why isn’t ice a good electrical conductor

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Water can conduct electricity, and some solids can conduct. Why can't ice? Are ice molecules too packed together to let valence shell electrons bounce across each other to create electrical charge? Does ice stop conducting completely at absolute zero?

Best Answer

Conduction in water is mostly ionic - for pure water you have a very small fraction of ionized molecules (about 2 parts in 10$^{-7}$), so conductivity for pure water is poor. Add a little electrolyte (for example NaCl) and conduction improves. But in an ice crystal, the molecules / ions cannot move, so the main conduction mechanism is disabled. In that case you rely on occasional conduction band electrons - but there aren't many of those around. The band gap is about 7.8 eV source which means that the number of electrons excited into the conduction band at 0C will be extremely low - the fraction given by the Boltzmann factor $e^{-E/kT}=e^{-322}$

Contamination and impurities can bring the band gap down significantly - but pure ice is a good insulator.

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