Question:

The energy gaps $(E_g)$ between valence band and conduction band for diamond, silicon and germanium are in the order

Updated On: Jul 29, 2022
  • $E_{g}$ (diamond) $>E_{g}$ (silicon) $>E_{g}$ (germanium)
  • $E_{g}$ (diamond) $< E_{g}$ (silicon) $< E_{g}$ (germanium)
  • $E_{g}$ (diamond) $=E_{g}$ (silicon) $=E_{g}$ (germanium)
  • $E_{g}$ (diamond) $>E_{g}$ (germanium) $>E_{g}$ (silicon)
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Solution and Explanation

The energy gaps $\left( E _{ g }\right)$ between valence band and conduction band for diamond, silicon and germanium are in the order $E _{ g }$ (diamond) $> E _{ g }$ (silicon) $> E _{ g }$ (germanium) Because diamond is an insulator and non-metallic character decreases down the group.
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Concepts Used:

Band theory of solids

Band theory of solids expresses the quantum state that an electron takes inside a metal solid. Every molecule comprises various discrete energy levels. In the band theory, you will get to know how the electrons behave inside a molecule.

Energy Bands in Solids:

Valence band

The energy band that consists of the valence electrons' energy levels is called the valence band. The valence band is available just below the conduction band and the electrons of this band are loosely bound to the nucleus of the atom.

Conduction band

The energy band comprises free electrons energy levels, known as the conduction band. For electrons to be free, external energy must be applied such that the valence electrons get struck to the conduction band and become free.

Forbidden band

The energy gap between the valence band and the conduction band is commonly known as the forbidden band which is also known as the forbidden gap. The electrical conductivity of a solid is set by the forbidden gap and the classification of the materials is done as conductors, semiconductors, and insulators.