Bonding Forces and Energy Bands in Solids

• Electrons are limited to sets of discrete energy levels within the atoms, with large gaps in between them where no energy state is available for electron to occupy.
• Electrons in the solids also are restricted to specific energies and are not allowed at other energies.
• The difference → in solid, the electron has a range of available energies.

• The discrete energy levels of isolated atom spread into bands of energies in the solid because

i) In the solid, wave functions of the electrons in neighboring atoms overlap, therefore, it affects  potential  energy  term  and  boundary  conditions  in  the schrodinger equation, and diverse energies are obtained in solution,

ii) an electron is not necessarily localized at the particular atom.

• The influence of neighboring atoms on energy levels of the particular atom can be treated as small perturbation, giving rise to the splitting and shifting of energy states into the energy bands.

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