ENERGY STRUCTURE OF ZONES AND EXCITONS,
Abstract
To better understand the properties of solid bodies, one must understand the zone theory. Basic assumptions of the zone theory are: the many-body problem is reduced to a single-electron problem, changes in the balanced configuration of the nuclei are disregarded, the requirement imposed on the totality of electrons by Fermi statistics are not considered in the equation of electron interaction. Two basic results of the quantum-mechanical calculation are: (1) the valence electron does not belong to a specific lattice point and can be found at any lattice point with equal probability; electrons of the inner shells are fixed in the lattice points just as in isolated atoms; (2) the electron levels of atoms in the crystal expand into quasi-continuous zones; zones are formed due to the well-known quantum-mechanical conclusion about the connection between energy uncertainty and life span of a given electron. For a given crystal valence electron; for this reason, the width of the zone of possible energies of the electron is given. The minimum magnitude of energy required to transfer an electron from the highest filled band to the lowest free zone is known as the energy of a given forbidden zone. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 19, 1970
- Accession Number
- AD0712812
Entities
People
- V. V. Sobolev
Organizations
- National Air and Space Intelligence Center