Elements of Band Structure

Abstract

Origin of electron bands from atomic proximity, or from atomic periodicity in a crystal lattice are indicated. The proximity approach retains chemical atom identity. Atomic level splitting is tabulated and tunneling for electron transfer is discussed. Electronic structure of amorphous semiconductors are identified. Computed eigenvalue spectrum; Periodicity approach; Schrödinger equation for electron wave; k-vector; electron momentum; de Broglie wavelength; value; electron eigenstates; Bloch function; plane wave; Kronig-Penney Potential; explicit mathematics of band model; E(k) diagram; reduced k-vector; Newtonian description of quasi-free electrons; Kinetic electron energy; effective mass discussion; Comparison of periodicity vs. proximity approach; Band edge fuzzing of amorphous semiconductors; Discrete levels in band gap; plausibility approach.