The motion of electron in an periodic potential is explained by
Answers
Answer:
Electron motion in periodic potential
Explanation:
Day and night, changing phases of the moon, beating of heart, clock striking an hour are all examples of periodic motion whereas water becoming ice, burning of matchstick etc are non periodic changes.
The motion of electron in an periodic potenial is explained by Bloch theoerm.
The wavefunction satisfies Bloch theorem ,according to which the solution is a product of a free electron function another function having the periodicity of the lattice.
The Bloch theorem states that if the potential V(r) in which the electron moves is periodic with the periodicity of the lattice, then the solutions of the Schrodinger wave equation.
The potential is caused by the ions in the periodic structure of an the crystal creating an electromagnetic field so electrons are subject to a regular potential inside the lattice.
It is a generalization of the free electron model, which assumes zero potential inside the lattice.