write the five difference in free electron theory vs kronig penney model
Answers
The Kronig-Penney model [1] is a simplified model for an electron in a one-dimensional periodic potential. The possible states that the electron can occupy are determined by the Schrödinger equation, In the case of the Kroning-Penney model, the potential V(x) is a periodic square wave.
Answer:
Free Electron Theory
In 1900, Drude first proposed that the large electrical and thermal conductivity of metals and semiconductors is due to the presence of free electrons. Also Drude and Lorentz jointly explained these properties based on the following assumptions,
1. Free electrons that move through the specimen suffer collisions with the atoms 2. These free electrons are treated as free particles in ideal gas
3. Hence these particles obey Maxwell-Boltzmann statistics
One of the supporting points for the acceptance of this classical free electron theory was that it is in agreement with the Wiedmann-Frantz law, which relates electrical