What is the effect of periodic potential on the energy in a metal? Explain it on the basis of Kronig Penney Model and explain the formation of energy bands.
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Answer:
Explanation:
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.
A virtue of this model is that it is possible to analytically determine the energy eigenvalues and eigenfunctions. It is also possible to find analytic expressions for the dispersion relation (E vs. k) and the electron density of states. [2] Derivations are given below.
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when a particular potential energy is supplied on a metal then the energy of the electrons present in the valence shell increases and they migrate to the outer orbit.
Explanation:
- Kroinig penney model is a useful model which is used to determine the position of the electron in a two dimensional plane.
- It is based on the modification of the schrodinger wave equation. It helps in finding the details of the atomic structure which is present outside the nucleus of an atom.
- based on this the formation of the energy band can be explained where application of energy results in the movement of the electron from the inner shell to the outer shells.
To know more,
Define kronig penny model - Brainly.in
https://brainly.in/question/2515725
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