Module 6 : PHYSICS OF SEMICONDUCTOR DEVICES
Lecture 31 : Electron in a Periodic Potential
 
   Recap
   In this course you have learnt the following
Motion of an electron in a one dimensional potential well was studied. The energy levels are discrete and the
  wavefunctions are standing waves with nodes at the wall boundaries.
Motion of an electron in a periodic potential was discussed. The wavefunction satisfies Bloch theorem accoding to
  which the solution is a product of a free electron function and another function having the periodicity of the lattice.
An electron wave moving in a periodic lattice undergoes Bragg diffraction at points in $k-$ spacewhere Bragg
  condition is satisfied. This leads to creation of a forbidden gap in the energy spectrum inside which no physical state exists.
 

 

 

 

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