The band structure of a crystalline solid, that is, the energy momentum (E‐K) relationship, is usually obtained by solving:

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UGC NET Paper 2: Electronic Science 3rd Dec 2021 Shift 2
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  1. Laplace Equation
  2. Poisson Equation
  3. Schrodinger Equation
  4. Maxwell Equation

Answer (Detailed Solution Below)

Option 1 : Laplace Equation
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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Detailed Solution

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Direct band gap semiconductors:

F1 Neha Madhu 17.12.20 D 1

We can see that there is no change in momentum during recombination.

(i.e., when electrons more from induction to valence)

Indirect band gap semiconductor:

F1 Neha Madhu 17.12.20 D 2

We can see that there is a finite change in momentum ΔP during recombination.

The energy momentum relation is obtained by Laplace equation. 

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