What is the momentum of an electron?

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    Electron Momentum
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SUMMARY

The discussion centers on the momentum conservation of electrons transitioning between energy levels in materials with an indirect band gap. When an electron descends from a higher energy level, it emits a photon; however, due to the nature of indirect band gaps, this process necessitates the emission of phonons to conserve momentum. The key takeaway is that in indirect band gap materials, photons cannot carry crystal momentum, necessitating the involvement of phonons to balance the momentum difference between the electron and hole.

PREREQUISITES
  • Understanding of indirect band gap materials
  • Basic knowledge of electron energy levels
  • Familiarity with phonons and their role in crystal lattices
  • Knowledge of momentum conservation principles in quantum mechanics
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  • Study the role of phonons in solid-state physics
  • Explore the concept of crystal momentum in quantum mechanics
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iVenky
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I was learning about indirect band gap and it says that when the electron comes down from upper energy level to lower energy level it emits photon(which I can understand) but in order to conserve the momentum it emits phonons (which I couldn't understand).

Can you please help me with this?

Thanks a lot.
 
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Try wikipedia here:

http://en.wikipedia.org/wiki/Indirect_band_gap

Note the diagrams near the top of the page...

I don't know much about phonon quasi particles except that they are associated with vibrating structures like lattices...

In an "indirect" gap, a photon cannot be emitted because the electron must pass through an intermediate state and transfer momentum to the crystal lattice.

Is this your situation??...read further along in the wiki article and note

...photons cannot carry crystal momentum,...in an indirect band gap material, the process must also involve the absorption or emission of a phonon, where the phonon momentum equals the difference between the electron and hole momentum.
QUOTE]
 
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