Completely filled conduction band

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Discussion Overview

The discussion revolves around the concept of a completely filled conduction band in solid-state physics, particularly in relation to Pauli's exclusion principle and the implications of applying an electric field under such conditions. Participants explore theoretical scenarios, the nature of energy states, and the characteristics of the conduction band.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions the implications of filling all energy states in the conduction band and applying an electric field, referencing Pauli's exclusion principle.
  • Another participant argues that the conduction band has a continuous range of empty states, suggesting that electrons can move to these states with minimal energy input.
  • There is a query about whether the number of states in the conduction band is finite and whether it is possible to fill all energy states, with a response indicating that the total number of states is theoretically infinite.
  • Participants discuss the analogy between conduction band states and atomic states, noting that both can be considered to have continuous states rather than discrete ones.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of filling all states in the conduction band and the implications of doing so. The discussion remains unresolved, with multiple competing perspectives on the nature of conduction band states.

Contextual Notes

Participants highlight the dependence on definitions of filled and empty states, as well as the implications of applying external fields in this context. There are unresolved questions regarding the nature of energy states and their occupancy.

Karthikeyan
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Hi all,
From Pauli's principles, electrons cannot move into an already filled state. If i assume that somehow I fill in all the energy states in the conduction band (Population inversion :confused: )and then apply an electric field what happens??

Thanks...
 
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But look at the conduction BAND itself, which has a continuous empty states by definition. This means that it takes miniscule amount of energy for an electron to occupy an empty state from the filled state, and it does.

Zz.
 
ZapperZ said:
But look at the conduction BAND itself, which has a continuous empty states by definition. This means that it takes miniscule amount of energy for an electron to occupy an empty state from the filled state, and it does.

Zz.
What about the number of states in the conduction band? Is this finite?? Is it like we can never fill all the energy states in the conduction band??
 
Last edited:
Karthikeyan said:
What about the number of states in the conduction band? Is this finite?? Is it like we can never fill all the energy states in the conduction band??

In principle, the total number of states is "infinite". But this isn't something unusual, because you can almost say the same thing about atomic states, since you set the principle quantum number to be "large" to get to the vacuum states. The same with the conduction band, except that it has a continuous states, rather than discrete.

Zz.
 

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