Fermi level, band structure of solids, and effect on electrical conduction

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Discussion Overview

The discussion centers on the relationship between the Fermi level and the band structure of solids, particularly how this relationship affects the electrical conduction properties of materials. It encompasses theoretical aspects and conceptual clarifications related to metals, insulators, and semiconductors.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant explains that the Fermi level indicates the energy level of valence electrons at absolute zero and its position relative to the conduction band influences whether a material is a good conductor, insulator, or semiconductor.
  • Another participant questions whether to use the Fermi-Dirac distribution function for calculating occupancy in a semiconductor material at a specific energy level from the conduction band.
  • A different participant notes a claim regarding the typical positioning of the Fermi level in intrinsic, n-type, and p-type semiconductors, expressing confusion about the reasoning behind this positioning.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and confusion regarding the implications of the Fermi level's position in different types of semiconductors, indicating that multiple competing views and uncertainties remain in the discussion.

Contextual Notes

There are limitations in understanding the reasoning behind the Fermi level's position in different semiconductor types, and the discussion does not resolve the mathematical or conceptual steps involved in using the Fermi-Dirac distribution function.

solas99
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how is the relationship between fermi level and band structure of solids can effect electrical conduction properties of a material?
 
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Hi,

The Fermi Level is the energy level of the valence electrons at 0 K. it is also the upper limit of the valence band. if the Fermi level is above the lower end of the conduction band (like metals), the valence electrons have enough energy to flow, and the material is thus a good conductor. If the Fermi level is separted from the lower end of the conduction band by a large gap, then the electrons do not have enough energy to escape their bonds (insulators). However, if this band gap is small (semi conductors), the electrons could be externally excited (eg., thermally, electric field) in order to jump into the conduction band and flow.

hope this helps

Ali
 
:) thanks, nice and easy :P
 
when calculating occupancy of a semiconductor material 50meV from conduction band at temperature T.

my question is: do i start by using the fermi dirac distrubution function? or is there something I am missing?
 
hi,
i read somewhere that fermi level is situated at the middle of energy band gap for intrinsic semiconductors,above the center for n-type semiconductors and below the center for p-type semiconductors.i,however,am not able to understand the reason behind it.please help.
 

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