What is the significance of overlap in energy bands?

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SUMMARY

The discussion focuses on the significance of overlapping energy bands in materials, particularly in the context of semiconductor physics. It clarifies that materials with two valence electrons can exhibit high conductivity when their filled valence band overlaps with an empty conduction band, indicating no bandgap. This behavior is characteristic of metals, where the overlapping bands facilitate electrical conduction. The distinction between overlapping valence and conduction bands is crucial for understanding the conductive properties of different materials.

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  • Understanding of semiconductor physics concepts
  • Familiarity with energy band theory
  • Knowledge of valence and conduction bands
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Homework Statement


I'm using http://ece-www.colorado.edu/~bart/book/" to understand my course on semiconductor physics better. In paragraph 2.3.4, the difference between insulators, semiconductors, metals is explained, based on the differences in bands. I understand the basic model.

What I don't understand, is figure 2.3.7 b) :
fig2_3_7.gif


Materials consisting of atoms that contain two valence electrons can still be highly conducting if the resulting filled band overlaps with an empty band. This scenario is shown in b).

How should I visualize this? Which bands are overlapping? Are these two valence bands overlapping? (As is the case in most semiconductors) Or is this the overlapping of a valence band and a conduction band - hence, is there no bandgap then? Is this the behaviour of a metal?

Many thanks already,

tsu
 

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I think it is the valence band that overlaps the conducting band, of the entire solid of course. These "bands" are for the solid as a whole, not for individual atoms.
 

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