Do semiconductors have to have a full valence band?

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Semiconductors typically have a full valence band with a Fermi energy positioned between the valence and conduction bands. While individual atoms like Silicon and Germanium have partially filled outer shells, they can still form full valence bands in a solid state due to electron energy level interactions. The distinction between a valence shell and a valence band is crucial, as the latter can accommodate more electrons when atoms are closely packed. Misunderstandings about the relationship between azimuthal quantum numbers and valence bands were highlighted, indicating that the original book's implication may be incorrect. Overall, the conversation emphasizes the complexity of semiconductor behavior in solid materials.
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Hello,

In my book it says that semiconductors have a full valence band and a fermi energy somewhere in between that valence band and the conduction band. But its two examples of semiconductors, crystals of Silicon or Germanium, have a 3s^2 3p^2 resp. 4s^2 4p^2 outer shell, so surely they can't result in a full valence band?

Thank you.
 
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A valence shell is different from a valence band. It's possible for atoms with partially empty valence shells to have full valence bands because the energy levels of the electrons widen into bands and can split when the atoms are brought close together, as is the case with a solid.
 
Hm, I thought that each azimuthal quantum number l corresponded to one valence band, that is what my book is implying anyway, but I suppose that's wrong then.

Thank you.
 
well :) A single atom is one thing, and a group of closed atoms (material) is another thing.
 
wow, that's the worst explanation I've ever had about anything
 
A relative asked me about the following article: Experimental observation of a time rondeau crystal https://www.nature.com/articles/s41567-025-03028-y I pointed my relative to following article: Scientists Discovered a Time Crystal That Reveals a New Way to Order Time https://www.yahoo.com/news/articles/scientists-discovered-time-crystal-reveals-180055389.html This area is outside of my regular experience. I'm interested in radiation effects in polycrystalline material, i.e., grain...

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