Density of holes in valence band

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SUMMARY

The density of holes in the valence band (VB) directly corresponds to the number of electrons that transition to the conduction band (CB). When 2.5 electrons/cm3 leave the VB for the CB, the resulting density of holes is also 2.5 holes/cm3. The effective mass of electrons, whether mn* in the crystal or m0 in the CB, does not influence the numerical relationship between electrons and holes; one electron leaving the VB creates one hole.

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  • Concept of effective mass in solid-state physics
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Caulfield
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When electrons leave the valence band and jump over the gap to the conduction band, what is the density of the remaining holes?

If 2.5 electrons/cm^3 leave the VB to the CB, will the density of remaining holes be 2.5 electrons/cm^3?

To me it is logical, but I am wondering if mass of electron can change it. In crystal electron has mass mn*, and in CB, that mass is m0.
 
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1 electron always leaves one hole. If you did not have holes before and 2.5 electrons/cm^3 migrate, then you'll have 2.5 holes/cm^3. The effective mass of electrons and holes does not matter for their number.
 

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