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If carriers can be holes or free electrons, why isn´t the intrinsic carrier concentration equal to the sum of the free electron concentration and the hole concentration in the semiconductor?

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  • \$\begingroup\$ Something to think about: What happens if you have holes (un-filled electron states) and free electrons in the same area of a semiconductor? \$\endgroup\$
    – asdfex
    Commented Jun 28, 2022 at 13:41
  • \$\begingroup\$ Aren´t holes and electrons in diffrent bands? \$\endgroup\$ Commented Jun 28, 2022 at 13:42
  • \$\begingroup\$ "Bands" - yes. But these are not kind of separate. Bands are just different energy levels. And nothing prevents an electron from radiating some of its energy and dropping into a hole. \$\endgroup\$
    – asdfex
    Commented Jun 28, 2022 at 14:40

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I dont get what you mean .In semiconductors the conductivity of the semiconductor $$\sigma$$ is equal to:

$$\sigma = en_{e}\mu _{De}+en_{h}\mu _{Dh}$$

we take into account both the drift of electrons and holes

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