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Is the relationship between the majority carrier concentration and the minority carrier concentration of a semiconductor the same with temperature?

Semiconductors will obey the thermal equilibrium conditions at any temperature: np=ni2. Therefore, majority carriers and minority carriers are mutually restricted. Most carriers mainly come from doping, while minority carriers come from intrinsic excitation (belonging to intrinsic carriers).

Is the relationship between the majority carrier concentration and the minority carrier concentration of a semiconductor the same with temperature?

[Summary]Semiconductors will obey the thermal equilibrium conditions at any temperature: np=ni2. Therefore, majority carriers and minority carriers are mutually restricted. Most carriers mainly come from doping, while minority carriers come from intrinsic excitation (belonging to intrinsic carriers).

Information

Semiconductors will obey the thermal equilibrium conditions at any temperature: np=ni2. Therefore, majority carriers and minority carriers are mutually restricted. Most carriers mainly come from doping, while minority carriers come from intrinsic excitation (belonging to intrinsic carriers). When the majority carrier concentration is increased by doping, the chance of the majority carrier and the minority carrier recombination increases, which will reduce the minority carrier concentration; when the temperature is increased, the minority carrier concentration It increases exponentially, and the chance of recombination with majority carriers also increases, and the thermal equilibrium relationship is still maintained. When the temperature is not very high, the increased intrinsic carrier concentration will be much smaller than the majority carrier concentration provided by the doping. Therefore, for the majority carrier, the concentration can be considered to be basically equal to the doping concentration. It has little to do with temperature. Of course, when the temperature is so high that the intrinsic carrier concentration increases to be equal to or greater than the majority carrier concentration, it becomes a semiconductor dominated by intrinsic carrier conduction, that is, intrinsic semiconductor. The contribution of doping can be ignored.

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