SaM - Mass Action Law

We have seen for instrinsic semiconductors the Instrinsic Mass Action Law, the more general rule, is as follows:

In a generic semiconducotor it is always true that: $n\cdot p=n_i^2$Or we can say:$n=\frac{n_i^2}{p}$

Where:

• $n$ : density of free electrons (in an intrinsic or extrinsic semicondutor).
• $p$ : density of free holes (in an intrinsic or extrinsic semicondutor).
• $n_i$ : density of free electrons in the intrinsic semiconductor, this density is considered constant (on $E$), but depends on the material and temperature, for intrinsic Silicon at room temperature ($300°\text{K}$) it is equal to: $n_i\simeq 0.881\cdot 10^{10}{\text{cm}}^{-3}$.

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