Past exam of the chemistry A course of the University of Cambridge / 2025 / Paper 2 / A10 / a / ii / Solution

Using the same intrinsic-carrier approximation at

300 K

gives

\frac{n _{i, β}}{n _{i, α}} ≃ e^{0.1/ (k_{B} 300)} = 47.85 .

Similar mass density and coordination do not prove equal electron and hole effective masses; this result isolates the exponential band-gap effect.

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