 Solution

ID: 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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