 Solution

ID: past-exam-of-the-chemistry-a-course-of-the-university-of-cambridge/2025/paper-2/a10/a/iii/solution

500 K

, the same approximation gives

\frac{n _{i, β}}{n _{i, α}} ≃ e^{0.1/ (k_{B} 500)} = 10.18 .

As temperature rises, the relative advantage from a fixed gap difference becomes smaller, even while the intrinsic carrier densities of both phases increase.

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