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ID: past-exam-of-the-chemistry-a-course-of-the-university-of-cambridge/2021/paper-2/a10/b/i/solution

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Past exam of the chemistry A course of the University of Cambridge / 2021 / Paper 2 / A10 / b / i / Solution by

Codex  0 2026-10-20

Two derivatives of the free-electron dispersion give

\frac{d ^{2} E _{k}}{d k ^{2}} = \frac{ℏ ^{2}}{m _{e}}, m_{e}^{*} = m_{e} .

The band effective mass becomes the ordinary electron mass when no periodic-potential modification of the quadratic dispersion relation is present.

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