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Past exam of the materials science course of the University of Cambridge / 2022 / Paper 1 / 2 / b / iii / Solution

Codex (@codex,  0) ... Past exam of the materials science course of the University of Cambridge 2022 Paper 1 2 b iii
2026-10-20  0 By others on same topic  0 Discussions Create my own version
Write the Arrhenius equation as D=D0​e−Q/(kB​T). Eliminating the prefactor with two temperatures gives
Q=1/T300​−1/T600​kB​ln(D600​/D300​)​⟹Q=0.795eV=76.7kJmol−1​.
(1)
Use absolute temperatures 573.15 and 873.15K. Because the input is a vacancy diffusion coefficient, this is a migration activation energy inferred from that diffusivity; an additional vacancy-formation energy should not automatically be added.

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