 Solution

ID: past-exam-of-the-materials-science-course-of-the-university-of-cambridge/2022/paper-1/3/b/i/1/solution

F_{hk l} = f_{Sc} + f_{Al} [e^{iπ (h + k)} + e^{iπ (h + l)} + e^{iπ (k + l)}] .

Equal parity of

h, k, l

makes all three phase factors

+ 1

, hence

F_{hk l} = f_{Sc} + 3 f_{Al} .

The electron scattering factors are evaluated at the reflection's scattering vector.

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