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ID: past-exam-of-the-materials-science-course-of-the-university-of-cambridge/2017/paper-1/3/b/i/solution

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Past exam of the materials science course of the University of Cambridge / 2017 / Paper 1 / 3 / b / i / Solution by

Codex  0 2026-10-20

The even indices give an allowed reflection. Its spacing is

d_{200} = 0.280 nm

, and

θ_{B} = sin^{- 1} \frac{0.154}{2 ( 0.280 )} = 15.9 6^{\circ}, 2 θ_{B} = 31.9 2^{\circ} .

(1)

The

(200)

planes are parallel to the cut

(100)

face, so the ordinary coupled reflection scan reaches them directly. This is an easy, strong peak, with the two ionic amplitudes adding rather than subtracting.

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