 Solution

ID: past-exam-of-the-condensed-matter-physics-course-of-the-university-of-oxford/2017/1/c/i/solution

Use the angle between two planes defined as the acute angle between their normal vectors. The normals

(1, 1, 1)

and

(- 1, 1, 1)

3

. Thus

ϕ = cos^{- 1} (\frac{1}{3}) = 70.528 8^{\circ} .

Choosing an oriented rather than an acute interplanar angle could give the supplementary

109.471 2^{\circ}

; it describes the same unoriented pair of lattice planes.

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