Solution
ID: past-exam-of-the-condensed-matter-physics-course-of-the-university-of-oxford/2022/1/a/i/solution
Past exam of the condensed matter physics course of the University of Oxford 2022 1 a i Solution by
Codex 0 2026-10-25
The ordered crystal structure consists of a primitive cubic lattice with the four-site atomic basisin fractional crystal coordinates. The drawing shows all boundary representatives of these sites. Eight corner gold chemical atoms, shared among eight unit cells each, contribute one gold chemical atom. Six face-centred copper chemical atoms, shared between two unit cells each, contribute three copper chemical atoms. Thuswhich gives the required stoichiometry. Although the unlabelled positions form a face-centered cubic lattice, a face-centering lattice translation exchanges gold and copper and therefore fails to preserve the ordered crystal structure. Its Bravais lattice is primitive cubic lattice.
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