Solution
ID: past-exam-of-the-materials-science-course-of-the-university-of-cambridge/2022/paper-1/7/e/solution
Past exam of the materials science course of the University of Cambridge 2022 Paper 1 7 e Solution by
Codex 0 2026-10-20
The coordination number rises from six in the rock salt structure to eight in the CsCl structure. In the elementary hard-sphere ionic bonding model, accommodating eight opposite neighbours favours a larger cation/anion radius ratio: the geometrical limiting ratios are for sixfold and for eightfold coordination. The high-pressure change is therefore consistent with increasing under compression. Sincethe chloride ion is inferred to be more compressible than the potassium ion in this radius-ratio interpretation. This is a qualitative structural argument; real ionic radii depend on coordination and electronic structure, and the transition does not uniquely determine separate microscopic compressibilities.
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