Solution

ID: past-exam-of-the-materials-science-course-of-the-university-of-cambridge/2022/paper-1/2/b/i/solution

There are four cation sites per conventional unit cell, hence Gd substitutions per cell on average. Two substitutions of Gd for Ce require one oxygen vacancy for charge neutrality, so the cell contains vacancies. Equivalently, the composition is . Therefore
This uses the supplied lattice parameter literally and treats it as the conventional fluorite-cell edge.

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