The fluorite structure has Ce on the corner and face-centre sites of a face-centered cubic lattice. Oxygen occupies all eight positions with each coordinate independently or . In projection, there are four oxygen positions , each representing two heights. Accounting for shared boundary sites gives four Ce and eight O per conventional unit cell.
Figure 1.
Fluorite unit-cell projection with oxygen heights distinguished
. Original coordinate-based plan; each oxygen marker represents heights and . Cerium edge-centre and face-centre heights are labelled. Details.

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