Systematic absences in XRD patterns of cubic crystals are diagnostic of lattice centering: face-centred (F) lattices permit only reflections where hkl are all-even or all-odd.
The observed peaks 111, 200, 220, 222, 311 all have Miller indices that are either all-odd (111, 311) or all-even (200, 220, 222) -- exactly...
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