Fluorite (CaF2) has a face centered cubic structure, space group 225, with network parameter equal to 5.45 Å), with four CaF2 units per cell unitary (Ca+ at site 4a(0,0,0) and F- at site 8c(1/4.1/4.1/4 and 3/4.3/4.3/4) + face centered cubic lattice translations for both ions). a) Get a simplified expression for the structure factor F(hkl) of fluorite.

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Fluorite (CaF2) has a face centered cubic structure, space group 225, with network parameter equal to 5.45 Å), with four CaF2 units per cell unitary (Ca+ at site 4a(0,0,0) and F- at site 8c(1/4.1/4.1/4 and 3/4.3/4.3/4) + face centered cubic lattice translations for both ions).

a) Get a simplified expression for the structure factor F(hkl) of fluorite.

(b) What condition must be fulfilled by the Miller indices h,k,l in such a way that F(hkl) ≠ 0?

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