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i was wondering how the coordination numbers for the atomic positions of atoms in crystals such as NaCl are derived

...more specifically why is Na at (0,0,0) and Cl at (1/2,1/2,1/2) and not

(0,0,0) and (1/4,1/4,1/4)

of course this is in fractional coordinates

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# Deriving fractional atomic coordination numbers

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