Solid state physics - FFC structure of NaCl

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SUMMARY

The discussion focuses on the face-centered cubic (FCC) structure of sodium chloride (NaCl), specifically calculating the separation between nearest neighbors, sodium (Na) and chlorine (Cl). The lattice parameter is given as a = 5.63 angstroms. The separation is derived from the FCC geometry, where the nearest neighbor distance is calculated as a/2, but the correct interpretation involves understanding the positions of the atoms in the unit cell, leading to a distance of a/sqrt(2).

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Anabelle37
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Homework Statement



NaCl is a face-centred cubic with a basis at Na(0,0,0) and Cl at (a/2,a/2,a/2) and lattice parameter a = 5.63 angstrom. calculate the separation between nearesr neighbours (Na and Cl).


The Attempt at a Solution



Just by looking at the NaCl structure the separation between nearesr neighbours looks like a/2, but I don't know how to explain the answer?
 
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in fcc structure you have an atom at (x,y,z) and also at (1/2,1/2,0)+, (0,1/2,1/2)+, (1/2,0,1/2)+, that gives a/sqrt(2)
 

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