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The Solid State

Question
CBSEENCH12010137

How many atoms constitute one unit cell of a face-centered cubic crystal? 

Solution

Number of atoms in one face centred cubic unit cell can be determined:-

 

(i) 8 corners atoms × 1/8 per corner atom =   1 over 8 x 8= 1 atom

(ii) 6 face-centered atoms × 1/ 2 atom per unit cell =  1 half x 6= 3 atoms

 

∴ Total number of atoms per unit cell = 4 atoms