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Question

Chemistry Question on packing efficiency

Total number of metal atoms per unit cell in a face-centred cubic lattice is

A

14

B

8

C

6

D

4

Answer

4

Explanation

Solution

In a fee lattice, Contribution of 88 atoms at comers =8×18=1=8\times \frac{1}{8}=1 Contribution of 6 face centred atoms =6×12=3=6\times \frac{1}{2}=3 \therefore Total number of atoms per unit cell =1+3=4=1+3=4