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Question

Chemistry Question on Unit Cells

How many lattice points belong to a face centered cubic unit cell?

A

1

B

2

C

4

D

3

Answer

4

Explanation

Solution

In face centred cubic lattice, the atoms are present at eight corners of faces and one each at 6 faces. \therefore Lattice points belonging to face centred cubic unit cell = 8×18+6×12=48 \, \times \, \frac{1}{8} \, + 6 \, \times \frac{1}{2} \, = \, 4