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The Solid State

Question
CBSEENCH12005463

How many lattice points are there in one unit cell of each of the following lattice?
(i) face centered cubic
(ii) face centered tetragonal
(iii) body centered.

Solution

Solution:

(i) One unit cell of a face-centered cubic has 8 lattice points are corners and 6 lattice points at faces, total 14 lattice points.

(ii) One unit cell of face-centered tetragonal has 8 lattice points are corners and 6 lattice points at faces, total 14 lattice points.

(iii) One unit cell of body centered has 8 lattice points are corners and 1 lattice points at faces, total 9 lattice points.