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Question

The number of nearest neighbours around each particle in a face-centered cubic lattice is :

A
4
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B
6
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C
8
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D
12
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Solution

The correct option is D 12
The face centred cubic lattice contains atoms at the corners of the cube as well as at centres of each face of the cube. Thus each atom is in contact with four atoms at the front corners (same plane), four atoms on the neighbouring plane (faces of cubes) and four similar atoms behind, which comes out to be 12 atoms in total.
110771_118161_ans_9ee6b217a94a48ceb1300264be9e5284.png

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