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Question

Chemistry Question on The solid state

Number of atom per unit cell in B.C.C.

A

9

B

4

C

2

D

1

Answer

2

Explanation

Solution

The correct option is (C) : 2

In BCC, the cube's body centre and corners are occupied by lattice atoms. A cube contains 8 corners, each of which contributes 18\frac{1}{8} of the total. The effective number of atoms per cube = 18\frac{1}{8}×8 = 1. Additionally, each cube will contain one body centre, and a body centre will have a contribution of 1. Therefore, the actual number of atoms in a cube is 1. So, the BCC has a total of 1+1=2 atoms.