Question

Number of second nearest neighbours in body centred lattice is:

• A. $6$
• B. $7$
• C. $5$
• D. $4$

Answer 1

The correct option is A $6$

In the body-centred structure each atom has eight nearest neighbours at a distance $\frac{\sqrt{3}a}{a}$, the atoms at the centres of the cubes being the neighbours of those at the corner.

Each atom has 6 second nearest neighbours. Thus for the atom body centre, the six-second nearest neighbours are 6 atoms at the body centres of 6 adjacent unit cells.

Hence, the correct option is $\text{A}$