Question

The nearest neighbor distance in a simple cubic lattice is :

• A. $a$
• B. $\frac{a}{\sqrt{2}}$
• C. $\frac{a}{\sqrt{3}}$
• D. $\frac{\sqrt{3}a}{2}$

Answer 1

The correct option is A $a$

In a simple cubic lattice, two atoms touch each other along the edge of a cube.

Hence, the distance between the centres of the nuclei of two adjacent atoms is equal to the edge length of the cell which is $a$.

Hence, the nearest neighbour distance in a simple cubic lattice is $a$.