Question

An element occurs in the body centered cubic lattice with a cell edge of $300$ pm. The density of the element is $8.0$ g cm${}^{-3}$. The number of nearest neighbors and the next nearest neighbors are, _______ respectively

• A. $4$ and $6$
• B. $4$ and $8$
• C. $8$ and $8$
• D. $8$ and $6$

Answer 1

The correct option is D $8$ and $6$

The number of nearest neighbors and the next nearest neighbors are, 8 and 6 respectively.
Consider the atom present at the body center. Its first nearest neighbors are 8 atoms situated at 8 corners of the unit cell. Its next nearest neighbors are 6 atoms present at the body centers of neighboring 6 unit cells.