A compound formed by elements `A` and `B` crystallizes in cubic structure, where `A` atoms are at the corners of a cube and `B` atoms are at the face `-` centre. What is the formula of the compound ?

Options

A. AB
B. `A_6B`
C. `AB_6`
D. `A_8B_4`

Answer

A

Explanation

Atoms are present in the corners of cube=A
Atoms present at body centre = B.
We know that a cubic unit cell has 8 corners. Therefore contribution of each atom A at the corner = `1/8` . Since number of atoms per unit cell is 8, therefore total contribution = `8 xx 1/8 = 1` . We also know that atoms in the body centre, therefore number of atoms of B per unit cell = 1. Thus formula of the compound is AB.