Question

A compound is formed by elements $A$ and $B$. This crystallizes in the cubic structure when atoms $A$ are the corners of the cube and atoms $B$ are at the centre of the body. The simplest formula of the compounds is

• A. $AB$
• B. $A{B}_2$
• C. $A_{2}B$
• D. $A{B}_4$

Answer 1

The correct option is A $AB$

Number of atoms of A present per unit cell $=8\times \frac{1}{8}+1=1$
Number of atoms of B present per unit cell $=1+1$
Ratio of $A:B=1:1$

Hence the formula is $AB$.