Question

A compound is formed by atoms of elements A occupying the corners of the unit cell and an atom of element B present at the center of the unit cell. Deduce the formula of the compound.

• A. $A{B}_2$
• B. $A{B}_3$
• C. $A{B}_4$
• D. $AB$

Answer 1

The correct option is D $AB$

For BCC, each atom at the corner is shared by 8 unit cells. One atom at the center fully belongs to the corresponding unit cell.
Therefore, total number of atoms of A present$=\frac{1}{8}\times 8=1$
Total number of atoms of B present=1
Therefore, A:B = 1:1 implying the formula of the compound is AB.