A solid has a cubic structure in which 'X' atoms are located at the C0rners of the cube, 'Y' atoms are at the cube centres and 0 atoms are at the edge centres. What is the formula of the compound?

Explanation

There are eight C0rners and each C0rner has an atom of
.X. present there. Each atom of .X. at the C0rner makes .1/8. C0ntribution towards a particutar unit cell. The number of atooms of .X. per unit cell .=8 xx 1/8=1. .Y. atom. present at the body-centre belongs to a particular unit cell. The number of atoms of .Y. per unit cell .=1 xx 1=1. Thereare 12 edges-of a cube and each edge has an atom of .O. present at the edge centre. Each atom of
O present at edge centre makes .1/4. C0ntribution towards a particular unit cell. The number of .O. atoms per unit cell .=12 xx 1/4=3. The formula of the compound is, therefore, .XYO_3.