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

Since there are 8 C0mers and each C0mer has an atom of .X. present, and each atom at the C0rner makes .1/8.. C0ntribution towards a particular unit cell..therefore. no. of atoms. of .X. per unit cell .=8 xx 1/8=l. .Y. atoms are present at the centre of the cube. .therefore.. no. of atoms of .Y. per unit cell .=1. There are 12 edges and each edge has an atom of .O. present at the edge centres. Each.atom of .O. present at edge centres makes .1/4. C0ntribution towards a particular unit ćell
.therefore. no. of atoms .O. atơin.per unit cell .=12 xx 1/4.
.therefore. Formula of the compound .=XYO_3.