Chemistry - Solid State Question with Solution | TestHub

The atoms of element $\mathrm{Y}$ form hcp structure. The number of tetrahedral voids generated is twice the number of $\mathrm{Y}$ atoms. Thus, number of tetrahedral voids $=2\mathrm{Y}$ The atoms of element $X$ occupy (1/3) of these tetrahedral voids. Hence, number of $\mathrm{X}$ atoms $=2\mathrm{Y}\times 1/3=2/3\mathrm{Y}$ Ratio of $\mathrm{X}$ and $\mathrm{Y}$ atoms $=2/3\mathrm{Y}:1\mathrm{Y}$ $=2/3:1=2:3$ $\therefore$ Formula of compound $={\mathrm{X}}_2{\mathrm{Y}}_3$