A solid has a cubic structure in which X atoms are located at the corners of the cube, Y atoms are at the cube centres, and O atoms are at the edge centers. What is the formula of the compound is XYOa?. The value of a is

Question

Infinity Learn · Accepted Answer

Atoms of X are present at all eight corners of the cube. Therefore, each atom of X at the corner makes $$1/8$$ contribution toward the unit cell. Number of atoms of X per unit cell $$=8$$×$$18=1Y$$ atom is present at the body center, thus contribution of Y toward unit $$cell-$$ $$1$$× $$1=$$ IO atom is present at each of the edge center $$(number$$ of edges of cube $$=$$ $$12)And$$ each O atom present at edge center will make $$1/4$$ contribution toward the unit cell. The number of O atoms per unit cell $$=12$$×$$14=3The$$ formula of the compound is, therefore, $$XYO3$$

Q.

Unlock the Full Solution and Master the Concept