A solid compound is formed containing x , y and z atoms in a cubic lattice with x atoms at corners. Y atoms at body centre and z atoms at face centres. What is empirical formula of compound ?

Explanation

Since atom X is present at corner and one corner is shared by eight unit cells, Number of X atoms per unit cell `=(1)/(8)xx8 =1.`
Atom Y is present at body centered position and used by only one unit cell. So, number of Y atoms per unit cell = 1.
Atom Z is present at the centre of each face, so shared by two unit cells, thus numbers of Z atoms per unit cell `= (1)/(2) xx6 =3 .`
Hence, the formula of compound = `XYZ_(3)`