Answer :

The formula can be determined by using the following method

Let the number of atoms of the element N = n

Number of tetravalent voids = 2n

It is given that the atoms of element M occupy 1/3 of the tetrahedral voids.

So that the number of atoms of M = (1/3) × 2n

Ratio of the number of atoms of M and N

M:N =2n/3:n

Multiplying the 3 and divide by n we get

M:N = 2:3

Hence, the formula of the compound is M_{2}N_{3} .

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