A unit cell consists of a cube in which the atoms A are occupying the corners while the atoms B are present at the centre of each face. If the atoms A are missing from 2 corners, what is the simplest formuls of the compound ?

Answer

`AB_(4)`

Explanation

Contribution by atoms A present on six corners of the unit cell = 6/8 = 3/4
Contribution made by atoms B on the centre of all the six faces = 3
The atoms of A and B are in the ratio 3/4 : 3 = 1 : 4
Formula of the compound = `AB_(4)`.