Question

Atoms of elements A and B crystallize in hep lattice to form a molecule. Element A occupies 2/3 of tetrahedral voids, the formula of molecule is ______.

Options

• A₃B₄

• A₃B₂

• A₄B₃

• A₂B₃

Answer 1

Atoms of elements A and B crystallize in hep lattice to form a molecule. Element A occupies 2/3 of tetrahedral voids, the formula of molecule is A₄B₃.

Explanation:

There are two tetrahedral voids associated with each atom. Since A occupy tetrahedral voids, the ratio of A and B is,

2A  :  B

`2 xx 2/3`  :  1

`4/3`  :  1

∴ 4 : 3

∴ Ratio of A : B = 4 : 3

∴ Formula of molecule is A₄B₃