In a solid $A B$ having $N a C l$ structure, $A$ atoms occupy the corners of the cubic unit cell. If all the face-centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid is:

A B_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A_{2} B

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A_{4} B_{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A_{3} B_{4}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $A_{3} B_{4}$
As given, AB has NaCl - type structure (fcc systems).

$∴$ Number of A atoms
$= 8$ (corner) $\times \frac{1}{8}$ (per corner share) $+ 6$ (faces) $\times \frac{1}{2}$ (per face center share) $= 1 + 3 = 4$ per unit cell

Number of B atoms
$= 12$ (edges) $\times \frac{1}{4}$ (per edges share) $+ 1$ (body center) $= 1 + 3 = 4$ per unit cell

Number of A atoms removed (face centered atom of one axis)
$= 2$ (faces) $\times \frac{1}{2}$ (per face centre share) $= 1$ per unit cell

Number of A atoms left $= 4 - 1 = 3$ per unit cell

Therefore, the formula is $A_{3} B_{4}$ .

Hence, option is D.

Suggest Corrections

Similar questions

Q. In a solid AB having the NaCl structure, A atoms occupy the corners of the cubic unit cell. If all the face centered atoms along one of the axes are removed, then the resultant stoichiometry of the solid is

(A) AB_2.(B) A₂B. (C) A₄B_3.(D) A₃B₄

In a solid AB having the NaCl structure, A atoms occupy the corners of cube unit cell. If all the face centred atoms along one of the axes are removed, then resultant stoichiometry of the solid is

1.AB2

2.A2B

3.A4B3

4.A3B4

In a solid AB having the NaCl structure, A atom occupies the corners of the cubic unit cell. If all the face-centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid is:

Q. In a solid AB having the

N a C l

structure, 'A' atoms occupy the corners of the cubic unit cell. If all the face centred atoms along one of the axes are removed, the resultant stoichiometry of the solid is:

Q. In a solid ab having the NaCl type structure. atoms occupy the corners of the cubic unit cell. if all the corners atoms along one of the axes are removed, then the resultant stoichiometry of the solid is :

Join BYJU'S Learning Program

In a solid AB having NaCl structure, A atoms occupy the corners of the cubic unit cell. If all the face-centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid is:

In a solid $A B$ having $N a C l$ structure, $A$ atoms occupy the corners of the cubic unit cell. If all the face-centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid is: