In a solid 'AB' having rock salt arrangement ( N a C l structure), 'A' atoms occupy the corners and face center of the cubic unit cell. 'B' atoms occupies all octahedral

Question

In a solid 'AB' having rock salt arrangement ( N a C l structure), 'A' atoms occupy the corners and face center of the cubic unit cell. 'B' atoms occupies all octahedral voids of the unit cell. If all the face-centered atoms along one of the axes are removed, then the resultant stoichiometry of the solid is

TestHub · Accepted Answer

There were 6 A atoms on the face-centres removing face-centred atoms along one of the axes means removal of 2 A atoms.

Now, number of A atoms per unit cell

Number of B atoms per unit cell

$= \underset{(e d g e c e n t r e d)}{12 \times \frac{1}{4}} + \underset{(b o d y c e n t r e d)}{1 = 4}$

Hence the resultant stoichiometry is $A_{3} B_{4}$

Chemistry - Solid State Question with Solution | TestHub

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