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

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

A
${AB}_{2}$
B
$A_{2} B$
C
$A_{4} B_{3}$
D
$A_{3} B_{4}$

Solution:

$Effective number of ' A' atoms = (8 \times \frac{1}{8}) + (4 \times \frac{1}{2}) = 3 Effectivenumberof' B' atoms = (12 \times \frac{1}{4}) + 1 = 4 ∴ Formulaofthesolid = A_{3} B_{4^{}}$

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