A) \[X{{Y}_{2}}{{Z}_{3}}\]
B) \[XY{{Z}_{3}}\]
C) \[{{X}_{2}}{{Y}_{2}}{{Z}_{3}}\]
D) \[{{X}_{8}}Y{{Z}_{6}}\]
E) \[XYZ\]
Correct Answer: B
Solution :
Since atom X is present at corner and one comer is shared by eight unit cells, number of X atoms per unit cell \[=\frac{1}{8}\times 8=1\] Atom Y is present at body centred position and used by only one unit cell. So, number of Y atoms per unit cell = 1 Atom Z is present at the centre of each face, so shared by two unit cells, thus number of Z atoms per unit cell\[=\frac{1}{2}\times 6=3\] Hence, the formula of compound\[=XY{{Z}_{3}}\]
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