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JEE Advanced
Exam
JEE Advanced
Subject
Chemistry
Chapter
Solid State

JEE Advanced · Chemistry · Solid State

A compound A B has zinc blende structure with ' A ' atoms at...

A compound ABA B has zinc blende structure with ' AA ' atoms at corners and face centre of the unit cell. If all the atoms present in one body diagonal are removed, the formula of the compound becomes AxByA_x B_y. The sum (x+y)(x+y) is:

Correct answer

9

Step-by-step solution

A present in corners and face centre. BB present in alternate tetrahedral voids. No. of A per unit cell =6×18+6×12=154=6 \times \frac{1}{8}+6 \times \frac{1}{2}=\frac{15}{4} No. of B per unit cell =4−1=3=4-1=3 x:y=154:3=5:4&x+y=5+4=9\begin{aligned}& x: y=\frac{15}{4}: 3=5: 4 \& x+y=5+4=9\end{aligned}
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