A compound AB has zinc blende structure with ' A ' atoms at corners and face centres of the unit cell. If all the atoms present in one body diagonal are removed, the empirical formula of the

Question

A compound AB has zinc blende structure with ' A ' atoms at corners and face centres of the unit cell. If all the atoms present in one body diagonal are removed, the empirical formula of the compound becomes A x ​ B y ​ . Then sum ( x + y ) is :

TestHub · Accepted Answer

If all atoms along one body diagonal is removed. ​ A = 6 × 8 1 ​ + 6 × 2 1 ​ = 4 15 ​ B = 3 A : B = 4 15 ​ : 3 ⇒ 15 : 12 ⇒ 5 : 4 ⇒ A 5 ​ B 4 ​ S o , x = 5 , y = 4 x + y = 9 ​

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