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Question

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

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Solution

A present in corners and face centre.
B present in alternate tetrahedral voids.
Along one body diagonal, two atoms of A are present and one atom of B is present. After removal of all the atoms along the body diagonal, number of A per unit cell =6×18+6×12=154
Number of B per unit cell =41=3
x:y=154:3=5:4
x+y=5+4=9

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