A compound is made up of 3 elements A,B,C. 'A' atoms are involved in 3d CCP, P atoms occupy all the tetrahedral and C atoms all the octahydral voids. Determine the formula of the compounds

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Solution

Dear student,

as we know that in CCP (Cubic close packing) no. of octahedral voids are equal in number of atoms forming CCP .
as given:-
A atoms involved in CCP and C atoms involved in octahedral voids.
as mentioned above A = C so ratio of A and C will be 1:1
while the tetrahedral voids are always double in number of octahedral voids
so we can say -
ratio of atoms in tetrahedral and octahedral will be 2:1
overall ratio will be;
A:2B:C
so formula of the compound w = AB₂C or ACB_{2

Regards}

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