Answer to Question #124258 in Inorganic Chemistry for Suraj

Question #124258
A compound is formed by two elements A and B.Atoms of element B ( as anions) make ccp and those of element A (as Cations) occupies all the octahedral voids and half of the tetrahedral voids. What is the formula of the compound? *
1
Expert's answer
2020-06-29T07:47:12-0400

Atoms in "B" form ccp( cubic close parking) and is analogous to fcc( face centred cubic.

The effective number of atoms of "B" in lattice is thus;

"(" "1\\over 8" "*8)" "+(" "1\\over 2" "*6)" "=4"

Number of tetrahedral voids in "A" which forms (ccp or fcc) is "n" atoms or anions.

The number of tetrahedral voids will thus be "1\\over 2" "(2n)" "=n"

"n=4"

The compound is thus "A_4B_4"

It's simplified ration "A:B=4:4" "=1:1"

The compound has formula "AB"


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