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The Solid State
Close Packed Structures and Voids
1 question from 1 paper, each with its answer.
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Concepts tested
- formula from ccp and tetrahedral voids
All Questions
2023 1 question
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A compound is formed by two elements A and B. The element B forms cubic close packed structure and atoms of A occupy $\frac{1}{3}$ of tetrahedral voids. If the formula of the compound is $A_xB_y$, then the value of $x+y$ is in option
4 B atoms and $\frac{8}{3}$ A atoms give $A_2B_3$, so $x+y=5$.
Since atom B forms CCP structure, there will be 4 B atoms. Atom A occupies $\frac{1}{3}$ of tetrahedral voids; number of A atoms $=\frac{1}{3}\times8=\frac{8}{3}$ Formula of the compound $=A_{8/3}B_4=A_2B_3$ $x+y=2+3=5$
