AP EAMCET · Chemistry · Solid State
In \(\mathrm{A}_{\mathrm{x}} \mathrm{B}_{\mathrm{y}}\) crystal structure, \(\mathrm{A}\) atoms occupied all octahedral as well as all tetrahedral voids and B atoms are at FCC centres. What is the formula of compound \(\mathrm{A}_{\mathrm{x}} \mathrm{B}_{\mathrm{y}}\).
- A \(\mathrm{AB}_3\)
- B \(\mathrm{A}_{10} \mathrm{~B}_3\)
- C \(\mathrm{A}_{15} \mathrm{~B}_{36}\)
- D \(\mathrm{A}_3 \mathrm{~B}\)
Answer & Solution
Correct Answer
(D) \(\mathrm{A}_3 \mathrm{~B}\)
Step-by-step Solution
Detailed explanation
Number of octahedral voids \(=\mathrm{x}\) (where \(\mathrm{x}=\) total number of atoms in the rinit cell) Number of tetrahedral Voids \(=2 \mathrm{x}\) \(\Rightarrow\) Total number of ' \(A\) ' atoms \(=x+2 x=3 x\) Since all 'B' atoms occupy all the FCC centres:-…
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