AP EAMCET · Chemistry · Solid State
In a \(A_x B_y\) crystal structure, \(A^{+y}\) ions occupy all the tetrahedral voids and \(\mathrm{B}^{-\mathrm{x}}\) ions make \(\mathrm{BCC}\) unit cell: What is the formula of the compound?
- A \(\mathrm{A}_4 \mathrm{~B}_2\)
- B \(\mathrm{A}_2 \mathrm{~B}_4\)
- C \(\mathrm{A}_2 \mathrm{~B}_2\)
- D \(\mathrm{A}_4 \mathrm{~B}_4\)
Answer & Solution
Correct Answer
(A) \(\mathrm{A}_4 \mathrm{~B}_2\)
Step-by-step Solution
Detailed explanation
Number of \(\mathrm{A}^{+\mathrm{y}}\) ions \(=2 \times\) number of atoms per unit cell. Number of \(\mathrm{B}^{-\mathrm{x}}\) ions \(=2(\mathrm{BCC})\) per unit cell. \(\Rightarrow\) Number of \(\mathrm{A}^{+\mathrm{y}}\) ions \(=2 \times 2=4\) \(\Rightarrow\) Formula…
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