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TS EAMCET · Chemistry · Solid State

If the length of the body diagonal of a FCC unit cell is \(x Å\), the distance between two octahedral voids in the cell in \(Å\) is

  1. A \(\frac{x}{\sqrt{2}}\)
  2. B \(\frac{x}{\sqrt{3}}\)
  3. C \(\frac{x}{\sqrt{6}}\)
  4. D \(\frac{x}{\sqrt{8}}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{x}{\sqrt{6}}\)

Step-by-step Solution

Detailed explanation

Octahedral voids are present at body centre and edge centre. Distance between octahedral void \(=\frac{\mathrm{a}}{\sqrt{2}}\) Length of body diagonal \(=\sqrt{3} \mathrm{a}\) \[ x=\sqrt{3} a \quad a=\frac{x}{\sqrt{3}} \] Distance…