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In closest packing of atoms

$\begin{array}{1 1}(A)\;\text{The size of tetrahedral void is greater than that of the octahedral void}\\ (B)\;\text{The size of the tetrahedral void is smaller than that of the octahedral void}\\(C)\;\text{The size of tetrahedral void is equal to that of the octahedral void }\\(D)\;\text{The size of tetrahedral void may be larger or smaller or equal to that of the octahedral void depending upon the size of atoms.}\end{array} $

1 Answer

For tetrahedral voids
$\large\frac{r_+}{r_-}$$= 0.225, r_+ = 0.225 r_– $ …(i)
Similarly for octahedral voids
$r_+ = 0.414 r_– $ …(ii)
From equation (i) and (ii) it is clear that size of octahedral void is larger than that of tetrahedral voids.
Hence (B) is the correct answer.
answered May 30, 2014 by sreemathi.v
 

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