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Question

An element crystallises in fcc lattice having edge length 350 pm. Maximum radius of the atom which can be placed in the interstitial site without distorting the structure is

A
58.55 pm
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B
117 pm
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C
51.23 pm
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D
83 pm
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Solution

The correct option is C 51.23 pm
For fcc structure,

(r+r)=0.414for octahedral void

=0.225for tetrahedral void

Thus, maximum radius can be for octahedral void

r+=0.414r

Also, r=a22

r+=0.414a22=0.414×35022=144.922=51.23pm
Hence, (C) is the correct option.

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