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An element crystallizes in fcc lattice h...

An element crystallizes in fcc lattice having edge length `400 pm` Calculate the maximum diameter of an atom which can be place in interstitial site without distorting the structure.

Text Solution

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In fcc unit cell , we can use
`asqrt(2)=4r`
`r=(asqrt(2))/(4)=(400xxsqrt(2))/(4)=141.4` pm
For octahedral void,
`2(r+R)=a`
`2R=a-2r`
`2R=a-2r=400-2xx141.4=177.16` pm
Diameter of greatest sphere =117.16 pm
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