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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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For a fcc structure, edge length (a) is related to the radius (r)
`r=(a)/(2sqrt2)=((400"pm")/(2sqrt2))=141.42"pm"`
In octahedral (fcc) void R = 0.414 r
`=0.414xx141.42`
Diameter `=2R=2xx0.414xx141.42=117.096"pm."`
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