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An element crystallises in f.c.c. lattic...

An element crystallises in `f.c.c.` lattice having edge length `400 p m`. Calculate the maximum diameter, which can be placed in interstitial sites without disturbing the structure.

Text Solution

Verified by Experts

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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Knowledge Check

  • An element crystallises in fee lattice having edge length 350 Maximum raduis of the atoms which can be placed in the internal site without distoring the structure is

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