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In face - centred cubic (fcc) crystal l...

In face - centred cubic (fcc) crystal lattice, edge length is 400 pm. Find the diameter of the greatest sphere which can be fitted into the interstital void without distortion of the lattice.

A

11.716 pm

B

117.16 pm

C

58.6 pm

D

141.4 pm

Text Solution

Verified by Experts

The correct Answer is:
B
`4r = sqrt2 a ` r = 141.4 pm
In O.V , 2(r + R) = a
`2R = a - 2r = 400 - (2 xx 141.4) = 117.16 ` pm
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