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a metal crystallizes with a face-centere...

a metal crystallizes with a face-centered cubic lattice.The edge of the unit cell is `408` pm. The diameter of the metal atom is :

A

288 pm

B

408 pm

C

144 pm

D

204 pm

Text Solution

Verified by Experts

The correct Answer is:
C
For fcc,lattice , ` r = a/(2sqrt2) = 0.3535 a `
= `0.3535 xx 408 "pm" = 144 "pm"`
Diameter = 2 r = 288 pm.
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