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A metal crystallizes in bcc lattice. The...

A metal crystallizes in `bcc` lattice. The percent fraction of edge length not covered by atom is

A

0.114

B

0.104

C

0.134

D

0.124

Text Solution

Verified by Experts

(c ) Edge length not covered by atom=-2r
"["therefore "For" bcc, r+(sqrt3)/(4)a"]"
`a=-2xx(sqrt3)/(4)a=a[(2-sqr3)/(2)]`
`therefore "% of fraction not covered"=(a[[2-sqrt3)/(2)]xx100)/(a)`
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