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In an atomic bcc lattice what fraction o...

In an atomic bcc lattice what fraction of edge is not covered by atoms?

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If a is the edge length of bcc unit cell and r is the radius of atom, then
edge not covered by atoms = `a - 2r`
In bcc, body diagonal = `sqrt(3) a`
`4r = sqrt(3) a " or " r = (sqrt3)/(4) a`
`:.` Edge not convered by atoms =` a - 2 xx (sqrt3)/4 a`
`= (a(2 - sqrt(3)))/(a) = (2 - 1.732)/2 = 0.134 %`.
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