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A metal crystallizes with a face - centt...

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

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In fcc unit cell : `4 r = sqrt(2)a`
`therefore r=(a sqrt(2))/(4)=(400xxsqrt(2))/(4)=141.4p m`
For octahedral void, `2(r + r^(1))=a`
`therefore 2r^(1)=a - 2r`
`= 400-2xx145`
= 117.16 pm
Hence diameter of greatest share = 117.6 pm.
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