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An element crystallises in a body-centre...

An element crystallises in a body-centred cubic structure. The atomic radius of the element is 190pm. Calculate: (1) the distance between two nearest neighbours (2) the body diagonal and the edge length of the unit cell.

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(1) The distance between two nearest neighbours = 2r
`2xx190`pm = 380pm.
(2) The body diagonal = 4r = 4`xx`190pm = 760pm
Body diagonal = `sqrt3xx`edge length
`therefore" "`Edge length = `760/sqrt3`pm = 438.78pm
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