1.

Calculate the radius (in pm) of the largest sphere which fits properly at the centre of the edge of a body centred cubic unit cell. (Given edge length is 100 pm)

Answer»


Solution :for bcc
`rArr R = sqrt(3)/4 a`
`therefore` empty space at edge `a-2R =a -sqrt(3a)/2`
`therefore r_("SPHERE") =(a-sqrt(3)/2a)/2 = (2-sqrt(3))/4 XX a`
= diameter of sphere
=0.067 a, (GIVEN a=100 PM)
`=0.067 xx 100 = 6.7` pm


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