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Silver crystallises in fcc unit cell. If the radius of silver atom is 145pm, what is the length of each side of unit cell?



As silver crystallises in fcc, the length of one face diagonal equals to 4 times the radius of silver i.e.,
4r = 1.4*a            where r=radius of silver & a=side of unit cell
4*145 = 1.4*a
a = 4*145/1.4 = 414.28 pm               where square root of 2 ~ 1.4
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