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if we have Body centered orthorhombicwith unit cell dimenisons (3,4,6)A , find: spacing between planes (210)?...

if we have Body centered orthorhombicwith unit cell dimenisons (3,4,6)A , find:
spacing between planes (210)?
Packing fractions?
reciprocal lattice vectors ?

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Answer #1

answer : for orthorombic bcc structure we have the packing fraction as

      Packing fraction = (2 x 4/3 R3 ) / a3 , but R = (3 / 4) a

substituting we get packing fraction = (8 x 3 3 a3 ) / ( 3 x 64 x a3 ) = 0.68

hence packing fraction for bcc = 0.68

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