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Q.

A CCP of n spheres of radius r, n spheres of radius 0.414 r and 2n spheres of radius 0.225r are introduced in the octahedral and tetrahedral void respectively. Therefore, packing fraction of the lattice

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a

0.74

b

0.81

c

0.68

d

0.79

answer is B.

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Detailed Solution

PF=4×43πr3+4×43π×(0.414r)3+8×43π×(0.225r)3(22r)3 PF=π321+(0.414)3+2×(0.225)3     =π32(1+0.070958+0.022781) or P.F =0.80961.
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