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Standard XII
Chemistry
Packing Fraction and Efficiency
Packing fract...
Question
Packing fraction in face-centered cubic unit cell is :
A
0.7406
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B
0.6802
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C
0.5236
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D
none of the above
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Solution
The correct option is
B
0.7406
Packing efficiency (P.E.)
=
n
×
4
3
π
r
3
V
×
100
For a FCC lattice,
n
=
4
Therefore, P.E.
=
4
×
4
3
×
(
a
2
√
2
3
)
a
3
=
π
3
√
2
×
100
=
74
%
Hence. in FCC,
74
%
of the total volume is occupied by atoms.
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