The maximum percentage of available volume that can be filled in a face centered cubic system by an atom is

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The maximum percentage of available volume that can be filled in a face centered cubic system by an atom is

ChemistrySolid StateNEET

Options:

A 74%
B 68%
C 34%
D 26%

Solution:

1828 Upvotes Verified Answer

The correct answer is: 74%

Packing Fraction for cubic close packing is

\frac{N_{atoms} \times V_{atom}}{V_{unitcell}} = \frac{6. \frac{4}{3} {πr}^{3}}{\frac{3 {(3)}^{\frac{1}{2}}}{2} {(2 r)}^{2} {(2 / 3)}^{\frac{1}{2}} .4 r} = 0.74 \Rightarrow 74 %

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