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Packing Fraction and Efficiency

Match the fol...

Question

Match the following cubic structure with its packing fraction

A

68%

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B

74%

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C

52.4%

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D

74%

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Solution

Cubic lattice Radius(r) Packing fraction(%)

CCP $\frac{a}{a \sqrt{2}}$ 68%

Simple cubic a 52.4%

Bcc $\frac{\sqrt{3}}{4} a$ 68%

Hcp $\frac{a}{a \sqrt{2}}$ 74%

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