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Packing Fraction and Efficiency

You are given...

Question

You are given solid and identical spheres, each of radius ‘r’ to be stacked in layers as shown:

Each higher layer is to be placed above the void generated in its lower layer to create ABABAB type stacking. What is the packing fraction of the crystal formed?

A

74%

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B

52%

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C

68%

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D

64%

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Solution

The correct option is A 74%
ABABAB type packing is hexagonal close packing. Packing efficiency of hcp is 74%.

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