A) \[38\,%\]
B) \[74\,%\]
C) \[68\,%\]
D) \[52.4\,%\]
Correct Answer: D
Solution :
The packing fraction is the fraction of volume in a crystal structure that is occupied by atoms. \[\phi =\frac{4/3\,\pi {{r}^{3}}}{{{a}^{3}}}\,\,=\,\,\frac{\pi }{6}\,=\,\,0.524\] Packing fraction \[=\,\, 0.524 \times 100\] \[= \,52.4\,%\] The packing fraction for \[\operatorname{HCP}-0.74\] \[\operatorname{FCC} - 0.74\] \[\operatorname{BCC}-0.68\] Diamond cubic - 0.34
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