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Consider a crystalline solid packing in a Simple Cubic unit cell. What is the integer part of its peSolid State Chemistry Question

Question

Consider a crystalline solid packing in a Simple Cubic unit cell. What is the integer part of its percentage packing efficiency?

Answer: 52

💡 Solution & Explanation

In a Simple Cubic cell, $a = 2r$ and $Z = 1$. The packing efficiency is $\frac{1 \times \frac{4}{3}\pi r^3}{(2r)^3} \times 100 = \frac{\pi}{6} \times 100 \approx 52.36\%$. The integer part is $52$.

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