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What is the void space per unit cell for metallic silver crystallizing in the FCC system, the edge lSolid State Chemistry Question

Question

What is the void space per unit cell for metallic silver crystallizing in the FCC system, the edge length of the unit cell being 4 Å?

Answer: D

💡 Solution & Explanation

Volume of unit cell = $a^3 = 4^3 = 64 \text{ \AA}^3$. In FCC, packing fraction is 0.74, so void space fraction is $1 - 0.74 = 0.26$. Void space volume = $0.26 \times 64 = 16.64 \text{ \AA}^3$. Therefore, correct answer is D.

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