Gold crystallizes with a face-centered cubic unit cell with an edge length of $407.86 \mathrm{pm} .$ Calculate the atomic radius of gold in units of picometers.
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Step 1: Recall the formula for calculating the atomic radius in a face-centered cubic (FCC) unit cell, which is \(R = \frac{\sqrt{2}}{4}a\), where \(a\) is the edge length of the unit cell. Show more…
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Gold crystallizes in a face-centered cubic lattice. The edge of the unit cell has a length of $407.86 \mathrm{pm}$. The density of gold is $19.31 \mathrm{~g} / \mathrm{cm}^{3}$. Use these data and the atomic mass of gold to calculate the value of Avogadro's number.
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