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Problem: Gold crystallizes in a face-centered cubic structure. What is the edge length of the unit cell if the atomic radius of gold is 144 pm?a) 204 pmb) 288 pmc) 333 pmd) 407 pm

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We’re being asked to determine the edge length of a gold unit cell knowing that it follows a face-centered cubic lattice and the atomic radius of gold is 144 pm.


Recall that the face-centered cubic lattice contains an atom in each of the face of the cube and an atom in each of the corners. It looks like this:


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Problem Details

Gold crystallizes in a face-centered cubic structure. What is the edge length of the unit cell if the atomic radius of gold is 144 pm?

a) 204 pm

b) 288 pm

c) 333 pm

d) 407 pm

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