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Problem: Platinum (atomic radius = 1.38 Å) crystallizes in a cubic closely packed structure. Calculate the edge length of the face-centered cubic unit cell and the density of platinum.

FREE Expert Solution

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

Edge Length: If r = radius of the sphere, then the diagonal d = 4r, since it spans through 2 spheres. We can express the length of the cube l in terms r, using Pythagorean theorem.

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Problem Details

Platinum (atomic radius = 1.38 Å) crystallizes in a cubic closely packed structure. Calculate the edge length of the face-centered cubic unit cell and the density of platinum.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Unit Cell concept. You can view video lessons to learn Unit Cell. Or if you need more Unit Cell practice, you can also practice Unit Cell practice problems.

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Based on our data, we think this problem is relevant for Professor McGraw's class at SFSU.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry - OpenStax 2015th Edition. You can also practice Chemistry - OpenStax 2015th Edition practice problems.