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Problem: Platinum (Pt) forms a face centered cubic unit cell and has a 139 pm atomic radius. Calculate the density of platinum based on the atomic radius and unit cell.

FREE Expert Solution

We’re being asked to calculate the density of barium that crystallizes in a face-centered cubic unit cell.


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:




Recall that density has a formula of:


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Problem Details

Platinum (Pt) forms a face centered cubic unit cell and has a 139 pm atomic radius. Calculate the density of platinum based on the atomic radius and unit cell.

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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.