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Problem: A compound with the formula Rb3C60 has been shown to demonstrate superconductivity below 30.0 K.Given that the C60 molecules have a face-centered cubic arrangement, which of the tetrahedral and octahedral sites are occupied by Rb atoms?

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We’re being asked to determine which of the tetrahedral hole and octahedral hole sites are occupied by Rb atoms if a compound has formula of  Rb3C60 and C60 have a face-centered cubic arrangement.


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

A compound with the formula Rb3C60 has been shown to demonstrate superconductivity below 30.0 K.

Given that the C60 molecules have a face-centered cubic arrangement, which of the tetrahedral and octahedral sites are occupied by Rb atoms?

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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 TBA's class at MEMPHIS.