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Problem: Aluminum metal crystallizes in a face-centered cubic unit cell.How many Aluminum atoms are in a unit cell?

FREE Expert Solution

We are asked to determine the number of aluminum atoms in a face-centered cubic unit cell


A unit cell is the smallest portion of a crystal lattice.

A cubic unit cell has 8 corners, 6 faces, and 1 center. An atom placed in each point occupies a certain fraction of the volume of the cube:

Corner1/8 of the atom is inside the cubic unit cell

Face½ of the atom is inside the cubic unit cell

Center  1 whole of the atom is inside the cubic unit cell

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Problem Details

Aluminum metal crystallizes in a face-centered cubic unit cell.

How many Aluminum atoms are in a 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.

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