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Problem: Calculate the number of atoms per unit cell in each type of cubic unit cell.Enter three integers separated by commas (e.g., 1, 2, 3) in the following order: primitive cubic, body-centered cubic, and face-centered cubic.

FREE Expert Solution

We have to calculate the number of atoms per unit cell in these cubic unit cells:

  • Primitive cubic
  • Body-centered cubic
  • Face-centered cubic

To calculate the number of atoms, we have to remember these rules:

  • The atoms in the body of a unit cell are fully possessed by that unit cell and counted as 1.
  • The atoms at the corners are not fully possessed. They are shared by 8 neighboring unit cells and only ⅛ of an atom is possessed by the unit cell.
  • The atoms at the faces are shared by 2 unit cells and therefore only ½ is possessed by the unit cell.
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Problem Details

Calculate the number of atoms per unit cell in each type of cubic unit cell.

Enter three integers separated by commas (e.g., 1, 2, 3) in the following order: 

primitive cubic, body-centered cubic, and face-centered cubic.

Frequently Asked Questions

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.