Problem: One of the various manganese oxides crystallizes with a cubic unit cell that contains manganese ions at the corners and in the center. Oxide ions are located at the center of each edge of the unit cell. What is the formula of the compound?

FREE Expert Solution

Recall: In a unit cell, the atom in each corner is shared by 8 other unit cells. This means a unit cell has 1/8 of a corner atom.

Likewise, the atom at the edge of a unit cell is shared by 4 other unit cells, meaning the unit cell has 1/4 of an edge atom.

Lastly, the atom at the center of a unit cell is shared by only 1 unit cell, meaning the unit cell as 1 of a center atom.

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Problem Details

One of the various manganese oxides crystallizes with a cubic unit cell that contains manganese ions at the corners and in the center. Oxide ions are located at the center of each edge of the unit cell. What is the formula of the compound?

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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.

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.