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Problem: A substance containing three elements (A, B and C) forms a cubic unit cell with A atoms at a every corner, B atoms at every edge, and a C atom in the center of the cubic unit cell. Which of the following would be the formula unit for this substance?(a) ABC(b) AB2C(c) AB3C(d) A2B3C(e) A8B12C

FREE Expert Solution

We are asked to identify the formula unit for this substance. 

Depending on the location atom is located, it will have a corresponding fraction of that atom that is actually inside the cell.

  • Corner → 1/8 atom


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Problem Details

A substance containing three elements (A, B and C) forms a cubic unit cell with A atoms at a every corner, B atoms at every edge, and a C atom in the center of the cubic unit cell. Which of the following would be the formula unit for this substance?

(a) ABC

(b) AB2C

(c) AB3C

(d) A2B3C

(e) A8B12C

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What scientific concept do you need to know in order to solve this problem?

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