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In a cubic structure, atoms of type A occupy the corners, while atoms of type B are located at the center of the cube. Find the total contribution of each atom and deduce the chemical formula of the compound.

1. AB
2. A2B
3. AB2
4. A3B

Correct answer: AB2

Solution

Atoms at the corners contribute 1/8 each, and there are 8 corners, so total contribution of A = 8 × 1/8 = 1. The body-centered atom contributes fully, so B = 1. Thus, the formula is AB2.

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