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In a diamond-like structure, the cubic unit cell contains eight atoms at the corners, six atoms on the faces, and four atoms within the tetrahedral voids. What is the total number of atoms per unit cell?
- 8 corner atoms contribute 1/8 each, 6 face atoms contribute 1/2 each, and 4 atoms are fully inside, totaling 8 atoms.
- Only the corner atoms are considered.
- Only the face-centered atoms are counted.
- Only the atoms inside the unit cell are included.
Correct answer: 8 corner atoms contribute 1/8 each, 6 face atoms contribute 1/2 each, and 4 atoms are fully inside, totaling 8 atoms.
Solution
In a diamond cubic unit cell, the contribution of corner atoms is 8 × 1/8 = 1, face-centered atoms is 6 × 1/2 = 3, and the four atoms inside the structure contribute fully. Adding these gives a total of 8 atoms per unit cell.
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