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The number of atoms per unit cell, coordination number, and atomic packing factor, for a FCC crystal are……………a.6, 12, and 0.74b.4, 12, and 0.74c.1, 6, and 0.52d.2, 8, and 0.68

Question

The number of atoms per unit cell, coordination number, and atomic packing factor, for a FCC crystal are……………a.6, 12, and 0.74b.4, 12, and 0.74c.1, 6, and 0.52d.2, 8, and 0.68

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Solution

The correct answer is b.4, 12, and 0.74.

Here's why:

  1. Number of atoms per unit cell in FCC (Face Centered Cubic) structure: In a FCC structure, there are atoms at each of the eight corners and one at the center of each of the six faces. Each corner atom is shared by eight adjacent unit cells and each face-centered atom is shared by two adjacent unit cells. Therefore, the number of atoms per unit cell is (81/8) + (61/2) = 4.

  2. Coordination number in FCC structure: The coordination number is the number of nearest neighbors an atom has. In

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