Right option for the number of tetrahedral and octahedral voids in hexagonal primitive unit cell are

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Question

Right option for the number of tetrahedral and octahedral voids in hexagonal primitive unit cell are :

Accepted Answer

Correct Answer: A — 12, 6Step-by-step Solution:In a hexagonal close-packed (HCP) unit cell, the effective number of atoms per unit cell is 6. Applying the standard relations for close-packed structures: Number of tetrahedral voids = 2N = 2 × 6 = 12. Number of octahedral voids = N = 6. Therefore, the correct answer is 12 tetrahedral and 6 octahedral voids.Why other options are incorrect: Option B (8, 4) corresponds to a different unit cell. Option C (6, 12) incorrectly reverses the ratio. Option D (2, 1) applies to a unit cell with only 1 atom, such as a simple cubic cell.Key Concept: In any close-packed structure with N atoms: Tetrahedral voids = 2N, Octahedral voids = N. Tetrahedral voids are smaller (radius ratio ~0.225) and octahedral voids are larger (radius ratio ~0.414).

Right option for the number of tetrahedral and octahedral voids in hexagonal primitive unit cell are :

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Right option for the number of tetrahedral and octahedral voids in hexagonal primitive unit cell are :

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