Question:
Right option for the number of tetrahedral and octahedral voids in hexagonal primitive unit cell are:
Right option for the number of tetrahedral and octahedral voids in hexagonal primitive unit cell are:
Updated On: Jun 23, 2024
- 8,4
- 6,12
- 2,1
- 12,6
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The Correct Option is D
Solution and Explanation
Number of tetrahedral voids $= 2N$
Number of octahedral voids $= N$
$N =$ effective atoms
for Hexagonal effective atoms $=6$
Tetrahedral voids $=2 \times 6=12$
Octahedral voids $=6$
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Concepts Used:
Unit Cells
The smallest portion of a crystal lattice which repeats in different directions to form the entire lattice is known as Unit cell.
The characteristics of a unit cell are:
- The dimensions are measured along the three edges, a, b and c. These edges can form different angles, they may be mutually perpendicular or may not.
- The angles held by the edges are α (between b and c) β (between a and c) and γ (between a and b).
Therefore, a unit cell is characterised by six parameters such as a, b, c and α, β, γ.
Types of Unit Cell:
Numerous unit cells together make a crystal lattice. Constituent particles like atoms, molecules are also present. Each lattice point is occupied by one such particle.
- Primitive Unit Cells: In a primitive unit cell constituent particles are present only on the corner positions of a unit cell.
- Centred Unit Cells: A centred unit cell contains one or more constituent particles which are present at positions besides the corners.
- Body-Centered Unit Cell: Such a unit cell contains one constituent particle (atom, molecule or ion) at its body-centre as well as its every corners.
- Face Centered Unit Cell: Such a unit cell contains one constituent particle present at the centre of each face, as well as its corners.
- End-Centred Unit Cells: In such a unit cell, one constituent particle is present at the centre of any two opposite faces, as well as its corners.