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How many types of voids are generated if the spheres of second layer are placed in the depressions of a 2D hcp?
- a)12
- b)6
- c)2
- d)4
Correct answer is option 'C'. Can you explain this answer?
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How many types of voids are generated if the spheres of second layer a...
Two types of voids are generated if the spheres of second layer are placed in the depressions of a 2D hcp – octahedral and tetrahedral void.
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How many types of voids are generated if the spheres of second layer a...
Types of Voids in 2D hcp
In a 2D hcp (hexagonal close-packed) structure, the spheres of the second layer are placed in the depressions of the first layer. This results in the formation of voids or empty spaces between the spheres. There are two types of voids that can be generated in this structure:
1. Triangular Voids
The triangular voids are formed between three spheres of the first layer. These voids are equilateral triangles and are located above and below the second layer of spheres. The number of triangular voids is equal to the number of spheres in the first layer.
2. Hexagonal Voids
The hexagonal voids are formed between six spheres of the first layer. These voids are regular hexagons and are located above and below the second layer of spheres. The number of hexagonal voids is half of the number of spheres in the first layer.
Therefore, the total number of voids in a 2D hcp structure is 2, which are the triangular voids and hexagonal voids. Hence, the correct answer is option 'C', i.e., 2.
In a 2D hcp (hexagonal close-packed) structure, the spheres of the second layer are placed in the depressions of the first layer. This results in the formation of voids or empty spaces between the spheres. There are two types of voids that can be generated in this structure:
1. Triangular Voids
The triangular voids are formed between three spheres of the first layer. These voids are equilateral triangles and are located above and below the second layer of spheres. The number of triangular voids is equal to the number of spheres in the first layer.
2. Hexagonal Voids
The hexagonal voids are formed between six spheres of the first layer. These voids are regular hexagons and are located above and below the second layer of spheres. The number of hexagonal voids is half of the number of spheres in the first layer.
Therefore, the total number of voids in a 2D hcp structure is 2, which are the triangular voids and hexagonal voids. Hence, the correct answer is option 'C', i.e., 2.
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