An octahedral void is surrounded by how many spheres ?
An octahedral void is surrounded by how many spheres ?
A
6
B
4
C
8
D
12
Text Solution
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To solve the question "An octahedral void is surrounded by how many spheres?", we can follow these steps:
### Step 1: Understand the Structure of an Octahedral Void
An octahedral void is a type of interstitial site in a crystal lattice where a void (or empty space) is formed by the arrangement of spheres (atoms or ions) around it.
### Step 2: Visualize the Arrangement
In a crystal lattice, an octahedral void is formed when spheres are arranged in two layers. The centers of these spheres can be visualized as forming two equilateral triangles, one above the void and one below it.
### Step 3: Count the Spheres Surrounding the Void
- In the upper layer, there are 3 spheres whose centers form an equilateral triangle.
- In the lower layer, there are also 3 spheres whose centers form another equilateral triangle.
### Step 4: Total Count of Surrounding Spheres
By adding the spheres from both layers, we find:
- 3 spheres from the upper layer + 3 spheres from the lower layer = 6 spheres total.
### Conclusion
Thus, an octahedral void is surrounded by a total of **6 spheres**.
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Assertion:A tetrahedral void is surrounded by four spheres and an octahedral void is surrounded by six spheres. Reason:The number of tetrahedral voids is double the number of close packed spheres and number of octahedral voids is equal to number of close packed spheres.
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In HCP or CCP constituent particles occupy 74% of the available space. The remaining space (26%) in between the spheres remains unoccupied and is called interstitial voids or holes. Considering the close packing arrangement, each sphere in the second layer rests on the hollow space of the first layer, touching each other. The void created is called tetrahedral void. If R is the radius of the spheres in the close packed arrangement then, R (radius of tetrahedral void) = 0.225 R In a close packing arrangement, the interstitial void formed by the combination of two triangular voids of the first and second layer is called octahedral coid. Thus, double triangular void is surrounded by six spheres. The centre of these spheres on joining, forms octahedron. If R is the radius of the sphere. in a close packed arrangement then, R (radius of octahedral void = 0.414 R). Mark the false statement :
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In HCP or CCP constituent particles occupy 74% of the available space. The remaining space (26%) in between the spheres remains unoccupied and is called interstitial voids or holes. Considering the close packing arrangement, each sphere in the second layer rests on the hollow space of the first layer, touching each other. The void created is called tetrahedral void. If R is the radius of the spheres in the close packed arrangement then, R (radius of tetrahedral void) = 0.225 R In a close packing arrangement, the interstitial void formed by the combination of two triangular voids of the first and second layer is called octahedral coid. Thus, double triangular void is surrounded by six spheres. The centre of these spheres on joining, forms octahedron. If R is the radius of the sphere. in a close packed arrangement then, R (radius of octahedral void = 0.414 R). In Schottky defect
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