Home
Class 11
CHEMISTRY
In face centred cubic close packed struc...

In face centred cubic close packed structure octahedral sites are present at

A

edge centres

B

face centres

C

body centre

D

A & C Both

Text Solution

AI Generated Solution

The correct Answer is:
To determine where the octahedral sites are present in a face-centered cubic (FCC) close-packed structure, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the FCC Structure**: - A face-centered cubic structure has atoms located at each of the corners of the cube and at the centers of each of the cube's faces. 2. **Identify the Types of Interstitial Sites**: - In a cubic structure, there are two main types of interstitial sites: octahedral and tetrahedral. We are specifically interested in the octahedral sites for this question. 3. **Locate the Octahedral Sites**: - **Edge Centers**: In an FCC structure, there is an octahedral site located at the center of each edge of the cube. Since there are 12 edges in a cube, there will be octahedral sites at each of these edges. - **Body Center**: There is also one octahedral site located at the body center of the cube. 4. **Calculate the Contribution of Octahedral Sites**: - Each edge contributes 1/4 of an octahedral site because each edge is shared by four adjacent cubes. - Therefore, for the 12 edges: \[ \text{Contribution from edges} = 12 \times \frac{1}{4} = 3 \] - The body center contributes 1 full octahedral site. 5. **Total Number of Octahedral Sites**: - Adding the contributions from the edges and the body center gives: \[ \text{Total octahedral sites} = 3 (\text{from edges}) + 1 (\text{from body center}) = 4 \] 6. **Final Answer**: - The octahedral sites in a face-centered cubic close-packed structure are present at the edge centers and the body center. ### Conclusion: The correct answer is that octahedral sites are present at the edge centers and the body center.

To determine where the octahedral sites are present in a face-centered cubic (FCC) close-packed structure, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the FCC Structure**: - A face-centered cubic structure has atoms located at each of the corners of the cube and at the centers of each of the cube's faces. 2. **Identify the Types of Interstitial Sites**: ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that in a cubic close packed structure eight tetrahedral voids are present per unit cell .

Show that in a cubic close packed structure, eight tetrahedral voids are present per unit cell.

Percentage of free space in cubic close packed struchure and in body centred structure are respectively.

Write the name of two important kinds of holes normally encountered in a closed packed structure. How many such holes are present per sphere in a close packed arrangement?

Explain why a hexagonal close-packed structure and a cubic close packed structure for a given element would be expected to have the same density ?

In a multi layered close-packed structure

How many voids per point are present in cubic close packed structures of spheres ?

Why a hexagonal close-packed structure and a cubic close-packed structure for a given element would be expected to have the same density?

In a hexagonal close packed (hcp) structure of spheres, the fraction of the volume occupied by the sphere is A. In a cubic close packed structure the fraction is B. The relation for A and B is:

In a crystalline solid, having formula AB_(2)O_(4) oxide ions are arranged in cubic close packed lattice while cations A are present in tetrahedral voids and cations B are present in octahedral voids. (a) What percentage of the tetrahedral voids is occupied by A? (b) What percentage of the octahedral voids is occupied by B ?