Home
Class 12
CHEMISTRY
In a face centred cubic cell, an atom at...

In a face centred cubic cell, an atom at the face centre is shared by-

A

4 unit cells

B

3 unit cells

C

6 unit cells

D

None of the above

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding how many unit cells share an atom located at the face center of a face-centered cubic (FCC) cell, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Structure of FCC:** - In a face-centered cubic (FCC) lattice, atoms are located at each of the eight corners of the cube and at the center of each of the six faces of the cube. 2. **Identifying the Atom at the Face Center:** - We focus on one specific atom located at the center of one of the faces of the cube. This atom is referred to as the face-centered atom. 3. **Determining Shared Atoms:** - An atom at the face center is shared between two adjacent unit cells. This is because the face-centered atom is positioned at the boundary between two unit cells. 4. **Visualizing the Unit Cells:** - If we visualize two adjacent unit cells, we can see that the face-centered atom belongs to both of these cells. Each unit cell contributes to the overall structure of the solid. 5. **Conclusion:** - Therefore, the atom at the face center of a face-centered cubic cell is shared by **2 unit cells**. ### Final Answer: The atom at the face center of a face-centered cubic cell is shared by **2 unit cells**. ---
Promotional Banner

Similar Questions

Explore conceptually related problems

In a face centred cubic lattice unit cell is shared equally by how many unit cells?

In a face centred cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centres. Once of the A atom is missing from one corner in unit cell. The simplest formula of compound is

In a face centred cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centres. Once of the A atom is missing from one corner in unit cell. The simplest formula of compound is

In a face centered cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centers. One of the B atoms missing from one of the face in unit cell. The simplest formula of compounding is:

In a face centered cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centers. One of the B atoms missing from one of the face in unit cell. The simplest formula of compounding is:

In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centred positions. If one atom of B is missin from one of the face centred points,, the formula of the compound is :

In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centred positions. If two atom of B is missin from two of the face centred points,, the formula of the compound is :

A substance A_(x)B_(y) crystallizes in a face-centred cubic lattice in which atoms A occupy the centres of each face of the cube and B occupy each corner of the cube. Identify the correct composition of the substane

A substance A_(x)B_(y) crystallizes in a face-centred cubic lattice in which atoms A occupy the centres of each face of the cube. Identify the correct composition of the substance A_(x)B_(y) .

An example of a face centred cubic lattice is