Octahedral void at edge centre in ccp arrangement is equally distributed among

Options

A. 8 unit cells
B. 6 unit cells
C. 4 unit cells
D. 2 unit cells

Answer

To determine how many unit cells share the octahedral void located at the edge center in a cubic close packing (CCP) arrangement (also known as face-centered cubic, FCC), we can follow these steps:

### Step 1: Understand the Structure of FCC
In a face-centered cubic (FCC) arrangement, atoms are located at each of the corners of the cube and at the center of each face. This arrangement creates various types of voids, including tetrahedral and octahedral voids.

**Hint:** Recall the arrangement of atoms in the FCC structure and the types of voids formed.

### Step 2: Identify the Location of the Octahedral Void
The octahedral void at the edge center is located at the midpoint of the edge of the cube. In an FCC structure, each edge of the cube is shared by four adjacent unit cells.

**Hint:** Visualize the cube and identify where the edges are located in relation to the unit cells.

### Step 3: Determine the Sharing of the Octahedral Void
Since the octahedral void at the edge center is shared among the adjacent unit cells, we need to count how many unit cells contribute to this void. Each edge of the cube is shared by four unit cells.

**Hint:** Think about how many unit cells are adjacent to the edge where the void is located.

### Step 4: Conclusion
From the analysis, we find that the octahedral void at the edge center is equally distributed among **4 unit cells**.

### Final Answer
The octahedral void at the edge center in a CCP arrangement is equally distributed among **4 unit cells**.

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