The number of tetrahedral voids present on each body diagonal ccp unit cell is

Options

A. 1
B. 2
C. 3
D. 4

Answer

To determine the number of tetrahedral voids present on each body diagonal of a CCP (close-packed cubic) unit cell, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Tetrahedral Voids**:
- Tetrahedral voids are the empty spaces in a crystal lattice where an atom can fit, having a coordination number of 4.

2. **Identify the Type of Lattice**:
- The CCP lattice is equivalent to the Face-Centered Cubic (FCC) lattice.

3. **Locate Tetrahedral Voids in FCC**:
- In a FCC unit cell, tetrahedral voids are present. Specifically, there are tetrahedral voids located along the body diagonals of the cube.

4. **Count Body Diagonals**:
- A cube has 4 body diagonals.

5. **Determine Tetrahedral Voids per Body Diagonal**:
- Each body diagonal contains 2 tetrahedral voids.

6. **Calculate Total Tetrahedral Voids**:
- Since there are 4 body diagonals and each contains 2 tetrahedral voids, the total number of tetrahedral voids in the FCC lattice is \(4 \times 2 = 8\).

7. **Answer the Question**:
- The question specifically asks for the number of tetrahedral voids present on each body diagonal. Since we established that there are 2 tetrahedral voids on each body diagonal, the answer is 2.

### Final Answer:
The number of tetrahedral voids present on each body diagonal of a CCP unit cell is **2**.

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