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

### Step 1: Understand the Structure of CCP
CCP, also known as face-centered cubic (FCC), has atoms located at each corner of the cube and at the center of each face.

**Hint:** Remember that in a CCP structure, each unit cell has atoms at specific positions.

### Step 2: Identify the Body Diagonal
The body diagonal of a cube runs from one corner of the cube to the opposite corner. In a cube, there are four body diagonals.

**Hint:** Visualize the cube and identify the corners to locate the body diagonal.

### Step 3: Determine the Tetrahedral Voids
In a CCP structure, tetrahedral voids are formed when four atoms are arranged in a tetrahedral geometry. For a tetrahedral void, three atoms form the base of the tetrahedron, and one atom is positioned above the center of the base.

**Hint:** Recall that tetrahedral voids are created by the arrangement of four atoms.

### Step 4: Count the Tetrahedral Voids Along the Body Diagonal
In a CCP unit cell, there are two tetrahedral voids along each body diagonal. This is because for each tetrahedral arrangement, you can find one void at the center of the tetrahedron formed by the atoms at the ends of the body diagonal and one void at the center of the tetrahedron formed by the atoms at the adjacent face centers.

**Hint:** Think about how many tetrahedral arrangements can be formed with the atoms located at the corners and face centers along the diagonal.

### Step 5: Conclusion
Thus, the number of tetrahedral voids present on each body diagonal of a CCP unit cell is **2**.

**Final Answer:** 2 tetrahedral voids.