The number of possible orientations of d orbitals in space is 

Options

A. 2
B. 3
C. 4
D. 5

Answer

To determine the number of possible orientations of d orbitals in space, we can follow these steps:

### Step-by-Step Solution

1. **Identify the Azimuthal Quantum Number (l)**:
- The d orbitals correspond to the azimuthal quantum number \( l = 2 \).

2. **Determine the Range of the Magnetic Quantum Number (m)**:
- The magnetic quantum number \( m \) can take values from \( -l \) to \( +l \). Therefore, for \( l = 2 \):
\[ m = -2, -1, 0, +1, +2 \]

3. **Count the Possible Values of m**:
- The possible values of \( m \) are:
- \( -2 \)
- \( -1 \)
- \( 0 \)
- \( +1 \)
- \( +2 \)
- This gives us a total of 5 values.

4. **Conclude the Number of Orientations**:
- Each value of \( m \) corresponds to a specific orientation of the d orbitals in space. Therefore, the number of possible orientations of d orbitals is 5.

### Final Answer
The number of possible orientations of d orbitals in space is **5**.

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