The magnetic quantum number of an atom is related to the

Options

A. Size of the orbital
B. Spin angular momentum
C. Orbital angular momentum
D. Orientation of the orbital in space

Answer

To solve the question regarding the relationship of the magnetic quantum number of an atom, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Quantum Numbers**:
- Quantum numbers describe the properties of atomic orbitals and the electrons in those orbitals. There are four types of quantum numbers: principal (n), azimuthal (l), magnetic (m_l), and spin (s).

2. **Identifying the Magnetic Quantum Number**:
- The magnetic quantum number (m_l) specifically relates to the orientation of the orbital in space. It can take on integer values ranging from -l to +l, where l is the azimuthal quantum number.

3. **Evaluating the Options**:
- **Option A: Size of the orbital**: This is determined by the principal quantum number (n), not the magnetic quantum number.
- **Option B: Spin angular momentum**: This is determined by the spin quantum number (s), not the magnetic quantum number.
- **Option C: Orbital angular momentum**: This is determined by the azimuthal quantum number (l), not the magnetic quantum number.
- **Option D: Orientation of the orbital in space**: This is the correct relationship, as the magnetic quantum number defines how the orbital is oriented in three-dimensional space.

4. **Conclusion**:
- Therefore, the magnetic quantum number of an atom is related to the orientation of the orbital in space. The correct answer is **Option D**.