For the `p_(z)` orbital, conventionally m is

Options

A. `-2`
B. `+2`
C. 0
D. Any of these

Answer

To determine the magnetic quantum number (m_l) for the p_z orbital, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Quantum Numbers**: The quantum numbers describe the properties of atomic orbitals. The principal quantum number (n), azimuthal quantum number (l), and magnetic quantum number (m_l) are the most relevant for this question.

2. **Identify the Azimuthal Quantum Number (l)**: For p orbitals, the azimuthal quantum number (l) is equal to 1. This is because:
- s orbitals have l = 0
- p orbitals have l = 1
- d orbitals have l = 2
- f orbitals have l = 3

3. **Calculate the Possible Values of m_l**: The magnetic quantum number (m_l) can take values from -l to +l, including zero. The formula for the possible values of m_l is:
\[ m_l = -l, -l + 1, ..., 0, ..., l - 1, l \]
For l = 1 (p orbitals), the possible values of m_l are:
- -1
- 0
- +1

4. **Identify the Specific Value for p_z**: The p orbitals are typically designated as:
- p_x (m_l = -1)
- p_y (m_l = +1)
- p_z (m_l = 0)
Therefore, for the p_z orbital, the conventional value of m_l is 0.

5. **Conclusion**: Thus, for the p_z orbital, conventionally m_l is 0.

### Final Answer:
For the p_z orbital, conventionally m_l is **0**.

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