Azimuthal quantum number determines the

Options

A. size
B. spin
C. orientation
D. angular momentum of orbitals

Explanation

To answer the question about what the azimuthal quantum number determines, we can break down the information step by step.

### Step-by-Step Solution:

1. **Understanding the Azimuthal Quantum Number (l)**:
- The azimuthal quantum number, denoted as \( l \), is one of the four quantum numbers used to describe the properties of electrons in an atom. It is associated with the angular momentum of an electron in an orbital.

2. **Angular Momentum**:
- The azimuthal quantum number \( l \) is directly related to the angular momentum of an electron in an orbital. The angular momentum \( L \) can be calculated using the formula:
\[ L = \sqrt{l(l + 1)} \frac{h}{2\pi} \]
where \( h \) is Planck's constant.

3. **Values of l and Orbital Shapes**:
- The value of \( l \) not only determines the angular momentum but also the shape of the orbital:
- If \( l = 0 \), the orbital is an **s orbital** (spherical shape).
- If \( l = 1 \), the orbital is a **p orbital** (dumbbell shape).
- If \( l = 2 \), the orbital is a **d orbital** (cloverleaf shape).
- If \( l = 3 \), the orbital is an **f orbital** (complex shape).

4. **Conclusion**:
- Therefore, the azimuthal quantum number \( l \) determines both the angular momentum of the electron in the orbital and the shape of the orbital.

### Final Answer:
The azimuthal quantum number determines the angular momentum of orbitals and the shape of the orbitals.

---