What is the lowest value of n that allows g orbitals to exist?

Options

A. 6
B. 7
C. 4
D. 5

Explanation

To determine the lowest value of n that allows g orbitals to exist, we can analyze the relationship between the principal quantum number (n) and the types of orbitals that can exist at that energy level.

### Step-by-Step Solution:

1. **Understanding Quantum Numbers**: The principal quantum number (n) indicates the energy level of an electron in an atom. The value of n can be any positive integer (1, 2, 3, ...).

2. **Identifying Orbitals by n**:
- For **n = 1**: The only orbital present is the **s** orbital.
- For **n = 2**: The orbitals present are **s** and **p** orbitals.
- For **n = 3**: The orbitals present are **s**, **p**, and **d** orbitals.
- For **n = 4**: The orbitals present are **s**, **p**, **d**, and **f** orbitals.
- For **n = 5**: The orbitals present are **s**, **p**, **d**, **f**, and **g** orbitals.

3. **Conclusion**: The g orbitals start to appear when n is equal to 5. Therefore, the lowest value of n that allows g orbitals to exist is **5**.

### Final Answer:
The lowest value of n that allows g orbitals to exist is **5**.

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