< Provide the quantum numbers and related information for the following orbital, 5s. What is the number of degenerate orbitals based on the magnetic quantum number?

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Chapter1: Chemical Foundations
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**Question 18.c of 24**

Provide the quantum numbers and related information for the following orbital, 5s.

What is the number of degenerate orbitals based on the magnetic quantum number?
Transcribed Image Text:**Question 18.c of 24** Provide the quantum numbers and related information for the following orbital, 5s. What is the number of degenerate orbitals based on the magnetic quantum number?
**Quantum Numbers and Radial Nodes for the 3d Orbital**

For the 3d orbital, provide the quantum numbers and related information. Also, determine how many radial nodes are present.

- **Principal Quantum Number (n):** 3
- **Azimuthal Quantum Number (l):** 2 (for d-orbitals)
- **Magnetic Quantum Number (m\_l):** -2, -1, 0, +1, +2 
- **Spin Quantum Number (m\_s):** +1/2 or -1/2

**Radial Nodes Calculation:**
Number of radial nodes = n - l - 1 = 3 - 2 - 1 = 0

Therefore, the 3d orbital has 0 radial nodes.
Transcribed Image Text:**Quantum Numbers and Radial Nodes for the 3d Orbital** For the 3d orbital, provide the quantum numbers and related information. Also, determine how many radial nodes are present. - **Principal Quantum Number (n):** 3 - **Azimuthal Quantum Number (l):** 2 (for d-orbitals) - **Magnetic Quantum Number (m\_l):** -2, -1, 0, +1, +2 - **Spin Quantum Number (m\_s):** +1/2 or -1/2 **Radial Nodes Calculation:** Number of radial nodes = n - l - 1 = 3 - 2 - 1 = 0 Therefore, the 3d orbital has 0 radial nodes.
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