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We’re being asked to find **which set of quantum numbers** is **possible** for a **3d electron**.

Recall that the ** quantum numbers** that define an electron are:

• *Principal Quantum Number* **(n)**: deals with the size and energy of the atomic orbital. The possible values for n are **1 to ∞**.

• *Angular Momentum Quantum Number ***(l)**: deals with the shape of the atomic orbital. The possible values for l are **0 to n – 1**.

• *Magnetic Quantum Number ***(m _{l})**: deals with the orientation of the atomic orbital in 3D space. The possible values for m

• *Spin Quantum Number ***(m _{s})**: deals with the spin of the electron. The possible values for m

Which of the following is a possible set of quantum numbers for a 3d electron?

a) n=4, l=3, m _{l}=2, m_{s}=-1/2

b) n=3, l=2, m _{l}=0, m_{s}=-1/2

c) n=3, l=1, m _{l}=1, m_{s}=+1/2

d) n=3, l=3, m _{l}=2, m_{s}=+1/2

e) n=3, l=0, m _{l}=0, m_{s}=+1/2

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Based on our data, we think this problem is relevant for Professor Fokwa's class at UCR.