Which of the following is a possible set of quantum numbers for a 3d electron?
a) n=4, l=3, m l=2, ms=-1/2
b) n=3, l=2, m l=0, ms=-1/2
c) n=3, l=1, m l=1, ms=+1/2
d) n=3, l=3, m l=2, ms=+1/2
e) n=3, l=0, m l=0, ms=+1/2
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 (ml): deals with the orientation of the atomic orbital in 3D space. The possible values for ml are the range of –l to +l.
• Spin Quantum Number (ms): deals with the spin of the electron. The possible values for ms are either –1/2 (spin down) or +1/2 (spin up).