# Problem: 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=-1/2c)  n=3, l=1, m l=1, ms=+1/2d)  n=3, l=3, m l=2, ms=+1/2e)  n=3, l=0, m l=0, ms=+1/2

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###### FREE Expert Solution

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).

###### Problem Details

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