# Problem: The maximum number of electrons in an atom that can have the following set of quantum numbers is:n = 4, m l = -3, m s = +1/2(a) 0 (b) 1 (c) 2 (d) 6 (e) 10

###### FREE Expert Solution

We’re being asked to find what is the maximum number of electrons given the quantum numbers, n = 4, m l = -3, m s = +1/2

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

The maximum number of electrons in an atom that can have the following set of quantum numbers is:

n = 4, m l = -3, m s = +1/2

(a) 0

(b) 1

(c) 2

(d) 6

(e) 10