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 ***(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

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

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