We’re being asked to **determine how many orbitals in an atom** can have each of the** ****following designations**.

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_{l} is the range of l: **–l to +l**.

How many orbitals in an atom can have each of the following designations?

a. 3*s*

b. 3*d*

c. 7*p*

d. *n* = 3

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What scientific concept do you need to know in order to solve this problem?

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