Suppose that in an alternate universe, the possible values of l are the integer values from 0 to n (instead of 0 to n - 1). Assuming no other differences between this universe and ours, how many orbitals would exist in each level in the alternate universe?

n = 5

We’re being asked to **determine the number of orbitals** for **n = 5 and l = 0-5 (n instead of n-1)**.

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**.

Introduction to Quantum Mechanics

Introduction to Quantum Mechanics

Introduction to Quantum Mechanics

Introduction to Quantum Mechanics

Introduction to Quantum Mechanics