Chemistry Practice Problems Introduction to Quantum Mechanics Practice Problems Solution: How many possible values for l and m l are there w...

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# Solution: How many possible values for l and m l are there when (a) n = 3?

###### Problem

How many possible values for l and m l are there when (a) n = 3?

###### Solution

To determine the possible values of ℓ and m when n = 3 , let’s first define the possible values of the first three quantum numbers:

principal quantum number (n)  energy level in orbitals and its value could be any positive integerstarting from 1

angular momentum quantum number (ℓ) → (l) has to be at least 1 less than n, range of values from 0 up to (n-1)

• magnetic quantum number (mℓ) → range of values from - to + . View Complete Written Solution

Introduction to Quantum Mechanics

Introduction to Quantum Mechanics

#### Q. How many possible values for l and m l  are there when (a) n = 5?

Solved • Fri Jul 15 2016 14:12:24 GMT-0400 (EDT)

Introduction to Quantum Mechanics

#### Q. (c) If m l is 2, what are the possible values for l?

Solved • Fri Jul 15 2016 14:10:51 GMT-0400 (EDT)

Introduction to Quantum Mechanics

#### Q. (b) For l = 2, what are the possible values of m l?

Solved • Fri Jul 15 2016 14:10:14 GMT-0400 (EDT)

Introduction to Quantum Mechanics

#### Q. (a) For n = 4, what are the possible values of l ?

Solved • Fri Jul 15 2016 14:09:28 GMT-0400 (EDT)