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 + .


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