Quantum Numbers: Angular Momentum Quantum Number Video Lessons

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Problem: How many different orbitals can have the principal quantum number n = 3?(a) 9 (b) 4 (c) 6 (d) 5 (e) 18

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We’re being asked which of the following combinations could give the quantum numbers for the single valence electron of the copper in its ground state.

Recall that the quantum numbers are:

principal quantum number (n)  energy level in orbitals and its value could be any positive integer starting from 1 to infinity.
angular momentum quantum number (ℓ) → (l) has to be at least 1 less than n, range of values from 0 up to (n-1)

▪ Each ℓ value corresponds to a subshell:

 = 0 → s subshell
 = 1 → p subshell 
 = 2 → d subshell
 = 3 → f subshell

• magnetic quantum number (m) → range of values from - to + 

▪ The m values (for each ℓ) represent an orbital for the subshell:

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Problem Details

How many different orbitals can have the principal quantum number n = 3?

(a) 9 

(b) 4 

(c) 6 

(d) 5 

(e) 18

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