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Solution: What is the total number of orbitals having n = 4 and l = 2?2 5 16 4 6

Problem

What is the total number of orbitals having n = 4 and l = 2?

  1. 2
     
  2. 5
     
  3. 16
     
  4. 4
     
  5. 6
Solution

We’re being asked to determine the number of orbitals for n = 4 and l = 2.


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 (ml): deals with the orientation of the atomic orbital in 3D space. 

The possible values for ml is the range of l: –l to +l.


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