Chemistry Practice Problems Introduction to Quantum Mechanics Practice Problems Solution: Which set of quantum numbers is not allowed?a. n =...

Solution: Which set of quantum numbers is not allowed?a. n = 3, l = 0 , ml = 0b. n = 2, l = 1 , ml = -1c. n = 1, l = 0 , ml = 0d. n = 4, l = 1 , ml = -2

Problem

Which set of quantum numbers is not allowed?

a. = 3, = 0 , ml = 0
b. = 2, = 1 , ml = -1
c. = 1, = 0 , ml = 0
d. = 4, = 1 , ml = -2

Solution

We are asked which set of quantum numbers is not allowed


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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