Chemistry Practice Problems Introduction to Quantum Mechanics Practice Problems Solution: Which statement about quantum numbers is  incorrec...

Solution: Which statement about quantum numbers is  incorrect?  Answer (e) if they are all correct or all incorrect.a. The principal quantum number cannot equal zero.b. When n = 3, the angular quantum number can be equal to 0, 1, or 2.c. For an angular quantum number equal to 1, the magnetic quantum number can be +1, 0, o-1.d. For any value of the angular quantum number (l), there are 2(2l+1) values of the magnetic quantum number.e. All the above statements are correct or all are incorrect.

Problem

Which statement about quantum numbers is  incorrect?  Answer (e) if they are all correct or all incorrect.

a. The principal quantum number cannot equal zero.

b. When n = 3, the angular quantum number can be equal to 0, 1, or 2.

c. For an angular quantum number equal to 1, the magnetic quantum number can be +1, 0, o-1.

d. For any value of the angular quantum number (l), there are 2(2l+1) values of the magnetic quantum number.

e. All the above statements are correct or all are incorrect.

Solution

We’re being asked to determine the incorrect statement among the choices


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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