Chemistry Practice Problems Introduction to Quantum Mechanics Practice Problems Solution: How many orbitals in an atom can have each of the ...

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Solution: How many orbitals in an atom can have each of the following designations?a. 3sb. 3dc. 7pd. n = 3

Problem

How many orbitals in an atom can have each of the following designations?

a. 3s
b. 3d
c. 7p
d. n = 3

Solution

We’re being asked to determine how many orbitals in an atom can have each of the following designations


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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