Chemistry Practice Problems Introduction to Quantum Mechanics Practice Problems Solution: Which set of quantum numbers (principal, angular a...

Solution: Which set of quantum numbers (principal, angular and magnetic) are  not valid?Set (1) 4, 2, -3Set (2) 3, 2, -2Set (3) 2, 2, +1a. Sets (1) and (2)b. Sets (2) and (3)c. Sets (1) and (3)d. all three setse. only one or none of these sets.

Problem

Which set of quantum numbers (principal, angular and magnetic) are  not valid?

Set (1) 4, 2, -3

Set (2) 3, 2, -2

Set (3) 2, 2, +1

a. Sets (1) and (2)

b. Sets (2) and (3)

c. Sets (1) and (3)

d. all three sets

e. only one or none of these sets.


Solution

Establish the first 3 quantum numbers and determine which set of values are not valid

The first three 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) has to be at least 1 less than n,range of values from 0 up to (n-1)

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

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