Chemistry Practice Problems Introduction to Quantum Mechanics Practice Problems Solution: Which set of quantum numbers cannot occur together...

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Solution: Which set of quantum numbers cannot occur together to specify an orbital?a. n=3,l=-3,ml=0b. n=2,l=1,ml=-1c. n=3,l=1,ml=-1d. n=4,l=3,ml=3 

Problem

Which set of quantum numbers cannot occur together to specify an orbital?

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

Solution

We're asked to determine which set of quantum numbers cannot occur together to specify an orbital.


To solve this problem, let’s first define the values of the first three quantum numbers:

 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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