Valid Quantum Number Sets: Analyzing n, l, and ml Values for Set 1, 2, and 3

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SUMMARY

The discussion focuses on the validity of quantum number sets for n, l, and ml values. Set 1 (n=6, l=4, ml=-4) and Set 3 (n=4, l=1, ml=1) are confirmed as valid according to quantum number rules. Set 2 (n=1, l=0, ml=-1) is invalid because the magnetic quantum number ml must satisfy the condition -l ≤ ml ≤ l. Therefore, the correct answer is that Set 2 is the only invalid set.

PREREQUISITES
  • Understanding of quantum numbers: principal (n), azimuthal (l), and magnetic (ml).
  • Familiarity with the rules governing quantum number validity.
  • Basic knowledge of atomic structure and electron configuration.
  • Ability to interpret data from scientific tables, such as those found on Wikipedia.
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  • Study the rules for quantum numbers in detail, focusing on the relationships between n, l, and ml.
  • Learn about the significance of quantum numbers in atomic theory and electron configurations.
  • Explore examples of valid and invalid quantum number sets for various elements.
  • Review additional resources on quantum mechanics to deepen understanding of electron behavior in atoms.
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Students of physics, chemistry, and anyone studying quantum mechanics who seeks to understand the validity of quantum number sets in atomic theory.

lorka150
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I have a chart and I have to say if any of the sets are not valid:

------------------------
_____n__l__ml
Set 1: 6 4 -4
Set 2: 1 0 -1
Set 3: 4 1 1

-----------------------
and my choices are:
a) set 1 only
b) set 2 only
c) set 3 only
d) all sets are valid
e) no sets are valid

I chose b, because it set 2 is not valid, and I know that a IS valid (so that would be the only choice).

I am not positive if this is correct. but i think so? thank you.
 
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I went over them with the table, and it looks like Set 2 is the only one that is not valid.
 

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