Which of the following is not a possible set of quantum numbers: n=3, l=1, mi=-1, ms=-1/2; n=3, I=0, ms=-1/2; n=3, l=0, mi=-1, ms=-1/2; n=3, l=1, mi=0, ms=-1/2?
Understand the Problem
The question is asking to identify which provided set of quantum numbers does not conform to the rules of quantum mechanics. Specifically, it involves checking the validity of the quantum numbers including principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (mi), and spin quantum number (ms).
Answer
n=3, l=0, mi=-1, ms=-1/2
The final answer is n=3, l=0, mi=-1, ms=-1/2.
Answer for screen readers
The final answer is n=3, l=0, mi=-1, ms=-1/2.
More Information
A magnetic quantum number (ml) must range from -l to +l. When l=0, the only possible value for ml is 0. Therefore, any set with ml not equal to 0 when l is 0 is invalid.
Tips
Ensure that the magnetic quantum number (ml) falls within the range defined by the azimuthal quantum number (l). Common mistakes include incorrect ml values for given l values.
Sources
- Which of the following is not a valid set of quantum numbers? A) n ... - socratic.org
- Quantum Numbers for Atoms - Chemistry LibreTexts - chem.libretexts.org
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