Quantum numbers of atoms in a given state (number^number)letter

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SUMMARY

The quantum state of the atom is represented as 42F, where the principal quantum number (n) is 4 and the azimuthal quantum number (l) is 3. The total spin quantum number (s) and total angular momentum quantum number (j) need to be determined. The relationship j = l + s is crucial, and parity considerations may influence the values of s and j. For accurate calculations, refer to the term symbol methodology outlined in quantum mechanics literature.

PREREQUISITES
  • Understanding of quantum numbers: principal (n), azimuthal (l), spin (s), and total angular momentum (j).
  • Familiarity with the concept of parity in quantum mechanics.
  • Knowledge of term symbols and their significance in atomic states.
  • Basic grasp of quantum mechanics principles and equations.
NEXT STEPS
  • Study the derivation and implications of quantum numbers in atomic physics.
  • Learn about the parity of quantum states and its effects on quantum number calculations.
  • Explore the term symbol notation and its application in identifying atomic states.
  • Review examples of quantum number calculations for various atomic states.
USEFUL FOR

Students of quantum mechanics, physicists specializing in atomic structure, and educators teaching atomic theory will benefit from this discussion.

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Quantum numbers of atoms in a given state "(number^number)letter"

Homework Statement



An atom is in the state 42F.

Write down the values of n,l,s and j.


Homework Equations







The Attempt at a Solution



n=4
l=3

I'm having problems with s and j. I know j=l+s, does one have to take parity into account?

I'm not even sure that the 2 I attempted are correct.

If someone could just tell me the method of working out the different quantum numbers when given a state such as above it would help me a lot.

Any help would be appreciated thanks!
 
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