Quantum physics- atomic states

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SUMMARY

The discussion focuses on identifying the full designations for singlet, doublet, triplet, and quartet atomic states in quantum physics, specifically for S, P, and D states. Participants clarify the spectral notation, emphasizing that the multiplicity is determined by the formula 2S+1, where S represents the total spin quantum number. The maximum number of valence electrons is noted as 8, with each electron capable of spinning up or down. The conversation highlights the need to enumerate combinations of electron spins to derive the correct designations.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly angular momentum and spin.
  • Familiarity with atomic state designations and spectral notation.
  • Knowledge of the maximum number of valence electrons and their spin states.
  • Basic grasp of the terms singlet, doublet, triplet, and quartet in quantum physics.
NEXT STEPS
  • Study the derivation of atomic state designations using the formula N^{2S+1}L_J.
  • Learn about the implications of electron spin and its role in determining atomic states.
  • Research the significance of valence electrons in quantum chemistry.
  • Explore examples of spectral notation for various atomic configurations.
USEFUL FOR

Students of quantum physics, educators teaching atomic structure, and researchers interested in atomic state designations and their applications in spectroscopy.

brad sue
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Homework Statement



Give the full designation (e.g. 3P0) for all possible singlet, doublet, triplet and quartet S, P and D atomic states.

The Attempt at a Solution


I don't understand this question at all!

Up to which values does the angular momentum (supscript) and multiplicity (subcript) go?
please can you provide me with some explanation and a little example?

I continue reading and update if i have some clarifications.
Thank you
 
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Sorry, I'm a bit unsure of what part is holding you back. Are you getting tripped up on the spectral notation?
 
Mindscrape said:
Sorry, I'm a bit unsure of what part is holding you back. Are you getting tripped up on the spectral notation?

I think I get the notation. The main issue is what values for example the multiplicity can take? The maximum number of valence electrons is 8 i believe. and each electron can spin up or down. do i need to enumerate all combinations electron spin! this is a lot and I am not sure this the the correct anwer...

Can you clarify what i need to do?
 
I can't say for sure, but my impression as an outsider (not being in your class and knowing what you are studying) is that it just wants the spectral notation for all the singlets, doublets, triplets, and quartets.

A term with S=0 is a singlet term; S=1/2 is a doublet term; S=1 is a triplet term; S=3/2 is a quartet term; etc.
N^{2S+1}L_J

(I guess you are omitting the N here.)

Dunno, I could be wrong, but this is my interpretation. The multiplicity is given by 2S+1, but I don't know if you have to list off all of them. Maybe you do. Shouldn't take too long as it's relatively straightforward.
 

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