Find all J values of electron configuration

Click For Summary
SUMMARY

The discussion focuses on determining the permitted J values for the electronic configuration 2p3/2. The key equation used is J = L + S, L + S - 1, ..., |L - S|, where L and S represent the orbital and spin angular momentum, respectively. The symbols in the configuration indicate that the principal quantum number n is 2, the orbital number l is p, the total angular momentum j is 3/2, and there are 2 electrons involved. The participants clarify that Clebsch-Gordan coefficients are not necessary for this calculation.

PREREQUISITES
  • Understanding of quantum mechanics and angular momentum
  • Familiarity with electronic configurations and spectroscopic notation
  • Knowledge of the Clebsch-Gordan coefficients and their application
  • Basic principles of atomic structure and electron behavior
NEXT STEPS
  • Study the derivation of the J values from the quantum numbers in electronic configurations
  • Learn about the significance of Clebsch-Gordan coefficients in quantum mechanics
  • Explore the relationship between total angular momentum and quantum states
  • Investigate more complex electronic configurations and their J value calculations
USEFUL FOR

This discussion is beneficial for students of quantum mechanics, physicists focusing on atomic structure, and educators teaching electronic configurations and angular momentum concepts.

vst98
Messages
49
Reaction score
0

Homework Statement


Find all permitted J values for electronic configuration 2p3/22

Homework Equations



Clebsch-Gordan coefficients maybe ?

The Attempt at a Solution



Maybe from this ?

J = L+S,L+S-1,...,|L-S|

Then I first have to find L and S, and just put them in above equation ?

Any Hints ?
 
Physics news on Phys.org
No need for C-G coefficients, just read what the spectroscopic symbol means: what do 2, p, 3/2, 2 stand for ?

Indeed J = L+S,L+S-1,...,|L-S| is useful.
 
2 stands for principal quantum number n, p is orbital number l, 3/2 stands for j and the 2 is for two electrons. But I'm not sure about all.

(I have a lot of work these days, so my responses are delayed)
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
Replies
0
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
7K
  • · Replies 21 ·
Replies
21
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
8K