# Quantum numbers/ spectroscopic notation

1. Apr 3, 2012

### physicsjock

Hey,

This question is from Eisberg's QM textbook,

I just want to make sure I understand this properly,

http://img641.imageshack.us/img641/5475/86854232.jpg [Broken]

Using S' as the total spin, J total angular momentum, and L total orbital momentum,

For the first case,

2S3/2

2S'+1 = 2. so S' = 1/2

L = 0, since S corresponds to L=0

J = 3/2, but J = S' + L = 1/2 ≠ 3/2

So this is impossible?

3D2

S'=1

L=2

J = 1,2,3 and in this case J = 3

So possible?

Finally,

5P3

L=1

S'=2

J=1,2,3 and in this case J = 3

Possible

These three numbers are the quantum numbers the question wants right? Not little l, s and like the possible magnetic quantum numbers?

Is this correct? I feel like its not..

Last edited by a moderator: May 5, 2017