Quantum physics- atomic states

brad sue
Messages
270
Reaction score
0

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
 
Physics news on Phys.org
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.
 

Thread 'Direction of the magnetic field of an oscillating charge'

Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...
View full post »

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Similar threads

Confusion In Writing Identical Particle Wavefunctions
Replies
12
Views
324
Probability of the outcomes of ##J^2## and ##J_{z}##?
Replies
4
Views
2K
Hydrogen Atom in an electric field along ##z##
Replies
0
Views
2K
Quantum Mechanics hydrogen atom eigenfunction problem
Replies
1
Views
2K
Definition of angular frequency in nuclear structure
Replies
8
Views
2K
B Are electrons in atoms always in eigenstates?
Replies
6
Views
2K
I Total spin from atomic spectroscopy term symbols, e.g. neon's excited states
Replies
0
Views
209
Why Are Orbital Angular Momentum Quantum Numbers Restricted in H2 Molecule?
Replies
1
Views
1K
I What causes an accelerated clock to record less events
Replies
8
Views
1K
B Frequency of an EM wave in Classical and Quantum Physics
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top