Atomic spectroscomy, jj coupling

In summary, the conversation discusses calculating the g value for the sd configuration in jj coupling. The relevant formula is provided and it is noted that for a d electron there are two possible j-values. The question asks how to calculate the g factor for the various possible total J values. Another question is also posed regarding finding the ratio of (e/m) for an electron using the g value.
  • #1
Irid
207
1
This is rather a straightforward question I believe, but somehow I'm not sure about the wording of it...

Homework Statement


Calculate g value (Landé g factor) for sd configuration in jj coupling.


Homework Equations


[itex]
g = 1 + \frac{J(J+1) - L(L+1) + S(S+1)}{2J(J+1)}
[/itex]


The Attempt at a Solution


For a d electron there are two j-values: 3/2 and 5/2. And then both can couple with the s electron to give 2/2, 4/2 and 4/2, 6/2 total J. So how can I calculate the g factor, there are many possibilities, correct?
 
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  • #2
And one more.
The normal Zeeman components of a 500nm spectral line are 0.0116nm apart in a magnetic field of 1.0T. Find the ratio (e/m) of an electron.

I think I should somehow find out what is g-value to be able to proceed, but how?
 

Related to Atomic spectroscomy, jj coupling

1. What is atomic spectroscopy?

Atomic spectroscopy is a scientific technique used to study the energy levels and characteristics of atoms by measuring the wavelengths and intensities of light that are emitted or absorbed by atoms. It is an important tool in many areas of science, including chemistry, physics, and astronomy.

2. What is JJ coupling in atomic spectroscopy?

JJ coupling, also known as Hund's case (b) coupling, is a type of coupling between the spin and orbital angular momentum of an electron in an atom. It occurs when the energy difference between two energy levels is small enough that the spin-orbit interaction cannot be neglected. It is an important consideration in the interpretation of atomic spectra.

3. How does JJ coupling affect atomic spectra?

JJ coupling affects atomic spectra by splitting the energy levels of an atom into multiple sub-levels. This splitting is known as fine structure and can be observed in the form of closely spaced spectral lines. The number and spacing of these lines can provide important information about the electronic structure of the atom.

4. What is the significance of JJ coupling in atomic spectroscopy?

JJ coupling is significant in atomic spectroscopy because it provides a more accurate representation of the electronic structure of an atom. By considering the interaction between the spin and orbital angular momentum of electrons, JJ coupling can explain the fine structure observed in atomic spectra. This information can be used to identify and characterize different elements and their isotopes.

5. How is JJ coupling calculated in atomic spectroscopy?

JJ coupling is typically calculated using a mathematical expression known as the jj-coupling scheme, which takes into account the spin and orbital quantum numbers of the electrons in an atom. This calculation can be complex and is often done using computer programs or specialized software. However, simplified equations and diagrams can also be used to understand the basics of JJ coupling in atomic spectroscopy.

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