Selection rules and quantum numbers

In summary, the conversation discusses the selection rules for the electric quantum numbers n, l, m, s, and j. The speaker is questioning whether they should state the selection rules for both m(s) and m(l), as they have seen different information online. They mention that their lecture notes state "delta(m)=0,plusminus1" for selection rules. The speaker concludes by providing the selection rules for each quantum number: delta(n)=0, plus or minus 1 for n, delta(l)=0, plus or minus 1 for l, delta(m)=0, plus or minus 1 for both m(s) and m(l), delta(s)=0, plus or minus 1/2 for s, and
  • #1
nicedazed
10
0

Homework Statement



From past paper:

State the selection rules for (electric) quantum numbers n,l,m,s and j.

Homework Equations





The Attempt at a Solution



My problem is that looking online, there seems to be an m(s) and m(l). Is the question assuming that I state the selectrion rules for both?

In my lecture notes though, in one of the summaries, it says "delta(m)=0,plusminus1" for selection rules.

The m(s) and m(l) thing has been bugging me a lot lately infact.
 
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  • #2
Selection rules for n:delta(n)=0, plus or minus 1 Selection rules for l:delta(l)=0, plus or minus 1 Selection rules for m(s):delta(m)=0, plus or minus 1 Selection rules for m(l):delta(m)=0, plus or minus 1 Selection rules for s:delta(s)=0, plus or minus 1/2 Selection rules for j:delta(j)=0, plus or minus 1
 

1. What are selection rules in quantum mechanics?

Selection rules are a set of rules that determine which transitions or interactions are allowed between different energy levels in an atom or molecule. They are based on conservation laws, such as conservation of energy, momentum, and angular momentum.

2. How do selection rules affect the emission and absorption of light?

Selection rules determine which transitions between energy levels are allowed, so they directly impact the wavelengths of light that are emitted or absorbed by atoms or molecules. Only transitions that follow the selection rules are allowed, resulting in specific spectral lines.

3. What are quantum numbers and how do they relate to selection rules?

Quantum numbers are values used to describe the energy states of electrons in an atom or molecule. They include the principal quantum number, orbital angular momentum quantum number, magnetic quantum number, and spin quantum number. Selection rules are based on these quantum numbers and their relationships to each other.

4. Why are selection rules important in spectroscopy?

Selection rules play a crucial role in interpreting the spectra of atoms and molecules. By following the selection rules, we can determine which transitions are allowed and which are forbidden, providing valuable information about the energy levels and electronic structure of the system.

5. Can selection rules be broken or violated?

In some cases, selection rules can be broken or violated, resulting in forbidden transitions that are usually weak or occur at longer wavelengths. This can happen due to external perturbations or deviations from ideal conditions and can provide insight into the underlying physical processes at play.

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