Raman: Why does only some light scatter inelastically?

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Discussion Overview

The discussion revolves around the phenomenon of Raman scattering, specifically addressing why only a subset of photons scatter inelastically during this process. Participants explore the probabilistic nature of scattering events, the role of energy states, and seek further understanding and resources on the topic.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant inquires about the reasons why only some photons scatter inelastically, expressing a desire for a predictive method regarding the number of photons that will scatter inelastically.
  • Another participant corrects the terminology from "protons" to "photons" and provides a link to Wikipedia, although they note a preference for verified sources.
  • A later reply argues that the information on Wikipedia is generally accurate and mentions that the scattering process is probabilistic, suggesting that the probability of scattering can be computed but may depend on the material involved.
  • One participant introduces the Boltzmann Distribution to describe the distribution of energy states, explaining that more electrons are in the ground state, leading to more Stokes-shifted photons, while fewer are in excited states, resulting in anti-Stokes scattering, which is weaker.

Areas of Agreement / Disagreement

Participants express varying views on the reliability of Wikipedia as a source. There is also a lack of consensus on the predictive methods for inelastic scattering and the complexities involved in calculating probabilities based on material properties.

Contextual Notes

The discussion includes assumptions about the probabilistic nature of quantum processes and the dependence on material characteristics, which are not fully resolved. The mathematical expressions presented are not accompanied by detailed explanations or derivations.

perels
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Hi,

I have been involved in a Raman Scattering project and have grasped the fundamentals of Raman Scattering. I'm no physics student, but rather a business student.

1. Can somebody explain to me why only a few protons scatter inelastically and not all of them?
2. Is there a method for defining how many protons will scatter inelastically, i.e. can it be predicted?
3. Any suggested reading material on this subject?

Hoping for some help on at least some of the questions :-)

Cheers
Per
 
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Hi,

Thanks for the link - I will look into this - usually I try to avoid wikipedia as the information on this is not verified.

Yes, I mean photons, not protons - thanks for the correction :)
 
perels said:
Hi,

Thanks for the link - I will look into this - usually I try to avoid wikipedia as the information on this is not verified.

Yes, I mean photons, not protons - thanks for the correction :)

Actually the information on wikipedia is very accurate. Studies show (think one was published in nature even) that wikipedia has about as few errors as Encyclopædia Britannica.

Also, on topic, the reason why not all photons scatter is easily answered, it's because this process is probabilistic, as most processes at that quantum level are. One can compute the probability for a scattering event to occur however, but depending on the material they scatter from, this may be a very involved calculation.
 
We can describe the distribution of these energy states with the Boltzmann Distribution with:

<br /> \frac{{{N}_{i}}}{N}=\frac{{{exp}({\frac{{{\epsilon }_{i}}}{{{k}_{B}}T}}})}{Z(T)}\<br />

Where the partition function Z(T) is defined as:

<br /> Z(T)=\sum{{{e}^{-\frac{{{\varepsilon }_{i}}}{{{k}_{B}}T}}}}<br />

This means that there are more electrons in the ground state, thus more Stokes-shifted photons. It also means that a smaller fraction of the molecules are not in the ground state, but in vibrational excited states. Scattered photons from these molecules have higher energy compared to the incident photons. This is called anti-Stokes scattering. This blue shifted scattering is always weaker, due to the Boltzmann distribution, than the Stokes-shifted scattering.
 

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