Calculating Spectral Weight of a Gaussian Curve

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Discussion Overview

The discussion centers around the concept of spectral weight, particularly in the context of a Gaussian curve. Participants explore how to calculate spectral weight from a measured spectrum, with a focus on theoretical understanding rather than specific experimental data.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants seek clarification on what spectral weight is and how it can be derived from a spectrum.
  • One participant suggests that spectral weight likely refers to the relative intensity of a spectral band compared to the total intensity of the spectrum.
  • Another participant asserts that the spectral weight corresponds to the area under the spectral curve.
  • A participant requests more context regarding the type of spectrum being analyzed to provide a more accurate response.
  • A later reply indicates that the participant is studying superconductivity and measuring Raman spectra, using a Gaussian curve for theoretical understanding of spectral weight.
  • The same participant mentions that while a detailed spectrum is not necessary, they can provide an example if needed.

Areas of Agreement / Disagreement

Participants express varying degrees of understanding regarding spectral weight, with some agreeing on its definition as the area under the curve, while others highlight the need for more context to provide accurate insights. The discussion remains unresolved with multiple perspectives on how to approach the topic.

Contextual Notes

Participants note that the understanding of spectral weight may depend on the specific type of spectrum being analyzed, and there is an acknowledgment of the need for clearer definitions and context.

vatlychatran
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Can you tell me what spectral weight is? If I have a spectrum that I measure, how can I get spectral weight? For simplicity, assume that the spectrum is a Gaussian curve. Thank you so much!
 
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vatlychatran said:
Can you tell me what spectral weight is? If I have a spectrum that I measure, how can I get spectral weight? For simplicity, assume that the spectrum is a Gaussian curve. Thank you so much!

It's a little hard to tell without more context, but it PROBABLY refers to the relative intensity of a band, relative to the summed total intensity of the spectrum.
 
SpectraCat said:
It's a little hard to tell without more context, but it PROBABLY refers to the relative intensity of a band, relative to the summed total intensity of the spectrum.

Now I understand that spectral weight of a spectrum is area under the spectral curve.
 
How about telling us what type of spectrum are you looking at?

Please present as detailed and complete of a scenario as possible. If not, we'll be spending time just trying to figure out what you are asking, such as right now.

Zz.
 
ZapperZ said:
How about telling us what type of spectrum are you looking at?

Please present as detailed and complete of a scenario as possible. If not, we'll be spending time just trying to figure out what you are asking, such as right now.

Zz.

I'm studying in superconductivity and measure Raman spectra. In fact, a detailed spectrum is not so necessary therefore as above I take a simple theoretical curve (Gaussian) to understand what spectral weight is. From papers I realize that spectral weight is area under the curve (area between curve and x axis). I can give you a spectrum but that is really not necessary. You can draw an arbitrary curve in xOy as you like and that is a spectrum.

Uhmmm. I should show you an example.
 

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