Subtract Radiated from Background Spectrum to Analyze Absorption Spectrum

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Discussion Overview

The discussion revolves around the process of analyzing an absorption spectrum obtained after radiation, specifically focusing on how to properly subtract a background spectrum from a sample spectrum using Excel. Participants explore the implications of their methods and the resulting data characteristics.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant initially suggests subtracting the background from the signal, while another argues that the background should be subtracted from the sample spectrum instead.
  • Concerns are raised about statistical fluctuations affecting the subtraction results, with a request for more context on the data.
  • It is noted that subtraction should ideally be performed in absorbance mode rather than transmittance mode.
  • Participants discuss the observed spread of data points after subtraction, with one participant noting that adding the spectra resulted in a visually more appealing plot.
  • Questions arise regarding the y-axis units of the spectra, with suggestions that high concentrations may lead to inaccurate quantitative analysis.
  • Participants inquire about the x-axis units and express confusion over the data representation, particularly regarding the maximum values of the spectra.
  • There is mention of the difficulty in obtaining a good subtraction spectrum due to the similarity of the spectra and the noise level being comparable to the signal difference.
  • One participant points out that the negative peaks observed in the subtraction spectrum correspond to reduced peaks in the irradiated spectrum.
  • Discrepancies in x-axis units are highlighted, with suggestions that inconsistent plotting methods complicate the analysis.
  • Participants emphasize the importance of consistent units and proper plotting techniques in Excel for accurate representation of the data.

Areas of Agreement / Disagreement

Participants express differing opinions on the correct method for subtracting the background from the sample spectrum, and there is no consensus on the best approach to achieve accurate results. The discussion remains unresolved regarding the optimal method and the implications of the observed data characteristics.

Contextual Notes

Participants note limitations related to the noise-to-signal ratio in the subtracted spectrum and the potential impact of concentration on the accuracy of the analysis. There are also unresolved questions about the proper representation of x-axis units and the implications of using different plotting methods.

Jhon81
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Hi everyone,
I have an absorption spectrum that I obtained from a sample after radiation and I need to use the background sample as a reference, how can I do that using excel?

what I did is subtract the radiated from the background spectrum then plot it, is that right?

Thanks.
 
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I would subtract the background from the signal not the opposite way, but anyway, that is just a sign.

If you don't run into a problem with statistical fluctuations that approach should be fine. More context would be useful, however.
 
To do a correct subtraction you should do it in absorbance mode, not transmittance; but perhaps you already knew that.
 
Thanks, mfb and mjc123 for your comments.
I subtracted the background from the signal but after plotting it seems that the points have spread! why is that?
subtraction.png

then I tried to add them and the shape of the plot was looking more nicer, could someone explain what happened to me?
adding.png
 

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Why did you add them?
Can you show your sample and background spectra? It looks as if they are very similar, so the subtracted signal is much weaker than either spectrum. That's why the noise-to-signal ratio is much greater on your subtracted spectrum (I assume that's what you mean by the points "spreading").
What are your y-axis units? If they are mAU, then your spectrum looks a bit too strong for accurate quantitative analysis. Can you repeat the experiment at a lower concentration?
 
mjc123 said:
Why did you add them?
Can you show your sample and background spectra? It looks as if they are very similar, so the subtracted signal is much weaker than either spectrum. That's why the noise-to-signal ratio is much greater on your subtracted spectrum (I assume that's what you mean by the points "spreading").
What are your y-axis units? If they are mAU, then your spectrum looks a bit too strong for accurate quantitative analysis. Can you repeat the experiment at a lower concentration?
I added them to see the shape of the spectrum.
This is the spectra of the background and the first irradiated sample, respectively:
background.png
1st irradiated.png

As for the unit, I am not sure as it was my first time using that spectrometer, I am going to check and let you know.
If you mean the concentration of irradiated sample it is very law ( I am using FXO with Fe+2 (0.3mM) & XO (0.05mM)) all of them dissolved in 50 mM of H2SO4.
 

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Last edited:
What are your x-axis units here? You have very similar spectra, but one with the maximum at ca. 650 (nm? that would make sense) and the other at ca. 1800 (what? is it simply data point number in excel? I doubt very much if you scanned down to 0 nm!)
If you ran your spectra in a 10 mm cuvette, try using a 1 mm cuvette.
But I think you'll find it difficult getting a good subtraction spectrum. The difference between the spectra is of the same order of magnitude as the noise - as you found!
 
mjc123 said:
What are your x-axis units here? You have very similar spectra, but one with the maximum at ca. 650 (nm? that would make sense) and the other at ca. 1800 (what? is it simply data point number in excel? I doubt very much if you scanned down to 0 nm!)
If you ran your spectra in a 10 mm cuvette, try using a 1 mm cuvette.
But I think you'll find it difficult getting a good subtraction spectrum. The difference between the spectra is of the same order of magnitude as the noise - as you found!

The x-axis unite is nm. I tried to compare the 4th irradiated with the background
background spectra
background.png

4th irradiated spectra
4th irradiated.png

subtraction of the above spectrums
subtraction2.png

Is it good that the spectra are in the minus y-axis or not, but I noticed that the points are not very spread which makes the noise less right?
 

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This is a bit better. You can see that the peak at 600 nm is reduced in the irradiated spectrum. This presumably corresponds to your negative peak at "1500" in the subtraction spectrum - get your x-axis units right. Yes, you should subtract the background from the irradiated spectrum, so your peak is negative.. Again, what do you mean by the points being "not very spread"?
 
  • #10
mjc123 said:
This is a bit better. You can see that the peak at 600 nm is reduced in the irradiated spectrum. This presumably corresponds to your negative peak at "1500" in the subtraction spectrum - get your x-axis units right. Yes, you should subtract the background from the irradiated spectrum, so your peak is negative.. Again, what do you mean by the points being "not very spread"?
what do you mean to get my x-axis unit right?
In this picture, you can see that the points are very spread ( the spectra is not smooth)
subtraction.png


but in the second one, it is smoother.

subtraction2.png
 

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  • #11
Jhon81 said:
what do you mean to get my x-axis unit right?
Your measured spectra are from 200 to 1100 nm. Why does the difference have x values of 0 to 3500?
Jhon81 said:
In this picture, you can see that the points are very spread ( the spectra is not smooth)
That tells you that there is some noise in the measurement. Not surprising.
Jhon81 said:
but in the second one, it is smoother.
The signal (the true difference) is stronger, so the signal to noise ratio is better.
 
  • #12
@Jhon81 In one case it appears you are graphing wavelength on the x-axis in nm and in the other case, you are apparently doing wavenumber=## \frac{1}{\lambda} ## (cm^-1). It is difficult to try to analyze the results unless this is consistent. You must at least state that you made the conversion. ## \\ ## Edit: But that doesn't appear to be the case either. It leaves us guessing...
 
  • #13
It can't be that because the spectra aren't reversed. It seems to be that sometimes you are plotting an x-y chart with wavelength as the x-value and absorbance as the y-value; other times you are just plotting a y chart, with the absorbance as the y value and the data point number (looks like you have about 3700 data points)appears as the x value. You want to get some more practice plotting charts in excel (or whatever you use).
 

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