How to find full width at half max for non-Gaussian peaks.

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In summary, the conversation discusses a signal with distinct peaks that need to be characterized by their max y value, x location, and width. The speaker considered using FWHM but the peaks are Gaussian curves and do not go to zero between peaks. They also resemble bumps on a 1/ln(x) curve. The speaker asks for suggestions on how to characterize the width of these peaks, particularly if there is no function to fit the background width. One suggestion is to calculate the curvature at the tip of the peak.
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czechman45
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I have a signal that has several distinct peaks. I need to characterize these peaks by their max y value, their x location, and their width. I thought FWHM would be a good measure. However, these peaks are just from a data logger. They are pretty Gaussian curves. Furthermore, the curve doesn't go to zero in between peaks. The peaks are more of like distinct bumps on a 1/ln(x) curve. Any idea on how characterize the width of these peaks?

Thanks
 
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  • #2
If you don't have a function that you can fit the background width (which would be better), and if the peaks all have qualitatively the same shape, then you could try calculating the curvature (second derivative) at the tip of the peak.
 

Related to How to find full width at half max for non-Gaussian peaks.

1. What is full width at half max (FWHM)?

FWHM is a measure of the width of a peak on a graph at half of its maximum height. It is commonly used in science, particularly in fields such as spectroscopy and chromatography, to quantify the width of a signal.

2. Why is it important to find FWHM for non-Gaussian peaks?

FWHM is important for non-Gaussian peaks because it allows for the accurate quantification of the peak width, which can provide valuable information about the underlying physical or chemical processes that produced the signal. Additionally, FWHM is often used as a measure of instrument resolution and can impact the accuracy and precision of data analysis.

3. How do you find FWHM for non-Gaussian peaks?

The most common method for finding FWHM for non-Gaussian peaks is by fitting a Gaussian curve to the peak and then calculating the width at half of the maximum height. However, there are also other methods such as using a Lorentzian curve or using a numerical algorithm to estimate the FWHM.

4. What types of peaks can have non-Gaussian shapes?

Non-Gaussian peaks can occur in a variety of situations, including when there is a complex mixture of compounds or when there are interactions between the analyte and the instrument or matrix. Non-Gaussian peaks may also be caused by experimental error or limitations in the detection system.

5. Are there any limitations to using FWHM for non-Gaussian peaks?

While FWHM is a commonly used measure for peak width, it does have some limitations when applied to non-Gaussian peaks. For example, FWHM assumes a symmetrical peak shape, which may not always be the case. Additionally, the choice of fitting function and method can also impact the accuracy of FWHM calculations for non-Gaussian peaks.

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