FWHM Calculator

Calculate the Full Width at Half Maximum (FWHM) of Gaussian peaks instantly with this online tool.

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About This Tool

The FWHM Calculator is a specialized online tool designed to compute the Full Width at Half Maximum of Gaussian distribution peaks. FWHM is a crucial parameter in spectroscopy, signal processing, and data analysis, representing the width of a peak at half of its maximum amplitude. This tool takes peak parameters including x-position, amplitude, and standard deviation (σ) as inputs and calculates FWHM using the formula: FWHM = 2.35482 × σ. The interface provides real-time validation, detailed error messages, and beautifully formatted results with parameter summaries.

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How to Use

Enter the peak's x-position (center of the peak) in the first input field.
Enter the peak's amplitude (maximum height) in the second input field.
Enter the standard deviation (σ, spread of the peak) in the third input field.
Click the 'Calculate FWHM' button to compute the Full Width at Half Maximum.
View the results displayed below with the calculated FWHM value and input summary.

Frequently Asked Questions

Find Quick Answers

What is FWHM and why is it important?

FWHM (Full Width at Half Maximum) is a measure of the width of a peak at half its maximum height. It's widely used in spectroscopy, chromatography, and signal processing to characterize peak sharpness and resolution.

What formula does this calculator use?

The calculator uses the standard Gaussian distribution formula: FWHM = 2.35482 × σ, where σ is the standard deviation of the peak. This assumes a perfect Gaussian shape.

What units should I use for the inputs?

Use consistent units for all parameters. The x-position and standard deviation should be in the same units (e.g., nanometers, seconds, or arbitrary units), while amplitude can be in intensity units. The calculated FWHM will be in the same units as the standard deviation.

Can I use this for non-Gaussian peaks?

This calculator is specifically designed for Gaussian peaks. For non-Gaussian peaks (Lorentzian, Voigt, etc.), the FWHM calculation differs and this tool may not provide accurate results.

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