Peak width of Gaussian fitting

The width refers to sqrt(2) times the standard deviation. So for your numbers s.d. is 0.000525.
FWHM can be calculated from the standard deviation. Approx. 2.354*s.d. So for your numbers = 0.00123525.

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yangzheng wrote:

... I am doing photoelectron spectroscopy. The peak width defines our resolution. Usually we use FWHM as peak "width".

Are you aware ...

The Gaussian peak in statistics is defined as ...

P(x) = \frac{1}{\sqrt{2\pi}\sigma}\ \exp\left[- \left(\frac{1}{2}\right)\left(\frac{x - \mu}{\sigma} \right)^2 \right]

... where P(x) is probability, \sigma is the standard deviation of the distribution, and \mu is the mean of the distribution.

The Gaussian peak in XPS/UPS is defined as ...

I(E) = h\ \exp\left(-4\ \frac{\ln(2)(E - p)^2}{w^2} \right)

... where I(E) is intensity, E is energy (BE or KE), h is peak height, p is peak position, and w is the width at half-maximum height.

The parameters of the two are defined as shown in this table.



(the LaTeX equations can be parsed from ... http://www.codecogs.com/latex/eqneditor.php)

--
J. J. Weimer
Chemistry / Chemical & Materials Engineering, UAHuntsville

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Thank you guys! Now I understand.

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For x-ray fluorescence, which is what we do, we take the width w_coef[3] and multiply by 2*sqrt(ln(2)) to get the FWHM of a peak.

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