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CuppaMuons
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Homework Statement
So I've done an experiment by scanning over a range of angle and measuring the intensity of X-Rays. There are peaks where I have X-Ray diffraction occurring and in order to do analysis I need to identify the values of angle and an error (as in the plus/minus) on this value.
The Attempt at a Solution
The Peaks are very much like a gaussian so I used the curve fitting tool on MATLAB to fit a gaussian to the data and use the value of b (position of the center of the peak) as my value for angle.
An example fit can be seen here: http://imgur.com/0rm2TeB
Now my problem is what to choose for an error?
The fit returns something called 95% confidence bounds so I tried taking the difference between them and the actual value as the error but it seems a little small for some of the fits which are somewhat poorly shaped.
My only other thoughts would be the Standard Deviation or the FWHM but I'm really not sure what I should use, nor how to justify what I choose.
Any Ideas?