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integral_breadth [topas wiki]

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integral_breadth [2022/11/03 15:08] (current) – external edit 127.0.0.1
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 +====== Integral Breadth ======
 +
 +The integral breadth is an alternative definition of a peak width; it is the width of a rectangle with the same height as the peak.
 +
 +There are some macros below that give the IB of a peak given its parameters.
 +
 +See also [[peak_shapes]].
 +
 +Macro by: Matthew Rowles. 
 +
 +
 +<code topas>
 +'' when using an xo_Is phase with peak_type = pv
 +''calculate pseudo-Voigt integral breadth from pv_lor and pv_fwhm parameters
 +macro & Integral_Breadth_PV(& lor, & fwhm)
 +{
 + fwhm / (lor (2/Pi) + (1-lor) 2 Sqrt(Ln(2)/Pi))
 +}
 +
 +macro & Integral_Breadth_G(& fwhm)
 +{
 + fwhm / (2 Sqrt(Ln(2)/Pi))
 +}
 +
 +macro & Integral_Breadth_L(& fwhm)
 +{
 + fwhm / (2/Pi)
 +}
 +
 +macro & Integral_Breadth_PVII(& m, & fwhm)
 +{
 + (fwhm Sqrt(Pi) Gamma_Approx(m-0.5)) / (2 Sqrt(2^(1/m) - 1) Gamma_Approx(m))
 +}
 +</code>