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--- integral_breadth [2018/03/19 08:05] – rowlesmr3
+++ integral_breadth [2025/09/19 15:18] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
+====== 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>