File:Gauss and Lorentz lineshapes.svg

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Summary

Description
English: Comparison of Gaussian (red) and Lorentzian (blue) standardized line shapes.
Date
Source

Own work

LaTeX This work was created by free software; you can redistribute it and/or modify it under the terms of the LaTeX Project Public License, version 1.3c. See the License for more details.
Author LvdT88

Source Code

\documentclass[crop,tikz,convert=pdf2svg]{standalone}
\usetikzlibrary{backgrounds}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16}
\makeatletter
\begin{document}
\begin{tikzpicture}[scale=3,background rectangle/.style={fill=white}, show background rectangle]
	\begin{axis}[
		no markers,
		width=300,
		height=190,
		xmin = -4.1,	xmax = 4.1,
		ymin = -0.025,	ymax = 1.025,
		ytick = {0,0.25,0.5,0.75,1},
		yticklabels = {\(0\),\(\frac{1}{4}\),\(\frac{1}{2}\),\(\frac{3}{4}\),\(1\)},
		domain=-4.5:4.5,
		samples=512,
		xlabel=\(\frac{p - p_0}{w/2}\),
		ylabel={Intensity}
	]
	\addplot[color=red] {exp(-0.6931472*x^2)};
	\addplot[color=blue] {1/(1+x^2)};
	\addplot [color=black,dotted] coordinates {(0,-0.1) (0,1.1)};
	\addplot [color=black,dotted] coordinates {(1,-0.1) (1,1.1)};
	\addplot [color=black,dotted] coordinates {(-1,-0.1) (-1,1.1)};
	\addplot [color=black,dotted] coordinates {(-4.2,0.5) (4.2,0.5)};
	\legend{Gaussian, Lorentzian}
	\end{axis}
\end{tikzpicture}
\end{document}

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

Comparison of Gaussian (red) and Lorentzian (blue) standardized line shapes.

6 April 2020

image/svg+xml

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Date/TimeThumbnailDimensionsUserComment
current17:57, 6 April 2020Thumbnail for version as of 17:57, 6 April 20201,082 × 695 (63 KB)LvdT88Increased scale.
17:48, 6 April 2020Thumbnail for version as of 17:48, 6 April 2020368 × 239 (61 KB)LvdT88Uploaded own work with UploadWizard
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