// // {{ latex: theta.png ? 0x1000 }} // // {{ latex:tikz:axis2d_pseudorapidity.png ? 0x1000 }} // // Pseudorapidity. For more, please visit https://tikz.net/category/physics/particle-physics/. % Author: Izaak Neutelings (June 2017) % Updated: December 2022 \documentclass[border=3pt,tikz]{standalone} \tikzset{>=latex} % for LaTeX arrow head \begin{document} % SIMPLE FOR-LOOP \begin{tikzpicture}[scale=3] % setting \def\R{1.2} % axis labels \node[below=5pt,left=2pt] at (0,\R) {$y$}; \node[left=5pt,below=2pt] at (\R,0) {$z$}; % lines \foreach \t in {90,60,45,30,10,0}{ \draw[->,black!60!red,thick] (0,0) -- ({\R*cos(\t)},{\R*sin(\t)}) node[anchor=180+\t,black] {$\theta=\t$}; } \end{tikzpicture} % PSEUDORAPIDITY with manual for-loop over theta, eta \begin{tikzpicture}[scale=3] % setting \def\R{1.2} % radius/length of lines % axis labels \node[scale=1,below left=1] at (0,\R) {$y$}; % y axis \node[scale=1,below left=1] at (\R,0) {$z$}; % z axis % lines \foreach \t/\e in {90/0,60/0.55,45/0.88,30/1.32,10/2.43,0/+\infty}{ % loop over theta/eta \pgfkeys{/pgf/number format/precision=2} \draw[->,black!60!red,thick,line cap=round] % eta lines (0,0) -- (\t:\R) node[anchor=180+\t,black] {$\eta=\e$} node[black,pos=0.7,fill=white,scale=0.8,inner sep=1.5pt] {$\theta=\t^\circ$}; } %\draw[black!60!red,thick] (0,0.1*\R) |- (0.1*\R,0) ; % overlap in corner \end{tikzpicture} % PSEUDORAPIDITY with automatic calculation of eta \begin{tikzpicture}[scale=3] % setting \def\R{1.2} % radius/length of lines % axis labels \node[scale=1,below left=1] at (0,\R) {$y$}; % y axis \node[scale=1,below left=1] at (\R,0) {$z$}; % z axis % lines \pgfkeys{/pgf/number format/precision=2} % two decimals \foreach \t in {90,60,45,30,10,0}{ % loop over theta \ifnum \t = 0 \def\e{+\infty} % infinity symbol \else \pgfmathparse{-ln(tan(\t/2))} % pseudorapidity %\pgfmathroundto{\pgfmathresult} % round without traling zeroes \pgfmathroundtozerofill{\pgfmathresult} % round with trailing zeroes \pgfmathsetmacro\e{\t==90?0:\pgfmathresult} % no trailing zeroes for theta = 0 \fi \draw[->,black!60!red,thick,line cap=round] % eta lines (0,0) -- (\t:\R) node[anchor=180+\t,black] {$\eta=\e$} node[black,pos=0.7,fill=white,scale=0.8,inner sep=1.5pt] {$\theta=\t^\circ$}; } %\draw[black!60!red,thick] (0,0.1*\R) |- (0.1*\R,0) ; % overlap in corner \end{tikzpicture} \end{document}