\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{MostAncientDream} \pdfinfo{ /Title (alvl-p1-particles-ch1-2.pdf) /Creator (Cheatography) /Author (MostAncientDream) /Subject (Alvl P1: Particles (ch1/2) Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{9E62CC} \definecolor{LightBackground}{HTML}{F8F5FB} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Alvl P1: Particles (ch1/2) Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{MostAncientDream} via \textcolor{DarkBackground}{\uline{cheatography.com/168994/cs/42368/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}MostAncientDream \\ \uline{cheatography.com/mostancientdream} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 13th February, 2024.\\ Updated 13th February, 2024.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{2} \begin{tabularx}{8.4cm}{x{1.08 cm} x{1.296 cm} x{1.728 cm} x{3.096 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{8.4cm}}{\bf\textcolor{white}{Particle Forces}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{force}} & {\bf{affects}} & {\bf{exchange particles}} & {\bf{range}} \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} \seqsplit{strong} \seqsplit{nuclear} & \seqsplit{hadrons} & \seqsplit{pion/gluon} & none- \textgreater{}4fm, attrac 0.5\textless{}x\textless{}4fm, repul \textless{}0.5fm \tn % Row Count 6 (+ 3) % Row 2 \SetRowColor{LightBackground} em & \seqsplit{charged} \seqsplit{particles} & photons & infinite \tn % Row Count 9 (+ 3) % Row 3 \SetRowColor{white} weak \seqsplit{nuclear} & all & W\textasciicircum{}+/-/\textasciicircum{} & 10\textasciicircum{}-18\textasciicircum{} \tn % Row Count 11 (+ 2) % Row 4 \SetRowColor{LightBackground} \seqsplit{gravity} & all & graviton & infinite \tn % Row Count 13 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}----} \SetRowColor{LightBackground} \mymulticolumn{4}{x{8.4cm}}{the strong nuclear force holds nucleons together in a nucleus. the repulsion at \textless{}0.5fm stops the nucleus imploding.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}----} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{specific charge}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{specific charge: \newline % Row Count 1 (+ 1) charge to mass ratio \newline % Row Count 2 (+ 1) for an atom, is the charge (typically proton number unless an ion then the charge eg 2+ only) over the overall mass (proton and neutron number)% Row Count 5 (+ 3) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{nuclear decay equations}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{unstable nuclei decay to become more stable emitting radiation. \newline % Row Count 2 (+ 2) these can ionise other atoms/molecules which can be dangerous \newline % Row Count 4 (+ 2) {\bf{Alpha decay (larger nuclei):}} \newline % Row Count 5 (+ 1) 4 on the top, 2 on the bottom \newline % Row Count 6 (+ 1) {\bf{Beta decay (smaller nuclei):}} \newline % Row Count 7 (+ 1) + - p\textgreater{}n \newline % Row Count 8 (+ 1) - - n\textgreater{}p \newline % Row Count 9 (+ 1) {\emph{*}}*make sure lepton numbers are balenced \newline % Row Count 10 (+ 1) eg. beta- decay has anti electron neutrino \newline % Row Count 11 (+ 1) {\bf{gamma radiation:}} \newline % Row Count 12 (+ 1) is a high energy EM wave that can be emitted but this isnt due to decay but due to nucleus being in an metastable state (excess energy) \newline % Row Count 15 (+ 3) in a decay equation you would write the product number at the top with a small m \newline % Row Count 17 (+ 2) in a separate equation you take the element with the m and write it out with the product being without the m and the gamma ray% Row Count 20 (+ 3) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{conservation}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{charge, energy and momentum, baryon/lepton number must all be conserved in any interaction. \newline % Row Count 2 (+ 2) {\bf{strangeness}} doesnt need to be conserved, only in {\emph{strong}} interaction \newline % Row Count 4 (+ 2) rules: \newline % Row Count 5 (+ 1) - particle decay \textgreater{} strangeness is not always conserved \newline % Row Count 7 (+ 2) - pair production \textgreater{} strangeness is always conserved \newline % Row Count 9 (+ 2) {\bf{strangeness:}} \newline % Row Count 10 (+ 1) - strange particles are produced by strong interaction \newline % Row Count 12 (+ 2) - to conserve strangeness they are always created in pairs \newline % Row Count 14 (+ 2) eg. p + p = us\textasciicircum{}-\textasciicircum{}s \newline % Row Count 15 (+ 1) - they decay via weak interaction but don't need to be created in pairs (don't have to be conserved) \newline % Row Count 18 (+ 3) proving conservation: (Relating to particle interactions) \newline % Row Count 20 (+ 2) B\textasciicircum{}+/-\textasciicircum{} -{}-\textgreater{} occurs in a neutron (decay) - B\textasciicircum{}+\textasciicircum{} = p\textgreater{}n \newline % Row Count 22 (+ 2) electron scatter -{}-\textgreater{} come close and repel due to charge \newline % Row Count 24 (+ 2) P-N bond -{}-\textgreater{} occurs in nuecleus due to strong force (also em however em is weaker than strong) \newline % Row Count 26 (+ 2) electron capture -{}-\textgreater{} electron captured by a proton, therefore exchange particle is always from the proton (W\textasciicircum{}+\textasciicircum{}) \newline % Row Count 29 (+ 3) E-P collision -{}-\textgreater{} electron collides with proton so exchange particle comes from the electron (w\textasciicircum{}-\textasciicircum{})% Row Count 31 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Annihilation and pair production}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{these are possible due to the fact that {\bf{mass can be converted ubti energy and vice versa}} \newline % Row Count 2 (+ 2) Annihilation: \newline % Row Count 3 (+ 1) particle and antiparticle collide- mass is converted to two photons \newline % Row Count 5 (+ 2) minimum energy/frequency: \newline % Row Count 6 (+ 1) 2mc\textasciicircum{}2\textasciicircum{} = 2hf \newline % Row Count 7 (+ 1) {\emph{if the particles have kinetic energy this is added to the photons energy}} \newline % Row Count 9 (+ 2) Pair production: \newline % Row Count 10 (+ 1) a photon of sufficient energy is converted into a particle and its antiparticle \newline % Row Count 12 (+ 2) minimum freq photon for this: \newline % Row Count 13 (+ 1) hf = 2mc\textasciicircum{}2\textasciicircum{} \newline % Row Count 14 (+ 1) if photon has more than minimum needed, it is converted into Ek% Row Count 16 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}