\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{Katherine Doucet (katherinedoucet)} \pdfinfo{ /Title (chemistry-final-equations.pdf) /Creator (Cheatography) /Author (Katherine Doucet (katherinedoucet)) /Subject (Chemistry Final Equations 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}{2DD6CB} \definecolor{LightBackground}{HTML}{F1FCFB} \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{Chemistry Final Equations Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Katherine Doucet (katherinedoucet)} via \textcolor{DarkBackground}{\uline{cheatography.com/171479/cs/36062/}}} \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}Katherine Doucet (katherinedoucet) \\ \uline{cheatography.com/katherinedoucet} \\ \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 December, 2022.\\ Updated 13th December, 2022.\\ 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*}{4} \begin{tabularx}{3.833cm}{p{0.65825 cm} p{0.65825 cm} p{0.65825 cm} p{0.65825 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{3.833cm}}{\bf\textcolor{white}{Exam 1}} \tn % Row 0 \SetRowColor{LightBackground} Kelvin to Celsius & K=C +273 & & \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \seqsplit{Fahrenheit} to Celsius & F=9F/5C (C) + 32F & & \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} density & d=m/V & SI: kg/m\textasciicircum{}3\textasciicircum{}; g/mL or g/cm\textasciicircum{}3\textasciicircum{} commonly used & \tn % Row Count 10 (+ 5) % Row 3 \SetRowColor{white} moles to atoms and molecules & 1 mole = 6.022 x 10\textasciicircum{}23\textasciicircum{} atoms or molecules & & \tn % Row Count 15 (+ 5) % Row 4 \SetRowColor{LightBackground} moles to grams & 1 mole = atomic mass (g) & 1 mole = formula mass (g) & \tn % Row Count 18 (+ 3) % Row 5 \SetRowColor{white} grams to atoms or molecules & atomic mass (g) = 6.022 x 10\textasciicircum{}23\textasciicircum{} atoms & formula mass (g) = 6.022 x 10\textasciicircum{}23\textasciicircum{} molecules & \tn % Row Count 23 (+ 5) % Row 6 \SetRowColor{LightBackground} \seqsplit{avagadro's} number & 6.022 x 10\textasciicircum{}23\textasciicircum{} moles & & \tn % Row Count 25 (+ 2) % Row 7 \SetRowColor{white} kinetic energy of a moving object & Ek = 1/2 mu\textasciicircum{}2\textasciicircum{} & u: velocity & \tn % Row Count 29 (+ 4) % Row 8 \SetRowColor{LightBackground} \seqsplit{electrostatic} energy & Eel = Q1Q2/d & Q1 and Q2: product of charges; d: distance between charges & \tn % Row Count 35 (+ 6) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{p{0.65825 cm} p{0.65825 cm} p{0.65825 cm} p{0.65825 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{3.833cm}}{\bf\textcolor{white}{Exam 1 (cont)}} \tn % Row 9 \SetRowColor{LightBackground} joule & 1 J = 1kg x m\textasciicircum{}2\textasciicircum{}/s\textasciicircum{}2\textasciicircum{} & 1 J = 1 N x m & \tn % Row Count 3 (+ 3) % Row 10 \SetRowColor{white} speed, \seqsplit{wavelength}, and frequency & c = \seqsplit{(wavelength)(v)} & c: speed of light - 3.00 x 10\textasciicircum{}8\textasciicircum{} m/s; \seqsplit{wavelength:} in meters; frequency (v): in s\textasciicircum{}-1\textasciicircum{} or Hz & \tn % Row Count 12 (+ 9) % Row 11 \SetRowColor{LightBackground} energy of a photon & E = hv & h: 6.63 x 10\textasciicircum{}-34\textasciicircum{} J x s; v: frequency in s\textasciicircum{}-1\textasciicircum{} or Hz & \tn % Row Count 18 (+ 6) % Row 12 \SetRowColor{white} energy (hv) of a photon used to eject electrons from a metal surface via the \seqsplit{photoelectric} effect is equal to the sum of kinetic energy of the ejected electron (Ek) and the work function (W) & hv = Ek + W & Ek = hv - W & \tn % Row Count 37 (+ 19) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{p{0.65825 cm} p{0.65825 cm} p{0.65825 cm} p{0.65825 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{3.833cm}}{\bf\textcolor{white}{Exam 1 (cont)}} \tn % Row 13 \SetRowColor{LightBackground} \seqsplit{wavelength} of \seqsplit{emitted/absorbed} light when an electron \seqsplit{transitions} from one quantum state to another & \seqsplit{1/wavelength} = 1.097 x 10\textasciicircum{}7\textasciicircum{} m\textasciicircum{}-1\textasciicircum{}(1/n(f)\textasciicircum{}2\textasciicircum{} - 1/n(i)\textasciicircum{}2\textasciicircum{}) & & \tn % Row Count 10 (+ 10) % Row 14 \SetRowColor{white} \seqsplit{difference} in energy between two quantum states & E = hv = -2.18 x 10\textasciicircum{}-18\textasciicircum{} J (1/n(f)\textasciicircum{}2\textasciicircum{} - 1/n(i)\textasciicircum{}2\textasciicircum{}) & & \tn % Row Count 15 (+ 5) % Row 15 \SetRowColor{LightBackground} energy of an electron with a given quantum state & En = -2.18 x 10\textasciicircum{}-18\textasciicircum{} J (1/n\textasciicircum{}2\textasciicircum{}) & & \tn % Row Count 20 (+ 5) % Row 16 \SetRowColor{white} \seqsplit{wavelength} of \seqsplit{emitted/absorbed} light & \seqsplit{1/wavelength} = 2.18 x 10\textasciicircum{}-18\textasciicircum{} J/hc (1/n(f)\textasciicircum{}2\textasciicircum{} - 1/n(i)\textasciicircum{}2\textasciicircum{}) & & \tn % Row Count 26 (+ 6) % Row 17 \SetRowColor{LightBackground} de broglie \seqsplit{wavelength} & \seqsplit{wavelength} = h/mu & m: mass of particle in kg; u: velocity of the particle in s\textasciicircum{}-1\textasciicircum{} or Hz & \tn % Row Count 33 (+ 7) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{p{0.65825 cm} p{0.65825 cm} p{0.65825 cm} p{0.65825 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{3.833cm}}{\bf\textcolor{white}{Exam 1 (cont)}} \tn % Row 18 \SetRowColor{LightBackground} \seqsplit{heinsenberg} \seqsplit{uncertainty} principle & deltax x deltap \textgreater{} h/4pi & deltax x mdeltau \textgreater{} h/4pi & position of particle: x; momentum of particle: p (defined as mass times velocity) \tn % Row Count 9 (+ 9) % Row 19 \SetRowColor{white} energy and \seqsplit{wavelength} & E = \seqsplit{hc/wavelength} & \seqsplit{wavelength} = hc/E & \tn % Row Count 12 (+ 3) % Row 20 \SetRowColor{LightBackground} charge of a single electron & -1.6022 x 10\textasciicircum{}-19\textasciicircum{} C & C: coulombs & \tn % Row Count 15 (+ 3) % Row 21 \SetRowColor{white} atomic mass units (amu) & 1 amu = 1.66 x 10\textasciicircum{}-24\textasciicircum{} g & 1 amu = 1.66 x 10\textasciicircum{}-27\textasciicircum{} kg & \tn % Row Count 18 (+ 3) % Row 22 \SetRowColor{LightBackground} angstrom & 1 A = 1 x 10\textasciicircum{}-10\textasciicircum{} m & & \tn % Row Count 20 (+ 2) % Row 23 \SetRowColor{white} mass of a single electron & 9.10 x 10\textasciicircum{}-28\textasciicircum{} g & & \tn % Row Count 23 (+ 3) % Row 24 \SetRowColor{LightBackground} mass of a proton & 1.67262 x 10\textasciicircum{}-24\textasciicircum{} g & & \tn % Row Count 25 (+ 2) % Row 25 \SetRowColor{white} \seqsplit{charge-to-mass} ratio of an electron & 1.76 x 10\textasciicircum{}8\textasciicircum{} C/g & & \tn % Row Count 29 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}----} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.73724 cm} p{0.71091 cm} p{0.71091 cm} p{0.47394 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{3.833cm}}{\bf\textcolor{white}{Exam 2}} \tn % Row 0 \SetRowColor{LightBackground} effective nuclear charge (Zeff) & Zeff = Z - o & Z: number of protons; o: shielding constant or number of core electrons & \tn % Row Count 8 (+ 8) % Row 1 \SetRowColor{white} force (coulomb's law) & F = Q1Q2/d\textasciicircum{}2\textasciicircum{} & & \tn % Row Count 11 (+ 3) % Row 2 \SetRowColor{LightBackground} ionic EN difference & \textgreater{} or equal to 2.0 & & \tn % Row Count 13 (+ 2) % Row 3 \SetRowColor{white} polar EN difference & .5 - 2.0 & & \tn % Row Count 15 (+ 2) % Row 4 \SetRowColor{LightBackground} nonpolar (or purely covalent) EN difference & \textless{} .5 & & \tn % Row Count 19 (+ 4) % Row 5 \SetRowColor{white} \% by mass of an element & = n x atomic mass of \seqsplit{element/molecular} or formula mass of compound (100\%) & & \tn % Row Count 27 (+ 8) % Row 6 \SetRowColor{LightBackground} \% ionic character & = u \seqsplit{(observed)/u} \seqsplit{(calculated)} (100\%) & u: dipole moment & \tn % Row Count 31 (+ 4) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{p{0.73724 cm} p{0.71091 cm} p{0.71091 cm} p{0.47394 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{3.833cm}}{\bf\textcolor{white}{Exam 2 (cont)}} \tn % Row 7 \SetRowColor{LightBackground} dipole moment & u = Q x r & u: dipole moment (in debeye units (D)); Q: charge \seqsplit{magnitude;} r: distance between charges (bond length) & 1 D = 3.336 x 10\textasciicircum{}-30\textasciicircum{} C x m \tn % Row Count 11 (+ 11) % Row 8 \SetRowColor{white} charge magnitude & Q = u/r & & \tn % Row Count 13 (+ 2) % Row 9 \SetRowColor{LightBackground} formal charge & = valence electrons - (all \seqsplit{nonbonding} electrons + 1/2 bonding \seqsplit{electrons)} & & \tn % Row Count 21 (+ 8) % Row 10 \SetRowColor{white} \seqsplit{electronegativity} & EN = IE1 + EA /2 & & \tn % Row Count 23 (+ 2) % Row 11 \SetRowColor{LightBackground} coulomb & 1 C = 6.242 x 10\textasciicircum{}18\textasciicircum{} electron charge & & \tn % Row Count 27 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}----} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.78959 cm} x{2.64341 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Exam 3}} \tn % Row 0 \SetRowColor{LightBackground} bond order & = number of electrons in bonding MO - number of electrons in antibonding MO/2 \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} atom economy & = sum of molar mass of desired product/sum of molar mass of reactants \tn % Row Count 6 (+ 3) % Row 2 \SetRowColor{LightBackground} \% yield & = actual yield/theoretical yield (100\%) \tn % Row Count 8 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Exam 4}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{molarity} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{dilution} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{kinetic energy} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{average kinetic energy of a group of gas molecules} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{total kinetic energy of one mole of any gas} \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{root-mean-square-speed} \tn % Row Count 6 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{comparing Urms values of molecules in different gas samples} \tn % Row Count 8 (+ 2) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{graham's law} \tn % Row Count 9 (+ 1) % Row 8 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{pressure} \tn % Row Count 10 (+ 1) % Row 9 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{pressure exerted by a column of fluid} \tn % Row Count 11 (+ 1) % Row 10 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{boyles law} \tn % Row Count 12 (+ 1) % Row 11 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{charles law} \tn % Row Count 13 (+ 1) % Row 12 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{avogadros law} \tn % Row Count 14 (+ 1) % Row 13 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{combined gas law} \tn % Row Count 15 (+ 1) % Row 14 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{ideal gas equation} \tn % Row Count 16 (+ 1) % Row 15 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{density of a gas} \tn % Row Count 17 (+ 1) % Row 16 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{molar mass of a gas} \tn % Row Count 18 (+ 1) % Row 17 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{van der waals equation} \tn % Row Count 19 (+ 1) % Row 18 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{compressibility factor} \tn % Row Count 20 (+ 1) % Row 19 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{partial pressure} \tn % Row Count 21 (+ 1) % Row 20 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{mole fraction} \tn % Row Count 22 (+ 1) % Row 21 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{amount of reactant consumed} \tn % Row Count 23 (+ 1) % Row 22 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{pressure exerted over water} \tn % Row Count 24 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}