\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{mjb} \pdfinfo{ /Title (hybridization-and-mo-theory.pdf) /Creator (Cheatography) /Author (mjb) /Subject (Hybridization and MO Theory 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}{A3A3A3} \definecolor{LightBackground}{HTML}{F3F3F3} \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{Hybridization and MO Theory Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{mjb} via \textcolor{DarkBackground}{\uline{cheatography.com/128288/cs/25147/}}} \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}mjb \\ \uline{cheatography.com/mjb} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 9th November, 2020.\\ Updated 9th November, 2020.\\ 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*}{3} \begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Hybridization}} \tn % Row 0 \SetRowColor{LightBackground} Formal Charge & FC = (group \#) - (loan pairs + bonds) \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Bond Enthalpy & ΔHrxn = (sum of bonds broken) - (sum of bonds formed) \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} & Weaker bonds broken provide more exothermic reactions. Weaker product bonds make for a less exothermic reaction. \tn % Row Count 10 (+ 5) % Row 3 \SetRowColor{white} Bond Order and Length & Shorter bond length = greater bond order \tn % Row Count 12 (+ 2) % Row 4 \SetRowColor{LightBackground} & Single bonds are the longest and the weakest \tn % Row Count 14 (+ 2) % Row 5 \SetRowColor{white} & Triple bonds are the shortest and the strongest \tn % Row Count 16 (+ 2) % Row 6 \SetRowColor{LightBackground} & Non-integer bond order indicates resonance \tn % Row Count 18 (+ 2) % Row 7 \SetRowColor{white} Non-polar covalent bonds & ex: Cl-Cl \tn % Row Count 20 (+ 2) % Row 8 \SetRowColor{LightBackground} & small energy difference in electronegativity \tn % Row Count 22 (+ 2) % Row 9 \SetRowColor{white} Polar Covalent Bonds & ex: H-Cl \tn % Row Count 24 (+ 2) % Row 10 \SetRowColor{LightBackground} & medium energy difference \tn % Row Count 25 (+ 1) % Row 11 \SetRowColor{white} Ionic Bonds & ex: Li-Cl \tn % Row Count 26 (+ 1) % Row 12 \SetRowColor{LightBackground} & large energy difference (over 1.7) \tn % Row Count 28 (+ 2) % Row 13 \SetRowColor{white} Average Bond Order & ABO = (\# of bonds in the molecule) ÷ (\# of resonance structures) \tn % Row Count 31 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{MO Theory}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/mjb_1604963389_FONEMO.jpg}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{MO diagram for F2, O2, Ne2, and all other molecules} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.44333 cm} x{3.53367 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{MO Theory}} \tn % Row 0 \SetRowColor{LightBackground} Bond Order & (bonds-antibonds) ÷ 2 \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Bonds & σ, π \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} Anti-Bonds & σ{\emph{, π}} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} Sigma Bond & hybridized \textbackslash{} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} Pi Bond & unhybridized p orbital \textbackslash{} \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} Loan Pair & Spin Paired \textbackslash{} -{}-\textgreater{} X \tn % Row Count 6 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.04425 cm} x{1.08602 cm} x{0.96071 cm} x{1.08602 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{5.377cm}}{\bf\textcolor{white}{VSEPR}} \tn % Row 0 \SetRowColor{LightBackground} Number of Electrons & Electron Geometry & Atoms + Loan Pairs & Molecular Geometry \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} 2 & linear & 2+0 & linear \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} 3 & trigonal planar & 3+0 & trigonal planar \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} & & 2+1 & bent \tn % Row Count 6 (+ 1) % Row 4 \SetRowColor{LightBackground} 4 & \seqsplit{tetrahedral} & 4+0 & \seqsplit{tetrahedral} \tn % Row Count 8 (+ 2) % Row 5 \SetRowColor{white} & & 3+1 & trigonal pyramidal \tn % Row Count 10 (+ 2) % Row 6 \SetRowColor{LightBackground} & & 2+2 & bent \tn % Row Count 11 (+ 1) % Row 7 \SetRowColor{white} 5 & trigonal \seqsplit{bipyramidal} & 5+0 & trigonal \seqsplit{bipyramidal} \tn % Row Count 13 (+ 2) % Row 8 \SetRowColor{LightBackground} & & 4+1 & see-saw \tn % Row Count 14 (+ 1) % Row 9 \SetRowColor{white} & & 3+2 & T-shaped \tn % Row Count 15 (+ 1) % Row 10 \SetRowColor{LightBackground} & & 2+3 & linear \tn % Row Count 16 (+ 1) % Row 11 \SetRowColor{white} 6 & \seqsplit{octahedral} & 6+0 & \seqsplit{octahedral} \tn % Row Count 17 (+ 1) % Row 12 \SetRowColor{LightBackground} & & 5+1 & square pyramidal \tn % Row Count 19 (+ 2) % Row 13 \SetRowColor{white} & & 4+2 & square planar \tn % Row Count 21 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}----} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.23965 cm} x{2.73735 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Polarity}} \tn % Row 0 \SetRowColor{LightBackground} Requirements for a Polar Molecule & Bonds must be polar \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} & The molecule cannot have symmetry \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} & A bond is polar if one side is more electronegative than the other \tn % Row Count 7 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{MO Theory}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/mjb_1604963506_BCNpiMO.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Diagram for B2, C2, and N2} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.60195 cm} x{2.38004 cm} p{0.59501 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{The Born-Haber Cycle}} \tn % Row 0 \SetRowColor{LightBackground} Sublimation & Na (s) + 1/2 Cl2 (g) -{}-\textgreater{} Na (g) + Cl (g) & \seqsplit{+107.32} kJ \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Cl-Cl bond energy & Na (g) + Cl (g) -{}-\textgreater{} Na (g) + 1/2 Cl2 (g) & \seqsplit{+121.68} kJ \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} ionization energy of sodium & Na (g) + 1/2 Cl2 (g) -{}-\textgreater{} Na+(g) + Cl (g) + e- & +496 kJ \tn % Row Count 7 (+ 3) % Row 3 \SetRowColor{white} Electron Affinity of Cl & Na+(g) + Cl (g) + e- -{}-\textgreater{} Na+ (g) + Cl- (g) & -349 kJ \tn % Row Count 10 (+ 3) % Row 4 \SetRowColor{LightBackground} Lattice Energy of NaCl & Na+ (g) + Cl- (g) -{}-\textgreater{} NaCl (s) & -786 kJ \tn % Row Count 12 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.32733 cm} x{2.47158 cm} p{0.77809 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Sigma and Pi Bonds}} \tn % Row 0 \SetRowColor{LightBackground} Valence Bond Theory & When two atoms are in close proximity to one another, they arrange themselves at the lowest possible energy & \tn % Row Count 6 (+ 6) % Row 1 \SetRowColor{white} Sigma bonds & Formed by end-on overlap of orbitals along the internuclear axis & \tn % Row Count 10 (+ 4) % Row 2 \SetRowColor{LightBackground} & the electron density is highest right between the two atoms & \tn % Row Count 13 (+ 3) % Row 3 \SetRowColor{white} Pi bonds & Formed by side on overlap of orbitals & \tn % Row Count 15 (+ 2) % Row 4 \SetRowColor{LightBackground} & there is no electron density between the atoms & \tn % Row Count 18 (+ 3) % Row 5 \SetRowColor{white} & Weaker than sigma bonds & \tn % Row Count 20 (+ 2) % Row 6 \SetRowColor{LightBackground} Valence electron pairs & Electron Geometry & \seqsplit{Hybridization} \tn % Row Count 23 (+ 3) % Row 7 \SetRowColor{white} 2 & linear & sp \tn % Row Count 24 (+ 1) % Row 8 \SetRowColor{LightBackground} 3 & trigonal planar & sp2 \tn % Row Count 25 (+ 1) % Row 9 \SetRowColor{white} 4 & tetrahedral & sp3 \tn % Row Count 26 (+ 1) % Row 10 \SetRowColor{LightBackground} 5 & trigonal bipyramidal & sp4 \tn % Row Count 27 (+ 1) % Row 11 \SetRowColor{white} 6 & octahedral & sp5 \tn % Row Count 28 (+ 1) % Row 12 \SetRowColor{LightBackground} Single Bonds & one sigma bond & \tn % Row Count 30 (+ 2) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{1.32733 cm} x{2.47158 cm} p{0.77809 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Sigma and Pi Bonds (cont)}} \tn % Row 13 \SetRowColor{LightBackground} Double Bonds & one sigma, one pi bond & \tn % Row Count 2 (+ 2) % Row 14 \SetRowColor{white} Triple Bonds & one sigma, two pi bonds & \tn % Row Count 4 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}