+\documentclass[a4paper]{article}
+\usepackage[a4paper,margin=2cm]{geometry}
+\usepackage{multicol}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{tcolorbox}
+\usepackage{fancyhdr}
+\usepackage{tabularx}
+\usepackage{mhchem}
+
+\pagestyle{fancy}
+\fancyhead[LO,LE]{Organic Analysis}
+\fancyhead[CO,CE]{Andrew Lorimer}
+
+\setlength\parindent{0pt}
+
+\begin{document}
+
+ \title{Organic Analysis}
+ \author{Andrew Lorimer}
+ \date{}
+ \maketitle
+
+ \section{Mass Spectrometry}
+
+ \textbf{Separation of particles by mass}
+
+ Identifies molecules by searching for:
+ \begin{enumerate}
+ \item The molecular ion \ce{M+}
+ \item Fragments of the molecule (as ions)
+ \end{enumerate}
+
+ Complicated by noise from different isoptopes of elements (related to relative abundance of isotopes). Every molecule has a \textit{unique} mass spectrum which can be used to identify a substance.
+
+ \subsection*{Process}
+
+ \begin{enumerate}
+ \item Sample species are bombarded with electrons
+ \item Positive ions are formed by detaching electrons
+ \item Ions are accelerated by an electric field
+ \item Accelerated ions are deflected by a magnetic field in a circular radius
+ \end{enumerate}
+
+ \[ \text{deflection radius} \propto \dfrac{m}{z} \]
+
+ \begin{align*}
+ \therefore \qquad \uparrow \text{mass} & \implies \downarrow \text{deflection} \implies \uparrow \text{radius} \\
+ \uparrow \text{charge} & \implies \uparrow \text{deflection} \implies \downarrow \text{radius}
+ \end{align*}
+
+ \subsection*{Reading a mass spectrum}
+
+ \(x\) axis: mass-charge ratio \(\frac{m}{z}\) of fragments \\
+ \(y\) axis: relative abundance of fragments (molecular MS) or isotopes (isotopic MS) with that \(\frac{m}{z}\)
+
+ \begin{itemize}
+ \item Most ions have a single +ve charge, \therefore \(\frac{m}{z} = m\)
+ \item Ions with double or triple +ve charges can show up in lower abundance as \(\frac{m}{2}\) or \(\frac{m}{3}\)
+ \item \textbf{Base peak}: most abundant ion, assigned 100
+ \item \textbf{Molecular ion}: molecule as singly charged ion \ce{M+}
+ \item \textbf{Molecular fragments}: can show functional groups and other characteristic combinations of elements
+ \end{itemize}
+
+ \subsubsection*{Combined techniques}
+
+ \section{IR Spectroscopy}
+
+ \section{Magnetic resonance imaging}
+
+
+\end{document}