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\documentclass{beamer}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{unicode-math}
\usetheme{Madrid}
\usecolortheme{default}
%------------------------------------------------------------
%This block of code defines the information to appear in the
%Title page
\title{Observational Astronomy}
\subtitle{How we make the EM spectrum our bitch}
\author{Lauren Thomas (ljaytee)}
\date{Newline 2023}
%End of title page configuration block
%------------------------------------------------------------
%------------------------------------------------------------
%The next block of commands puts the table of contents at the
%beginning of each section and highlights the current section:
%------------------------------------------------------------
\begin{document}
%The next statement creates the title page.
\frame{\titlepage}
\section{First section}
%---------------------------------------------------------
%Changing visivility of the text
\begin{frame}{Light spectra}{Electromagnetic spectrum}
\centering
\includegraphics[width=10cm]{Encyclopaedia Brittanica EM spectrum.jpg}
\end{frame}
%---------------------------------------------------------
%---------------------------------------------------------
%Example of the \pause command
\begin{frame}{How is electromagnetic radiation created}
\begin{figure}
\centering
\includegraphics{Bohr_atom_model.pdf}
\caption{Bohr model of a hydrogen atom}
\end{figure}
\end{frame}
\begin{frame}{How is electromagnetic radiation created}
\begin{figure}
\centering
\includegraphics{Bohr_atom_model_absorb.pdf}
\caption{Absorption}
\end{figure}
\end{frame}
\begin{frame}{How is electromagnetic radiation created}
\begin{figure}
\centering
\includegraphics{Bohr_atom_model_emit.pdf}
\caption{Emission}
\end{figure}
\end{frame}
\begin{frame}{Photon energy}
\begin{align*}
\action<+->{
&E_3 - E_2 = {\sf Energy~ of~ the~ photon} = hf \\
&{\sf where~} h =6.626\cdot 10^{-34} J\cdot Hz^{-1} \\
}
\action<+->{
&E = {hc \over \lambda} \\
&c =3\cdot 10^8 m\cdot s^{-1}
}
\end{align*}
\end{frame}
\begin{frame}{Let's do an example}
\begin{align*}
E_n &= {-hc R_\infty \over n^2} \\
R_\infty &= {m_e e^4 \over 8\epsilon_0 ^2 h^3 c}
\end{align*}
\begin{alignat*}{3}
R_\infty &= 10\:973\:781.568160\; m^{-1} &\hspace{1em}& {\sf Rydberg~ constant} \\
n_e &= 9.11 \cdot 10^{-31}\; kg && {\sf Electron~ mass} \\
e &= 1.602 \cdot 10^{-19}\; C && {\sf Elementary~ charge} \\
\epsilon_0 &= 8.854 \cdot 10^{-12}\; F \cdot m^{-1} && {\sf Permitivity~ of~ free~ space}
\end{alignat*}
\end{frame}
\begin{frame}{Lets's do an example (continued)}
The Rydberg constant for hydrogen can be calculated using the reduced mass of the electron.
\begin{align*}
R_H &= R_\infty {m_p \over m_e + m_p} \\
R_H &= 0.999\ldots R_\infty
\end{align*}
\end{frame}
\begin{frame}{Lets's do an example (continued)}
\begin{align*}
E_3 - E_2 &= 3.027 \cdot 10^{-19} \\
E &= {hc \over \lambda} \\
\lambda &= {hc \over E} \\
& = 6.5611 \cdot 10^{-7} m \\
& ~\therefore \\
\lambda &= 656\; nm~ (3\; s.f.)
\end{align*}
\end{frame}
\begin{frame}{Emission and absorption spectra}
\begin{figure}
\centering
\includegraphics[width=12cm]{emission-and-absorption-spectra.jpeg}
\end{figure}
\end{frame}
\begin{frame}{A real emission spectrum}
\begin{figure}
\centering
\includegraphics[width=7cm]{qso.jpg}
\end{figure}
\end{frame}
\begin{frame}{Redshift and the expanding universe}
\begin{eqnarray*}
z &= \sqrt\dfrac{c+v}{ c-v} - 1 \\
&= \dfrac{\lambda_{obs} - \lambda_{emit}}{\lambda_{emit}}
\end{eqnarray*}
\end{frame}
%---------------------------------------------------------
\section{Second section}
%---------------------------------------------------------
%Highlighting text
\begin{frame}
\frametitle{Sample frame title}
In this slide, some important text will be
\alert{highlighted} because it's important.
Please, don't abuse it.
\begin{block}{Remark}
Sample text
\end{block}
\begin{alertblock}{Important theorem}
Sample text in red box
\end{alertblock}
\begin{examples}
Sample text in green box. The title of the block is ``Examples".
\end{examples}
\end{frame}
%---------------------------------------------------------
%---------------------------------------------------------
%Two columns
\begin{frame}
\frametitle{Two-column slide}
\begin{columns}
\column{0.5\textwidth}
This is a text in first column.
$$E=mc^2$$
\begin{itemize}
\item First item
\item Second item
\end{itemize}
\column{0.5\textwidth}
This text will be in the second column
and on a second tought this is a nice looking
layout in some cases.
\end{columns}
\end{frame}
%---------------------------------------------------------
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End:

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