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+\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: diff --git a/qso.jpg b/qso.jpg new file mode 100644 index 0000000000000000000000000000000000000000..d05ed0566bf77d3cc391187ab81ca2011117f4d5 GIT binary patch literal 118167 zcmdSAcTiJbv@jYA_ya+dq98>D0Rw{4LdQar(38*-ij)8WLhp!(3Q8A9=tYDOk`NF` 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