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After Width: | Height: | Size: 3.8 KiB |
BIN
Bohr_atom_model_excite.pdf
Normal file
BIN
Bohr_atom_model_excite.pdf
Normal file
Binary file not shown.
BIN
Encyclopaedia Brittanica EM spectrum.jpg
Normal file
BIN
Encyclopaedia Brittanica EM spectrum.jpg
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 190 KiB |
BIN
emission-and-absorption-spectra.jpeg
Normal file
BIN
emission-and-absorption-spectra.jpeg
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 116 KiB |
200
presentation.tex
Normal file
200
presentation.tex
Normal file
@@ -0,0 +1,200 @@
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\documentclass{beamer}
|
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\usepackage[utf8]{inputenc}
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\usepackage{amsmath}
|
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\usepackage{unicode-math}
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\usetheme{Madrid}
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\usecolortheme{default}
|
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|
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%------------------------------------------------------------
|
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%This block of code defines the information to appear in the
|
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%Title page
|
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\title{Observational Astronomy}
|
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|
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\subtitle{How we make the EM spectrum our bitch}
|
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|
||||
\author{Lauren Thomas (ljaytee)}
|
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|
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\date{Newline 2023}
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%End of title page configuration block
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%------------------------------------------------------------
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%------------------------------------------------------------
|
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%The next block of commands puts the table of contents at the
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%beginning of each section and highlights the current section:
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|
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%------------------------------------------------------------
|
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|
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\begin{document}
|
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|
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%The next statement creates the title page.
|
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\frame{\titlepage}
|
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|
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|
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\section{First section}
|
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|
||||
%---------------------------------------------------------
|
||||
%Changing visivility of the text
|
||||
\begin{frame}{Light spectra}{Electromagnetic spectrum}
|
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\centering
|
||||
\includegraphics[width=10cm]{Encyclopaedia Brittanica EM spectrum.jpg}
|
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\end{frame}
|
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|
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%---------------------------------------------------------
|
||||
|
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|
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%---------------------------------------------------------
|
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%Example of the \pause command
|
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\begin{frame}{How is electromagnetic radiation created}
|
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\begin{figure}
|
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\centering
|
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\includegraphics{Bohr_atom_model.pdf}
|
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\caption{Bohr model of a hydrogen atom}
|
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\end{figure}
|
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\end{frame}
|
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|
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\begin{frame}{How is electromagnetic radiation created}
|
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\begin{figure}
|
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\centering
|
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\includegraphics{Bohr_atom_model_absorb.pdf}
|
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\caption{Absorption}
|
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\end{figure}
|
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\end{frame}
|
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|
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\begin{frame}{How is electromagnetic radiation created}
|
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\begin{figure}
|
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\centering
|
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\includegraphics{Bohr_atom_model_emit.pdf}
|
||||
\caption{Emission}
|
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\end{figure}
|
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\end{frame}
|
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|
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\begin{frame}{Photon energy}
|
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\begin{align*}
|
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\action<+->{
|
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&E_3 - E_2 = {\sf Energy~ of~ the~ photon} = hf \\
|
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&{\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}
|
||||
|
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\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}
|
||||
|
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\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*}
|
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\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}
|
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|
||||
%---------------------------------------------------------
|
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%Highlighting text
|
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\begin{frame}
|
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\frametitle{Sample frame title}
|
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|
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In this slide, some important text will be
|
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\alert{highlighted} because it's important.
|
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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".
|
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\end{examples}
|
||||
\end{frame}
|
||||
%---------------------------------------------------------
|
||||
|
||||
|
||||
%---------------------------------------------------------
|
||||
%Two columns
|
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\begin{frame}
|
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\frametitle{Two-column slide}
|
||||
|
||||
\begin{columns}
|
||||
|
||||
\column{0.5\textwidth}
|
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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
|
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layout in some cases.
|
||||
\end{columns}
|
||||
\end{frame}
|
||||
%---------------------------------------------------------
|
||||
|
||||
|
||||
\end{document}
|
||||
%%% Local Variables:
|
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%%% mode: latex
|
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%%% TeX-master: t
|
||||
%%% End:
|
||||
Reference in New Issue
Block a user