<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">% Hlavicka pro protokoly z fyzikalniho praktika.
% Verze pro: LaTeX
% Verze hlavicky: 22. 2. 2007
% Autor: Ustav fyziky kondenzovanych latek
% Ke stazeni: www.physics.muni.cz/ufkl/Vyuka/
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\jmenopraktika={Praktikum z elektroniky}  % nahradte jmenem vaseho predmetu
\jmeno={Radek Ĺ˝emliÄŤka}            % nahradte jmenem mericiho
\datum={19.~ĹĂ­jna 2010}        % nahradte datem mereni ulohy
\obor={Fy PLAZ}                     % nahradte zkratkou vami studovaneho oboru
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\semestr={I}                 % nahradte semestrem, ve kterem studujete
\cisloulohy={6}               % nahradte cislem merene ulohy
\jmenoulohy={NapaĹ™ovĂˇnĂ­ tenkĂ˝ch kovovĂ˝ch vrstev} % nahradte jmenem merene ulohy

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\begin{document}

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{
\begin{center}
\sf 
{\Large FyzikĂˇlnĂ­ sekce pĹ™Ă­rodovÄ›deckĂ© fakulty Masarykovy univerzity v~BrnÄ›} \\
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{\huge \bfseries FYZIKĂLNĂŤ PRAKTIKUM} \\
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{\Large \the\jmenopraktika}
\end{center}

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\large {\bfseries Zpracoval:}  \the\jmeno &amp; \large  {\bfseries NamÄ›Ĺ™eno:} \the\datum\\[2mm]
\large  {\bfseries Obor:} \the\obor  \hspace{5mm}  %{\bfseries RoÄŤnĂ­k:} \the\rocnik 
\hspace{5mm} %{\bfseries Semestr:} \the\semestr  
&amp;\large {\bfseries TestovĂˇno:}\\
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\Large  Ăšloha ÄŤ. {\bfseries \the\cisloulohy:} \par
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\section{TeretickĂˇ ÄŤĂˇst}
NapaĹ™ovĂˇnĂ­ tenkĂ˝ch kovovĂ˝ch vrstev probĂ­hĂˇ tak, Ĺľe substrĂˇt, na kerĂ˝ chceme vrstvu napaĹ™it, umĂ­stĂ­me v blĂ­zkosti lĂˇtky, kterou chceme napaĹ™ovat. Tato lĂˇtka je v pevnĂ© fĂˇzi a v naĹˇem pĹ™Ă­padÄ› mÄ›la tvar lodiÄŤky. LodiÄŤkou se nechĂˇ protĂ©kat vysokĂ˝ elektrickĂ˝ proud, kterĂ˝ lĂˇtku zahĹ™eje na velmi vysokou teplotu a tĂ­m rozprĂˇĹˇĂ­ do vĹˇech smÄ›rĹŻ. LĂˇtka se takto napaĹ™Ă­ na vnitĹ™nĂ­ polchy aparatury, jejichĹľ souÄŤĂˇstĂ­ je i substrĂˇt. Tento dÄ›j musĂ­ probĂ­hat ve vakuu.

Pro vytvoĹ™enĂ­ vakua v aparatuĹ™e byla v naĹˇem pĹ™Ă­padÄ› pouĹľita rotaÄŤnĂ­ vĂ˝vÄ›va (ÄŤerpĂˇ do Ĺ™ĂˇdĹŻ jednotek pascalĹŻ) a turbonukleĂˇrnĂ­ vĂ˝vÄ›va (ÄŤerpĂˇ Ĺ™ĂˇdovÄ› do $10^{-4}$ Pa). Pro ÄŤerpacĂ­ rychlost v ÄŤase $t_2 -t_1$ $S_{t_1 -t_2}$ pĹ™i stĂˇlem obÄ›mu $V$ a tlacĂ­ch $p(t_1) = p_{t_1}$ a $p(t_2) = p_{t_2}$ platĂ­ vztah:
\begin{equation}
 S_{t_2-t_1} = \frac{V}{t_2-t_1} \ln{\frac{p_{t_1}}{p_{t_2}}}
\label{rychlost}
\end{equation}

NapaĹ™enĂˇ vrstva kovu mÄ›nĂ­ rezonanÄŤnĂ­ frekvenci krystalu, ÄŤehoĹľ bylo vyuĹľito k vĂ˝poÄŤtu tlouĹˇtku vrstvy.

\section{ExperimentĂˇlnĂ­ ÄŤĂˇst}
\subsection{MÄ›Ĺ™enĂ­ ÄŤerpacĂ­ rychlosti vĂ˝vÄ›vy metodou konstantĂ­ho objemu}
Objem reaktrou byl vypoÄŤĂ­tĂˇn jako objem koule o polomÄ›ru $r= 686 mm$ plus 10 litrĹŻ., tedy\\
$V = 0.178 m^3$
MÄ›Ĺ™enĂ­ shrnuje tabulka $\ref{tab1}$ a zobrazujĂ­ grafy na obrĂˇzcĂ­ch $\ref{tlak1}$ a $\ref{graf_rychlost}$.
\clearpage
\begin{table}[ht]
 	\begin{center}
    	\begin{tabular}{|c|c|c|}



\hline
$t [s]$&amp;$p [Pa]$&amp;$S [m^3/hod]$\\
\hline
0	&amp;5000	&amp;   \\
10	&amp;3400	&amp;24.75\\
20	&amp;2200	&amp;27.94\\
30	&amp;1400	&amp;29.01\\
40	&amp;880	&amp;29.80\\
50	&amp;610	&amp;23.52\\
60	&amp;390	&amp;28.71\\
70	&amp;270	&amp;23.60\\
80	&amp;180	&amp;26.03\\
90	&amp;130	&amp;20.89\\
100	&amp;77	&amp;33.62\\
110	&amp;56	&amp;20.44\\
120	&amp;42	&amp;18.47\\
200	&amp;6.8	&amp;14.61\\
240	&amp;4.3	&amp;7.35\\
300	&amp;2.9	&amp;4.21\\
360	&amp;2.3	&amp;2.48\\
420	&amp;2	&amp;1.50\\
480	&amp;1.8	&amp;1.13\\
540	&amp;1.6	&amp;1.26\\
600	&amp;1.5	&amp;0.69\\
660	&amp;1.4	&amp;0.74\\
\hline
\end{tabular}
 \caption{MÄ›Ĺ™enĂ­ ÄŤerpacĂ­ rychlosti vĂ˝vÄ›vy metodou konstantĂ­ho objemu}    
 \label{tab1}
  \end{center}
\end{table}
\begin{figure}[ht]
\centering
\includegraphics[scale = 0.9]{tlak1.png} 
\caption{ZĂˇvislost tlaku na ÄŤase pĹ™i ÄŤerpĂˇnĂ­ rotaÄŤnĂ­ vĂ˝vÄ›vou}
\label{tlak1}
\end{figure}
\begin{figure}[ht]
\centering
\includegraphics[scale = 0.9]{rychlost.png} 
\caption{ZĂˇvislost ÄŤerpacĂ­ rychlosti na stĹ™ednĂ­m tlaku}
\label{graf_rychlost}
\end{figure}
\clearpage
\subsection{MÄ›Ĺ™enĂ­ ÄŤasovĂ© zĂˇvislsoti tlaku pĹ™i ÄŤerpĂˇnĂ­ turbomolekulĂˇrnĂ­ vĂ˝vÄ›vou}
MÄ›Ĺ™enĂ­ shrnuje tabulka $\ref{tab2}$ a zobrazuje graf na obrĂˇzku $\ref{tlak2}$
\begin{table}[ht]
 	\begin{center}
    	\begin{tabular}{|c|c||c|c|}
\hline
$t [s]$&amp;$p [Pa]$&amp;$t [s]$&amp;$p [Pa]$\\
\hline
0	&amp;0.7100	&amp;810	&amp;0.0065\\
30	&amp;0.0790	&amp;870	&amp;0.0062\\
60	&amp;0.0420	&amp;930	&amp;0.0057\\
90	&amp;0.0390	&amp;990	&amp;0.0045\\
120	&amp;0.0290	&amp;1050	&amp;0.0043\\
150	&amp;0.0230	&amp;1110	&amp;0.0042\\
180	&amp;0.0190	&amp;1170	&amp;0.0040\\
210	&amp;0.0170	&amp;1230	&amp;0.0039\\
270	&amp;0.0150	&amp;1290	&amp;0.0038\\
330	&amp;0.0130	&amp;1350	&amp;0.0037\\
390	&amp;0.0120	&amp;1410	&amp;0.0036\\
450	&amp;0.0110	&amp;1570	&amp;0.0035\\
510	&amp;0.0095	&amp;1630	&amp;0.0034\\
570	&amp;0.0086	&amp;1660	&amp;0.0033\\
630	&amp;0.0080	&amp;1780	&amp;0.0031\\
690	&amp;0.0076	&amp;1900	&amp;0.0030\\
750	&amp;0.0069	&amp;2020	&amp;0.0029\\
\hline
\end{tabular}
 \caption{MÄ›Ĺ™enĂ­ ÄŤasovĂ© zĂˇvislsoti tlaku pĹ™i ÄŤerpĂˇnĂ­ turbomolekulĂˇrnĂ­ vĂ˝vÄ›vou}    
 \label{tab2}
  \end{center}
\end{table}
\begin{figure}[ht]
\centering
\includegraphics[scale = 0.9]{tlak1.png} 
\caption{ÄŚasovĂˇ zĂˇvislsot tlaku pĹ™i ÄŤerpĂˇnĂ­ turbomolekulĂˇrnĂ­ vĂ˝vÄ›vou}
\label{tlak2}
\end{figure}

\subsection{UrÄŤenĂ­ zĂˇvislosti zmÄ›ny frekvence na zmÄ›nÄ› tlouĹˇĹĄky rostoucĂ­ vrstvy}
\begin{tabular}{ll}
PoÄŤĂˇteÄŤnĂ­ frekvence&amp;$f_1 = 5988665 Hz$\\
KoneÄŤnĂˇ frakvence&amp;$f_2 = 5981712 Hz$\\
TlouĹˇĹĄka vrstvy&amp;$d = 116nm$\\
\end{tabular}



JelikoĹľ frekvence s hmotnostĂ­ krystalu klesĂˇ lineĂˇrnÄ›, odpovĂ­dĂˇ 1mm napaĹ™enĂ©ho kovu pokles frekvence o 60 Hz


\end{document}




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