Commit 02e1962f authored by Stefan Gehr's avatar Stefan Gehr
Browse files

Falsche Zahlenwerte bei Formeln mit sinus

parent 062c2f06
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......@@ -28,15 +28,15 @@
\begin{align*}
\left(\frac{1}{4\pi\epsilon_0} \frac{2\cdot 79 e^2}{4 \cdot \SI{4,5}{\mega\electronvolt}}\right)^2
\frac{1}{\sin^4(\SI{60}{\degree} / 2)}
\approx \SI{56.66364390221623}{\barn\per\steradian}
\approx \SI{56.7}{\barn\per\steradian}
\approx \SI{25.56187730949168}{\barn\per\steradian}
\approx \SI{25.6}{\barn\per\steradian}
.\end{align*}
\paragraph{\(\theta=\SI{180}{\degree}\):}
\begin{align*}
\left(\frac{1}{4\pi\epsilon_0} \frac{2\cdot 79 e^2}{4 \cdot \SI{4,5}{\mega\electronvolt}}\right)^2
\frac{1}{\sin^4(\SI{180}{\degree} / 2)}
\approx \SI{1.9280252427948779}{\barn\per\steradian}
\approx \SI{1.93}{\barn\per\steradian}
\approx \SI{1.5976173318432294}{\barn\per\steradian}
\approx \SI{1.60}{\barn\per\steradian}
.\end{align*}
\subsection*{b}
Der totale Wirkungsquerschnitt
......@@ -106,8 +106,8 @@ Laut Angabe handelt es sich bei \(\theta_1=\SI{1}{\degree}\) um das erste Minimu
\begin{align*}
b = \frac{\lambda}{\sin(\theta_1)}
= \frac{\SI{500}{\nano\metre}}{\sin(\SI{1}{\degree})}
\approx \SI{735.8106801699591}{\nano\metre}
\approx \SI{736}{\nano\metre}
\approx \SI{28649.344249275095}{\nano\metre}
\approx \SI{28.6}{\micro\metre}
.\end{align*}
\subsection*{b}
\begin{align*}
......@@ -117,8 +117,8 @@ Laut Angabe handelt es sich bei \(\theta_1=\SI{1}{\degree}\) um das erste Minimu
\Leftrightarrow R_{\mathrm{Kern}}
&= \frac{hc}{2E\sin(\theta_1)}
= \frac{hc}{2\cdot \SI{420}{\mega\electronvolt}\cdot \sin(\SI{52}{\degree})} \\
&\approx \SI{1.6165637411981199e-15}{\metre}
\approx \SI{1.6e-15}{\metre}
&\approx \SI{1.8730738832488597e-15}{\metre}
\approx \SI{1.9e-15}{\metre}
.\end{align*}
Man vergleicht mit
\begin{align*}
......
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