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ass1: Fix elemental sc plot and add caption

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Kees van Kempen
2022-02-17 16:25:36 +01:00
parent 25c041d509
commit 73a6a58723
2 changed files with 17 additions and 3 deletions
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16
sc_elements.py
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@ -51,12 +51,22 @@ with open('sc_elements.tex', 'w') as table_file:
from matplotlib import pyplot as plt
fig, ax = plt.subplots(figsize=(15, 9))
fig, ax = plt.subplots(figsize=(10, 5))
#df.plot('rho_300', 'T_c', kind='scatter', ax=ax, loglog=True)
df.plot('rho_300', 'T_c', kind='scatter', ax=ax)
ax.set_xlabel('$\\rho_{300K}$')
ax.set_ylabel('$T_c$')
for k, v in df.iterrows():
ax.annotate(v['element'], (v['rho_300'], v['T_c']))
#ax.annotate(v['element'], (v['rho_300']*.95, v['T_c']*1.05))
ax.annotate(v['element'], (v['rho_300']-4, v['T_c']+.2))
#plt.axis(xmin=2e1, xmax=1.5e3, ymin=1e-4, ymax=1e2)
plt.tight_layout()
#fig.show()
fig.savefig('/home/kvkempen/Documents/20212022Q3/Superconductivity/assignments/sc_elements.pdf')
fig.savefig('/home/kvkempen/Documents/20212022Q3/Superconductivity/assignments/sc_elements.pdf', bbox_inches='tight')
#fig.savefig('/home/kvkempen/Documents/20212022Q3/Superconductivity/assignments/sc_elements.pdf')
plt.close(fig)

4
superconductivity_assignment1_kvkempen.tex
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@ -59,8 +59,12 @@ The data on critical temperatures $T_c$ and (approximately) room temperature res
\begin{figure}[H]
\includegraphics[width=\textwidth]{sc_elements.pdf}
\caption{In this plot of the critical temperature $T_c$ versus the room temperature resistivity $\rho_{300K}$ for elemental superconductors, not one clear relation can be distinguished. For most elements, resistivity is taken at room temperature $T = \SI{300}{\kelvin}$. If it was unavailable in consulted references, the value at the temperature closest to \SI{300}{\kelvin} was chosen. See the table in appendix \ref{appendix:scelements} for the raw data including their source. The mess in the left bottom corner was hard to filter out. A log-log plot was attempted and improved separation, but obscured the observed form.}
\end{figure}
As a way to quantize the (lack of) linear correlation, the calculated Pearson correlation coefficient $r = 0.165415$, suggesting a slightly positive but uncertain correlation.
% I used df.corr() to calculate $r$.
\section{Exam question electrodynamics in superconductors}
No idea yet.