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Chris Spencer edited data and analysis c4.tex
almost 10 years ago
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In comparing the corrected value of $c_4$ with the theoretical plots of figure 3, it is seen that the measured $c_4$ does agreee with theory in that it decays as the temperature approaches $T_{\lambda}$ Although the theory plot drops rapidly after 2 K, the measured $c_4$ decays appropriately but "stalls" right before $T_{\lambda}$.
\subsection{Error in $c_4$ and Temperaure}
Error in $c_4$ was found similarly as other sounds by the equation \[dc_{4exp}=\sqrt{(2f)^2 dL^2+(2L)^2 (df)^2},dc_{4 correction}=n\sqrt{(2f)^2 dL^2+(2L)^2 (df)^2}\]\]
The same errors in f,L, and temperature were used here.