deletions | additions       diff --git a/subsection_Varying_the_Polarization_Time__.tex b/subsection_Varying_the_Polarization_Time__.tex  index 2154f89..ba8a351 100644  --- a/subsection_Varying_the_Polarization_Time__.tex  +++ b/subsection_Varying_the_Polarization_Time__.tex 
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\subsection{Varying the Polarization Time}  We first measured the Larmor frequency, as described in the Methods, and found a value of $1.842\pm0.014~kHz$, which is very close as the manual says that the precession frequency should be approximately 2 kHz. We  expect magnetization, and therefore voltage, to change exponentially with changing polarization time according to Equation~\ref{growthrate} Equation~\ref{eq:growthrate}  \textbf{(cite manual)}. By plotting data for three different times after the polarization field was no longer applied, as shown in Fig.~\ref{fig:measurepolarizationtime}, we could fit the data to Equation~\ref{eq:growthrate} and obtain values for the spin-lattice relaxation time {T_1}, which should be the same for our three different curves. We found ${T_1}=2.15\pm0.05 s$. \subsection{Varying the Current}  We also varied current, keeping all other values constant, and measured precession frequency. We found there to be no dependence, as expected and predicted by Equation~\ref{eq:precession}. We  expect the magnetization to vary according to Equation~\ref{eq:tanh} when we artificially increase Earth's magnetic field, using a constant polarization time (which was in this case 10s). 10 seconds), as seen in Fig.~\ref{fig:polarizationtime10s}.