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Emily A Kaplan edited subsection_Varying_the_Polarization_Time__.tex
over 8 years ago
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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 $1.852\pm0.018~kHz$. According to Equation~\ref{eq:precession}, a magnetic field of $43.5 \mu T$ corresponds to a precession frequency equal to 1852Hz, which is within agreement of our measured field of $43.3\pm 0.3 \mu T$. We expect magnetization, indicated by an amplitude
expressed as a voltage on the oscilloscope,
\textbf{<- clarify/delete?}, to change exponentially with changing polarization time according to Eq.~\ref{eq:growthrate} \cite{TeachSpin}. 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 Eq.~\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 Magnetic Polarization}