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 \textbf{find website}, a magnetic field of \textbf{insert value} corresponds to a precession frequency equal to 1852Hz. We expect magnetization, and therefore voltage indicated by an  amplitude expressed as a voltage  on the oscilloscope 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 Current}