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Emily A Kaplan edited Abstract.tex
over 8 years ago
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%\textbf{Abstract}
%\end{centering}
%\begin{centering}
\par We
performed an experiment to examine examined the relationship between magnetization, polarizing field time, magnetic field and precession frequency using a 125 mL sample of water and the TeachSpin Earth's Field NMR instrument. Through varying thee different parameters, we could determine the Larmor precession frequency of protons within Earth's field, spin-lattice relaxation time, and the gyromagnetic ratio for protons. We found the Larmor precession frequency to be $1852\pm18~Hz$ corresponding to a local magnetic field of $43.3\pm 0.3 \mu T$ due to Earth's magnetic field, the spin-lattice relaxation time to be $2.15\pm0.05~s$, and the gyromagnetic ratio to be $(2.65\pm0.04) \cdot 10^8~\frac{1}{s\cdot T}$, agreeing with the known value of $2.68\cdot 10^8~\frac{1}{s\cdot T}$.
\end{centering}