Project Type

URC Presentation


Physics and Astronomy

College or School


Class Year



B.S. in Physics

Faculty Research Advisor

Elena Long


To make further advancements in nuclear polarization, the Dynamic Nuclear Polarization Group at the University of New Hampshire requires an accurate measurement of the polarization of their materials. Through a non-traditional method of data analysis, the uncertainty in this polarization measurement via Nuclear Magnetic Resonance (NMR) was reduced. To extract the polarization, we measure an NMR signal through the real impedance of our circuitry, whose area is proportional to the polarization. However, our signal size depends on how in-tune our circuitry is with a specific frequency, with the signal growing smaller the less in-tune it becomes. A new method of data analysis was developed to convert an off-tune signal to one that is perfectly in-tune. To do this, both the real and imaginary impedance were analyzed, creating a single circle in a Pappus Chain. Using the properties of the Pappus Chain and inversion geometry, the off-tune signal is converted to a perfectly in-tune signal. This method allows us to extract a much cleaner NMR signal, as well as increase our certainty in off-tune measurements.