Differential Conductance Measurements of MgB$_{2}$/I/Pb Heterojunctions and all-MgB$_{2}$ Junctions*

We present our work characterizing several types of Magnesium Diboride Josephson junctions, including MgB$_{2}$/I/Pb heterojunctions and all-MgB$_{2}$ junctions. We will report on the I-V and dI/dV-V data collected at various temperatures using both a cryocooler-based experimental platform between 2 and 20 Kelvin and using a $^{3}$He probe platform between 0.3 and 1.0 Kelvin. These were both developed by undergraduates in a liberal arts university. Using high-sampling rates with a 24-bit data acquisition card and access to a broad of range of temperatures, we track and report energy gap distributions and temperature-dependent features of dI/dV peaks of MgB$_{2}$, comparing these with theoretical predictions.