At the UW tandem particle accelerator located at the Center for Nuclear Physics and Astrophysics (CENPA), a program is searching for new physics though precision measurements of electron spectra from radioactive decays. The most sensitive searches require very pure Neon-19, which has a halflife of about 17 seconds. Accordingly, we have designed and constructed a system that produces Neon-19. We first bombarded Sulphur Hexafluoride (SF6) with protons from the accelerator. We then metered the SF6 and Neon-19 mix out into a cryogenic trap where it freezes only the SF6. After the trap, we transported the remaining Neon-19 with a turbomolecular pump into the detector. Once the trap had filled with solid SF6, it was valved off from the target, then heated, at which time the frozen SF6 sublimated into to a storage tank before refilling the target. By using a pair of traps, the experiment can be run continuously; one trap thaws while the other freezes. Through models based on nuclear cross-section data from previous experiments, the system will produce on the order of 1010 Neon-19 nuclei per second. Our system will contribute to an effort to better describe the interactions of particles and refine the Standard Model of particle physics.