This thesis presents two significant results in the field of precision measurements in low-energy nuclear physics.
Precision Measurements to Test the Standard Model and for Explosive Nuclear Astrophysics This new measurement resolves discrepancies in previously-reported calculated mass excesses. Firstly, it presents a precise half-life determination of 11C, leading to the most precise ft-value for a beta decay transition between mirror nuclides, an important advance in the testing of the electroweak sector of the Standard Model. Secondly, it describes a high-precision mass measurement of 56Cu, a critical nucleus for determining the path of the astrophysical rapid-proton capture process, performed by the author using the LEBIT Penning trap at the National Superconducting Cyclotron Laboratory.