Abstract
The atomic masses of both $^{3}\mathrm{H}$ and $^{3}\mathrm{He}$ have been measured with a Penning trap mass spectrometer that utilizes a frequency-shift detector to observe ion cyclotron resonances. Present resolution exceeds 1 part in ${10}^{9}$ and is limited only by the stability of the magnetic field. The leading systematic shift (at \ensuremath{\lesssim}1 part in ${10}^{10}$) is due to the residual quadratic B field dependence. The atomic masses have been combined to yield \ensuremath{\Delta}${\mathit{Mc}}^{2}$${(}^{3}$H${\mathrm{\ensuremath{-}}}^{3}$He)=18 590.1(1.7) eV. The excellent agreement with recent results from \ensuremath{\beta} spectrometers lends strong support for new limits on the neutrino's rest mass.
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