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Abstract
We report measurements of the NMR spin-lattice relaxation time, ${\mathit{T}}_{1}$, of $^{3}\mathrm{He}$ in $^{4}\mathrm{He}$ films for 0.03T0.60 K as a function of $^{4}\mathrm{He}$ coverage for 0.1 layer of adsorbed $^{3}\mathrm{He}$. The results show thermally activated behavior for T>0.25 K and yield the energy difference, \ensuremath{\delta}\ensuremath{\epsilon}, between the $^{3}\mathrm{He}$ ground state and the first excited state; \ensuremath{\delta}\ensuremath{\epsilon} shows substantial structure as a function of $^{4}\mathrm{He}$ coverage.
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