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The temperature dependence of $^1$H and $^{13}$C nuclear spin-latticerelaxation rate $1/T_1$ has been studied in the 1.6 K - 4.2 K temperature rangein pure pyruvic acid and in pyruvic acid containing trityl radicals at aconcentration of 15 mM. The temperature dependence of $1/T_1$ is found tofollow a quadratic power law for both nuclei in the two samples. Remarkably thesame temperature dependence is displayed also by the electron spin-latticerelaxation rate $1/T_{1e}$ in the sample containing radicals. These results areexplained by considering the effect of the structural dynamics on therelaxation rates in pyruvic acid. Dynamic nuclear polarization experiments showthat below 4 K the $^{13}$C build up rate scales with $1/T_{\text{1e}}$, inanalogy to $^{13}$C $1/T_1$ and consistently with a thermal mixing scenariowhere all the electrons are collectively involved in the dynamic nuclearpolarization process and the nuclear spin reservoir is in good thermal contactwith the electron spin system.

Role of the glassy dynamics and thermal mixing in the dynamic nuclear polarization and relaxation mechanisms of pyruvic acid