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On the Tunneling Resonance of Methyl-Protons at Low Temperature

In order to calculate the spin-lattice relaxation time T 1 of protons of CH 3 -group at low temperature, a model of relaxation which is available when γ H L τ r ≫1 has been proposed, where H L is the local dipolar field and τ r is the correlation time. Present calculation of T 1 is closely related to that of the absorption spectra of proton spins in which the non-secular part of the dipolar interaction is included. It is shown that the spin-lattice relaxation is caused by the non-magnetic Orbach process between the ground and first exited torsional states. Present model predicts that when the tunneling resonance occurs, T 1 is given by T 1 ≃τ r , which is different from the result of the second-order calculation and the Haupt theory. The absorption spectra at the tunneling resonance has also been calculated. The measurement of T 1 and absorption spectra at the tunneling resonance is useful to determine the precise value of the tunneling splitting.