On the Tunneling Resonance of Methyl-Protons at Low Temperature

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  • On the Tunneling Resonance of Methyl Pr

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In order to calculate the spin-lattice relaxation time T1 of protons of CH3-group at low temperature, a model of relaxation which is available when γHLτr>>1 has been proposed, where HL is the local dipolar field and τr is the correlation time. Present calculation of T1 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, T1 is given by T1\simeqτr, 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 T1 and absorption spectra at the tunneling resonance is useful to determine the precise value of the tunneling splitting.

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