The “Cascade” Narrowing of the NMR Line in Solids by Radio-Frequency Fields and Slow Molecular Motions

Mefed, A. E.; Ацаркин, В. А.

doi:10.1002/pssa.2210930156

Cited by 9 publications

(7 citation statements)

References 5 publications

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“…Note that the FID shape in Fig. 3 is similar to that observed in the RF (0, = aim) in the same sample [9] as well as in a CaF2 single crystal [4]. (Fig.…”

Section: Experimental Examplessupporting

confidence: 52%

“…In this situation, the effective Hamiltonian of residual secular DD interactions in the RF reveals qualitatively new properties, namely it is determined by the product of spin operators of three nuclei [2] (unlike two-spin operators in the initial DD Hamiltonian [3] ). This peculiarity causes some consequences concerning spin thermodynamics [1], spin [4][5][6][7] and molecular dynamics [8,9], and so on. The next step was to record NMR and longitudinal relaxation in the effective magnetic field HH2 acting in the doubly rotating frame (DRF) [10].…”

Section: Introductionmentioning

confidence: 99%

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Spectrometer for studying NMR and relaxation in the doubly rotating frame

Mefed

1999

Appl. Magn. Reson.

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A spectrometer is described that ensures observation of NMR and relaxation in the effective field H2 acting in the doubly rotating frame (DRF). Unlike conventional NMR spectrometers, the presented apparatus allows the investigation of nuclear spin dynamics and relaxation under conditions of the specially transformed effective multispin dipole-dipole interaction Hamiltonian not studied up to now. The setup is a modified version of the previously described spectrometer for direct recording of NMR in the effective field H,1 in the singly rotating frame (RF), all its operating functions being retained. The new version of the apparatus is designed for the study of NMR and, especially, spin relaxation of 'H and 19F nuclei in solids under the magic-angle conditions in both the RF and the DRF. It enables one to obtain NMR spectra and longitudinal and transverse nuclear relaxation kinetics in the DRF field H,2 directly in their final form. In all operating modes, the apparatus is coherent with respect to the NMR frequency in the laboratory frame. In transient modes, it is also coherent with respect to the NMR frequencies in both the RF and the DRF. In all cases the NMR signals are recorded continuously during a single-scan experiment, as a rule not exceeding 1 s. The sensitivity and resolution capability of the spectrometer are superior to those of the starting one. In particular modes, its sensitivity is comparable with that of conventional NMR spectrometers. The apparatus enables one to investigate in detail slow molecular motions in solids with rates -7H,2 -103-105 s-' and = 7H, 1 -1 O-1 fl7 s -'; various motion parameters, including multiparticle correlations as well as a motion mechanism, can be extracted from the experimental data.

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“…Note that the FID shape in Fig. 3 is similar to that observed in the RF (0, = aim) in the same sample [9] as well as in a CaF2 single crystal [4]. (Fig.…”

Section: Experimental Examplessupporting

confidence: 52%

Section: Introductionmentioning

confidence: 99%

Spectrometer for studying NMR and relaxation in the doubly rotating frame

Mefed

1999

Appl. Magn. Reson.

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“…The ultraslow-motion term originating from H ER 0 produces an ascending branch in the 1/T 2 dispersion curve that causes a minimum at c Ϸ 1/ L . Equation [6] has been confirmed by numerical simulation and experimental results (22).…”

Section: Theorymentioning

confidence: 60%

The Spin Coherence Relaxation in the Rotating Frame as a Microscopy Parameter for Strongly Coupled Spin Systems

Luca

Vita

Raza³

et al. 1999

Journal of Magnetic Resonance

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“…Equations ( 12)- (15) show that the degeneracy of the energy spectrum is removed, without a DC magnetic field, just by application of two RF fields with different phases and directions. The energy levels E s correspond to the eigenstates of the quantum system described by the effective Hamiltonian H ef f |ζ s = E s |ζ s , where the |ζ s are the eigenfunctions with s = 0, 1, 2, 3.…”

Section: Energy Spectrummentioning

confidence: 99%

Two qubits in pure nuclear quadrupole resonance

Furman¹,

Goren²,

Meerovich³

2002

J. Phys.: Condens. Matter

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It is shown theoretically that by the use of two radio-frequency fields of the same resonance frequency but with the different phases and directions the degeneracy of the energy spectrum of a spin system with I = 3/2 is removed. This leads to four non-degenerate spin states which can be used as a platform for quantum computing. The feasibility of quantum computing based on a pure (without DC magnetic fields) nuclear quadrupole resonance technique is investigated in detail. Various quantum logic gates can be constructed by using different excitation techniques allowing different manipulations with the spin system states. Three realizations of quantum logic gates are considered: the application of an additional magnetic field with the resonance frequency, the amplitude modulation of one of the applied RF fields by the resonance frequency field, and the level-crossing method. It is shown that the probabilities of the resonance transitions depend on the method of excitation and on the direction of the excitation field. Feasibility of quantum computing is demonstrated with the examples of constructing a controlled-NOT logic gate using the resonance excitation technique and SWAP and NOT2 logic gates using the level-crossing method.

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The “Cascade” Narrowing of the NMR Line in Solids by Radio-Frequency Fields and Slow Molecular Motions

Abstract: It is well known that moiecular motions in solids can b e monitored by their effect on the NMR linewidth or the transverse relaxation time T2 on the condition that 1) prospekt K a r h M:rrlis:~, 1 % 907 Moscow GSp-3, USSR.

Cited by 9 publications

References 5 publications

Spectrometer for studying NMR and relaxation in the doubly rotating frame

Spectrometer for studying NMR and relaxation in the doubly rotating frame

The Spin Coherence Relaxation in the Rotating Frame as a Microscopy Parameter for Strongly Coupled Spin Systems

Two qubits in pure nuclear quadrupole resonance

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