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This paper is devoted to the multiple-quantum (MQ) NMR spectroscopy innanopores filled by a gas of spin-carrying molecules (s=1/2) in a strongexternal magnetic field. It turned out that the high symmetry of the spinsystem in nanopores yields a possibility to overcome the problem of theexponential growth of the Hilbert space dimension with an increase in thenumber of spins and to investigate MQ NMR dynamics in systems consisting ofseveral hundred spins. We investigate the dependence of the MQ coherenceintensities on their order (the profile of the MQ coherence intensities) for aspin system governed by the standard MQ NMR Hamiltonian (the nonseculartwo-quantum/two-spin Hamiltonian) together with the second order correction ofthe average Hamiltonian theory. It is shown that the profile depends on thevalue of this correction and varies from the exponential to the logarithmicone.

Multiple quantum NMR of spin-carrying molecules in nanopores: high order corrections to the two-spin/two-quantum Hamiltonian