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Zobov, V. E.
Modeling multiparticle coherences in solid-state nuclear spin systems using infinite-range interaction / V. E. Zobov, A. A. Lundin // Theor. Math. Phys. - 2004. - Vol. 141, Is. 3. - P. 1737-1749, DOI 10.1023/B:TAMP.0000049765.41265.dd. - Cited References: 24 . - ISSN 0040-5779

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
MULTIPLE-QUANTUM DYNAMICS
   NMR-SPECTRA
   TEMPERATURE DYNAMICS
   SHAPE
   VAN
Кл.слова (ненормированные):
multipulse method -- dipole-dipole interaction -- multispin coherence -- time correlation function -- rotating reference frame -- dipole-dipole interaction -- multipulse method -- multispin coherence -- rotating reference frame -- time correlation function
Аннотация: Using the exactly solvable model known in statistical physics as the infinite-range interaction model (the van der Waals model), we obtain expressions for the hierarchy of multispin multiquantum time correlation functions for a solid-state paramagnetic nuclear spin system with magnetic dipole-dipole interaction between nuclei. These functions are observed experimentally using contemporary multiquantum NMR spectroscopy methods. We write the complete set of orthogonal multispin operators explicitly and find the time dependence for amplitudes of multiparticle time correlation functions. The proposed model describes the behavior of multiparticle correlation functions well, at least for not very large numbers n of expansion harmonics. The theoretical results agree well with the experimental data obtained for hexamethylbenzol.

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Держатели документа:
RAS, Siberian Branch, Kirenskii Inst Phys, Krasnoyarsk, Russia
RAS, NN Semenov Chem Phys Inst, Moscow, Russia
ИФ СО РАН
Kirenskii Institute for Physics, Siberian Branch, RAS, Krasnoyarsk, Russia, Russian Federation
Semenov Inst. for Chemical Physics, RAS, Moscow, Russia, Russian Federation

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Lundin, A. A.; Зобов, Владимир Евгеньевич
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Zobov, V. E.
Second moment of multiple-quantum NMR and a time-dependent growth of the number of multispin correlations in solids / V. E. Zobov, A. A. Lundin // J. Exp. Theor. Phys. - 2006. - Vol. 103, Is. 6. - P. 904-916, DOI 10.1134/S1063776106120089. - Cited References: 39 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
NUCLEAR-MAGNETIC-RESONANCE
   LINE-SHAPE
   SPIN SYSTEMS
   DYNAMICS
   SPECTRA
   COHERENCES
   STATE
   BEHAVIOR
   CRYSTAL
   MODEL
Кл.слова (ненормированные):
Correlation methods -- Mathematical models -- Nuclear magnetic resonance spectroscopy -- Spectrum analysis -- Time series analysis -- Four-spin time correlation -- Multispin correlations -- Second moment -- Time power series -- Quantum theory
Аннотация: The time evolution of multispin correlations (the growth of the number of correlated spins as a function of time) can be observed directly using the multiple-quantum nuclear magnetic resonance spectroscopy of solids. A quantity related to this number, namely, the second moment of the intensity distribution of coherences of different orders in the multiple-quantum spectrum can be calculated using the theory proposed in this work. An approach to the calculation of the four-spin time correlation function through which this moment is expressed is developed. The main sequences of contributions in the expansion of this function into a time power series are summed using the approximation of a large number of neighbors both for systems with a secular dipole-dipole interaction and for systems with a nonsecular effective interaction. An exponential dependence of is obtained. The value of is additionally calculated using an expansion in terms of orthogonal operators for three model examples corresponding to different limiting realizations of spin systems. It is shown that the results of the microscopic theory at least qualitatively agree with both the results obtained for model examples and experimental results obtained recently for adamantane.

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Держатели документа:
Russian Acad Sci, Siberian Div, Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Russian Acad Sci, Semenov Inst Chem Phys, Moscow 117977, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, 117977, Russian Federation

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
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Zobov, V. E.
On the Second Moment of the Multiquantum NMR Spectrum of a Solid / V. E. Zobov, A. A. Lundin // Russ. J. Phys. Chem. B. - 2008. - Vol. 2, Is. 5. - P. 676-683, DOI 10.1134/S1990793108050035. - Cited References: 39 . - ISSN 1990-7931

РУБ Physics, Atomic, Molecular & Chemical
Рубрики:
MULTIPLE-QUANTUM NMR
   DEPENDENT BEHAVIOR
   MAGNETIC-MOMENTS
   SPIN CLUSTERS
   LINE-SHAPE
   DYNAMICS
   COHERENCES
   SYSTEMS
   CRYSTAL
   GROWTH
Аннотация: New experimental data on the time dependence of an increase in the number of correlated spins under the conditions of the observation of the multiquantum NMR spectrum of a solid are processed on the basis of a microscopic theory for describing the growth of the second moment of multiquantum NMR developed by us earlier. As follows from the theory, the growth is an exponential function of time for crystals with quite diverse structures. The results are discussed on the basis of semiphenomenological models.

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Держатели документа:
[Zobov, V. E.] Russian Acad Sci, Siberian Branch, Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Lundin, A. A.] Russian Acad Sci, NN Semenov Chem Phys Inst, Moscow 117977, Russia
ИФ СО РАН

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Lundin, A. A.; Зобов, Владимир Евгеньевич
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Зобов, Владимир Евгеньевич.
О втором моменте многоквантового спектра ЯМР твердого тела / В. Е. Зобов, А. А. Лундин // Химическая физика. - 2008. - Т. 27, № 9. - С. 18-25 . - ISSN 0207-401X

ГРНТИ

31.15

Аннотация: Новые экспериментальные данные о зависимости роста числа коррелированных спинов от времени в условиях наблюдения многоквантового ЯМР в твердом теле обработаны на основе развитой нами ранее микроскопической теории для описания роста второго момента спектра многоквантового ЯМР. Показано, что, как и следует из теории, рост экспоненциален в зависимости от времени для кристаллов с совершенно различными структурами. Полученные результаты обсуждаются на основе полуфеноменологических моделей.

РИНЦ
Держатели документа:
Институт физики им. Л.В. Киренского Сибирского отделения Российской академии наук, Красноярск
Институт химической физики им. Н.Н. Семенова Российской академии наук, Москва

Доп.точки доступа:
Лундин, Андрей Арнольдович; Lundin A. A.; Zobov, V. E.
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Zobov, V. E.
Effect of intramolecular interaction on time growth of second moment of multiple quantum NMR in solids / V. E. Zobov, A. A. Lundin // INTERNATIONAL CONFERENCE ON RESONANCES IN CONDENSED MATTER: ALTSHULER100. Ser. Journal of Physics Conference Series : IOP PUBLISHING LTD, 2011. - Vol. 324: International Conference on Resonances in Condensed Matter (JUN 21-25, 2011, Kazan, RUSSIA). - Ст. 12010, DOI 10.1088/1742-6596/324/1/012010. - Cited References: 12 . - ISBN 1742-6588

РУБ Physics, Condensed Matter
Рубрики:
COHERENCES
DYNAMICS
Кл.слова (ненормированные):
Dipole dipole interactions -- Double-quantum -- Intramolecular interactions -- Multiple quantum NMR -- Nuclear spin system -- Quantum spectrum -- Rate increase -- Second moments -- Solids containing methyl groups -- Time dependence -- Functional groups -- Quantum optics -- Solids -- Spin dynamics -- Hamiltonians
Аннотация: The time dependence of the NMR multiple quantum spectrum in solids containing methyl groups is investigated. We studied both of types of the nuclear spin systems: namely linking by secular part of the mutual dipole-dipole interaction and linking by effective double quantum Hamiltonian. It is revealed for the first type of systems the rate with the time of the growing up of the second moment when intramolecular interaction is present becomes less in compare with situation when a strong intramolecular interaction is absent. On the contrary for the second type of Hamiltonian the above rate increases.

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Держатели документа:
[Zobov, V. E.] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
ИФ СО РАН
L.V. Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, 660036, Krasnoyarsk, Russian Federation
N.N. Semenov Institute of Chemical Physics, RAS, 117977, Moscow, Russian Federation

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
}
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Effect of intramolecular interaction on Time Growth of Second Moment of Multiple-Quantum NMR in Solids [Text] / V. E. Zobov, A. A. Lundin // Int. Conf. "Resonances in Condensed Matter" : Book of abstracts. - 2011. - PTh06

Доп.точки доступа:
Zobov, V.E.; Lundin, A.A.; "Resonances in Condensed Matter", International Conference(2011 ; Jun. ; 21-25 ; Kazan, Russia)
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Zobov, V. E.
Decay of Multispin Multiple-Quantum Coherent States in the NMR of a Solid and the Stabilization of Their Intensity Profile with Time / V. E. Zobov, A. A. Lundin // J. Exp. Theor. Phys. - 2011. - Vol. 113, Is. 6. - P. 1006-1014, DOI 10.1134/S1063776111140111. - Cited References: 27 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary

Кл.слова (ненормированные):
Cluster sizes -- Coherent state -- Decay rate -- Effective size -- Experimental data -- Intensity profiles -- Coherent light -- Decay (organic) -- Stabilization
Аннотация: Variations, experimentally observed in [14], in the intensity profiles of multiple-quantum (MQ) coherences in the presence of two special types of perturbations are explained on the basis of the theory, earlier developed by the authors, of the growth of the effective size of correlated clusters (the number of correlated spins) and the relaxation of MQ coherent states [23]. The intensity and the character of perturbation were controlled by the experimenters. It is shown that the observed stabilization of profiles with time is not associated with the stabilization of the cluster size. Quite the contrary, a cluster of correlated spins monotonically grows, while the observed variations in the intensity profile and its stabilization with time are attributed to the dependence of the decay rate of an MQ coherence on its order (its position in the MQ spectrum). The results of the theory are in good agreement with the experimental data.

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Держатели документа:
[Zobov, V. E.] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
[Lundin, A. A.] Russian Acad Sci, NN Semenov Chem Phys Inst, Moscow 117977, Russia
ИФ СО РАН
Kirensky Institute of Physics, Russian Academy of Sciences, Siberian Branch, Krasnoyarsk, 660036, Russian Federation
Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, 117977, Russian Federation

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
}
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Zobov, V. E.
Decay of multispin multiquantum coherent states in the NMR of a solid / V. E. Zobov, A. A. Lundin // J. Exp. Theor. Phys. - 2011. - Vol. 112, Is. 3. - P. 451-459, DOI 10.1134/S1063776111020129. - Cited References: 24 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
SYSTEMS
SPECTRA
Кл.слова (ненормированные):
Adiabatic approximations -- Andersons -- Coherent state -- Dynamic phenomena -- Experimental data -- Local fields -- Model-based -- Radiospectroscopy -- Relaxation functions -- Spin precession -- Theoretical result -- Two-component -- Coherent light
Аннотация: A model based on the Anderson adiabatic approximation, which is widely used for describing various aspects of dynamic phenomena in conventional radiospectroscopy, is proposed for describing the decay of multispin multiquantum coherent states in a solid. The coherent state relaxation function is represented by the product of two functions corresponding to spin precession in a two-component local field with a correlated and an uncorrelated component. Theoretical results of this study explain the experimental data reported in a number of publications and are in good agreement with these data.

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Держатели документа:
[Zobov, V. E.] Russian Acad Sci, Kirenskii Inst Phys, Siberian Branch, Krasnoyarsk 660036, Russia
[Lundin, A. A.] Russian Acad Sci, NN Semenov Chem Phys Inst, Moscow 117977, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk 660036, Russian Federation
Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow 117977, Russian Federation

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
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Zobov, V. E.
Quantum and classical correlations in the solid-state NMR free induction decay / V. E. Zobov, A. A. Lundin // Appl. Magn. Reson. - 2014. - Vol. 45, Is. 11. - P. 1169-1177, DOI 10.1007/s00723-014-0562-2. - Cited References: 16 . - ISSN 0937-9347. - ISSN 1613-7507

РУБ Physics, Atomic, Molecular & Chemical + Spectroscopy
Рубрики:
LATTICE
SPINS
Аннотация: The free induction decay (FID) of the transverse magnetization in a dipolar-coupled rigid lattice is a fundamental problem in magnetic resonance and in the theory of many-body systems. As it was shown earlier the FID shapes for the systems of classical magnetic moments and for quantum nuclear spin ones coincide if there are many nearly equivalent nearest neighbors n in a solid lattice. In this paper, we reduce a multispin density matrix of above system to a two-spin matrix. Then we obtain analytic expressions for the mutual information and the quantum and classical parts of correlations at the arbitrary spin quantum number S, in the high-temperature approximation. The time dependence of these functions is expressed via the derivative of the FID shape. To extract classical correlations for S 1/2 we provide generalized POVM measurement (positive-operator-valued measure) using the basis of spin coherent states. We show that in every pair of spins the portion of quantum correlations changes from 1/2 to 1/(S + 1) when S is growing up, and quantum properties disappear completely only if S → ∞.

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Держатели документа:
RAS, Siberian Branch, LV Kirensky Inst Phys, Krasnoyarsk 660036, Russia
RAS, NN Semenov Inst Chem Phys, Moscow 117977, Russia

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
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10.

Zobov, V. E.
Quantum and classical correlations in the solid-state NMR free induction decay / V. E. Zobov, A. A. Lundin // International Conference Magnetic Resonance: Fundamental Research and Pioneering Applications : Book of abstracts. - 2014. - Ст. P 77. - P. 160. - Cited References: 16
Аннотация: The free induction decay (FID) of the transverse magnetization in a dipolar-coupled rigid lattice is a fundamental problem in magnetic resonance and in the theory of many-body systems. As it was shown earlier the FID shapes for the systems of classical magnetic moments and for quantum nuclear spin ones coincide if there are many nearly equivalent nearest neighbors n in a solid lattice. In this paper, we reduce a multispin density matrix of above system to a two-spin matrix. Then we obtain analytic expressions for the mutual information and the quantum and classical parts of correlations at the arbitrary spin quantum number S, in the high-temperature approximation. The time dependence of these functions is expressed via the derivative of the FID shape. To extract classical correlations for S 1/2 we provide generalized POVM measurement (positive-operator-valued measure) using the basis of spin coherent states. We show that in every pair of spins the portion of quantum correlations changes from 1/2 to 1/(S + 1) when S is growing up, and quantum properties disappear completely only if S → ∞.

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Lundin, A. A.; Зобов, Владимир Евгеньевич
}
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