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    Lundin, A. A.
    Asymptotic similarity of time correlation functions and shape of the 13C and 29Si NMR spectra in diamond and silicon / A. A. Lundin, V. E. Zobov // J. Exp. Theor. Phys. - 2018. - Vol. 127, Is. 2. - P. 305-315, DOI 10.1134/S1063776118080216. - Cited References: 47. - We thank V.A. Atsarkin, V.V. Demidov, F.S. Dzheparov, and E. B. Feldman for the discussion of our results. This work was supported by a subsidy allocated by the Institute of Chemical Physics of the Russian Academy of Science for the State assignment, theme 0082-2018-0005, code TSITIS AAAA-A18-118020690203. . - ISSN 1063-7761. - ISSN 1090-6509
Рубрики:
SPIN SYSTEMS
   LINE-SHAPES
   RELAXATION
   SOLIDS
   PARAMAGNETS
   RESONANCE
Аннотация: Based on the proposed theory, we have investigated the shape of the NMR absorption spectra for 13C and 29Si nuclei in diamond and silicon crystals attributable to the internuclear dipole–dipole interaction. In accordance with the available experimental data, we have considered both crystals with a 100% content of magnetoactive isotopes and crystals with a comparatively low dilution by nonmagnetic nuclei. The time correlation functions (the first of which is the Fourier transform of the NMR spectrum) arising in an infinite chain of coupled differential equations are shown to be mutually similar with a slight time delay. The proposed theory allows the spectrum to be calculated analytically. The results obtained agree satisfactorily with the experimental ones. It is noted that the mutual similarity of the time correlation functions is probably a corollary of the development of dynamical chaos in the system.

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Публикация на русском языке Лундин, Андрей Арнольдович. Асимптотическое подобие временных корреляционных функций и форма спектров ЯМР 13C и 29Si в алмазе и кремнии [Текст] / А. А. Лундин, В. Е. Зобов // Журн. эксперим. и теор. физ. - 2018. - Т. 154 Вып. 2. - С. 354–367

Держатели документа:
Russian Acad Sci, Semenov Inst Chem Phys, Vorobevskoe Sh 26, Moscow 117977, Russia.
Russian Acad Sci, Kirensky Inst Phys, Fed Res Ctr, Krasnoyarsk Sci Ctr,Siberian Branch, Akademgorodok 50, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Institute of Chemical Physics of the Russian Academy of Science [0082-2018-0005, TSITIS AAAA-A18-118020690203]
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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

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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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    Lundin, A. A.
    Decoherence-induced stabilization of the multiple-quantum NMR-spectrum width / A. A. Lundin, V. E. Zobov // Appl. Magn. Reson. - 2016. - Vol. 47, Is. 7. - P. 701-710, DOI 10.1007/s00723-016-0770-z. - Cited References:26 . - ISSN 0937-9347. - ISSN 1613-7507
   Перевод заглавия: Cтабилизация ширины многоквантового спектра ЯМР вследствие затухания

РУБ Physics, Atomic, Molecular & Chemical + Spectroscopy
Рубрики:
SIMULATIONS
   DYNAMICS
   SYSTEMS
   SOLIDS
Аннотация: The time dependence of an increase in the number of correlated spins in cluster was calculated for a particular variant of multiple-quantum (MQ) nuclear magnetic resonance spectroscopy using an effective two-quantum Hamiltonian that includes conventional secular nuclear dipole-dipole interaction as a weak perturbation at the stage of correlation preparation. It was shown that the cluster size grows steadily, while the width of the MQ spectrum stabilizes because the decay rates of the spectral components located at different areas of the MQ spectrum are different. The MQ bandwidth was also calculated as a function of the preparation time for various perturbation strengths. The results obtained are in excellent agreement with the experimental data reported in Alvarez and Suter (Phys Rev A 84:012320, 2011).

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Держатели документа:
Russian Acad Sci, Semenov Inst Chem Phys, Ul Kosygina 4, Moscow 117977, Russia.
Russian Acad Sci, Kirensky Inst Phys, Siberian Branch, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич
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Zobov, V. E.
Dependence of the relaxation rate of coherent states on the number of correlated spins and the order of coherence / V. E. Zobov, A. A. Lundin // JETP Lett. - 2023. - Vol. 117, Is. 12. - P. 932-937, DOI 10.1134/S0021364023601525. - Cited References: 29. - This work was supported by the Ministry of Science and Higher Education of the Russian Federation (state assignment no. 122040500060-4) . - ISSN 0021-3640. - ISSN 1090-6487
Аннотация: The relaxation of the components of the multiple-quantum NMR spectrum of a solid under the effect of the dipole–dipole interactions during the evolution period is considered. It is taken into account that clusters of dynamically correlated spins of different sizes are formed in the preparatory period, and their degradation depends on their size and coherence order. To calculate the size distribution function of clusters and their degradation function, a physical model including relaxation processes is developed. Using this model, an analytical result for a multiple-quantum spectrum is obtained. Agreement is obtained between the theoretical and experimental dependences of the coherence degradation rates in adamantane scaled by the square root of the average cluster size. The parameters of the above functions are found from the comparison of these dependences.

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Публикация на русском языке Зобов, Владимир Евгеньевич. Зависимость скорости релаксации когерентных состояний от числа коррелированных спинов и порядка когерентности [Текст] / В. Е. Зобов, А. А. Лундин // Письма в ЖЭТФ. - 2023. - Т. 117 Вып. 12. - С. 929-934

Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC, 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.
    Effect of degradation processes caused by a small perturbation on the growth of the average cluster size of correlated spins in multiple quantum NMR spectroscopy of solids / V. E. Zobov, A. A. Lundin // Appl. Magn. Reson. - 2021. - Vol. 52. Is. 7. - P. 879–892, DOI 10.1007/s00723-021-01342-1. - Cited References: 33. - The study is funded by the Ministry of Science and Higher Education of the Russian Federation in the framework of the State assignment, State registration number AAAA-A19-119012890064-7 . - ISSN 0937-9347
   Перевод заглавия: Влияние процессов деградации, вызванных малым возмущением, на рост среднего размера кластера коррелированных спинов в многоквантовой ЯМР спектроскопии твердых тел
Кл.слова (ненормированные):
Nuclear magnetic resonance spectroscopy -- Average size -- Cluster sizes -- Degradation process -- Multiple quantum NMR spectroscopy -- Orthogonal operators -- Over-complete -- Small perturbations -- Velocity ratio -- Cluster analysis
Аннотация: Multiple quantum (MQ) NMR spectroscopy of solids allows one to observe the growth and decay of multispin correlations. As a rule, the average size of the cluster of correlated spins is extracted from the width of the MQ spectrum. In the present article, the size distribution of such clusters is explored. To obtain the above distribution, the solutions for the amplitudes of the decomposition over complete sets of orthogonal operators for the two different models were used. By means of these models, we have taken into account the dependence of cluster degradation (the degradation of a cluster means, e.g., destruction of correlations in cluster or loss of particles in it) through two positions. The first one defines by the cluster size while the second one depends on the MQ coherence order of the cluster. It is shown that in dependence of the relation the rates of these degradation processes, the width of the MQ spectrum carries different information. If the first process is faster that the second one, then the width of the MQ spectrum is still determined by the average cluster size. When the velocity ratio becomes inverse, the width of the MQ spectrum takes on a smaller value, which is a consequence of the faster degradation of the MQ spectrum components with large orders of coherence.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 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.
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.
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

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

Zobov, V. E.
Multiple-quantum NMR spectral intensity profiles under decoherence effects / V. E. Zobov, A. A. Lundin // Modern Development of Magnetic Resonance : abstracts int. conf. / ed. Salikhov K. M. - Kazan, 2022. - P. 19. - Библиогр.: 4

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk
Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow

Доп.точки доступа:
Salikhov K. M. \ed.\; Lundin, A. A.; Зобов, Владимир Евгеньевич; "Modern Development of Magnetic Resonance", International conference(2022; 3-7 Oct. ; Kazan)
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