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1.


    Lundin, A. A.
    Order dependence of the profile of the intensities of multiple-quantum coherences / A. A. Lundin, V. E. Zobov // J. Exp. Theor. Phys. - 2015. - Vol. 120, Is. 5. - P. 762-771, DOI 10.1134/S1063776115040093. - Cited References:62 . - ISSN 1063. - ISSN 1090-6509. -
РУБ Physics, Multidisciplinary
Рубрики:
PARAMAGNETIC SPIN SYSTEMS
   FREE-INDUCTION DECAY

   NMR-SPECTRA

   AUTOCORRELATION FUNCTIONS

   FLUCTUATION SPECTRUM

   TEMPERATURE DYNAMICS

   LINE-SHAPE

   SOLIDS

   IRREVERSIBILITY

   BEHAVIOR

Аннотация: A modification of the widespread phenomenological model theory of multiple-quantum (MQ) nuclear magnetic resonance spectra of a single cluster of correlated spins has been developed. In contrast to the mentioned theory, the size distribution of such clusters has been consistently taken into account. To obtain the distribution, solutions for the amplitudes of the expansion in the complete set of orthogonal operators are used. Expressions specifying the dependence of the profile of the intensities of MQ coherences on their number n (order) have been obtained. The total form of the dependence has been evaluated by means of the numerical implementation of the resulting expressions. The asymptotic expressions for large n values (wings of the spectrum) have been obtained analytically by the saddle-point method. It has been shown that the dependence under study has a Gaussian central part and exponential wings. The results obtained are in agreement with the previous calculations for some model systems and existing experimental data.

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Публикация на русском языке Лундин, Андрей Арнольдович. Зависимость профиля интенсивностей многоквантовых когерентностей от порядков [Текст] / А. А. Лундин, В. Е. Зобов // Журн. эксперим. и теор. физ. : Наука, 2015. - Т. 147 Вып. 5. - С. 885-895

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

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич
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2.


    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

Доп.точки доступа:
Lundin, A. A.; Зобов, Владимир Евгеньевич
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3.


    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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