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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Sorokin P.B., Avramov P.V., Demin V.A., Chernozatonskii L.A.
Заглавие : Beta-phase silicon nanowires: structure and properties
Коллективы : "Fullerenes and Atomic Clusters", Biennial International Workshop
Место публикации : 9th Biennial International Workshop "Fullerenes and Atomic Clusters" (IWFAC 2009): July 6-10, 2009, St Petersburg, Russia : abstracts. - 2009. - Ст.P4.4. - С. 99
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Antonova A.B., Johansson A.A., Deykhina N.A., Pogrebnyakov D.A., Pavlenko N.I., Rubaylo A.I., Dolgushin F.M., Petrovskii P.V., Ginzburg A.G.
Заглавие : Chemistry of vinylidene complexes. XIII. The reaction between Cp(CO)2MnPt(?-C=CHPh)(?2-dppm) and Fe2(CO)9: Simultaneous formation of the ?3-vinylidene MnFePt and ?4-vinylidene PtFe3 clusters. Crystal structure of (?5-C5H5)MnFePt(? 3-C=CHPh)(CO)6.
Место публикации : Journal of Organometallic Chemistry. - 1999. - Т. 577, № 2. - P.238-242. - ISSN 0022-328X
ГРНТИ : 31.17
РИНЦ
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Antonova A.B., Chudin O.S., Pavlenko N.I., Sokolenko W.A., Rubaylo A.I., Vasiliev A. D., Semeikin O.V.
Заглавие : Chemistry of vinylidene complexes. XVIII. Synthesis and molecular structure of the novel trinuclear mu(3)-vinylidene complex CpReFePt(mu(3)-C=CHPh)(CO)(6)(PPh(3))
Место публикации : J. Organomet. Chem. - 2009. - Vol. 694, Is. 1. - P.127-130. - ISSN 0022-328X, DOI 10.1016/j.jorganchem.2008.08.037
Примечания : Cited Reference Count: 17. - Гранты: This work was supported by the Council of the Russian Federation President for Support of Young Scientists and Leading Scientific Schools (Project No. NSch-4137.2006.2) and the Krasnoyarsk Regional Science Foundation (Grants 10TS145 and 17G002).Финансирующая организация: Council of the Russian Federation President for Support of Young Scientists and Leading Scientific Schools [NSch-4137.2006.2]; Krasnoyarsk Regional Science Foundation [10TS145, 17G002]
Предметные рубрики: CLUSTERS
CRYSTAL
MNFEPT
Ключевые слова (''Своб.индексиров.''): vinylidene complexes--heterometallic clusters--rhenium--iron--platinum--crystal structure--crystal structure--heterometallic clusters--iron--platinum--rhenium--vinylidene complexes--atomic physics--atoms--bond length--chemical bonds--coordination reactions--crystal structure--iron compounds--nuclear magnetic resonance--nuclear magnetic resonance spectroscopy--platinum--quantum chemistry--rhenium--rhenium compounds--bond angles--co groups--double bonds--fe atoms--heterometallic--heterometallic clusters--pt atoms--trimetallic--vinylidene complexes--x-ray diffractions--platinum compounds
Аннотация: The interaction between Cp(CO)(2)RePt(mu-C=CHPh)(PPh(3))(2) (1) and Fe(2)(CO)(9) afforded the new heterometallic mu(3)-vinylidene cluster CpReFePt(mu(3)-C=CHPh)(CO)(6)(PPh(3)) (2). An X-ray diffraction study shows the complex 2 possesses a trimetallic Re-Fe-Pt chain core. The bond lengths are Re-Fe 2.8221(8), Fe-Pt 2.5813(8) angstrom; the Re center dot center dot center dot Pt distance is 3.3523(7) angstrom; the bond angle Re-Fe-Pt is 76.55(3)degrees. The mu(3)-C=CHPh ligand is eta(1)-bound to the Re and Pt atoms and eta(2)-coordinated to the Fe atom. The C=C bond length is 1.412(4) angstrom. The Pt atom is coordinated by the PPh(3) and CO groups. Complex 2 is characterized by the IR and (1)H, (13)C and (31)P NMR spectra. (C) 2008 Elsevier B.V. All rights reserved.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Verpekin V. V., Kondrasenko A. A., Chudin O. S., Vasiliev A. D., Burmakina G. V., Pavlenko N. I., Rubaylo A. I.
Заглавие : Chemistry of vinylidene complexes. XXIII. Binuclear rhenium-palladium vinylidene bridged complexes, their reactions with diiron nonacarbonyl
Место публикации : J. Organomet. Chem.: Elsevier Science, 2014. - Vol. 770. - P.42-50. - ISSN 0022-328X, DOI 10.1016/j.jorganchem.2014.07.024. - ISSN 1872-8561
Примечания : Cited References: 56. - This article is dedicated to the memory of Alla B. Antonova.
Предметные рубрики: TRANSITION-METAL-COMPLEXES
CATIONIC CARBYNE COMPLEXES
RAY CRYSTAL-STRUCTURE
MOLECULAR-STRUCTURE
HETEROBIMETALLIC COMPLEXES
LIGANDS
MANGANESE
CLUSTERS
DINUCLEAR
PD2CL2(MU-PH2PCH2PPH2)2
Ключевые слова (''Своб.индексиров.''): rhenium--palladium--iron--vinylidene complexes--heterometallic complexes
Аннотация: The reaction of [Cp(CO)2ReCCHPh] (1) with [Pd(PPh3)4] followed by the treatment of resulting [Cp(CO)2RePd(μ-CCHPh)(PPh3)2] (2) with diphosphines (dppe, dppp) gave new complexes [Cp(CO)2RePd(μ-CCHPh)(dppe)] (3) and [Cp(CO)2RePd(μ-CCHPh)(dppp)] (4). Treatment of the synthesized complexes with [Fe2(CO)9] led to mixtures of [Cp(CO)2ReFe(μ-CCHPh)(CO)4] (5), [(dppe)PdFe2(CO)8] (6), [CpReFe2(μ3-CCHPh)(CO)8] (7), [CpReFePd(μ3-CCHPh)(CO)5(dppe)] (8) and of 5, [(dppp)PdFe2(CO)8] (9), [CpReFePd(μ3-CCHPh)(CO)5(dppp)] (10), respectively. The main products of both reactions were trinuclear μ3-vinylidene clusters 8 and 10. Reactions of the trinuclear μ3-vinylidene ReFePd clusters 8 and 10 with Fe2(CO)9 were also studied. New complexes were characterized by IR, 1H, 13C, 31P NMR spectroscopy and cyclic voltammetry. The structure of [CpReFe2(μ3-CCHPh)(CO)8] was determined by single-crystal X-ray diffraction.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gorban A., Popova T., Zinovyev A.
Заглавие : Codon usage trajectories and 7-cluster structure of 143 complete bacterial genornic sequences
Разночтения заглавия :авие SCOPUS: Codon usage trajectories and 7-cluster structure of 143 complete bacterial genomic sequences
Место публикации : Physica A: ELSEVIER SCIENCE BV, 2005. - Vol. 353. - P365-387. - ISSN 0378-4371, DOI 10.1016/j.physa.2005.01.043
Примечания : Cited References: 46
Предметные рубрики: DNA-BASE COMPOSITION
ASYMMETRIC SUBSTITUTION PATTERNS
PROTEIN-CODING REGIONS
MICROBIAL GENOMES
GENE IDENTIFICATION
MARKOV-MODELS
G+C CONTENT
BIAS
PREDICTION
SELECTION
Ключевые слова (''Своб.индексиров.''): genome--cluster--codon usage--correlations--entropy--mean field--cluster--codon usage--correlations--entropy--genome--mean field--approximation theory--correlation methods--database systems--entropy--functions--genes--mathematical models--clusters--codon usage--genomes--mean field--bacteria
Аннотация: Three results are presented. First, we prove the existence of a universal 7-cluster structure in all 143 completely sequenced bacterial genomes available in Genbank in August 2004, and explained its properties. The 7-cluster structure is responsible for the main part of sequence heterogeneity in bacterial genomes. In this sense, our 7 clusters is the basic model of bacterial genome sequence. We demonstrated that there are four basic "pure" types of this model, observed in nature: "parallel triangles", "perpendicular triangles", degenerated case and the flower-like type. Second, we answered the question: how big are the position-specific information and the contribution connected with correlations between nucleotide. The accuracy of the mean-field (context-free) approximation is estimated for bacterial genomes. We show that codon us-age of bacterial genomes is a multi-linear function of their genomic G+C-content with high accuracy (more precisely, by two similar functions, one for eubacterial genomes and the other one for archaea). Description of these two codon-usage trajectories is the third result. All 143 cluster animated 3D-scatters are collected in a database and is made available on our web-site: http://www.ihes.fr/similar to zinovyev/7clusters. (c) 2005 Elsevier B.V. All rights reserved.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aver'yanov E. M.
Заглавие : Dimension of mesogenic molecules as atomic clusters
Место публикации : Phys. Solid State: AMER INST PHYSICS, 2005. - Vol. 47, Is. 2. - P378-389. - ISSN 1063-7834, DOI 10.1134/1.1866424
Примечания : Cited References: 19
Предметные рубрики: LIQUID-CRYSTAL CHEMISTRY
ORIENTATIONAL ORDER
TRANSITION
Аннотация: The problem regarding the mass dimension D of mesogenic molecules as atomic clusters is formulated and solved using computer simulation and analytical calculations. For a large number of compounds belonging to different chemical classes, it is shown that the cores of discotic lacunar (rodlike, lathlike) molecules forming nematic or columnar discotic (calamitic) phases have a fractional dimension 1 D-c 2 (D-c approximate to 1). The dependences of the dimension D-c on the symmetry, the conformation, and the structural-chemical features of the molecular core are determined. It is demonstrated that, in the region of side flexible chains in molecules of both types, the dimension D-ch can be either smaller or larger than unity, depending on the chain conformation. An analytical expression accounting for the results of numerical experiments is obtained for the dimension D-ch. (C) 2005 Pleiades Publishing, Inc.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseyev K. N., Berman G. P., Tsifrinovich V. I., Frishman A. M.
Заглавие : Dynamic chaos in magnetic systems
Место публикации : Uspekhi Fiz. Nauk. - 1992. - Vol. 162, Is. 7. - P.81-118. - ISSN 0042-1294
Примечания : Cited References: 99
Предметные рубрики: CLASSICAL SPIN CLUSTERS
YTTRIUM-IRON-GARNET
PARALLEL-PUMPED MAGNONS
NON-LINEAR SYSTEMS
QUANTUM CHAOS
FAT FRACTALS
FERROMAGNETIC (CH3NH3)2CUCL4
NONLINEAR DYNAMICS
LEVEL REPULSION
KICKED TOP
Аннотация: A review of the theoretical and experimental investigations of chaos in magnetic systems is represented. Both dissipative and Hamiltonian systems are considered. Basic scenarios of transitions to chaos in such systems are overlooked. Models and characteristics of chaotic oscillations in a parametric excitation of spin waves. NMR-masers, dynamics of spin chains, motion of spin in an external oscillating magnetic field and nonlinear NMR with a dynamic frequency shift are discussed. A problem of the quantum chaos in spin systems is analysed.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ershov A. E., Isaev I. L., Semina P. N., Markel V. A., Karpov S. V.
Заглавие : Effects of size polydispersity on the extinction spectra of colloidal nanoparticle aggregates
Место публикации : Phys. Rev. B: American Physical Society, 2012. - Vol. 85, Is. 4. - Ст.045421. - P. - ISSN 1098-0121, DOI 10.1103/PhysRevB.85.045421
Примечания : Cited References: 41. - This work was supported by grants from the following foundations of the Russian Federation: Presidium of RAS, OFN RAS, and SB RAS.
Предметные рубрики: METAL FRACTAL CLUSTERS
OPTICAL-PROPERTIES
ABSORPTION
NONLINEARITIES
COMPOSITES
SCATTERING
PARTICLES
SPHERES
GRAINS
Аннотация: We investigate the effect of particle polydispersity on the optical extinction spectra of colloidal aggregates of spherical metallic (silver) nanoparticles, taking into account the realistic interparticle gaps caused by layers of stabilizing polymer adsorbed on the metal surface (adlayers). The spectra of computer-generated aggregates are computed using two different methods. The coupled-multipole method is used in the quasistatic approximation and the coupled-dipole method beyond the quasistatics. The latter approach is applicable if the interparticle gaps are sufficiently wide relative to the particle radii. Simulations are performed for two different particle size distribution functions (bimodal and Gaussian), varying the number of particles per aggregate, and different distribution functions of the interparticle gap width. The strong influence of the latter factor on the spectra is demonstrated and investigated in detail.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Markel V. A., Pustovit V. N., Karpov S. V., Obuschenko A. V., Gerasimov V. S., Isaev I. L.
Заглавие : Electromagnetic density of states and absorption of radiation by aggregates of nanospheres with multipole interactions
Место публикации : Phys. Rev. B: AMER PHYSICAL SOC, 2004. - Vol. 70, Is. 5. - Ст.54202. - ISSN 1098-0121, DOI 10.1103/PhysRevB.70.054202
Примечания : Cited References: 81
Предметные рубрики: DISCRETE-DIPOLE APPROXIMATION
ENHANCED RAMAN-SCATTERING
METAL FRACTAL CLUSTERS
OPTICAL-PROPERTIES
SELECTIVE PHOTOMODIFICATION
DISORDERED CLUSTERS
NUMERICAL-SIMULATION
SPECTRAL DEPENDENCE
PARTICULATE MATTER
LIGHT-SCATTERING
Ключевые слова (''Своб.индексиров.''): carbon--iron--palladium--silver--article--dipole--electromagnetic field--geometry--mathematical analysis--molecular interaction--nanoparticle--radiation absorption
Аннотация: We calculate the quasistatic electromagnetic density of states for aggregates of touching spheres, in particular, linear chains and computer-generated random fractal aggregates. Multipole moments with orders of up to L=64 are taken into account for random aggregates with the number of particles of up to N=100 and up to L=8000 for linear chains. Extensive comparisons with the dipole approximation and geometrical cluster renormalization method are performed. Extinction spectra are calculated for several metals and black carbon. Long wavelength electromagnetic properties of fractal aggregates are considered in details.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pavlov A. V., Kveglis L. I., Saprykin D. N., Nasibullin R. T., Kalitova A. A., Velikanov D. A., Nemtsev I. V., Kantai N.
Заглавие : Emergence of ferromagnetism in nanoparticles of BeTiO3 ceramic with the perovskite structure
Место публикации : Inorg. Mater.: Appl. Res. - 2021. - Vol. 12, Is. 1. - P.88-93. - ISSN 20751133 (ISSN), DOI 10.1134/S2075113321010330
Примечания : Cited References: 21. - The part of the work involving calculations was supported by the Russian Science Foundation (grant no. 18-19-00268)
Аннотация: Emergence of ferromagnetism and an increase in the electrical conductance of BeTiO3 beryllium ceramic with the perovskite structure were discovered experimentally. To explain the reason for appearance of the metallic properties, models are proposed, and calculations of the electronic structure of nanoclusters with different short-range order are performed.
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11.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Osipova I. V., Lopatin V. A., Vnukova N. G., Novikov P. V., Churilov G. N.
Заглавие : Emission spectroscopy as the main control method for carbon nanoparticles synthesis
Коллективы : "Fullerenes and Atomic Clusters", Biennial International Workshop
Место публикации : 9th Biennial International Workshop "Fullerenes and Atomic Clusters" (IWFAC 2009): July 6-10, 2009, St Petersburg, Russia : abstracts. - 2009. - Ст.P6.17. - С. 177
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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Stockman M. I., Shalaev V. M., Moskovits M., Botet R., George T. F.
Заглавие : Enhanced raman-scattering by fractal clusters - scale-invariant theory
Место публикации : Phys. Rev. B. - 1992. - Vol. 46, Is. 5. - P.2821-2830. - ISSN 0163-1829, DOI 10.1103/PhysRevB.46.2821
Примечания : Cited References: 22
Предметные рубрики: AGGREGATION
LIGHT
Аннотация: A scale-invariant theory of Raman scattering of light by fractal clusters is developed. The enhancement factor G(RS) of Raman scattering is shown to scale in terms of a properly chosen spectral variable X. The critical indices of the enhancement factor are found to be determined by the optical spectral dimension of the fractal. Numerical modeling is carried out and shown to support the analytical results obtained. The theory, which does not contain any adjustable parameters, agrees well with experimental data on surface-enhanced Raman scattering over a wide spectral range.
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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Myagkov V. G., Bykova L. E.
Заглавие : Fractal clusters and self-propagating high-temperature synthesis in thin Al/Ge films
Место публикации : JETP Letters. - 1998. - Vol. 67, Is. 5. - P.334-338. - ISSN 0021-3640, DOI 10.1134/1.567669
Примечания : Cited References: 14
Предметные рубрики: DENSE BRANCHING MORPHOLOGY
SINGLE-CRYSTAL GROWTH
AL-GE
PHASE-SEPARATION
Аннотация: Fractal clusters in amorphous thin films are examples of growth models. The main models are the Witten-Sander model and its modifications. It is believed that fractal patterns are formed in the course of the crystallization of an amorphous phase. It is shown that self-propagating high-temperature synthesis can be initiated in an Al/Ge film system and fractal patterns are formed in the reaction products. It is conjectured that the transition of an amorphous phase to a crystalline phase does not play a substantial role in the appearance of such patterns, while the formation of fractal clusters is determined by self-propagating high-temperature synthesis. (C) 1998 American Institute of Physics. [S0021-3640(98)00605-7].
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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Komogortsev S. V., Iskhakov R. S., Fel'k V. A.
Заглавие : Fractal Dimension Effect on the Magnetization Curves of Exchange-Coupled Clusters of Magnetic Nanoparticles
Коллективы : Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund [18-42-240006]
Место публикации : J. Exp. Theor. Phys. - 2019. - Vol. 128, Is. 5. - P.754-760. - ISSN 1063-7761, DOI 10.1134/S1063776119040095. - ISSN 1090-6509(eISSN)
Примечания : Cited References: 54. - This work was supported by Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund under the research project no. 18-42-240006.
Предметные рубрики: THIN-FILMS
COERCIVE FORCE
NANOCRYSTALLINE
SATURATION
FERROMAGNETS
Аннотация: The effect of the fractal dimension of exchange-coupled clusters of magnetic nanoparticles on their magnetization curves is predicted by scaling estimates. These predictions form the basis for the experimental technique used for determining the fractal dimension of nanoparticle clusters from the magnetization curves. We estimate the reliability of determining the dimension by such methods with the help of micromagnetic simulation. It is shown that the effective dimension of magnetic correlation volumes, which is determined from analysis of the magnetization approaching saturation, is in conformity with the dimension of fractal clusters determined from analysis of their morphology. The dimension estimated from analysis of the coercive field on the particle size in a physically natural situation of the dipole-dipole interaction between nanoparticles provides estimates of the cluster dimension, which strongly differs from estimates obtained from analysis of their morphology.
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Churilov G. N., Fedorov A. S., Novikov P. V.
Заглавие : Fullerene C-60 formation in partially ionized carbon vapor
Разночтения заглавия :авие SCOPUS: Fullerene C60 formation in partially ionized carbon vapor
Место публикации : JETP Letters. - 2002. - Vol. 76, Is. 8. - P.522-526. - ISSN 0021-3640, DOI 10.1134/1.1533779
Примечания : Cited References: 15
Предметные рубрики: TOTAL-ENERGY CALCULATIONS
WAVE BASIS-SET
CLUSTERS
GROWTH
Аннотация: The assembling rate of a fullerene C-60 molecule has been theoretically studied as a function of electron concentration and temperature in partially ionized carbon vapor. For C-60 formation via one or two intermediate stages of cluster collisions, it has been shown that there is a region of plasma parameters (the temperature and electron concentration) in which fullerene C-60 is formed more efficiently. The C-60 formation rate versus temperature and electron concentration relationships have been found to correlate with the trends in the collision cross-section of carbon clusters as functions of these parameters. (C) 2002 MAIK "Nauka/Interperiodica".
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Butenko A. V., Shalayev V. M., Stockman M. I.
Заглавие : Giant impurity nonlinearities in optics of fractal clusters
Место публикации : Zhurnal |Eksperim. Teor. Fiz.: MEZHDUNARODNAYA KNIGA, 1988. - Vol. 94, Is. 1. - P107-124. - ISSN 0044-4510
Примечания : Cited References: 12
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17.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Chernozatonskii L.A., Sorokin P.B.
Заглавие : Graphene biribbons: the features of electronic properties
Коллективы : "Fullerenes and Atomic Clusters", Biennial International Workshop
Место публикации : 9th Biennial International Workshop "Fullerenes and Atomic Clusters" (IWFAC 2009): July 6-10, 2009, St Petersburg, Russia : abstracts. - 2009. - Ст.P2.3. - С. 74
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Novikov P.V., Churilov G. N., Martinez Yu. S.
Заглавие : Influence of buffer gas and vibration temperature of carbon clusters on fullerene formation in a carbon plasma
Место публикации : Journal of Nanoscience and Nanotechnology: American Scientific Publishers, 2007. - Т. 7, № 4-5. - С. 1315-1320. - ISSN 1533-4880, DOI 10.1166/jnn.2007.309. - ISSN 1533-4899(eissn)ID 17450893
ГРНТИ : 31
РИНЦ
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19.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Churilov G. N., Osipova I. V., Marchenko S. A., Gulyaeva U. E.
Заглавие : Influence of sonic and magnetic fields on fullerene and nanotube formation in carbon-helium plasma of high frequency at atmospheric pres?sure
Коллективы : "Fullerenes and Atomic Clusters", Biennial International Workshop
Место публикации : 9th Biennial International Workshop "Fullerenes and Atomic Clusters" (IWFAC 2009): July 6-10, 2009, St Petersburg, Russia : abstracts. - 2009. - Ст.P5.7. - С. 114
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Karpov S. V., Gerasimov V. S., Isaev I. L., Markel V. A.
Заглавие : Local anisotropy and giant enhancement of local electromagnetic fields in fractal aggregates of metal nanoparticles
Место публикации : Phys. Rev. B: AMER PHYSICAL SOC, 2005. - Vol. 72, Is. 20. - Ст.205425. - ISSN 1098-0121, DOI 10.1103/PhysRevB.72.205425
Примечания : Cited References: 56
Предметные рубрики: SMALL-PARTICLE COMPOSITES
DIFFUSION-LIMITED AGGREGATION
OPTICAL-PROPERTIES
SELECTIVE PHOTOMODIFICATION
NUMERICAL-SIMULATION
DISORDERED CLUSTERS
ABSORPTION-SPECTRUM
PARTICULATE MATTER
NONLINEAR OPTICS
LIGHT-SCATTERING
Аннотация: We have shown within quasistatic approximation that the giant fluctuations of a local electromagnetic field in random fractal aggregates of silver nanospheres are strongly correlated with a local anisotropy factor S which is defined in this paper. The latter is a purely geometrical parameter which characterizes the deviation of local environment of a given nanosphere in an aggregate from spherical symmetry. Therefore, it is possible to predict the sites with anomalously large local fields in an aggregate without explicitly solving the electromagnetic problem. We have also demonstrated that the average (over nanospheres) value of S does not depend noticeably on the fractal dimension D, except when D approaches the trivial limit D=3. In this case, as one can expect, the average local environment becomes spherically symmetrical and S approaches zero. This corresponds to the well-known fact that in trivial aggregates, fluctuations of local electromagnetic fields are much weaker than in fractal aggregates. Thus, we find that, within the quasistatics, the large-scale geometry does not have a significant impact on local electromagnetic responses in nanoaggregates in a wide range of fractal dimensions. However, this prediction is expected not to be correct in aggregates which are sufficiently large for the intermediate- and radiation-zone interaction of individual nanospheres to become important.
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