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101.
Corneliu I. Oprea Fanica Cimpoesu Petre Panait Bogdan Frecuş Marilena Ferbinteanu Mihai A. Gîrţu 《Theoretical chemistry accounts》2011,129(6):847-857
We report the first band structure calculations of the quasi-one-dimensional [MnTPP][TCNE] compounds (TPP = meso-tetraphenylporphyrinato, TCNE = tetracyanoethylene), based on Density Functional Theory (DFT) methods, in order to interpret
the magnetic ordering in these prototypic systems. We compare and contrast the results of broken-symmetry DFT calculations
for extended systems, with periodic boundary conditions, and for finite systems, magnetic dimers modeling the actual molecular
magnets. By varying systematically the main angles, we are able to determine the geometry dependence of the exchange interaction.
Structure–properties correlations in these charge-transfer salts reveal the determinant role of the Mn-(N≡C)TCNE bond angle on the strength of the ferrimagnetic coupling between the S
1 = 2 spin located on the MnIII-porphyrin donor and the S
2 = 1/2 spin positioned on the cyanocarbon acceptor. When the Mn-(N≡C)TCNE angle is decreased, the intrachain magnetic coupling strengthens, correlated with the increase in the dz2 - p* d_{{z^{2} }} - \pi * orbital overlap. The exchange coupling constants resulting from DFT calculations of extended systems, with periodic boundary
conditions, were found to be consistent with those obtained for the dimers, but systematically smaller. The exchange constants
vary strongly with the functional used, hybrid functionals such as B3LYP leading to results that better correlate with the
experimental mean-field critical temperatures. The coupling constant varies significantly with the type of broken-symmetry
approach, depending on the overlap between magnetic orbitals, but weakly on the basis set once polarization effects are included.
The electronic structure calculations for the extended systems provide a density of states consistent with the energy spectrum
of the corresponding dimer, allowing for an intuitive explanation of the intrachain ferrimagnetic ordering. 相似文献
102.
A micromechanical model for cementitious composite materials is described in which microcrack initiation, in the interfacial transition zone between aggregate particles and cement matrix, is governed by an exterior-point Eshelby solution. The model assumes a two-phase elastic composite, derived from an Eshelby solution and the Mori–Tanaka homogenization method, to which circular microcracks are added. A multi-component rough crack contact model is employed to simulate normal and shear behaviour of rough microcrack surfaces. The development of the microcrack initiation criterion and the rules adopted for microcrack evolution are a particular focus of the paper. Finally, it is shown, on the basis of several numerical simulations, that the model captures key characteristics of the behaviour of cementitious composites such as concrete. 相似文献
103.
In this paper we consider a coupled Wave-Klein—Gordon system in 3D, and prove global regularity and modified scattering for small and smooth initial data with suitable decay at infinity. This... 相似文献
104.
Mihai Ciucu 《Discrete Mathematics》2007,307(15):1957-1960
The even Aztec diamond ADn is known to have precisely four times more spanning trees than the odd Aztec diamond ODn—this was conjectured by Stanley and first proved by Knuth. We present a short combinatorial proof of this fact in the case of odd n. Our proof works also for the more general case of odd-by-odd Aztec rectangles. 相似文献
105.
The paper proposes a general procedure to find the form of the gauge fixing term in the extended BRST quantization of the gauge theories, a difficult problem in the standard approach. Our proposal is based on the many level structure of the extended spaces and leads to a simple form of the gauge fixing term. The abelian 2‐form model is completely analyzed as an example. 相似文献
106.
107.
One describes, using a detailed analysis of Atiyah-Hirzebruch spectral sequence, the tuples of cohomology classes on a compact,
complex manifold, corresponding to the Chern classes of a complex vector bundle of stable rank. This classification becomes
more effective on generalized flag manifolds, where the Lie algebra formalism and concrete integrability conditions describe
in constructive terms the Chern classes of a vector bundle.
Since deceased. 相似文献
108.
A plane graph is called symmetric if it is invariant under the reflection across some straight line (called symmetry axis). Let G be a symmetric plane graph. We prove that if there is no edge in G intersected by its symmetry axis then the number of spanning trees of G can be expressed in terms of the product of the number of spanning trees of two smaller graphs, each of which has about half the number of vertices of G. 相似文献
109.
Thallada Bhaskar Kazuya Murai Toshiki Matsui Mihai Adrian Brebu Md. Azhar Uddin Akinori Muto Yusaku Sakata Katsuhide Murata 《Journal of Analytical and Applied Pyrolysis》2003,70(2):369-381
The thermal degradation of acrylonitrile-butadiene-styrene copolymer (ABS-Br; 10 g) containing brominated flame retardant (Br: 9.59 wt.%) was carried out at 450 °C using a semi batch operation using two different temperature programs. The heating rate was found to affect the quality of the degradation oil and yield of products (liquid, gas and residue). Data on the effect of the temperature program on the accumulation of liquid products was presented. It was found that the majority of the bromine was concentrated in the carbon residue and while majority of the nitrogen accumulates in the liquid products irrespective of degradation mode. The use of a one step constant heating rate process (I) produced a higher liquid yield (39%), than a two step process (29%). Differences were also noted in the Br and N contained in the liquids produced by the two processes. 相似文献
110.
Mihai Tibăr 《Israel Journal of Mathematics》2007,157(1):309-322
We study the vanishing neighbourhood of non-isolated singularities of functions on singular spaces by associating a general
linear function. We use the carrousel monodromy in order to show how to get a better control over the attaching of thimbles.
For one-dimensional singularities, we prove obstructions to integer (co)homology groups and to the eigenspaces of the monodromy
via monodromies of nearby sections. Our standpoint allows one to find, in certain cases, the structure of the Milnor fibre
up to the homotopy type. 相似文献