Maximally Superintegrable Gaudin Magnet: A Unified Approach

A classical integrable Hamiltonian system is defined by an Abelian subalgebra (of suitable dimension) of a Poisson algebra, while a quantum integrable Hamiltonian system is defined by an Abelian subalgebra (of suitable dimension) of a Jordan–Lie algebra of Hermitian operators. We propose a method for obtaining large Abelian subalgebras inside the tensor product of free tensor algebras, and we show that there exist canonical morphisms from these algebras to Poisson algebras and Jordan–Lie algebras of operators. We can thus prove the integrability of some particular Hamiltonian systems simultaneously at both the classical and the quantum level. We propose a particular case of the rational Gaudin magnet as an example.     

A Note on a Boundary Value Problem

In this note, we prove that, for Robins boundary value problem, a unique solution exists if f_x(t, x, x), f_x(t, x, x), (t), and (t) are continuous, and f_x -(t), f_x -(t), 4(t) ² + ²(t) ++ 2(t), and 4(t) ² + ²(t) + 2(t).AMS Subject Classification (2000) 34B15     

交换弹性磁性材料的研究进展

对近年来交换弹性磁性材料（包括高性能永磁和磁存储介质）等方面的最新研究进展作了一些简单的综述，总结了存在的一些问题并指出了用以解决这些问题的可能途径，为进一步的深入研究提供参考。     

The molecular structure of the 4-nitrophenyl[bis(ethylsulfonyl)]methane and its response in the formation of the complexes with the strong organic bases

Intermolecular interactions in a synthesized C-acid, 4-nitrophenyl[bis(ethylsulfonyl)]methane have been analysed and its structure determined by X-ray diffraction. The molecular packing in the crystal is governed by CH…O. The dimensions of the hydrogen bonds and the shortest non-bonded distances are also determined. The possible implications in the formation of the hydrogen bonded complexes with the strong organic bases are also discussed.     

Chemically bonded assembly and photophysical properties of luminescent hybrid polymeric materials embedded into silicon–oxygen network and carbon unit

Through the reaction between the hydroxyl groups of 2-hydroxyl-3-methylbenzoic acid (HMBA), the glycol (G), the diglycol (DG) or the polyethylene glycol (PEG) and the isocyanate groups of 3-(triethoxysilyl)-propyl isocyanate (TEPIC), the hybrid precursors HMBA-Si, G-Si, DG-Si and PEG-Si were obtained. And then the precursors HMBA-Si and G-Si (DG-Si, PEG-Si) have coordinated to the rare earth ions with the carbonyl group of G-Si (DG-Si, PEG-Si) and the carboxyl group of HMBA-Si to form the hybrid materials HMBA-G-RE-Si (HMBA-DG-RE-Si, HMBA-PEG-RE-Si) through hydrolysis and copolycondensation with the tetraethoxysilane (TEOS) via sol–gel process. Subsequently, the NMR, FT-IR and ultraviolet absorption spectra have indicated that the effective precursors have been obtained successfully and the obtained materials possess the characteristic fluorescent properties, thermal stabilities and regular trunk with hole-like microstructures.     

铜、钛复合添加对结NdFeB磁体显微组织和磁性能的影响

研究了烧结NdFeB磁体晶间合添加Cu和Ti 对磁体显微组织和磁性能的影响，当钛含量小于1.2%时，Cu和Ti晶间复合添加可大幅度提高烧结NdFeB磁体的矫顽力，磁变化不大，矫顽力的提高归因于Cu和Ti在主相晶粒表面富集，细化晶粒，阻断主相晶粒之间的磁交换作用，阻碍反磁化畴的传播，当钛含量大于1.2%时，矫顽力略有下降，乘磁急剧下降，乘磁下降的原因在于出现了大量的条状纯钛相。与晶间单独合金化相比，晶间复合合金化可更有效改善NdFeB磁体显微组织与性能。     

Hybrid materials of MCM-41 functionalized by lanthanide (Tb, Eu) complexes of modified meta-methylbenzoic acid: Covalently bonded assembly and photoluminescence

Novel organic-inorganic mesoporous hybrid materials were synthesized by linking lanthanide (Tb³⁺, Eu³⁺) complexes to the mesoporous MCM-41 through the modified meta-methylbenzoic acid (MMBA-Si) using co-condensation method in the presence of the cetyltrimethylammonium bromide (CTAB) surfactant as template. The luminescence properties of these resulting materials (denoted as Ln-MMBA-MCM-41, Ln=Tb, Eu) were characterized in detail, and the results reveal that luminescent mesoporous materials have high surface area, uniformity in the ordered mesoporous structure. Moreover, the mesoporous material covalently bonded Tb³⁺ complex (Tb-MMBA-MCM-41) exhibits the stronger characteristic emission of Tb³⁺ and longer lifetime than Eu-MMBA-MCM-41 due to the triplet state energy of organic legend MMBA-Si matches with the emissive energy level of Tb³⁺ very well.     

Two Disparate 2‐fold Interpenetrating Frameworks Constructed from ZnII, 4,4′‐Dipyridyl Disulfide and Maleic/ Fumaric Acid

The reaction of Zn^II nitrate with maleic acid (H₂mal) / fumaric acid (H₂fum) and 4,4′‐dipyridyl disulfide (4‐pds) resulted under same conditions in two distinct interpenetrated compounds, namely [Zn(4‐dps)₂(H₂O)₂]·2Hmal ( 1 ) and [Zn(4‐dps)(fum)] ( 2 ). In 1 , Hmal anion adopts bridging mode based on hydrogen bonding, affording a 2‐fold parallel interpenetrated 3D→3D α‐Po net hydrogen‐bonded framework, in which 1D double‐stranded chains are formed, and then extended to a 3D supramolecular architecture combining second‐sphere hydrogen‐bonded interactions. For 2 , fum dianion takes on bis‐dentate bridging coordination fashion, furnishing a 2‐fold interpenetrated 2D→2D (4,4) layered coordination network, in which the tetrahedral Zn^II atoms are interlinked by 4‐dps and fum. Additionally, the compound 2 shows strong fluorescence in the solid state at room temperature.     

Luminescent polymeric hybrids functionalized by β-diketone with silicon-oxygen networks and carbon chains: Assembly and characterization

2-Thenoyltrifluoroacetone (TTA) was grafted onto the coupling agent 3-(triethoxysilyl)-propyl-isocyanate to construct the precursor I (TTA-Si), and polymer precursors II (PVPD, PMAA and PVPDMAA) were synthesized through the addition polymerization reactions. Then precursors I and II have coordinated to the rare-earth ions with the carbonyl, carboxyl group or nitrogen atom, respectively, and after hydrolysis and copolycondensation sol-gel process, the three kinds of polymeric hybrids were obtained. FTIR, ultraviolet-visible diffuse reflection and fluorescence absorption spectra, electronic micrographs, room-temperature X-ray diffraction patterns and TG plots were characterized and the results reveal that the hybrid materials showed uniformity in the microstructure, efficient intramolecular energy transfer system and excellent characteristic emission of terbium ions under UV irradiation.     

Theoretical study of neutral and protonated triple bonded molecules formed between C, N, Si, P, B and Al

A theoretical study of the possible protonation sites of simple molecules formed by C, N, Si, P, B and Al that present a triple bond between those atoms has been carried out. The calculations performed include MP2 and CCSD(T) methods with the aug-cc-pVTZ basis set. The nature of the protonated species has been analyzed with the Atoms In Molecules methodology. To Serafin, a free spirit and a good friend. Contribution to the Serafin Fraga Memorial Issue.