纳米ZnS在KGM-AE高分子模板中的可控制备与光限幅性能研究

设计了一种新的乙酸酐改性魔芋葡苷聚糖(KGM-AE)作为高分子模板，通过调节模板剂的改性度、模板剂溶液浓度以及Zn²⁺离子浓度，探讨了ZnS纳米粒子形成的机理，制备出了大小及形貌可控的纳米ZnS。利用IR、ICP-AES、XRD、TEM等对ZnS结构进行了表征，并测定了纳米ZnS光限幅性能，结果显示纳米ZnS溶液均呈现出明显的光限幅性能。     

Mn4 single-molecule magnets with a planar diamond core and S=9

The syntheses and magnetic properties are reported for three Mn₄ single-molecule magnets (SMMs): [Mn₄(hmp)₆(NO₃)₂(MeCN)₂](ClO₄)₂·2MeCN (3), [Mn₄(hmp)₆(NO₃)₄]·(MeCN) (4), and [Mn₄(hmp)₄(acac)₂(MeO)₂](ClO₄)₂·2MeOH (5). In each complex there is a planar diamond core of Mn^III ₂Mn^II ₂ ions. An analysis of the variable-temperature and variable-field magnetization data indicate that all three molecules have intramolecular ferromagnetic coupling and a S=9 ground state. The presence of a frequency-dependent alternating current susceptibility signal indicates a significant energy barrier between the spin-up and spin-down states for each of these three Mn^III ₂Mn^II ₂ complexes. The fact that these complexes are SMMs has been confirmed by the observation of hysteresis in the plot of magnetization versus magnetic field measured for single crystals of complexes 3 and 4. The hysteresis loops for both of these complexes exhibit steps characteristic of quantum tunneling of magnetization. Complex 4 shows its first step at zero field, whereas the first step for complex 3 is shifted to −0.10 T. This shift is attributable to weak intermolecular antiferromagnetic exchange interactions present for complex 3.     

6种新型3-苯甲酰甲基硫代-1,2,4-三唑的合成

以1-芳酰基-3-苯氨基硫脲和2-溴代苯乙酮为主要原料,以二氯甲烷为溶剂,在弱碱三乙胺催化下合成了6种新的3-苯甲酰甲基硫代-1,2,4-三唑类化合物,产率为72%～86%,产物的结构通过红外光谱、核磁共振光谱和高分辨质谱进行了表征.     

A novel method for chemistry tabulation of strained premixed/stratified flames based on principal component analysis

The principal component analysis (PCA) is used to analyze the high dimensional chemistry data of laminar premixed/stratified flames under strain effects. The first few principal components (PCs), which have larger contribution ratios, are chosen as the tabulated scalars to build the look-up chemistry table. Prior tests show that the strained premixed flame structure can be well reconstructed. To highlight the physical meanings of the tabulated scalars in the stratified flames, a modified PCA method is developed, where the mixture fraction is used to replace one of the PCs with the highest correlation coefficient with a mixture fraction. The other two tabulated scalars are then modified with the Schmidt orthogonalization. The modified tabulated scalars not only have clear physical meanings, but also contain passive scalars. The PCA method has good commonality, and can be extended for building the thermo-chemistry table including strain rate effects when different fuels are used.     

Study of （2＋1）-Dimensional Higher-Order Broer-Kaup System

Painleve property and infinite symmetries of the （2＋1）-dimensional higher-order Broer-Kaup （HBK） system are studied in this paper. Using the modified direct method, we derive the theorem of general symmetry gro.ups to （2＋1）-dimensional HBK system. Based on our theorem, some new forms of solutions are obtained. We also find infinite number of conservation laws of the （2＋1）-dimensional HBK system.     

Similarity Reductions of (2+1)-Dimensional Multi-component Broer-Kaup System

Painlevé property of the (2+1)-dimensional multi-component Broer-Kaup (BK) system is considered by using the standard Weiss-Kruskal approaches. Applying the Clarkson and Kruskal (CK) direct method to the (2+1)-dimensional multi-component BK system, some types of similarity reductions are obtained. By solving the reductions, one can get the solutions of the (2+1)-dimensional multi-component BK system.     

Symmetry Reduction and Exact Solutions of the (3+1)-Dimensional Breaking Soliton Equation

By means of the generalized direct method, a relationship is constructed between the new solutions and the old ones of the (3+1)-dimensional breaking soliton equation. Based on the relationship, a new solution is obtained by using a given solution of the equation. The symmetry is also obtained for the (3+1)-dimensional breaking soliton equation. By using the equivalent vector of the symmetry, we construct a seven-dimensional symmetry algebra and get the optimal system of group-invariant solutions. To every case of the optimal system, the (3+1)-dimensional breaking soliton equation is reduced and some solutions to the reduced equations are obtained. Furthermore, some new explicit solutions are found for the (3+1)-dimensional breaking soliton equation.     

Induced States from Coherent State via Photon-Addition Operations

Three classes of quantum states are induced from coherent state (CS) based on three operations associated with the photon creation operator. One class is the famous photon-added coherent state (PACS) introduced by Agarwal and Tara (Phys. Rev. A 43, 492–497, 1991). The other two classes are the orthogonal states of the CS (Here we abbreviate them as OCS1 and OCS2). Indeed, the OCS1 is just the displacement Fock state, and the OCS2 is constructed by orthogonalizer proposed by Kim group (Phys. Rev. Lett. 116, 110501, 2016). In contrast to the original CS, the three induced states can exhibit their respective nonclassical properties. We study and compare some properties for these four quantum states (CS, PACS, OCS1, OCS2). The studied properties include the mean number of photons, the sub-Poissonian character, the squeezing effect in the field quadrature, and the quasi-probability distributions including the Husimi Q function and the Wigner function. Besides, their fidelities between each two of them are also discussed.

     

Infinitely many homoclinic orbits for the second order Hamiltonian systems with general potentials

In this paper we study the following nonperiodic second order Hamiltonian systems

     

Tuning the magnetic and transport properties of boron-nitride nanotubes via oxygen-doping

Using density functional theory we show that both magnetic and transport properties become chirality-dependent once a nitrogen atom is substituted by an oxygen atom in boron-nitride nanotubes (BNNTs). As chirality increases, the dispersion width of the doping induced impurity state decreases continuously, and this yields progressively larger exchange field and stronger spin polarization. Stronger chirality favors a larger magnetic moment and band insulator while weaker chirality favors a non-magnetic metallic state. In the case of oxygen substitution for a boron atom, the deep in-gap states always yield fully spin-polarized flat-bands and saturated magnetic moment of $1{\mu }_B$ per oxygen atom.