A series of non-Noether conservative quantities and Mei symmetries of nonconservative systems

In this paper Mei symmetry is introduced for a nonconservative system. The necessary and sufficient condition for a Mei symmetry to be also a Lie symmetry is derived. It is proved that the Mei symmetry leads to a non-Noether conservative quantity via a Lie symmetry, and deduces a Lutzky conservative quantity via a Lie point symmetry.     

Photolysis of organic pollutants in wastewater with 206 nm UV irradiation

A new-type UV light source(206 nm) was explored for the degradation of organic pollutants in wastewater for the first time.The degradation performances of triphenyltin chloride(TPTCl),dimethyl phthalate(DMP),as well as rhodamine B(RhB) were investigated.The results indicated that removal efficiency of 50 mg/L RhB,60 mg/L DMP and 120 mg/L TPTCl can reach 88.6%, 92.5%and 89.4%for 60 min,50 min and 75 min,respectively.By comparison of removal efficiency,we found 206 nm is superior to 253.7 nm UV in wastewat...     

AN ALGORITHM FOR JORDAN CANONICAL FORM OF A QUATERNION MATRIX

In this paper, we first introduce a concept of companion vector, and study the Jordan canonical forms of quaternion matrices by using the methods of complex rep resentation and companion vector, not only give out a practical algorithm for Jordan canonical form J of a quaternion matrix A, but also provide a practical algorithm for corresponding nonsingular matrix P with P-1AP = J.     

Molecular assembly in an inclusion crystal of tris(2-benzimidazylmethyl)amine with 4-nitrobenzoic acid

A 1:2 inclusion compound of tris(2-benzimidazylmethyl)amine with 4-nitrobenzoic acid [(C₂₄H₂₁N₇) · (C₇H₅NO₂)₂] has been prepared and the molecular assembly in solid state has been determined by X-ray crystal structural analysis. The crystal structure (C 2/c, a = 25.488(5), b = 13.304(3), c = 21.479(4) Å, = 93.35 (3)°, Z = 8, R = 0.065) consists of discrete dimeric inclusion compounds joined together by N(5)...N(6) intermolecular hydrogen bonds between pairs of centrosymmetrically related benzimidazole rings of the hosts. There are two types of guest molecules in the crystal, one is incorporated within the cavity of the host via three intramolecular N—H···O hydrogen bonds while the other is situated outside the cavity and connected with the host through one O—H···N hydrogen bond. The – stacking interactions between guests and benzimidazole rings result in one-dimensional columns. The aromatic face–face interactions between neighbouring columns facilitate the assembly of those columns into two-dimensional layers.     

Can Dirac observability apply to gravitational systems?

The problem of what is observable in general relativity is investigated. With the help of Landau's observable space interval, the observational frames for individual observers are established. Within the Ashtekar formulation of general relativity, we argue from the nonvanishing Poisson brackets of the Yang-Mills field and the constraints that Dirac observability does not apply to gravitational systems.     

Induced electronic interactions in Chern-Simons systems

The induced electronic interactions in (1+2)-dimensional vector Chern-Simons systems are studied by means of path-integral quantization. We consider four cases: relativistic, and nonrelativistic fermion Maxwell-Chern-Simons models, and relativistic and nonrelativistic fermion Chern-Simons models. It is shown that the Chern-Simons term may induce exotic electronic interactions which can be local or nonlocal and small Chern-Simons coupling may have a considerable effect in some cases.     

希土脯氨酸配合物的合成和性质研究

通过希土氯化物与L-脯氨酸反应,制得了四种新的希土脯氨酸固体配合物。其通式为:Ln(prol)Cl₃·nH₂O(Ln=Y、La、Sm和Er).用化学分析、电导测定、热重分析、差热分析、红外光谱和核磁共振氢谱,确定了产物的组成,讨论了金属-配体的化学键性质。     

Supramolecular Assemblies of (±-2,2''''-Dihydroxy-1,1''''-binaphthyl with 2,2''''-Bipyridine and Naphthodiazine

Introduction Optically active 1,1'-bi-2-naphthol (BINOL) and its derivatives have been widely used as chiral ligands of catalysts for asymmetric reactions and effective host compounds for the isolation or optical resolution of a wide range of organic guest molecules through the for-mation of crystalline inclusion complexes.1,2 The wide-ranging and important applications of these com-pounds in organic synthesis have stimulated great inter-est in developing efficient methods for their prepara-…     

Cation-π Interactions:Synthesis and Crystal Structure of Complex:[Na(DB18C6)]2[Pd(SCN)4]

The cation-π interactions have attracted much attention as an important noncovalent binding force. We have synthesized and characterized the first example[K(DB 18C6)]₂[Pd(SCN)₄] which exist K⁺-π interactions in crown ether compounds^[1]. However,the reported Na+ complexes structurally characterized by X-ray diffraction analysis have so far been limited to a few compounds. We now report the structure of complex:[Na(DB18C6)]₂[Pd(SCN)₄] which also exist Na⁺-n interactions.     

Plastic membrane electrodes responsive to beta-blocker drugs

The construction and performance characteristics of ion-selective PVC membrane electrodes for metoprolol, propranolol and timolol are described. The electrodes, based on ion-pair complexes with dinonylnaphthalenesulphonate or with tetra(2-chlorophenyl)borate show near-Nernstian responses down to 10(-5)M drug concentration. Their selectivity relative to various inorganic and organic cations is reported. Direct potentiometry is used to determine beta-blocker drugs both in aqueous solutions and pharmaceutical preparations, with good results.