稀土异硫氰酸盐同苯酚西佛碱大环双核配合物的合成和表征

本文以稀土异硫氰酸盐为模板,用4-叔丁基2,6-二甲酰基苯酚与三乙撑四胺缩合生成双核稀土金属大环配合物。化合物的组成用元素分析,FABMS确定,用IR,电导,磁天平等手段对配合物进行了表征。测定了Gd,Tb配合物的变温磁化率(4—300K),其数值用最小二乘法与从自旋Hamiltonian算符导出的磁化率理论曲线很好拟合,求得J=-0.220cm~(-1)(Gd),ZJ′=-O.052cm~(-1)(Tb)。表明Gd-Gd,Tb-Tb之间有较弱的反铁磁性交换作用。     

同心球间流动三模类Lorenz系统的动力学行为及数值仿真

讨论了同心球间旋转流动的类Lorenz型方程组的动力学行为及其数值模拟问题,求出了该方程组平衡点,并对其稳定性进行了分析,证明了该方程组吸引子的存在性,对类Lorenz方程组的动力学行为进行了数值模拟,数值试验表明此类Lorenz型方程组存在极限环和奇怪吸引子.     

SYNTHESIS AND CHARACTERISTICS OF HOMOBINUCLEAR MACROCYCLIC COMPLEXES OF RARE EARTH METAL ISOTHIOCYANATE AND PHENOLIC SCHIFF BASES

Eleven homobinuclear macrocyclic rare earth metal ions complexes are obtained as com-pounds of 2:2 Schiff base formed by condensing 2,6-diformyl-4-tert-Butylphenol and triethy-lenetetramine by a template procedure using rare earth metal isothiocyanates. These complexesare characterized by elemental analyses, FABMS, IR, conductivity and magnetic susceptibility.The variable-temperature magnetic susceptibility (4--300K) of complexes of Gd(Ⅲ) and Tb(Ⅲ) has been determined. A satisfactory fit to theoretical curve derived from spin Hamil-tonian operator was obtained by least squares method. The exchange interaction parameters areJ =-0.220 cm~(-1) for Gd, ,ZJ~?=-0.052 cm~(-1) for Tb. The results indicate a very weak anti-ferromagnetic interaction between Gd~(3+)-Gd~(3+), Tb~(3+)-Tb~(3+) ions.     

磁流体动力学截断方程组的动力学行为研究

本文研究了平面正方形区域上不可压缩的磁流体动力学方程组的动力学行为问题.利用模式截断的方法,获得了一个全新的十模类Lorenz方程组,求得了此方程组的平衡点,分析了其稳定性等动力学行为,证明了该类Lorenz方程组混沌吸引子的存在性,并对其动力学行为进行了数值模拟.