整系数多项式的因式分解

§1.引言 整系数多项式的因式分解问题,历来都引起数学家们的注意。在这方面做过一些研究,他不仅详细地论述了整系数多项式的可约性,而且还专门探讨了系数具有相同符号或交错符号的整系数多项式的因式分解问题,他给出的因式分解法与常见的因式分解法相比有其独到之处,他在[1]中所     

在盐的水溶液中非电解质的活度系数的研究Ⅶ.无机盐对甲苯在水中溶度的影响

作者用分光光度计测定25℃下甲苯在十五种盐水溶液中的盐析常数k。所用的盐为:LiCl,NaCl,KCl,CsCl,NH₄Cl,NaF,NaBr,NaClO₃,NH₄Br,(CH₃)₄NBr,(C₂H₅)₄NBr,MgCl₂,CaCl₂,SrCl₂,BaCl₂₀在十五种盐中,只有两个溴化季铵盐对甲苯起盐溶作用,其余均起盐析作用。对于1-1价盐,k值的次序是NaF>NaCl>KCI>NaBr>NaClO₃>LiCl>NH₄Cl>CsCl>NH₄Br>(CH₃)₄NBr>(C₂H₅)₄NBr。这次序和一般非极性非电解质的盐析效应次序相同。定性地符合vanderWaals力理论,Dcbye-McAulay的静电理论以及McDevit和Long的内压力理论。对于2-1价盐,k值的次序是BaCl₂>SrCl₂>CaCl₂>MgCl₂₀即盐析效应随离子晶体半径的增加而上升。这次序和色散力理论的次序恰相反。但是,如果假设二价离子对水的静电作用能伸展到原水化层以外的水分子,并考虑水化离子和水的静电作用,以及它和甲苯的色散作用,以上四种盐的反常次序就得到解释。     

Synthesis,Fluorescence and Dielectric Properties of Two Novel Compounds Based on Triethylenediamine Derivatives

Two compounds C_8H_(18)N_2Br_3Mn_(0.5)(1) and C_(12)H_(26)N_2Cl_4Mn(2) based on triethylenediamine derivatives were synthesized by solution method and were characterized by elemental analysis, infrared spectroscopy, single-crystal X-ray structure analysis, fluorescence test, circular dichroism(CD) analysis and dielectric measurement, respectively. According to single-crystal X-ray determination, compound 1 crystallizes in the cubic system, space group Pa3 with a = b = c = 13.7246(5) ?, Z = 24, V = 2585.2(3) ?~3; and compound 2 crystallizes in the orthorhombic system, space group P212121 with a = 7.9716(13), b = 15.309(3), c = 15.804(3) ?, Z = 4 and V = 1928.7(6) ?3. Fluorescent analysis of compound 1 showed an intense emission band at 670 nm when the exciting radiation was set at 378 nm and fluorescent analysis of compound 2 showed an intense emission band at 515 nm when the exciting radiation was set at 363 nm. Dielectric constants of compounds 1 and 2 were measured at different frequencies with temperature variation.     

多原子分子受激光激励后振动分布的模型计算

以SF_6分子为例, 进行了多原子分予受脉冲红外激光激励之后, 其瞬态振动布居的模型计算。本模型可从实验测得的红外荧光或吸收光潜, 反演出与这些光谱相应的振动分布。反之亦然。与同类模型相比, 本模型的计算精度高, 可精确地生成振动跃迁几率矩阵, 且可计算受激光激励后分子在任一时刻的振动分布。用此模型, 首次获得SF_6分子低温条件下(20 K)的可转动分辨的吸收光谱和荧光光谱。