On the Family of Thue Equation ｜x^3 ＋ mx^2y-（ m ＋ 3）xy^2 ＋ y^3｜= k

The family of cubic Thue equation which depend on two parameters ｜ x^3 ＋ mx^2 y-（m＋3） xy^2＋y^3｜=k is studied. Using rational approximation, we give a smaller upper bound of the solution of the equation, that is quite better than the present result. Moreover, we study two inequalities ｜ x^3 ＋ mx^2y-（m ＋ 3） xy^2＋y^3 ｜ =k≤2m＋3 and ｜x^3 ＋mx^2y- （m＋3）xy^2 ＋ y^3｜ = k≤ （2m＋3）^2 separately. Our result of upper bound make it easy to solve those inequalities by simple method of continuous fraction expansion.     

Fe3＋,Cu2＋,Ag＋与S2O3^2—反应的实验教学研究

介绍了在研究性实验开设中引导学生应用无机化学基本原理从多个角度为Fe3 ,Cu2 ,Ag 与S2O3^2-的反应相理和反应产物进行了研究和探讨。     

Y^3＋,La^3＋对CaSO4：Eu^2＋发光性质的影响

用沉淀法合成了掺杂Y~(3 ),La~(3 )的CaSO_4:Eu~(2 )稀土发光材料,研究了材料的晶体结构和荧光光谱,根据实验结果,所制样品基本上属正交晶系、C_(2v)空间群,Eu离子在CaSO_4中的激发峰为基态到4f~65d(E_g),(T_(2g))激发态的跃迁;样品发射主峰位于383um,属于Eu~(2 )的~5P_(7/2)→~8S_(2/7)跃迁,说明样品中Eu离子主要以Eu~(2 )的形式存在。CaSO_4:RE(La,Y)本身没有荧光,Y~(3 ),La~(3 )掺入CaSO_4:Eu中未改变基质的晶型结构,但可增强CaSO_4:Eu中Eu~(2 )的荧光强度。     

关于不定方程x^3＋1=266y^2和x^3＋8=133y^2

利用同余式、递归数列的方法证明了不定方程x3+1=266y2仅有整数解(x,y)=(-1,0),x3+8=133y2仅有整数解(x,y)=(-2,0),(5,±1).     

Effects of Yb^3＋ codoping on visible and near infrared emissions of Er^3＋-Yb^3＋ codoped Al2O3 powders by the sol-gel method

The 0.1 mol% Er^3＋ and 0-2 mol% Yb^3＋ codoped Al2O3 powders were prepared by the sol-gel method, and the phase structure, including only two crystalline types of doped Al2O3 phase, γ-（Al,Er, Yb）2O3 and θ-（Al,Er, Yb）2O3, was detected at the sintering temperature of 1000℃. The visible and near infrared emissions properties depended strongly on the Yb^3＋ codoping, and the corresponding maximal peak intensities centered at about 523, 545, 660 and 1533 nm were obtained respectively for the 0.1 mol% Er^3＋ and 0.5 mol% Yb^3＋ codoped Al2O3 powders, which were composed of θ-（Al,Er,Yb）2O3 and a small amount of γ-（Al,Er, Yb）2O3 phases. The two-photon absorption process was responsible for the visible up-conversion emissions, and the one-photon absorption process was involved in the near infrared emissions of the Er^3＋-yb^3＋ codoped Al2O3 powders.     

CeO2 Eu^3＋ 发光 Pechini

采用Pechini法制备Eu^3＋掺杂的CeO2：Eu^3＋薄膜.利用X射线衍射（XRD）﹑原子力显微镜（AFM）和光致荧光光谱（PL）对样品进行表征.结果表明：薄膜样品在700℃就结晶成纯面心立方萤石结构的多晶薄膜;PL激发谱中,300～360 nm的宽带激发峰起源于基质CeO2的吸收.     

BaClF：Sm^2＋,Ce^3＋微晶中Sm^2＋发光光谱研究

对微晶BaClF:Sm^2 ,Ce^3 低温光谱的测量，观察到Sm^2 发光中心的^5D2,^5D1发射的温度猝灭现象，以及谱线半宽度随温度升高而非均匀增宽，这种非均匀增宽只与电子跃迁的基态^7F0,^7F1,^7F2有关。     

“3＋2”方案忧思录

今年全国有24个省、自治区、直辖市在高中会考的基础上实行了“3 2”方案，即高考科目的设置为文理科均考语、数、外，文科另加政、史；理科另加物、化。该方案在高考科目中，理科取消了政治科，这一新举措出台后在师生中引起了强烈反响．其利弊得失．众说纷纭，莫衷一是，笔者仅从政治学科的角度对“3 2”方案略陈管见，以抛砖引玉。     

柠檬酸对Y2O2S：Eu^3＋，Mg^2＋，Ti^4＋发光性能的影响

研究了柠檬酸对高温固相法合成的Y2O2S：Eu^3＋,Mg^2＋,Ti^4＋红色长余辉材料性能的影响,结果表明添加一定量的柠檬酸有利于提高Y2O2S：Eu^3＋,Mg^2＋,Ti^4＋的发光性能,其初始亮度为1800mcd／m^2,余辉时间为8h．采用X射线衍射（XRD）、扫描电镜（SEM）、荧光光谱（PL）对样品进行了表征．     

关于不定方程x^3＋27=Dy^2

利用初等方法得出了：D=27t^2＋1（t≡0（mod2））为奇素数时,不定方程x^3＋27=Dy^2无正整数解;D=27t^2＋1（t≡4（mod8））为奇素数时,不定方程x^3-27=Dy^2无正整数解．     

不定方程x(x+1)(x+2)(x+3)=11y(y+1)(y+2)(y+3)

运用了一种初等的证明方法,对一个不定方程x(x 1)(x 2)(x 3)=11y(y 1)(y 2)(y 3)的正整数解进行了研究。证明过程中仅涉及到了初等的数论知识,就是采用了递归序列的方法,证明了不定方程x(x 1)(x 2)(x 3)=11y(y 1)(y 2)(y 3)无正整数解,同时这个证明过程也给出了这个不定方程组的全部整数解,它们是(x,y)=(-3,0),(-3,-1),(-3,-2),(-3,-3),(-2,0),(-2,-1),(-2,-2),(-2,-3),(-1,0),(-1,-1),(-1,-2),(-1,-3),(0,0),(0,-1),(0,-2),(0,-3)。     

关于不定方程3x(x+1)(x+2)(x+3)=14y(y+1)(y+2)(y+3)

运用递归数列、pell方程、同余式及平方(非)剩余等方法,证明了不定方程3x(x+1)(x+2)(x+3)=14y(y+1)(y+2)(y+3)仅有正整数解(5,3).     

差分方程xn+1=(α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/(A+B0xn+B2xn-2+…+B2kxn-2k)的动力学

考察差分方程x_(n 1)=(α B_1x_(n-1) B_3x_(n-3) … B_(2k 1)x_(n-2k-1))/(A B_0x_n B_2x_(n-2) … B_(2k)x_(n-2k)),n=0,1,…的动力学行为,在4种情形下分别讨论方程解的性质.     

丢番图方程y(y+1)(y+2)(y+3)=n~2 x(x+1)(x+2)(x+3)解的研究

设n1是正整数,利用Pell方程的正整数解的一组恒等式和高次丢番图方程的结果,研究了丢番图方程y(y+1)(y+2)(y+3)=n~2x(x+1)(x+2)(x+3)的正整数解(x,y),分别在2|/n,3|x的情形下和n不同素因数的个数不超过2的情形下,证明了该方程没有正整数解(x,y).     

基于Cu+--In3+--Se2--NH3--L2--Cl--H2O体系的常温全液相法制备CuInSe2粉体

采用同时平衡和质量守恒原理对全液相常温常压法制备CuInSe2( CIS)粉体过程中Cu+-In3+-Se2--NH3-L2--Cl--H2 O体系的热力学平衡进行分析,并绘制一系列的浓度对数lgc-pH值曲线.依据平衡图,发现溶液中[ NH3] T的变化主要影响溶液中[Cu+]T在体系中的浓度变化,[L2-]T的变化主要影响的是体系中[In3+]T的浓度变化,而[Cl-]T的变化对[Cu+]T和[ In3+] T的浓度变化均有影响,并可发现在pH 7.0~8.5时沉淀率最高.依据Cu+-In3+-Se2--NH3-L2--Cl--H2 O体系的同时平衡和质量守恒原理,采用全液相常温常压法,在pH 7.0~8.5条件下制备出粒径在20~50 nm且基本符合标准化学计量比的CIS纳米粉体.     

Effects of La3+ and Gd3+ on Ca2+ influx in rat hepatoma H-35 cells

Effects of La³⁺ and Gd³⁺ on Ca²⁺ influx were investigated in rat hepatoma H-35 cells by measuring the initial rate of⁴⁵Ca²⁺ uptake. It was found that the maximum initial rate of Ca²⁺ uptake was increased six-to ten-fold at low concentrations of La³⁺ and Gd³⁺. Kinetic analyses by measuring the initial rate of Ca²⁺ influx at different external Ca²⁺ concentrations indicated the existence of two intracellular exchangeable components in the basal Ca²⁺ system, with low and high affinities for Ca²⁺, and only one class of Ca²⁺ binding sites was observed in the La³⁺-or Gd³⁺-treated cells. For high affinity, La³⁺ and Gd³⁺ increased both kinetic parametersK _m andV _max of basai Ca²⁺ influx. La³⁺ and Gd³⁺ compete directly with Ca²⁺ for Ca²⁺ binding site for low affinity. The kinetics is competitive.     

La3+和Ni2+掺杂二氧化钛纳米粉体的制备与光催化性能

采用溶胶 凝胶法分别制备了未掺杂、La³⁺和Ni²⁺单掺与共掺的TiO₂粉末,通过XRD、SEM、UV-visible吸收等对样品的晶型、微观形貌、光吸收和对亚甲基蓝的光降解特征进行了考察。结果表明,La³⁺和Ni²⁺的掺杂抑制了TiO₂的相变和晶粒的增长,纯TiO₂的粒径主要分布为20～30nm,掺杂La³⁺和Ni²⁺后样品的晶粒尺寸在9～20nm之间。掺杂后各样品在紫外和可见光区的吸收能力均有不同程度地增强。与未掺杂TiO₂的吸收带边相比,La³⁺掺杂TiO₂的吸收带边蓝移,Ni²⁺掺杂和共掺TiO₂的吸收带边分别红移了约40和35nm。La³⁺单掺和La³⁺-Ni²⁺共掺促进了光生电子-空穴对的分离,从而提高了光催化降解亚甲基蓝的活性。     

甲硫氨酸在Fe3+或In3+掺杂的SnO2:Sb5+电极上的电催化氧化

采用金属离子氯化盐溶胶热分解法制备了Fe3 或In3 掺杂的SnO2:Sb5 电极,并通过线性电位扫描法考察了这种电极材料对甲硫氨酸的电催化氧化性能.根据甲硫氨酸在不同掺杂含量的SnO2:Sb5 (5%)-Fe3 和SnO2:Sb5 (5%)-In3 电极上的电催化氧化情况,确定了Fe3 和In3 离子的最佳掺杂含量分别为0.5%和0.3%.根据扫描速度、甲硫氨酸浓度和转速对甲硫氨酸在Fe3 或In3 掺杂的SnO2:Sb5 电极上的电催化氧化的影响结果可以看出,该电极对甲硫氨酸的电催化氧化性能正比于实验所采用的扫描速度、甲硫氨酸的浓度以及旋转圆盘电极的转速.     

关于不定方程x(x+1)(x+2)(x+3)=15y(y+1)(y+2)(y+3)

利用递归数列的方法,证明了不定方程x(x+1)(x+2)(x+3)=15y(y+1)(y+2)(y+3)仅有正整数解(x,y)=(3,1),(25,12).