高中代数综合题例解

例1 当实数k取什么值时,函数f(x)=(kx 7/kx~2 4kx 3)-log_(1/3)((1/4)x~2-2~(1/2)-5k 3)的定义域是实数集R。分析:要使f(x)的定义域是R,只需kx~2 4kx 3≠0,且(1/4)x~2-2~(1/2)kx-5k 3>0对任意实数x成立。     

Magnetic Properties of Hf0.8Ta0.2（Fe0.97A0.03）2 （A=Al, Co, Mn） Systems

Moessbauer studies on the effect of substitution with 3% Al, Co, Mn atoms in the intermetallic compound of Hf0.8Ta0.2Fe2 are reported. The Al substitution leads to increase of the FM-AFM transition temperature and to decrease of the AFM-PM transition temperature. The Co substitution leads to disappearance of the FM state, only showing some FM impurity component, while Mn substituted compound indicates coexistence of FM and AFM states at low temperature. The phenomena imply complex itinerant electron properties in these magnetic systems.     

密度泛函理论在分子磁学中的应用1.单氧桥联双核铁(Ⅲ)[Cl3FeOFeCl3]2-磁耦合作用

通过对桥联双核铁(Ⅲ)[Cl3FeOFeCl3]2-的磁耦合常数的计算,探讨了密度泛函理论计算条件对计算结果的影响.基于密度泛函理论下的破损态方法,着重讨论了双核Fe(Ⅲ)2的d5-d5电子通过氧桥的超交换作用.研究发现分子的反铁磁通道主要是Fe(Ⅲ)的dyz和dz2与μ-O的p轨道形成的,具有π*/π*和σ*/σ*特征的超交换通道.     

分子力学计算中的分形现象

在分子力学计算中,归属各稳定或亚稳构象的点在构象空间混杂分布,可形成分形结构.计算表明,(1)此分形结构有两个层次:在无镜面对称性吸引子周围,归属该吸引子及其镜面对映体的点相混杂形成第1层次分形结构,在各吸引区边界上,归属各吸引子的点混杂,形成第2层次分形结构.(2)分子力学参数对吸引区结构及大小有很大影响.上述结果可能为解决分子势能面上多能量极小点问题提供帮助.     

KM-01镍基变换-甲烷化催化剂热稳定性的实验室考察

高效煤气发生炉产生的气体中,一般CO含量较高.而CO热值低、毒性大,不符合安全用气标准,故须进行二次加工,使其全部或部分进行变换-甲烷化反应.在实际使用中,自制KM-01镍基变换-甲烷化催化剂上进行的宏观反应主要有变换、甲烷化和歧化三种放热反应,故催化剂要有良好的热稳定性.     

密度泛函理论在分子磁学中的应用

通过对桥联双核铁的磁耦合常数的计算，探讨了密度泛函理论计算条件对计算 结果的影响。基于密度泛函理论下的破损态方法，着重讨论了双核 Fe(III)_2的 d~5-d~5电子通过氧桥的超交换作用。研究发现分子的反铁磁通道主要是Fe(III) d_yz和d_z~2与μ-O的p轨道形成的，具有π*/π*和σ*/σ*特征的超交换通道。     

长链脂肪酸LB膜的X射线衍射研究

利用Langmuir-Blodgett技术制备了硬脂酸、花生酸及其混合酸的多层LB膜。用低角X射线衍射研究了它们的周期结构,硬脂酸和花生酸的LB膜在2θ=0.8°～23°的范围内分别出现13个和12个布拉格衍射峰,由此计算了它们的等同周期。用模型计算了它们衍射峰的强度,得到了与实验一致的衍射强度奇偶起伏的结果。在混合酸的LB膜中,可以观察到等同周期随混合比变化的规律。     

Fractal phenomena in molecular mechanics calculation

It is proposed that in molecular mechanics calculation points belonging to various stable or meta-sta-ble conformtrs are mixed up and form fractal structures in conformation space.The calculation results show the following two phenomena:(i)Two levels of structure with fractal feature were observed.Around the conformer without mirror symmetry points belonging to the conformer and its enantiomer are mixed up and form the first level of fractal structure; on the boundary of the attractive basin o{ each atlractor,points belonging to different attractors form the second level of fractal structure.(ii) The variation of molecular mechanics parameters will influence the structure and area of each attractive basin significantly The above phenomena may become the basis of a new method for solving the troublesome multi-minimum-point problem in molecular mechanics calculation.     

螯合纤维的研究：Ⅱ.含偕胺肟基螯合纤维的吸附性能

本文系统地研究了通过枝共聚和偕胺肟化反应制备的以聚乙烯醇缩甲醛（ＰＶＦ）无纺布为基体的含偕胺肟基螯合纤维对碱土，过渡贵重，稀土和放射性金属离子的螯合吸附行为，测定了在不同温度下的吸附速率曲线。并且首次发现这种螯合基团有氧化－还原性性质，能将高价金属离子如Ａｕ＾３＾＋还原成价态，即还原成元素金。     

草酸镁二水合物的非等温热分解动力学

The thermal decomposition of the magnesium oxalate dihydrate in a static air atmosphere was investigated by TG-DTG techniques. The intermediate and residue of each decomposition were identified from their TG curve. The kinetic triplet, the activation energy E, the pre-exponential factor A and the mechanism functionsf（a） were obtained from analysis of the TG-DTG curves of thermal decomposition of the first stage and the second stage by the Popesou method and the Flynn-Wall-Ozawa method.