氢原子间范德华引力的计算

自从1930年伦敦发表了关于氢原子的范德华引力计算,到现在已经三十年了,但利用伦敦公式: △E_2=(-12/(R/α_0)~6)(e~2/α_0)∑(f_(1n1)f_(1n2))/((1-(1/n_1~2))(1-(1/n_2~2))(2-(1/n_1~2)-(1/n_2~2))) (1)仅能求出偶极项△E_2=6.47e~2(α_0~5/R~6)。利挪一琼斯根据下列公式对氢原子的范德华引力进行了计算: △E_2=-1/(2|E_0|)∫ψ_1~2(1)V~2φ_1~2(2)dt_1dt_2-12e~2/α_0(R/α_0)~6∑f_(1n′)f_(1n″)((1/n′~2) (-1/n″~2))/2(1-(1/n′~2))(1-(1/n″~2))(2-(1/n′~2)-(1/n″~2)) (2)所得结果与伦敦相近。马琴拿利用了一种近似的方法,得到二级摄动的能量表示公式     

SrTiO3中离子自扩散参数评估

评估了在未掺杂SrTiO3中氧的自扩散数据,得出:(1)在SrTiO3晶体中,氧通过氧空位扩散,扩散最快的离子为O2-,其次为Sr2+,最慢的为Ti4+.(2)在1 098~1 623 K范围,氧分压在0.2~7.6×104 Pa内变化时,得到氧在SrTiO3晶体中的自扩散系数,而位错密度和氧分压对扩散系数影响不大.     

渐近非扩张映射的不动点三步迭代

设D是一致凸空间中的非空紧凸子集,T:D→是渐近非扩张映射且F(T)≠,kn≥1,∑∞n=1(kn-1)<∞,设{un},{u′n},{u″n}是D中有界序列,{an},{bn},{cn},{a′n}{b′n}{c′n}{a″n},{b″n},{c″n}是[0,1]中序列且满足:i)an+bn+cn=a′n+b′n+c′n=a″n+b″n+c″n=1;ii)b″n,b′n∈[a,b](0,1);bn∈[0,b];iii)∑∞n=1cn<∞,∑∞n=1c′n<∞,∑∞n=1c″n<∞.对x1∈D,定义:zn=anxn+bnTnxn+cnun;yn=a′nxn+b′nTnzn+c′nu′nn≥1;xn+1=a″nxn+b″nTnyn+c″nu″n则{xn},{yn},{zn}强收敛于T的不动点.     

氧化钙-氧化锆陶瓷中过剩氧浓度的确定

本文采用吸收-解吸氧的方法测定了CaO-ZrO_2在氧压10~(-8)～1.0大气压范围内的过剩氧浓度,实验研究了影响过剩氧浓度的各种因素:氧压,温度,掺杂氧化物及杂质。结果表明,具有变价的过渡金属氧化物是该材料过剩氧浓度的决定因素。关于电子正孔扑捉模型的假设从实验上得到了证实。在本文条件下电子正孔的扑捉中心是Fe″Z r。过剩氧浓度随温度升高而升高。氧在该陶瓷的溶解热为191 kJ/mole。利用晶体缺陷热力学平衡导出了电子正孔浓度与氧压的依赖关系,在恒温下电子正孔总浓度正比于Po_2~(1/4),理论表达式与实验测量结果一致。本文的发现对于改进固体电解质的响应时间具有重要意义。     

微波诱导合成5-芳氧亚甲基-2-[5′-(4″-氯代苯基)- 2′-呋喃甲酰胺基]-1,3,4-噁二唑

在微波辐射条件下,由1 芳氧乙酰基 4 [5′ (4″ 氯代苯基) 2′ 呋喃甲酰基]氨基硫脲(1a～1i)在醋酸汞存在下,快速环合合成了一系列5 芳氧亚甲基 2 [5′ (4″ 氯代苯基) 2′ 呋喃甲酰胺基] 1,3,4 二唑(2a～2i).     

角轧的一般公式(摘要)

苏联轧钢界,在本世记三十年代,有Иг.М.巴甫洛夫通讯院士的角轧宽度公式: (b′)/b=(μ′)/((1+Sin~2δ_o′(μ′~2-1))~(1/2)) (b″)/(b′)=(μ″)/((1+Sin~2δ_o″(μ″~2-1))~(1/2))式中b、b′——沿第一对角线轧制前和轧制后的宽度;     

幂律流体在同心环形空间中流动的稳定性

本文将Hanks稳定性理论推广应用于研究幂律流体在同心环形空间中流动的稳定性,得到了判别其流动状态的的当量临界雷诺数(Re′_c)。Re′_c=25856/C(n,r_(io))为了便于工程应用,文中还对幂律流体在同心环形空间中轴向层流的精确解及临界雷诺数进行了数值分析,得出了r_(do)及/Re′_c的近似相关式。r_(do)=α_o(n) α_1(n)r(?) α_2(n)r(?) α_3(n)r_(io) Re′c=A_0(n) A_1(n)r_(io)~(1/T) A_2(n)r_(io)~(2/T)     

单叶函数的偏差定理及系数模之差

§1.引言设函数 f(z)=z+sum from n=2 to ∞ a_nz~n∈S是单位圆内的单叶解析函数,函数 f_1(z)=sum from n=1 to ∞ a_(2n-1)z~(2n-1),|z|=γ<1,(一)戈鲁净对 f(z)及 f_1(z)有下面准确的估计(1):|f(z)|+|f(-z)|≤γ/((1-γ)~2)+γ/((1+γ)~2) (1)|f′(z)|+|f′(-z)|≤(1+γ)/((1-γ)~3)+(1-γ)/((1+γ)~3) (2)|f_1(z)|≤γ(1+γ~2)/((1-γ~2)~2),|f′_1(z)|≤(1+6γ~n+γ~4)/((1-γ~2)~3),|(zf′_1(z))/(f_1(z))|≤(1+6γ~2+γ~4)/(1-γ~4) (3)本文将证明:设 f(z)=z+sum from n=2 to ∞ c_nz~n 是星形单叶函数,F(z)=z+sum from n=2 to ∞ a_nz~n 是凸形单叶函数,函数 F_1(z)     

多项式的倒数对可微函数的逼近

设非线性函数,f(x)∈C[-1,1]是非负的,f′(x)∈C[-1,1],f■(x)=f(x) ε,其中ε<0,C■是与ε无关的常数,当,f(x)满足[f'(x)]~2/f_■(x)≤C■时,存在次数不超过n的代数多项式P_n(x),使得f(x)-1/P_n(x)1≤C_f~″·1/nω(f′,1/n)(C_f~■仅与C■有关)。根据这个定理,得到多项式f(x)=x~2或x_ ~2的倒数的逼近阶是0(2/n~2)。     

8-[4'-丙氧基(1,1-联苯)-氧]-辛酸的合成与表征

以联苯二酚为原料经2步反应合成了8-［4′-丙氧基(1,1-联苯)-氧］-辛酸, 并对影响产率的因素进行了探讨;通过红外光谱和核磁共振谱表征了8-［4′-丙氧基(1,1-联苯)-氧］-辛酸的化学结构,并用差示扫描量热法和热台偏光显微镜表征了其热致液晶性质。结果表明,第1步合成4′-丙氧基-4-羟基联苯的适宜条件为: n（联苯二酚）∶ n（溴代正丙烷）∶ n（碱）＝1∶1.2∶1,碘化钾用量为4.5%（以联苯二酚质量为基准）,加热回流8h;第2步制得8-［4′-丙氧基(1,1-联苯)-氧］-辛酸的适宜条件为;n（碳酸钾）∶ n（8-溴辛酸乙酯）∶ n（4′-丙氧基-4-羟基联苯）=2∶1.5∶1,相转移剂四丁基溴化铵用量为10%（以4′-丙氧基-4-羟基联苯质量为基准）,加热回流24h,将产物在甲醇中水解制得,产率40%, 纯度可达94.9%。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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