We consider a three-electron system in the Impurity Hubbard model with a coupling between nearest-neighbors. Our research aim consists of studying the structure of essential spectrum and discrete spectra of the energy...We consider a three-electron system in the Impurity Hubbard model with a coupling between nearest-neighbors. Our research aim consists of studying the structure of essential spectrum and discrete spectra of the energy operator of three-electron systems in the impurity Hubbard model in the quartet state of the system in a <em>v</em>-dimensional lattice. We have reduced the study of the spectrum of the three-electron quartet state operator in the impurity Hubbard model to the study of the spectrum of a simpler operator. We proved the essential spectra of the three-electron systems in the Impurity Hubbard model in the quartet state is the union of no more than six segments, and the discrete spectrum of the system is consists of no more than four eigenvalues.展开更多
The co-oxidation of a mixture of phenylsulfinylacetic acid (PSAA) and oxalic acid (OxH2) by Cr(VI) in 20% acetonitrile-80% water (v/v) medium follows third order kinetics, first order, each with respect to PSAA, OxH2 ...The co-oxidation of a mixture of phenylsulfinylacetic acid (PSAA) and oxalic acid (OxH2) by Cr(VI) in 20% acetonitrile-80% water (v/v) medium follows third order kinetics, first order, each with respect to PSAA, OxH2 and Cr(VI). The reaction involves nucleophilic attack of sulfur atom of PSAA on chromium of the oxidizing species, Cr(VI)-OxH2 to form a ternary complex, Cr(VI)-OxH2-PSAA followed by a one-step three-electron reduction of Cr(VI) to Cr(III) and simultaneous oxidation of both the substrates. The reaction is catalysed by Mn2+ ion while retarded by Al3+ ion. Electron releasing substituents in the meta- and para-positions of the phenyl ring of PSAA enhance the rate of co-oxidation while electron withdrawing substituents retards the reaction. The Hammett plots at different temperatures exhibit excellent correlation with negative ρ values. The reaction series obey isokinetic relationship and the observed isokinetic temperature is lying below the experimental range of temperature.展开更多
三维电子气(Three Dimensional Electron Gas,3DEG)是极化掺杂场效应晶体管(Polarization-doped Field Effect Transistor,PolFET)优秀性能的关键所在,但目前未见三维电子气相关的定量理论工作。提出三维电子气的定量理论,基于PolFET中...三维电子气(Three Dimensional Electron Gas,3DEG)是极化掺杂场效应晶体管(Polarization-doped Field Effect Transistor,PolFET)优秀性能的关键所在,但目前未见三维电子气相关的定量理论工作。提出三维电子气的定量理论,基于PolFET中的渐变Al组分铝镓氮(Aluminum Gallium Nitride,AlGaN)层的极化效应定量研究,计算体极化电荷分布,结合空间电荷分析提出AlGaN层的耗尽近似和中性近似,引入费米-狄拉克统计、能带电势关系等物理关系,建立求解耗尽区宽度的方程组,定义其边界条件与边界近似,并给出求解耗尽区宽度的数值解法和方程解析解(最大相对误差均不超过3%)。展开更多
文摘We consider a three-electron system in the Impurity Hubbard model with a coupling between nearest-neighbors. Our research aim consists of studying the structure of essential spectrum and discrete spectra of the energy operator of three-electron systems in the impurity Hubbard model in the quartet state of the system in a <em>v</em>-dimensional lattice. We have reduced the study of the spectrum of the three-electron quartet state operator in the impurity Hubbard model to the study of the spectrum of a simpler operator. We proved the essential spectra of the three-electron systems in the Impurity Hubbard model in the quartet state is the union of no more than six segments, and the discrete spectrum of the system is consists of no more than four eigenvalues.
文摘The co-oxidation of a mixture of phenylsulfinylacetic acid (PSAA) and oxalic acid (OxH2) by Cr(VI) in 20% acetonitrile-80% water (v/v) medium follows third order kinetics, first order, each with respect to PSAA, OxH2 and Cr(VI). The reaction involves nucleophilic attack of sulfur atom of PSAA on chromium of the oxidizing species, Cr(VI)-OxH2 to form a ternary complex, Cr(VI)-OxH2-PSAA followed by a one-step three-electron reduction of Cr(VI) to Cr(III) and simultaneous oxidation of both the substrates. The reaction is catalysed by Mn2+ ion while retarded by Al3+ ion. Electron releasing substituents in the meta- and para-positions of the phenyl ring of PSAA enhance the rate of co-oxidation while electron withdrawing substituents retards the reaction. The Hammett plots at different temperatures exhibit excellent correlation with negative ρ values. The reaction series obey isokinetic relationship and the observed isokinetic temperature is lying below the experimental range of temperature.
文摘三维电子气(Three Dimensional Electron Gas,3DEG)是极化掺杂场效应晶体管(Polarization-doped Field Effect Transistor,PolFET)优秀性能的关键所在,但目前未见三维电子气相关的定量理论工作。提出三维电子气的定量理论,基于PolFET中的渐变Al组分铝镓氮(Aluminum Gallium Nitride,AlGaN)层的极化效应定量研究,计算体极化电荷分布,结合空间电荷分析提出AlGaN层的耗尽近似和中性近似,引入费米-狄拉克统计、能带电势关系等物理关系,建立求解耗尽区宽度的方程组,定义其边界条件与边界近似,并给出求解耗尽区宽度的数值解法和方程解析解(最大相对误差均不超过3%)。
