Electronic states of a two-dimensional electron system in a lateral superlattice and a perpendicular magnetic field

The electronic state of a two-dimensional electron system (2DES) in the presence of a perpendicular uniform magnetic field and a lateral superlattice (LS) is investigated theoretically. A comparative study is made between a LS induced by a spatial electrostatic potential modulation (referred to as a PMLS) and that induced by a spatial magnetic-field modulation (referred ro asa MMLS). By utilizing a finite-temperature self-consistent Hartree-Fock approximation scheme; the dependence of the electronic state on different system parameters (e.g., the modulation period, the modulation strength, the effective electron-electron interaction strength, the averaged electron density, and the system temperature) is studied in detail. The inclusion of exchange effect is found to bring qualitative changes to the electronic state of a PMLS, leading generally to a nonuniform spin splitting, and consequently the behavior of the electronic state becomes similar to that of a MMLS. The Landau-level coupling is taken into account, and is found to introduce some interesting features not observed before. It is also found that, even in the regime of intermediate modulation strength, the density dependence of the spin splitting of energy levels, either for a PMLS or a MMLS, can be qualitatively understood within the picture of a 2DES in a perpendicular magnetic field with the modulation viewed as a perturbation. [S0163-1829(97)02248-0].

Evaluation of thermal radiation dependent performance of GaSb thermophotovoltaic cell based on an analytical absorption coefficient model

Applying the model dielectric function method, we have expressed the absorption coefficient of GaSb analytically at room temperature relating to the contribution of various critical points of its electronic band structure. The calculated absorption spectrum shows good agreement with the reported experimental data obtained by spectral ellipsometry on nominally undoped sample. Based on this analytical absorption spectrum, we have qualitatively evaluated the response of active absorbing layer structure and its photoelectric conversion properties of GaSb thermophotovoltaic device on the perturbation of external thermal radiation induced by the varying radiator temperature or emissivity. Our calculation has demonstrated that desirable thickness to achieve the maximum conversion efficiency should be decreased with the increment of radiator temperature and the performance degradation brought by any structure deviation from its optimal one would be stronger meanwhile. For the popular radiator temperature, no more than 1500 K in a real solar thermophotovoltaic system, and typical doping profile in GaSb cell, a reasonable absorbing layer structure parameter should be controlled within 100-300 nm for the emitter while 3000-5000 nm for the base.

Hydrate dissociation conditions for gas mixtures containing carbon dioxide, hydrogen, hydrogen sulfide, nitrogen, and hydrocarbons using SAFT

A new method, a molecular thermodynamic model based on statistical mechanics, is employed to predict the hydrate dissociation conditions for binary gas mixtures with carbon dioxide, hydrogen, hydrogen sulfide, nitrogen, and hydrocarbons in the presence of aqueous solutions. The statistical associating fluid theory (SAFT) equation of state is employed to characterize the vapor and liquid phases and the statistical model of van der Waals and Platteeuw for the hydrate phase. The predictions of the proposed model were found to be in satisfactory to excellent agreement with the experimental data.

Four-wave mixing self-stability based on photonic crystal fiber and its applications on erbium-doped fiber lasers

The analytic solutions of coupled-mode equations of four-wave mixings (FWMs) are achieved by means of the undepleted approximation and the perturbation method. The self-stability mechanism of the FWM processes is theoretically proved and is applicable to design a new kind of triple-wavelength erbium-doped fiber lasers. The proposed fiber lasers with excellent stability and uniformity are demonstrated by using a flat-near-zero-dispersion high-nonlinear photonic-crystal-fiber. The significant excellence is analyzed in theory and is proved in experiment. Our fiber lasers can stably lase three waves with the power ripple of less than 0.4 dB. (c) 2005 Elsevier B.V. All rights reserved.

Observation of quantum beat in Rb by parametric four-wave mixing

Two coupled parametric four-wave-mixing processed in Rb atoms are studied using perturbation theory, which reveals clear evidence of the appearance of quantum beat at 608 cm(-1), corresponding to the energy difference of the 7s - 5d states of Rb atoms, in the parametric four-wave-mixing signals. A pump-probe technique is utilized to observe the quantum beat. Time-varying characteristics of the quantum beat are investigated using time-dependent Fourier transform. The results show that the time-varying characteristics of the quantum beat potential tool for monitoring the dissociation of molecules.

Identical dual-wavelength fiber Bragg Gratings

In this paper, identical dual-wavelength fiber Bragg, gratings (FBGs) are theoretically proposed and experimentally demonstrated. On the assistance of the Fourier theory, the gratings with symmetrical spectrum are designed in the case of weak refractive-index modulations. With the. perturbation technique, the results achieved in the previous step are modified to meet the strong refractive-index modulation gratings. Based on the coupled-mode theory, we have optimized and achieved the identical dual-wavelength FBGs with two channels that have equal bandwidth and even strength. We have also experimentally demonstrated the proposed FBGs, and the experimental results are compared with theoretical predictions with good agreement.

基于GIS的黄土丘陵区土壤水库库容组成及其定量分析——以陕北安塞县为例

以空间图形和数据库为基础,对土壤水库的相关技术指标、研究深度和静态库容组成等进行了描述、界定和计算。研究认为:安塞县5m深土层土壤水库总库容为1419.78mm/416156万m3,其中死库容占土壤总库容的21.08%,重力库容占土壤总库容的13.82%,有效库容占土壤总库容的65.10%,最大有效库容占总库容的78.92%;从土地利用类型方面来看,坡耕地和荒坡地总库容量最大,分别占研究区土壤水库总库容的37.65%和36.04%;从坡度分级方面来看,>25°和10°～15°坡度级别土壤总库容量最大,分别占研究区土壤水库总库容的41.50%和30.52%;峁坡和沟坡土壤水库库容组成基本相等。

两个冠醚分子在简正坐标分析及NRCC程序在微机上的移植

本文用加拿大国立研究院(National Research Council of Canada) Fuhrer等人编制的FORTRAN语言程序（以下简称NRCC程序），对两个冠醚类化合物进行了简正坐标分析，这两个化合物分子是二氧六环(C_4H_8O_2)和12－冠－4(C_8H_(16)O_4)。作者用Synder和Zerbi提出的一般价力场，计算了二氧六环的36个简正振动频率，精化四次后的结果误差为14.04 cm~(-1)，得到了二氧六环的精化力场和势能分析矩阵；做了12－冠－4－的中红外光谱(3200-5000cm~(-1))。远红外光谱(500-70cm~(-1))和拉曼光谱(3200-50 cm~(-1)，从而归属出12－冠－4的78个简正振动频率实验值；利用二氧六环的精化力场作为初始力场，计算了12－冠－4的简正振动频率，对78个简正振动频率进行了精化计算，精化三次后的结果误差为13.99 cm~(-1)，精化后得到12－冠－4的精化力场和势能分布矩阵；将NRCC程序以BASIC语言移至TRS-80微型机上，对二氧六环进行了计算，结果良好，首次给出二氧六环一般价力场的势能分布。一、对二氧六环的处理 二氧六环分子式C_4H_8O_2，合14个原子，有3N－6＝36个简正振动频率。分子结构系由二个乙氧基(-CH_2-CH_2-O-)单元组成的含有四个碳，两个氧的六元环，平衡态分子为椅式构象，属于C_(2h)点群，36个简正振动频率分为四个对称类Ag、Au、Bg和Bu，分布是：Ag 10个，Bg 8个，Au 9个，Bu9个。二氧六环的分子结构及坐标示意图见28而图5，定义了14个伸缩内坐标，26个弯曲内坐标，6个扭曲内坐标，共46个，C－C键长1.54A，C-O键长1.41 A，C－H键长1.096A，键角都用109°28'。用CART程序（NRCC程序之一）计算二氧六环14个原子的笛卡尔坐标，用GMAT程序（NRCC程序之二）计算其B矩阵和G矩阵，用FPERT程序（NRCC程序之三）计算其简正振动频率、精化力场，计算用一般价力场，引入V矩阵对称化，将46个坐标化为46个（内）对称坐标，10个多余坐标在FPERT程序计算中除去。二、对12－冠－4的处理 12－冠－4分子式C_8H_(16)O_4，含28个原子，共3N－6＝78个简正振动频率，分子结构为四个乙氧基(-CH_2-CH_2-O-)单元组成的含八个碳、四个氧的12元环，自由分子的12－冠－4属于C点群。结构数据引自Groth的X光衍射分数和坐标，自己编制了BASIC语言程度将分数坐标化为笛卡尔坐标，用GMAT程序计算B矩阵和G矩阵，FPERT程序计算78个简正振动频率、精化力场、计算势能分布矩阵，引入U矩阵将92个内坐标化为92个对称坐标，14个多余坐标在FPERT程序中自动除去。三、结果 势能分布矩阵给出分子的振动归属，对这两个冠醚类分子的3N－6个简正振动频率，可以划分为五个振动区域。1．C－H伸缩振动区（3000－2800 cm~(-1)） 在该区中，二氧六环有八个值：2974、2966、2854和2867 cm~(-1)各两个，12－冠－4有16个值：2935、2923、2915和2907 cm~(-1)各两个，2860 cm~(-1)8个，高于2900 cm~(-1)者为反对称伸缩振动，低于2900 cm~(-1)者为对称伸缩振动。2．亚甲基弯曲振动之一(1500-1400 cm~(-1)) 该区的主要振动是亚甲基剪式振动(Scissor)，其它振动小于10％二氧六环在该区有四个频率：1443、1461、1451和1457 cm~(-1)，12－冠－4有八个频率：1466、1450、1450和1405 cm~(-1)各两个。3．亚甲基弯曲振动区二(1400-1200 cm~(-1))该区的主要振动模式为亚甲基的颤动(wag)、卷曲(twist)和摆动(rock)振动，其它振动小于13％。二氧六环在该区有八个频率：1334、1303、1396、1216、1367、1264、1377和1296 cm~(-1)，12－冠－4有十六个频率：1388、1363、……1229 cm~(-1)（其中1288、1307cm~(-1)非简并，其余皆两重简并）。4．环的骨架伸缩振动区(1200-600 cm~(-1))该区振动模式复杂，除环的骨架伸缩振动外，还有亚甲基的wag、twist、rock以及环的骨架弯曲振动，而且这些振动的势能分布值都不小。二氧六环在该区有十一个频率，从1127至610 cm~(-1)，12－冠－4有二十个频率，从1135至184 cm~(-1)且大都是二重简并的。5．低频区(600-50cm~(-1))这两个分子在低频区的势能分布略有差别。二氧六环在该区有五个频率：503、486、427、276和224 cm~(-1)，主要振动模式为骨架弯曲振动和扭曲振动，C－O、C－C的扭曲振动在三个最低频率中分布占10－30％。12－冠－4在该区有18个频率，除570和547cm~(-1)处，都是二重简并的，六个最低频率的振动模式完全属于C－O、C－C键的扭曲振动，其它振动小于10％，所以200 cm~(-1)以下可称为12－冠－4的扭曲振动区，在600－200cm~(-1)之间的12个频率主要是骨架的弯曲振动，也有一定量的亚甲基wag、twist、rock振动。12－冠－4的简正坐标分析尚未有人做过。二氧六环的计算结果与Snyder和Zerbi的分析相吻合，12－冠－4和二氧六环两分子势能分布的相对一致性证明了对12－冠－4的简正坐标分析基本是正确的。本文比较了二分子的力常数和振动频率，探讨了环的大小对振动光谱的影响。四、NRCC程序简介 NRCC程序由CART、GMAT和FPERT三个程序组成，即可联一起运用，亦可分开独立进行运算。该程序功能强，所占内存大，适于大、中型计算机使用。CART程序之名字取自Cartisian Co-or-dinates的前四个字母，功能系由分子结构参数（键长、键角）计算分子内各原子的笛卡尔坐标。GMAT程序之名字取自G matrix的前四个字母，功能系由分子内各原子的笛卡尔坐标，原子质量和内坐标定义计算分子内各原子的坐标交换矩阵B和Wilson振动动能矩阵G。FPERT程序之名字取自F Perturbation的前五个字母，功能系由分子振动功能矩阵G、势能常数即力常数矩阵F计算分子的简正振动频率和势能分布矩阵，再通过实验频率精化势能矩阵F。NRCC程序可对含30个原子、60个内坐标的分子进行简正坐标分析，扩充后容量增大一倍。该程序可选用一般价力场(General Valence Force Field, 简称GVFF)和UBS力场(Urey-Bradley-Shimanouchi Force Field)，简称UBSFF或UBFF)。可选用对称化U矩阵，可自行决定力场精化次数和阻尼常数以限制精化结果的收敛性。五、NRCC程序在TRS－80微型机上移植试尝（该部分曾在第三届长春夏季化学讨论会上宣读）针对NRCC程序占内存空间大、难以在微型机上实现的情况，作者将NRCC程序改编为BASIC语言，改变程序的原来结构，形成一组BASIC语言程序：CART／BAS、GMAT／BAS和VIFR／BAS，改编后的BASIC程序在TRS－80微型机调试通过，TRS－80机字长8位，New Dos系统内存32K。改写后的程序只保持了原程序的基本原理，在内存，语句上改动很大，以适于微型机使用。数据在程序中直接嵌入，利于修改替换，且BASIC语言简单易学，便于操作。CART／BAS程序可计算含30个原子以内的分子的笛卡尔坐标，GMAT／BAS程序可计算含20个原子、45个内坐标的分子的G矩阵，VIFR／BAS程序可计算含15个原子的分子的简正振动频率。利用这组程序，作者以二氧六环分子为例做了一些试尝运算，误差14.4 cm~(-1)，相对误差1.8%，结果较理想。

Exciton states in isolated quantum wires

The exciton states in isolated and semi-isolated quantum wires are studied. It is found that the image charges have a large effect on the effective Coulomb potential in wires. For the isolated wire the effective potential approaches the Coulomb potential in vacuum at large z distance. For the semi-isolated wire the effective potential is intermediate between the Coulomb potential in vacuum and the screened Coulomb potential at large distance. The exciton binding energy in the isolated wire is about ten times larger than that in the quantum well, and that in the semi-isolated wire is also intermediate between those in the isolated wire and in the quantum well. When the lateral width increases the binding energy decreases further, and approaches that in the quantum well. The real valence-band structure is taken into account, the exciton wave functions of the ground state in the zero-order approximation are given, and the reduced mass is calculated. The effect of the coupling between the ground and excited states are considered by the degenerate perturbation method, and it is found the coupling effect is small compared to the binding energy.

Photoluminescence of GaInP under high pressure

Photoluminescence of GaInP under hydrostatic pressure is investigated. The Gamma valley of disordered GaInP shifts sublinearly upwards with respect to the top of the valence band with increasing pressure and this sublinearity is caused by the nonlinear relationship between lattice constant and hydrostatic pressure. The Gamma valleys of ordered GaInP rise more slowly than that of the disordered one and the relationship between the band gap and the pressure can not be explained in the same way. Taking into account the interactions between the Gamma valley and the folded L valleys, as well as, the X valleys, the experimental pressure dependences of the band gap of ordered GaInP epilayers are calculated and fitted quite well using first order perturbation theory. The results indicate that simultaneous ordering along [111] and [100] directions can occur in ordered GaInP. (C) 1996 American Institute of Physics.

A DOUBLE-QUANTUM-WELL IN A DRIVING LASER FIELD

The dynamic effect of electrons in a double quantum well under the influence of a monochromatic driving laser field is investigated. Closed-form solutions for the quasienergy and Floquet states are obtained with the help of SU(2) symmetry. For the case of weak interlevel coupling, explicit expressions of the quasienergy are presented by the use of perturbation theory, from which it is found that as long as the photon energy is not close to the tunnel splitting, the electron will be confined in an initially occupied eigenstate of the undriven system during the whole evolution process. Otherwise, it will transit between the lowest two levels in an oscillatory behavior.

Structural properties of SI-GaAs grown in space

The structural properties of Semi-insulating gallium arsenide (SI-GaAs) crystal grown with power-travelling technique in space have been studied by double-crystal x-ray diffractometry and chemical etching. The quality of the crystal was first evaluated by x-ray rocking-curve method. The full width at half maximum of x-ray rocking curve in space-grown SI-GaAs is 9.4+/-0.08 are seconds. The average density of dislocations revealed by molten KOH is 2.0 X 10(4) cm(-2), and the highest density is 3.1 X 10(4) cm(-2). The stoichiometry in the single crystal grown in space is improved as well. Unfortunately, the rear of the ingot grown in space is polycrystalline owing to being out of control of power. (C) 1999 COSPAR. Published by Elsevier Science Ltd.

Strain effects on optical polarisation properties in (11(2)over-bar2) plane GaN films

We present the theoretical results of the electronic band structure of wurtzite GaN films under biaxial strains in the (11 (2) over bar2)-plane The calculations are performed by the kappa p perturbation theory approach through using the effective-mass Hamiltonian for an arbitrary direction The results show that the transition energies decrease with the biaxial strains changing from -0 5% to 0 5% For films of (11 (2) over bar2)-plane, the strains are expected to be anisotropic in the growth plane Such anisotropic strains give rise to valence band mixing which results in dramatic change in optical polarisation property The strain can also result in optical polarisation switching phenomena Finally, we discuss the applications of these properties to the (11 (2) over bar2) plane GaN based light emitting diode and lase diode

Application of the characteristic CIP method to a shallow water model on the sphere

Semi-implicit algorithms are popularly used to deal with the gravitational term in numerical models. In this paper, we adopt the method of characteristics to compute the solutions for gravity waves on a sphere directly using a semi-Lagrangian advection scheme instead of the semi-implicit method in a shallow water model, to avoid expensive matrix inversions. Adoption of the semi-Lagrangian scheme renders the numerical model always stable for any Courant number, and which saves CPU time. To illustrate the efficiency of the characteristic constrained interpolation profile (CIP) method, some numerical results are shown for idealized test cases on a sphere in the Yin-Yang grid system.