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1.
给出了一种计A-BC型弱相互作用分子体系的分子间振转激发态的自洽场-组态相互作用(SCF-CI)方法. 首先使用SCF方法代化径向伸缩振动和弯曲振动的基函数,再用CI方法确定精确的振转激发态能级. 在求解-维的伸缩振动SCF方程时,采用Numerov-Johnson算法在给定区间上求解获得振动波函数的数值解. 具体计算了Ar-HCI和Ar-N2体系的振转激发态的能级以验证该方法. 结果表明,本方法可用较少的组态就能获得可与其它大计算量的方法具有相比拟的精度的结果.  相似文献   

2.
利用Lie代数方法研究了弯曲三原子分子的振动高激发态能谱,并以SO_2为例, 拟合 30条光谱能级得到的 RMS误差是 1.66 cm~-1.结果表明,所得到的分子 Hamiltonian 的代数展开式可以很好地再现实验能级,它预测了SO_2分子振动总量子数达10的全部 振动能级.从得到的该代数Hamiltonian还可以得到势能面等.  相似文献   

3.
利用动力学群U1(4)ÄU2(4)的对称性质以及相应的Lie代数给出了描写线形三原子分子振转谱的Hamilton量. 在考虑了振转相互作用后, 所得上述Hamilton量本征值的表达式具有在光谱分析计算中常用的项值方程的形式. 利用此表达式拟合观察线位可以得到分子的振转常数. 作为算例, 对N2O及HCN分子(0200-0110)ν2红外跃迁谱带的转动能级进行了拟合分析, 所得均方根误差分别为0.00001和0.0014 cm-1.  相似文献   

4.
李代数方法在研究双原子分子、三原子分子振-转光谱及相关问题等方面已被证明是一种有效方法[‘-0,并被成功推广到多原子分子[’-门.构造代数哈密顿量是此方法的关键,这就要求选择合适的  相似文献   

5.
利用M.F.Reid的f壳层经验程序和P.A.Tanner发表的氯冰晶石Ca2NaLnCl6体系中Pr3+和Tm3+离子的能级参数计算出它们的基组态的中间态波函数14fN?SLJ(共13个),然后将其代入单位张量算符U(?)(?=2,4,6)的约化矩阵元公式中,分别计算出Pr3+和Tm3+离子的各个多重态之间电偶极跃迁的约化矩阵元的值.对该约化矩阵元在分析激发态吸收几率或能量传递几率的应用做了讨论.  相似文献   

6.
近几年来 ,人们用李代数方法处理了许多问题 [1~ 5] ,在此基础上 ,我们利用动力学李代数方法研究了准线型四原子分子高激发振动态 ,把分子的 Hamiltonian展开成 Casimir算子与 Majorana算子之和[6,7] ,然后进行代数处理 ,从而得到了代数 Hamiltonian的本征值 .1 基本理论四原子分子有 3个键 ,所满足的对称群为 G=U1(4) U2 (4) U3 (4) ,处理分子问题时 ,一般要考Fig.1  The bond coordinates of fulminic acid(HCNO)虑键与键之间的耦合 ,为了方便 ,首先让键 1与键 2耦合 ,然后再与键 3耦合 (图 1 ) .这种耦合方式可记为 (1 2 ) 3 …  相似文献   

7.
8.
Using the quantum self-trapping theory, the interaction model (IM) for calculation of vebrational spectroscopy for tri-atomic molecules has been devoloped, and the results for 16O3, 18 O3, SO2, HCN and DCN are in good agreement with the experirnental data. It shows that this method is superior to the NM and LM methods, and it is applicable to the calculation of high-excited vibrational states especially.  相似文献   

9.
利用李群方法与二次量子化理论计算了平面XY_3型分子的转一振能级。结果表明,如果将分子的转动与振动均看作是谐振子,则可导出这种分子的转一振能级公式。  相似文献   

10.
三原子分子振转激发态的理论研究谢代前,鄢国森,田安民(四川大学化学系,成都,610064)关键词振转激发态,三原子分子,变分法能级较高的振转激发态通常包含大振幅运动,其波函数分布于很广的势能面区域内,传统的正则模理论已不适合于解决这类问题.近年来,H...  相似文献   

11.
Potential energy surfaces play an important role in studying theoretical chemistry. In the present paper, we first use the dynamical symmetry group G = U 1(4) U 2(4) U 3(4) to get the expression of the potential energy surface for the stable linear asymmetric tetratomic molecules with the stretching vibration and the dissociation energy. The method can be applied to a number of stable tetratomic molecules. As an example we use the method to calculate the potential energy surface of C2HD.  相似文献   

12.
We present the quantum mechanical studies on the vibrational energy transfer in the inelastic collinear collision between two diatomic molecules using a dynamic Lie algebraic method of Alhassid and Levine [Phys. Rev. A 18 , 89 (1978)] within the semiclassical approximations. A dynamical algebra h15 is formed and used for calculating the transition probabilities and the expectation values of the interaction potential. Under the first-order approximation of the group parameters, the selection rules for the transitions among the vibrational levels have been obtained. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65 : 159–165, 1997  相似文献   

13.
By using the general Hamiltonian based on the Lie algebraic method, the highly excited vibrational energy levels of linear triatomic molecules CS2 and CO2 are calculated, which proves that neglecting other perturbations and considering only 1:2 Fermi resonance, the obtained Hamiltonian can be used effectively to calculate the vibrational energy levels of linear triatomic molecules. © 2001 John Wiley & Sons, Inc. Int J Quant Chem 81: 154–161, 2001  相似文献   

14.
15.
The Hamiltonian describing rotational spectra of linear triatomic molecules has been derived by using the dynamical Lie algebra of symmetry group U1(4) U2(4). After rovibrational interactions being considered, the eigenvalue expression of the Hamiltonian has the form of term value equation commonly used in spectrum analysis. The molecular rotational constants can be obtained by using the expression and fitting it to the observed lines. As an example, the rotational levels of v2 band for transition (02°0-0110) of molecules N2O and HCN have been fitted and the fitting root-mean-square errors (RMS) are 0.00001 and 0.0014 cm-1, respectively.  相似文献   

16.
The dynamical Lie algebraic (DLA) method is used to describe statistical mechanics of energy transfer in rotationally inelastic molecule–surface scattering. Statistical average values of an observable for the scattering system are calculated in terms of density operator formalism in statistical mechanics. Employing a cubic expansion procedure of molecule–surface interaction potential leads to generation of a dynamical Lie algebra. Thus these statistical average values as a function of the group parameters can be obtained analytically in this formulation. The group parameters can be found from solving a set of coupled nonlinear differential equations. The DLA method, which has no need for determination of transition probabilities in advance as made routinely in the calculation, offers an efficient alternative to the method for computing the statistical average values. This method is much less computationally intensive because most of calculations can be analytically carried out. The average final rotational energies and their dependence on the main dynamic variables and the average interaction potential are presented for the rotationally inelastic scattering of NO molecules from a flat, static Ag(111) surface. Direct comparison is made between the predictions of this model calculation and experiment. The model reproduces well the degree of rotational excitation and correlation between the average final translational and the average rotational energies. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001  相似文献   

17.
在半经典近似下将动力学李代数方法和中间绘景结合应用于原子-双原子分子(非谐振子)共线碰撞中的平动-振动传能的研究。在群参量的一级近似下求解群参量的运动方程,进而确定时间演化算符。并以散射体系H2+He为例,计算了H2分子的振动跃迁几率,计算结果与精确量子力学计算结果符合得较好。  相似文献   

18.
冯悦  邱菊辉  贺佳佳  王伯初  冯莹柱 《化学通报》2022,85(12):1510-1516,1482
研究蛋白质互作的化学生物学方法主要有荧光共振能量转移(Fluorescence resonance energy transfer, FRET)、酵母双杂交(Yeast two-hybrid technology, YTH)、免疫共沉淀(Co-immunoprecipitation, Co-IP)等。在此基础上,为了发展一种新的研究生物大分子互作,特别是膜蛋白相互作用的定量计算方法,依据前期研究发现,应用ELISA方法与QAH-NEU-1定量芯片技术检测NLRP2:ShRNAs慢病毒(Lentivirus)感染人脑微血管内皮细胞(Human brain microvascular endothelial cells, HBMEC), 敲除(Knocking down)NLRP2基因后的IL-18的分泌量与对照组比较, 显著提高(IL-18: 998 pg/mL),表明它在炎症免疫中起关键调控作用。本文采用高性能的Discovery Studio 2021(DS2018R2)大分子计算模拟软件,在RCSB PDB数据库中调用蛋白质文件建立其立体结构,应用ZDOCK程序算法探究IL-18亚基(AB亚基或B亚基)与IL-18R互作的空间结构与构象变化,计算找到了相互作用界面的氨基酸的一级序列与二级结构,以及它们之间的相互作用力,并用拉氏图评估对接构象,研究发现B亚基在IL-18与IL-18R的结合中起主要作用。该计算方法与实验方法比较,可快速找到蛋白-蛋白相互作用的构象空间,优化膜蛋白互作的精度;能从原子与量子水平探究细胞因子与膜蛋白受体的互作;更深入解析分子机理,数据精确定量。研究结果表明本文应用ZDOCK算法建立了通过计算模拟膜蛋白生物大分子互作的新领域,为细胞因子与化学因子的多肽类药物开发提供新的思路; 为细菌病毒感染/肿瘤疾病的防治提供科学理论依据; 在分子识别,神经元网络深度学习,生物信息处理领域具有广泛的应用。  相似文献   

19.
Summary The influence of organic modifier and ion interaction reagent (IIR) concentrations on analyte retention in ion interaction chromatography (IIC) was investigated via a bivariate approach. The system examined is as follows: ODS-Hypersils was used as stationary phase; the eluent was a variable mixture of a phosphate buffer pH 2.1 and methanol ranging 0%–40% (v/v). The organic modifier decreases both the analyte and the IIR free energy of adsorption hence their interaction is lower when the organic modifier concentration is higher. Retention equations describe how these two factors interact with each another. The estimated equilibrium constant for the IIR adsorption corresponds to = –17.3 KJ mol–1. This value is reliable because it makes sense physically. The chi-squared (k calck exp)2 is 1.11E + 00 and 2.85E-02, for octopamine and 2-naphthalenesulfonate, respectively. Retention equations were compared with those obtained from the outstanding retention models in IIC. For the modelled system, the extended thermodynamic approach is able to explain experimental evidence that cannot be rationalised by existing retention models: it proves superior for fitting experimental data and is also able to predict when the purely electrostatic approach may work properly. In the absence of IIR the present retention equation reduces, as expected, to the relationship that describes the influence of organic modifier on retention behaviour in reversed-phase liquid chromatography.  相似文献   

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