用预言振转跃迁谱线的新公式研究AuO分子电子跃迁P支的高激发态发射谱线

本文在孙卫国等建立的预测双原子分子高转动激发态的 振转跃迁能谱的解析物理公式的基础上, 增加了该公式推导时被省略的高阶转动项H_v对能级的贡献, 获得了包含此高阶小项的预测双核体系高转动激发态的振转跃迁谱线的新表达式. 使用该新公式对AuO分子P支发射跃迁光谱的研究表明: 加入高阶转动常数H_v后的新公式所预言的振转跃迁 谱线的精度比不包含H_v 的公式给出的结果提高了约一个数量级. 因此, 更加有力地表明了使用多重差分法建立的这类物理公式在预言实 验未给出的物理数据方面的正确性和有效性. 关键词： AuO H_v')" href="#">转动常数H_v P支谱线')" href="#">P支谱线 多重差分法     

CO电子基态P线系跃迁谱线的理论研究

基于微分的思想,结合经典的双原子分子跃迁谱线表达式,提出了预言双原子分子P线系高激发振-转跃迁谱线的新解析物理公式.对于某分子电子体系的某一P支跃迁带,利用实验上获得的一组(15条)精确的跃迁谱线和该跃迁带对应的上下振动态的转动常数(B_υ',B_υ″)的精确数据,该公式不仅可以精确地重复已知的实验跃迁谱线,而且还能预测出实验上难以获得的更高激发态的跃迁谱线数据.利用该公式,研究了CO分子电子基态的(2,0)振-转跃迁带的< 关键词： 双原子分子 发射光谱 P线系')" href="#">P线系 CO     

低激发态双原子分子的势能函数

对比分析了双原子分子的势能函数,发现用PG—高斯势函数表述低激发态双原子分子是一种可能的选择。按照微观过程原理和本文提出的“激发态选择规则”,可确定低激发态的离解极限与离解能,并导出63个激发态的PG—高斯势函数。     

双原子分子振动热容量辨析

双原子分子理想气体中,分子内部振动运动和转动运动最简单的耦合使得振转运动对能量均分定理会出现偏离,此时,振动自由度对能量的贡献不一定是kT。对于氢分子来说,即使温度接近离解特征温度,振动自由度对能量的贡献近似为kT,即能量均分定理成立。     

差分收敛法对双原子分子高J值转动谱线的预言

为了更精确地预言转动量子数J ≥ 100时双原子分子R支和Q支的振转跃迁谱线, 本文在考虑了转动能级展开式中高阶小项H_v的前提下重新推导出能更好地预言R支和Q支跃迁谱线的物理解析公式. 另一方面, 通过对差分收敛法计算过程的细致分析, 从物理误差的角度提出了一个在没有实验数据作为参照时仍然能有效收敛的重要物理判据. 应用这些新公式和新判据对TiF和CO分子R支振转跃迁谱线和TiF分子Q支振转跃迁谱线进行了研究. 结果表明: 包含高阶小项H_v的新公式的预言结果精度比原有不含H_v的公式的结果提高了一个数量级; 新判据的使用能更有效地减小预言谱线的可能误差, 提高预言结果精度. 最后通过与最小二乘法计算结果的对比, 进一步说明新公式和新判据在预言R支和Q支振转跃迁谱线数据方面的有效性和准确性.     

双原子分子振动力常数的测定

本文介绍了利用棱镜光谱测定双原子分子振动力常数的实验方法．     

精确研究NbN分子d~1∑~+—b~1∑~+电子态跃迁的P线系发射光谱

本文利用最近建立的能精确求解双原子分子P线系发射光谱的物理新公式,研究了NbN分子从电子态d~1∑~+向b~1∑~+电子态跃迁中(1,1)跃迁带的P支发射光谱.获得的计算结果不仅很好地重现了已知低转动态的实验谱线数据,同时也预言了该跃迁带包含转动量子数J=80在内的高振转激发态的精确P线系发射光谱.该方法在理论上为实验技术难以精确测量的双原子分子体系提供了一种获得精确的高激发态谱线数据的物理新方法.从而可以为那些需要NbN分子高激发态跃迁谱线的研究工作提供必要的数据.     

双原子分子离解能的精确研究

基于LeRoy与Bemstein的工作，孙卫国等最近建立了计算精确的双原子分子离解能的新解析表达式．应用该公式和最近建立的研究双原子分子精确振动能谱的代数方法（AM），我们研究了一些双原子分子部分电子态的分子离解能，并与实验值进行了比较．研究结果表明，用新解析式获得的精确分子离解能与实验值符合得非常好．该式在理论上提供了获得精确分子离解能的物理新方法．     

双原子分子振动能谱与离解能的精确研究

代数方法(AM)的建立解决了实验方法和精确量子力学理论方法难以获得双原子分子的包含最高振动能级在内的所有高阶振动能级的精确数值这一问题.基于LeRoy与Bernstein的工作,孙卫国等又建立了精确计算双原子分子离解能的新解析表达式.应用新公式和代数方法(AM),研究了一些双原子分子部分电子态的振动能谱和分子离解能,获得了与实验值符合非常好的理论结果.该方法在理论上提供了获得双原子分子完全振动能谱和精确分子离解能的物理新方法.     

双原子分子离解能的精确研究

基于LeRoy与Bernstein的工作,孙卫国等最近建立了计算精确的双原子分子离解能的新解析表达式.应用该公式和最近建立的研究双原子分子精确振动能谱的代数方法(AM),我们研究了一些双原子分子部分电子态的分子离解能,并与实验值进行了比较.研究结果表明,用新解析式获得的精确分子离解能与实验值符合得非常好.该式在理论上提供了获得精确分子离解能的物理新方法.     

The analysis of rovibrational motion equations of a diatomic molecule in the linear regime

The motion equations of diatomic molecules are here extended from the absolute vibrational case to a more general and real rotational and vibrational (rovibrational) case. The rovibrational Hamiltonian is heuristically formed by substituting the respective number and angular momentum operators for the vibrational and rotational quantum numbers in the energy eigenvalues of a diatomic molecule which was first introduced by Dunham. The motion equations of observable quantities such as the position and linear momentum are then determined by implementing the well-known Heisenberg relation in quantum mechanics. We face with the second-order imaginary differential equations for describing the temporal variations of the relative position and the linear momentum of two oscillating atoms, which are coupled in the x–y horizontal plane. The possible rovibrational oscillations are distinguished by the three quantum numbers n, l and m associated with the energy and angular momentum quantities. It is finally demonstrated that the simultaneous solutions of rovibrational equations satisfy the energy conservation during all quantised oscillations of a diatomic molecule in space.     

Highly excited rovibrational states of HNC

The emission spectrum of HCN has been recorded at 1463 K using hot gas molecular emission (HOTGAME) spectroscopy in the wavenumber region of 2900–3500 cm⁻¹ with a resolution of 0.01 cm⁻¹. The dense emission spectrum was analyzed with the spectrum analysis software SyMath™ implemented in the Mathematica™ computer algebra system. This work reports the analysis of the band series up to v₂ = 8 and of the band series up to v₂ = 6.36 rovibronic (v₁, v₂, l, e/f, v₃) substates of HCN including all l = 0, 2, 4, 6, 8 sublevels of the highly excited bending combination mode have been characterized for the first time and for the 22 known vibrational sublevels it was possible to improve the existing spectroscopic constants substantially. 18 (v₁, v₂, l, v₃) vibrational sublevels are located for the first time relative to the 00⁰0 state. The analysis reported here includes rovibrational states up to very large rotational excitations of J = 60–80. For the combination states the rotational states have been determined up to J = 86 which corresponds to 7000 cm⁻¹ rotational excitation energy, this state is only 2000 cm⁻¹ below the isomerization barrier. It was possible to determine for the first time the L_v high order rotational constant for many states reported in this work.     

双原子分子离子XY+部分电子态完全振动能谱的精确研究

关于双原子分子离子XY 的完全振动能谱,目前还没有实验和理论的数据报道。本文首次应用代数方法AM(Algebraic Method),获得了BeH -X1Σ 态,CO -X2Σ 态,F2 -X2Πg态,O2 -A2Πu态和Li2 -X2Σg 态的精确振动光谱常数和完全振动能谱,解决了实验方法和精确量子力学理论方法难以获得双原子分子离子XY 的包含最高振动能级在内的所有高阶振动能级的精确数值这一问题。所有研究结果表明:由部分较低的实验精确振动能级,可用AM产生双原子分子离子XY 的精确振动光谱常数和包含全部激发态的完全振动能谱;所得的AM振动能谱比其他理论方法得到的结果更好。     

非Born-Oppenheimer近似一对双原子分子振动光谱的修正

为提高Born-Oppenheimer(BO)近似的精确度,修正BO近似所得到的令人不太满意的结果,此文在电子与原子核之间引入一个位相差,并利用小参数微扰法推导出了双原子分子核振动的波函数及红外能谱的计算公式,由修正后的结果得到的双原子分子红外振动光谱线的位置应更接近于实验观测值.     

Theoretical models for interisomer transitions of complex molecules and their spectral manifestations

We have used computer simulation to compare theoretical models for describing interisomer transitions of complex molecules and their spectral manifestations. We have shown that the kinetics of the intramolecular processes and time-resolved spectra, taking into account quantum beats between resonant (bound) states of the isomers (or isolated level subsystems for one isomer form), can be described not only by using a general molecular model in which the resonant levels of the subsystems act as a single level of a mixed state, with a time-dependent wave function in the form of quantum beats, but also by using a model interpreting the beat effect as a nonradiative transition. These models are completely equivalent: the parameters describing them have the same values, and numerical differences in the results obtained are no greater than 1% and are due to numerical round-off errors in the calculations and not differences between the models. The second model is preferred because it is graphically clear and conventionally used for describing and interpreting intramolecular processes, but it does take somewhat longer (∼10%) to run the simulation. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 73, No. 1, pp. 36–41, January–February, 2006.     

用代数能量方法研究氢化物双原子分子的完全振动能谱和离解能

本文用研究双原子分子振动能谱的新方法-代数方法(AM),研究了KH-X1Σ+,RbH-X1Σ+,DF-X1Σ+和DCl-X1Σ+等四个氢化物双原子分子的电子基态的振动光谱常数和振动能谱;用代数能量方法(AEM)研究了相应电子态的分子离解能.研究结果表明:使用实验获得的少数精确的振动能级[Eυ],由AM方法得到的振动能谱不仅能够重复这些电子态的已知实验能级,还能够得到用现代实验方法或精确的量子理论方法很难得到的所有高振动激发态的能级.由AEM方法能够得到比用文献发表的振动光谱常数计算获得的离解能值更准确的分子离解能.     

An optimization analysis on the molecular vibrational energy eigenvalues of a diatomic gasdynamic laser

We study briefly the eigenvalue spectrum corresponding to the vibrational-energy levels of the molecules as anharmonic oscillators in a diatomic gasdynamic laser by calculating the maximum eigenvalue when all the possible diatomic configurations are considered within the context of gasdynamic lasers. In this context, a parameter which characterizes the anharmonicity of a given diatomic molecule as a one-dimensional oscillator is used in our calculations.