Calculation of Rydberg energy levels for the francium atom

Based on the weakest bound electron potential model theory, the Rydberg energy levels and quantum defects of the $np^{2}$P$^{\circ}_{1 / 2}$ ($n$ = 7--50) and $np^{2}$P$^{\circ}_{3 / 2}$ ($n$ =7--50) spectrum series for the francium atom are calculated. The calculated results are in excellent agreement with the 48 measured levels, and 40 energy levels for highly excited states are predicted.     

氖原子奇宇称里德堡能级的理论计算

本文依据最弱受约束电子势模型理论,计算了氖原子1s22s22p5(2Po3/2)ns 2[3/2]o1,2(n=3～50) 和 1s22s22p5(2Po3/2)nd 2[1/2]o0,1(n=3～50)里德堡系列能级和量子亏损.计算结果与已有的51个实验数据符合得很好,并预言了141个能级的位置.     

氖原子奇宇称里德堡能级的理论计算

本文依据最弱受约束电子势模型理论,计算了氖原子1s22s22p5(2Po3/2)ns 2[3/2]o1,2(n=3-50) 和 1s22s22p5(2Po3/2)nd 2[1/2]o0,1(n=3-50)里德堡系列能级和量子亏损。计算结果与已有的51个实验数据符合得很好,并预言了141个能级的位置。     

Fine-structure energy levels, oscillator strengths and lifetimes of chlorine-like chromium

We have done relativistic calculations for the evaluation of energy levels, oscillator strengths, transition probabilities and lifetimes for Cr VIII ion. Use has been made of configuration interaction technique by including Briet-Pauli approximation. The energies of various levels from the ground state to excited levels of 3s3p⁶, 3s²3p⁴3d, 3s²3p⁴4s, 3s²3p⁴4d of Cr VIII are given in LSJ coupling scheme after fine-tuning and are compared with the experimental results compiled in the NIST Data Base. Many new lines have been predicted which have not appeared so far in the NIST Data.     

在WBEPM理论下EuⅠ原子里德堡能级计算(英文)

依据最弱受约束电子势模型理论,计算了铕原子4f76snd6D9/2(n≥13)、4f76snd8D9/2(n≥17)、4f76snd8D5/2(n≥15)和4f76snd8D3/2(n≥21)里德堡系列能级.计算结果与实验值的最大相对误差为4×10-5,最大绝对误差是1.91cm-1,达到了较高精度,这表明文中的外推数据是可信的.     

在WBEPM理论中受扰里德堡能级研究

在最弱受约束电子势模型理论下,研究了外来微扰能级对里德堡能级系列的影响,给出了确定外来微扰能级位置的方法.依此计算了钡原子6snp(n≥15).P1和6snd(n≥9)3D3两个里德堡能级系列的量子数亏损和能级.计算结果和实验值的绝对误差在1 cm-1以内,达到了较高的精度.     

碳原子里德堡能级的计算

依据最弱受约束电子势模型及其微扰修正理论,计算了碳原子1s22s22pns 3P02,1,0 (n=3-50) 和1s22s22pnd 3F03,2 (n=3-50)里德堡系列能级和量子亏损。计算结果与已有的实验结果符合得很好。     

最弱受约束电子势模型下WI原子Rydberg态能级研究

在最弱受约束电子势模型理论框架下计算了W I原子的 , 和 系列里德堡能级,结果与实验值符合较好,最大相对误差均在2.72408E-6之内,达到了很高的精度.     

Theoretical study of potential energy curves,spectroscopic constants,and radiative lifetimes of low-lying states in SeO molecule

The low-lying potential energy curves of SeO molecule are computed by means of ab initio multireference configuration interaction technique, taking into account relativistic (scalar plus spin-orbit coupling) effects. The spectroscopic constants of Ω states for X³Σ^-, a¹Δ, b¹Σ⁺, A³Π, A'³Δ, and A"³Σ⁺ states are obtained, and they are in good accordance with available experimental values. The Franck-Condon factors and transition dipole moments to the ground state are computed, and the natural radiative lifetimes of low-lying Ω states are theoretically obtained. Comparisons of the natural lifetimes of Ω states with previous experimental results and those of isovalent TeO molecule are made.     

Theoretical study of potential energy curves,spectroscopic constants,and radiative lifetimes of low-lying states in an SeO molecule

<正>The low-lying potential energy curves of the SeO molecule are computed by means of an ab initio multireference configuration interaction technique,taking into account relativistic(scalar plus spin-orbit coupling) effects.The spectroscopic constants ofΩstates for X~3∑~-,a~1△,b~1∑~+,A~3Π,A′~3△,and A″~3∑~+ states are obtained,and they are in good accordance with available experimental values.The Franck-Condon factors and transition dipole moments to the ground state are computed,and the natural radiative lifetimes of low-lyingΩstates are theoretically obtained. Comparisons of the natural lifetimes ofΩstates with previous experimental results and those of isovalent TeO molecule are made.     

解除氢原子能级(n=3)的简并

讨论氢原子能级在两个正交线性非均匀电场中的分裂。     

Potential energy curves,transition dipole moments,and radiative lifetimes of KBe molecule

An ab initio calculations on the ground and low-lying excited states(X~2Σ+, 2~2Σ+, 3~2Σ+, 1~4Π, 2~4Π, 1~4Σ~+, 2~4Σ~+,and 3~4Σ~+) of KBe molecule have been performed using multireference configuration interaction(MRCI) plus Davidson corrections(MRCI+Q) approach with all electron basis set aug-cc-p CV5Z-DK for Be and def2-AQZVPP-JKFI for K.The 3~2Σ+, 1~4Π, 2~4Π, 1~4Σ~+, 2~4Σ~+, and 3~4Σ~+states are investigated for the first time. Inner shell electron correlations are computed on the potential energy curves(PECs) calculations. The spectroscopic and molecular parameters are also predicted. In addition, The transition properties including transition dipole moment, Franck–Condon factors qv'v', Einstein coefficients Av'v', and the radiative lifetimes τυ for the 2~2Σ~+–X~2Σ~+, 3~2Σ~+–X~2Σ~+, and 2~4Π–1~4Π transitions are predicted at the same time.     

Systematic study of the relationships between energy levels of Tl(1), Tl centers and the crystalline environment

In this paper, we present the first systematic study of the relationships between energy levels of Tl⁰(1) and Tl²⁺ centers in alkali halides and the crystalline environment by using dielectric theory of chemical bond for complex crystals. It is found that the coordination number of the central ion, the bond volume polarizability, and the fractional covalence of the chemical bond between the central ion and the nearest anion are the three determinative parameters for the absorption band energy. Four empirical formulas are proposed. The calculated results are in good agreement with the experimental values. The current model can serve as a prediction tool and can be applied to assign the absorption band energy of Tl⁰(1) and Tl²⁺ centers.     

The calculation of transition probabilities between individual lines for atomic lithium

The atomic transition probabilities for individual and multiplet lines of lithium atom are obtained using weakest bound electron potential model theory (WBEPMT) and exact quantum defect theory. The results obtained using two different methods agree very well with the accepted values taken from NIST, MCHF results and Opacity Project values. These methods require substantially less computational time than well-known theoretical methods, thereby permitting the study of 108 transitions.     

并五苯同质异相体中分子间势能与能带计算

采用Born-Mayer-Haggins对势模型，分析了并五苯分子间势能及其相互作用. 用紧束缚模型计算了两种并五苯同质异相体结构的能带宽度. 计算带宽随温度升高减小8%—14%. 关键词： 并五苯 同质异相体 分子间势能 能带计算     

WBEPM理论下锡原子受扰Rydberg系列能级和量子数亏损计算

在最弱受约束电子势模型理论下,通过研究量子数亏损 与 之间的变化规律,确定了SnⅠ原子的 和 两个系列的六个外来微扰谱项的能级.在考虑了这些外来微扰项影响的基础上,计算了这两个受扰Rydberg系列的量子数亏损与能级.计算结果与实验值符合较好,相对误差小于3.63E-05,达到了很高的精确度,依此外推的能级数据具有较高的可信度.     

KrVI离子能级和振子强度的理论计算

利用组态相互作用理论和参数外推法,计算了KrVI离子4s~24p—4s4p~2、4s~24p—4s~24d和4s4p~2—4p~3跃迁的能级、谱线波长和振子强度。与已有实验结果比较表明:波长的理论计算值与观测值在0.7A内很好符合,振子强度的理论计算值较大的跃迁均是实验中观测到的跃迁。     

LiAl分子基态、激发态势能曲线和振动能级

利用单双激发多参考组态相互作用方法获得了LiAl分子基态X¹∑⁺及七个激发态a³∏, A¹∏, b³∑⁺, c³∑⁺, B¹∏, C¹∑⁺, d³∏的势能曲线, 通过势能曲线得到各态的平衡核间距R_e, 进而求得绝热激发能和垂直激发能.计算结果表明:c³∑⁺ 电子态是一个不稳定的排斥态, A¹∏态是一个较弱的束缚态, 其余6个电子态均为束缚态; b³∑⁺与 c³∑⁺态之间存在预解离现象; 8个电子态分别解离到两个通道, 即Li(²S)+Al(²P⁰)与Li(²P⁰)+Al(²P⁰). 接着将势能曲线拟合到Murrel-Sorbie解析势能函数形式, 据此获得各态的光谱数据:基态X¹∑⁺的平衡键长为0.2863 nm, 谐振频率为316 cm^-1, 解离能D_e为1.03 eV, 激发态a³∏, A¹∏, b³∑⁺, c³∑⁺, B¹∏, C¹∑⁺, d³∏的垂直激发能依次为0.27, 0.83, 1.18, 1.14, 1.62, 1.81, 2.00 eV; 解离能依次为1.03, 0.82, 0.26, 排斥态, 1.54, 1.10, 0.93 eV, 相应谐振频率 ω_e为339, 237, 394, 排斥态, 429, 192, 178 cm^-1. 通过求解核运动的薛定谔方程找到了J=0时 LiAl分子7个束缚电子态的振动能级和转动惯量. 关键词： LiAl 光谱常数 势能曲线 振动能级     

类氮VXVII CrXVIII MnXIX和FeXX精细结构能级和跃迁波长的相对论多组态Dirac-Fock计算

本文用相对论多组态Dirae—Fock广义平均模型(MCDF-EAL)计算了可能成为激光工作物质的类氮VXVII、CrXVIII、MnXIX和FeXX的2s~22p~3、2s2p~4、2p~5、2s~22p~23s、2~2s2p~23p组态的各44个精细结构能级和33个3s—3p组态跃迁波长。其中关于VXVII、CrXVIII、MnXIX离子3s、3P组态的计算值是本文首次预言的。     

三硝基甲烷键离解能和生成焓的理论计算

采用密度泛函(DFT)四种交换/相关函数(B3LYP、B3P86、B3PW91和PBE0)结合不同的基函数,求得了三硝基甲烷C-NO2键的离解能(BDE),并且通过合理选择参考物硝基甲烷,设计等键等电子对反应,计算了气相三硝基甲烷分子的生成焓(HOF).与实验数据进行比较,PBE0/6-31g*计算出的BDE值最好,误差为-2.1 kcal mol-1;PBE0密度泛函结合带极化函数的6-31g基组得到的HOF值与实验值吻合的最好(误差在0.1 kcal mol-1以内).