平行电磁场中的Rydberg锂原子吸收谱的模型势计算

用B样条基组展开方法结合模型势计算了Rydberg锂原子在平行电磁场下的振子强度谱. 径向和角向均采用高阶Ｂ样条基组.计算结果与已有的实验结果符合得很好.利用分波分析法,对部分谱线的振子强度的强弱进行了分析. 本文方法简单有效，易于推广到交叉电磁场中Rydberg原子的精确谱的计算. 关键词： B样条 能谱 振子强度 平行电磁场 Rydberg原子     

里德堡钠原子抗磁谱的模型势计算

用B样条基组展开方法结合模型势计算了里德堡钠原子抗磁谱和相应的振子强度谱.径向和角向均采用高阶B样条基组.计算结果与已有的R-矩阵和多通道量子亏损理论相结合(R-matrix MQDT)法及其他理论计算结果作了比较,几种理论结果在我们所研究的能区内符合得非常好.本文方法较R-ma-trix MQDT法简单,易于推广到交叉电磁场中里德堡原子的精确谱的计算中.     

里德堡钠原子抗磁谱的模型势计算

用B样条基组展开方法结合模型势计算了里德堡钠原子抗磁谱和相应的振子强度谱. 径向和角向均采用高阶B样条基组.计算结果与已有的R-矩阵和多通道量子亏损理论相结合(R-matrix+MQDT)法及其他理论计算结果作了比较,几种理论结果在我们所研究的能区内符合得非常好.本文方法较R-matrix+MQDT法简单,易于推广到交叉电磁场中里德堡原子的精确谱的计算中.     

椭球坐标下求解强磁场中的氢原子

在椭球坐标系下,采用B样条基组方法计算了磁场范围在0-1000 a.u.下氢原子低能态能量以及实验室磁场下(几个特斯拉)氢原子里德堡态的能级,得到了至少9位有效数值的高精度能谱并与文献中的精确结果进行了比较.本文方法为精确计算强磁场下原子能谱提供了一个新的选择方案.     

椭球坐标下求解强磁场中的氢原子

在椭球坐标系下，采用B样条基组方法计算了磁场范围在0—1000 a．u．下氢原子低能态能量以及实验室磁场下（几个特斯拉）氢原子里德堡态的能级，得到了至少9住有效数值的高精度能谱并与文献中的精确结果进行了比较。本文方法为精确计算强磁场下原子能谱提供了一个新的选择方案。     

里德堡钠原子抗磁谱的模型势计算

用B样条基组展开方法结合模型势计算了里德堡钠原子抗磁谱和相应的振子强度谱，径向和角向均采用高阶B样条基组．计算结果与已有的R-矩阵和多通道量子亏损理论相结合（R-matrix＋MODT）法及其他理论计算结果作了比较，几种理论结果在我们所研究的能区内符合得非常好，本文方法较R-matrix＋MQDT法简单，易于推广到交叉电磁场中里德堡原于的精确谱的计算中．     

椭球坐标下求解强磁场中的氢原子

在椭球坐标系下,采用B样条基组方法计算了磁场范围在0-1000 a.u.下氢原子低能态能量以及实验室磁场下(几个特斯拉)氢原子里德堡态的能级,并与文献中的精确结果进行了比较.对1s0态,磁场γ≤100 a.u.时,本文计算结果有12位有效数字的精度,γ=1000 a.u.时有11位有效数字的精度.对2p-1低激发态,γ≤100 a.u.时,能量至少有11位有效数字的精度;γ=1000 a.u.时,有9位有效数字的精度.对原子高激发态,我们计算了实验室磁场下(磁场为4.7特斯拉)氢原子里德堡态(主量子数n=23)的抗磁谱,得到了至少10位有效数字精度的能谱.本文方法既适用于超强磁场下低能态的计算,同样适合原子高里德堡态抗磁谱的计算,为精确计算强磁场下原子能谱提供了一个新的可行方案.此外,讨论了本文方法推广到平行及交叉电磁场下原子能谱计算的可行性.     

Sc+18离子1s23d-1s2nf的跃迁能和偶极振子强度

用全实加关联方法计算了类锂Sc+18离子1s23d-1s2nf(4≤n≤9)的跃迁能和1s2nf(n≤9)态的精细结构. 依据量子亏损理论确定了该Rydberg系列的量子数亏损,用这些作为能量的缓变函数的量子亏损,可以实现对任意高激发态(n≥10)的能量可靠的预言. 利用在计算能量过程中确定的波函数,计算了Sc+18离子1s23d-1s2nf的偶极跃迁在三种规范下振子强度;将这些分立态振子强度与量子亏损理论相结合,得到在电离阈附近束缚态-束缚态跃迁振子强度以及束缚态-连续态跃迁振子强度密度,从而将Sc+18离子的这一重要光谱特性的理论预言外推到整个能域.     

Sc+18离子1s23d-1s2nf的跃迁能和偶极振子强度

用全实加关联方法计算了类锂Sc 18离子1s23d-1s2nf(4≤n≤9)的跃迁能和1s2nf(n≤9)态的精细结构。依据量子亏损理论确定了该Rydberg系列的量子数亏损,用这些作为能量的缓变函数的量子亏损,可以实现对任意高激发态(n≥10)的能量可靠的预言。利用在计算能量过程中确定的波函数,计算了Sc 18离子1s23d-1s2nf的偶极跃迁在三种规范下振子强度;将这些分立态振子强度与量子亏损理论相结合,得到在电离阈附近束缚态-束缚态跃迁振子强度以及束缚态-连续态跃迁振子强度密度,从而将Sc 18离子的这一重要光谱特性的理论预言外推到整个能域。     

Ni25+离子1s23s-1s2np跃迁的全能域理论研究

用全实加关联方法计算了Ni25+离子1s23s和1s2np (n  9)态的能量.通过引入价电子的有效核电荷,在类氢近似下,估算了对能量的高阶相对论修正和QED修正.计算了该离子1s23s-1s2np的跃迁能,波长和在三种规范下的振子强度.依据量子亏损理论,确定了Rydberg系列1s2np的量子数亏损,据此可以实现对任意高激发态(n  10)的能量的可靠预言;得到该离子从1s23s态到电离阈附近高激发1s2np态间的跃迁振子强度以及到相应连续态跃迁的振子强度密度.     

An effective quantum defect theory for the diamagnetic spectrum of barium Rydberg atom

A theoretical calculation is carried out for the spectrum of barium Rydberg atom in an external magnetic field. Using an effective approach incorporating quantum defect into the centrifugal term in the Hamiltonian, we reexamine the reported spectrum of barium Rydberg atom at a magnetic field of 2.89 T [J. Phys. B 28 L537 (1995)]. Our calculation employs B-spline basis expansion and complex coordinate rotation techniques. For single photon absorption from the ground 6s² to 6snp Rydberg states, the spectrum is not influenced by quantum defects of channels ns and nd. The calculation is in agreement with the experimental observation until the energy reaches E=-60 cm^-1. Up beyond in energy, closer to the threshold, the calculated and experimental results do not agree with each other, possible reasons for their discrepancies are discussed. Our study affirms an energy range where the diamagnetic spectrum of barium atom can be explained thoroughly using a hydrogen model potential.     

The microwave spectrum and molecular conformation of peroxynitric acid (HOONO2)

The rotational spectrum of peroxynitric acid has been investigated in the 40- to 120-GHz region. The spectrum of the ground state is complicated by tunneling of the OH group, which causes a doubling of the asymmetric rotor spectrum. The magnitude of the tunneling splitting is such that it causes Coriolis interactions between the energy levels of the two tunneling states which lead to perturbations in the rotational spectrum. A combined analysis of the a- and b-type pure rotational transitions with the c-type tunneling transitions allows a perturbation-free determination of the rotational constants for the ground state. A similar analysis of the low-lying NO₂ torsional vibration at 145(6) cm⁻¹ has also been carried out. The dipole moments for each state have been determined by analysis of the second-order Stark effect. The molecular structure analysis indicates that all the heavy atoms are planar and only the hydrogen atom is out of the heavy atom plane. The preferred orientation of the hydrogen atom with respect to the plane of the heavy atoms is at an angle ∼106° with respect to the cis conformation.     

The hydrogen atom in strong magnetic fields: Summation of the weak field series expansion

Using the weak field expansion, we have calculated the ground-state energy of the hydrogen atom in a magnetic field for values of the field up to about 10¹³G. The perturbative expansion has been summed by an order-dependent mapping method. We compare our results with previous calculations. Our method allows us to obtain: first, more accurate values of the binding energy for a field up to 10¹⁰G, then good results in the transition region between the two sets of accurate calculations of the literature, and finally still reasonably accurate values up to 10¹³G.     

The lamb shift in helium from a self-consistent field theory of electrodynamics

In this paper we present the results of an investigation of the finite self-consistent field theory of electrodynamics applied earlier to the calculation of the Lamb shift in hydrogen (Sachs & Schwebel, 1961; Sachs, 1972), now applied to the problem of the Lamb shift in the low-lying states of Helium. We construct the covariant nonlinear field equations of this theory for Helium, from the Lagrangian formalism. In the linear approximation, the Hamiltonian associated with this field theory for the two-electron atom is set up. It is equivalent to the Breit Hamiltonian plus two extra terms. This generalization is a direct consequence of the two-component spinor formalism of the factorization of the Maxwell theory of electromagnetism that is contained in this theory of electrodynamics (Sachs, 1971). Thus, the energy spectrum predicted for the Helium atom is the spectrum predicted by the Breit Hamiltonian, shifted by amounts in the different energy states according to the effects of the extra terms in the Hamiltonian. The latter can be associated with the corrections to the Helium spectrum that are conventionally attributed to the Lamb shift. The level shifts for the 1¹ S and 2³ S states are calculated using the Foldy-Wouthuysen transformation, with the generalization of Charplvy for the two-electron atom. The results are found to be in close agreement with the experimental values for the energy shifts not predicted by the Dirac theory, and with the theoretical values predicted by quantum electrodynamics.     

Electron emission degradation of nano-structured sp^2-bonded amorphous carbon films

The initial field electron emission degradation behaviour of original nano-structured sp^2-bonded amorphous carbon films has been observed, which can be attributed to the increase of the work function of the film in the field emission process analysed using a Fowler-Nordheim plot. The possible reason for the change of work function is suggested to be the desorption of hydrogen from the original hydrogen termination film surface due to field emission current-induced local heating. For the explanation of the emission degradation behaviour of the nano-structured sp2-bonded amorphous carbon film, a cluster model with a series of graphite （0001） basal surfaces has been presented, and the theoretical calculations have been performed to investigate work functions of graphite （0001） surfaces with different hydrogen atom and ion chemisorption sites by using first principles method based on density functional theory-local density approximation.     

The theoretical calculation of collision-induced predissociation

A theoretical treatment of the collision-induced predissociation of a diatomic molecule caused by collisions with an atom is given in terms of the impact parameter method. Numerical calculations of the collision-induced predissociation of the D ¹Π _u state of the hydrogen molecule due to collisions with helium atoms have been performed using an ab initio calculation of the electronic interaction of the helium atom and the hydrogen molecule. The results show good agreement with the available experimental evidence. The continuum energy of the predissociation fragments is shown to have an energy spread determined by the range of the interaction potential.     

The microwave spectrum of difluoroacetic acid

Transitions due to two conformations have been observed in the microwave spectrum of difluoroacetic acid. In both rotamers the carboxylic hydrogen atom is cis to the CO bond, whereas the other hydrogen atom is either trans or gauche with respect to the CO bond. By means of isotopic substitution of the hydrogen and oxygen atoms a serious deviation of local symmetry in the CHF₂ group is deduced for the gauche form. This is thought to be an artifact of the substitution method, although no satisfactory explanation can be given. In torsionally excited states of the gauche conformation, doublet splittings were observed due to tunneling through a barrier of 190 ± 10 cm^?1. For the second excited state a satisfactory treatment could be given, but for the third excited state large differences between observed and calculated transition frequencies remained. A computer program to account for the internal rotation in asymmetric molecules was written, and it was shown qualitatively that interactions with excited states of the trans conformation could very well be responsible for the discrepancies. From intensity measurements the energy difference E(gauche) - E(trans) was found to be 370 ± 180 cm^?1. The large uncertainty is due to the failure of attempts to determine the dipole moments experimentally; they were estimated from an improved set of bond moments which was derived from related compounds. Both energy difference and dihedral angles are at variance with the results of an earlier electron diffraction investigation.     

Exact quantum defect theory approach for lithium in magnetic fields

We calculate the diamagnetic spectrum of lithium at highly excited states up to the positive energy range using the exact quantum defect theory approach. The concerned excitation is one-photon transition from the ground state 2s to the highly excited states np with π and σ polarizations respectively. Lithium has a small quantum defect value 0.05 for the np states, and its diamagnetic spectrum is very similar to that of hydrogen in the energy range approaching the ionization limit. However, a careful calculation shows that the spectrum has a significant discrepancy with that of hydrogen when the energy is lower than 70cm-1 . The effect of the quantum defect is also discussed for the Stark spectrum. It is found that the σ transition to the np states in an electric field has a similar behavior to that of hydrogen due to zero interaction with channel ns.     

Reaction of Pentanol isomers with OH radical – A theoretical perspective

The stability of all the three isomeric forms of Pentanol has been examined with relative energy analysis. Even though 2-Pentanol is predicted to be most stable isomeric form, all the three isomeric forms undergo hydrogen atom abstraction reaction with OH radical. Among the proposed 18 different hydrogen atom abstraction reaction, the abstraction from CH₂ and CH functional group is found to be a favourable reactive site with low energy barrier in M06-2X/6-311+G(d,p) level of theory. Wiberg bond order analysis shows all the abstraction reactions are concreted but not synchronic in nature. Using force analysis, the calculated work done of individual reaction regions illustrates that structural rearrangements drive the reaction with higher contribution to the energy barrier. The rate constant calculated at M06-2X method for the most favourable reaction is well matched with available experimental data. Using the reported atmospheric OH concentration (1 × 10⁶ molecules/cm³), the life time of 1-Pentanol, 2-Pentanol and 3-Pentanol has calculated to be 18.66, 0.36 and 2.86 days, respectively.     

An effective quantum defect theory for the diamagnetic spectrum of a barium Rydberg atom

A theoretical calculation is carried out to investigate the spectrum of a barium Rydberg atom in an external magnetic field. Using an effective approach incorporating quantum defect into the centrifugal term in the Hamiltonian, we reexamine the reported spectrum of the barium Rydberg atom in a magnetic field of 2.89 T [J. Phys. B 28 L537 (1995)]. Our calculation employs B-spline basis expansion and complex coordinate rotation techniques. For single photon absorption from the ground 6s2 to 6snp Rydberg states, the spectrum is not influenced by quantum defects of channels ns and nd. The calculation is in agreement with the experimental observations until the energy reaches E = 60 cm-1 . Beyond this energy, closer to the threshold, the calculated and experimental results do not agree with each other. Possible reasons for their discrepancies are discussed. Our study affirms an energy range where the diamagnetic spectrum of the barium atom can be explained thoroughly using a hydrogen model potential.