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1.
The potential energy curves of the low-lying electronic states of BeH+ molecular ion are performed by using highly accurate multi-reference configuration interaction with AV5Z basis sets for H atom and ACV5Z basis set for Be atom, 1s inner shell of Be is considered as the core orbit and the active orbit, respectively, which are used to characterise the spectroscopic properties of a manifold of singlet and triplet states. Fourteen electronic states correlated with eight dissociation channels are investigated, we have found that the a3Σ+ and c3Σ+ both are bound states, the 33Σ+ possesses double wells, and the C1Σ+, 33Σ+, 23Π, 21Π, 11Δ, 13Δ, 23Δ and 21Δ states are studied for the first time. Transition dipole moment, Franck–Condon factors qυ′υ and Einstein coefficients Aυ′υ for A1Σ+–X1Σ+, 21Π–B1Π, c3Σ+–a3Σ+ and b3Π–a3Σ+ systems have been calculated. Radiative lifetime of A1Σ+–X1Σ+ band system has also been determined.  相似文献   

2.
The potential energy curves (PECs) of 5 Ω states generated from the 18 Λ-S states (X 1 Σ +, A1Σ?, 11 Δ, 11 Π, 21Σ+, 21 Π, a 3 Σ +, 13 Δ, 13 Π, 13Σ?, 23Σ+, 23 Π, 15Σ+, 15 Π 25 Π, 15Σ?, 25Σ+ and 15 Δ) of PO+ cation are studied for the first time for internuclear separations from about 0.08 to 1.0 nm. Of these Λ-S states, only the 25Σ+ and 15 Δ are the replusive ones. The a 3 Σ +, 23Σ+, 15Σ?, 23 Π, 13 Δ, 25Σ+ , and 15 Δ are the inverted states with the spin-orbit coupling effect included. The 11 Π, 13 Π, 15 Π and 23 Π states possess the double well. The 15Σ?, 21 Π and 25 Π states and the second wells of 11 Π, 13 Π, 23 Π and 15 Π states are the rather weakly bound states. The PEC calculations are performed by the CASSCF method, which is followed by the icMRCI approach with Davidson correction in combination with the aug-cc-pV6Z basis set. Core-valence correlation and scalar relativistic corrections are included at the same time. The spin-orbit coupling effect is accounted for. All the PECs are extrapolated to the complete basis set limit. The spectroscopic parameters are evaluated for all the Λ-S and Ω bound states, and compared with the measurements and other theoretical results. Fair agreement is found between the present spectroscopic parameters and the measurements. The vibrational properties are evaluated for the weakly bound states. The effect of spin-orbit coupling on the spectroscopic parameters is discussed. The results reported in this paper can be expected to be reliable predicted ones.  相似文献   

3.
This work explored the spectroscopic parameters and vibrational properties of the 21 Λ–S and 42 Ω states of the AlC radical. The PECs were calculated with the CASSCF method, which was followed by the icMRCI+Q approach. The A4Π, a2Π, 52Π, 22Δ, and 12Φ states as well as the first well of B4Σ? state were inverted with the spin–orbit coupling (SOC) effect included; the 14Δ, 14Σ+, and 22Σ? states as well as the second wells of the B4Σ?, 22Σ+, 32Σ+, 42Π and 52Π states were weakly bound, which well depths were less than 650 cm?1; the B4Σ?, 22Σ+, 32Σ+, 42Π, 52Π, and 22Δ states had double wells and the second wells of these states except for B4Σ? had only several vibrational states; the avoided crossings existed between the 22Σ+ and 32Σ+ states, the 32Σ+ and 42Σ+ states, the B4Σ? and 34Σ? states, the 22Δ and 32Δ states, the 42Π and 52Π states, the 52Π and 62Π states, as well as the 24Π and 34Π states. The extrapolation scheme, core–valence correlation and scalar relativistic corrections were included. The spectroscopic parameters and vibrational properties were determined. The TDM curves between two different Λ–S states were calculated and Franck–Condon factors of some transitions were evaluated. The SOC effect on the spectroscopic and vibrational properties was evaluated.  相似文献   

4.
Using the CASSCF method followed by the internally contracted MRCI approach in combination with the correlation-consistent basis sets, the potential energy curves (PECs) are calculated for the X3Π, A3Σ-, B3Σ+, C3Π, E3Δ, a1Σ+, b1Π, c1Δ, d1Σ+, e1Π, 23Σ? and 33Σ? electronic states of AlN molecule for internuclear separations from 0.1 to 1.0 nm. All the electronic states correlate to the three dissociation channels, Al(2Pu) + N(4Su), Al(2Pu) + N(2Du) and Al(2Pu) + N(2Pu). Of these 12 electronic states, only the 23Σ? possesses the double well. The PECs determined by the internally contracted MRCI approach are corrected for size-extensivity errors by means of the Davidson correction. The convergent behavior of present calculations is observed with respect to the basis set and level of theory. The effect of core-valence correlation and scalar relativistic corrections on the spectroscopic parameters is discussed. Scalar relativistic correction calculations are performed by the third-order Douglas-Kroll Hamiltonian approximation at the level of cc-pVTZ basis set. Core-valence correlation corrections are included with a cc-pCVTZ basis set. All the PECs are extrapolated to the complete basis set limit. The spectroscopic parameters are evaluated by fitting the first ten vibrational levels when available, which are obtained by solving the ro-vibrational Schrödinger equation with the Numerov’s method. The spectroscopic parameters are compared with those reported in the literature. Excellent agreement is found between the present results and the measurements. Analyses show that the spectroscopic parameters reported in this paper can be expected to be reliably predicted ones. The Franck-Condon factors and radiative lifetimes of the transitions from the A3Σ?, B3Σ+, C3Π, a1Σ+ and b1Π electronic states to the ground state are calculated for several low vibrational levels, and some necessary discussion has been made.  相似文献   

5.
The potential energy curves (PECs) of the X3Σg, D3Πu, a1Δg, b1Πu, H′3Σu, K3Σu, 13Σu+, 13Πg, 23Σu+, 23Πg, 33Πg, 33Σu+, 23Πu and 23Σg electronic states of the Si2 molecule are investigated using the complete active space self-consistent field (CASSCF) method followed by the valence internally contracted multireference configuration interaction (MRCI) approach with the correlation-consistent basis sets of Dunning and co-workers. The effects on the PECs by the core-valence correlation and relativistic corrections are included. The way to consider the relativistic correction is to use the third-order Douglas-Kroll Hamiltonian approximation. The core-valence correlation correction is made with the aug-cc-pCV5Z basis set. And the relativistic correction is performed at the level of cc-pV5Z basis set. To obtain more reliable results, the PECs determined by the MRCI calculations are also corrected for size-extensivity errors by means of the Davidson modification (MRCI+Q). The PECs of all these electronic states are extrapolated to the complete basis set limit by the total-energy extrapolation scheme. Using the PECs, the spectroscopic parameters are determined and compared with those reported in the literature. With these PECs determined by the MRCI+Q/CV+DK+56 calculations, the vibrational levels and inertial rotation constants of the first 20 vibrational states are evaluated and compared with the RKR data for these electronic states when the rotational quantum number J equals zero. On the whole, as expected, the most accurate spectroscopic parameters and molecular constants of the Si2 molecule are determined by the MRCI+Q/CV+DK+56 calculations. And the spectroscopic parameters of the 13Σu+, 13Πg, 23Σu+, 23Πg, 33Πg, 33Σu+, 23Πu and 23Σg electronic states obtained by the MRCI+Q/CV+DK+56 calculations should be good prediction for future laboratory experiment.  相似文献   

6.
The potential energy curves (PECs) were calculated for the 27 Λ-S states and 73 Ω states of PO radical. The calculations were done using the CASSCF method, which was followed by the internally contracted multireference configuration interaction (icMRCI) approach. To improve the quality of PECs, core-valence correlation and scalar relativistic corrections as well as Davidson correction were included. Of the 27 Λ-S states, the 16Σ+ state was repulsive at any case. The 14Φ and 16Π states were bound, but they became repulsive with the spin-orbit coupling (SOC) effect accounted for. The 34Σ+, a4Π, C′2Δ, D′2Π, 14Δ, 12Φ, 16Σ+ and 16Π states were inverted with the SOC effect included. The F2Σ+ state had double wells. The avoided crossings existed between the B2Σ+ and F2Σ+ states, the F2Σ+ and 32Σ+ states, the C′2Δ and 22Δ states, the 14Δ and 24Δ states, the 24Δ and 34Δ states, the 24Π and 34Π states and the 34Π and 44Π states. The c4Σ+, 24Σ+, 34Σ+, 34Π, 44Π, 54Π, 34Δ, 14Φ and 16Π states were weakly bound, which well depths were within several hundred cm?1. The spectroscopic parameters were derived. The SOC effect on the spectroscopic properties was evaluated. The spectroscopic results obtained here could be expected to be reliably predicted ones.  相似文献   

7.
The potential energy curves (PECs) are calculated for the 20 Λ-S states (X2Πg, A2Πu, B2Σ?g, a4Πu, b4Σ?g, b′4Πg, c4Σ?u, 12Σ+g, 12Σ+u, 12Σ?u, 14Σ+g, 14Σ+u, 14Δg, 14Δu, 16Σ+g, 16Σ+u, 16Πg, 16Πu, 24Πg and 24Πu) of O2+ cation and their corresponding 58 Ω states. Of these 20 Λ-S states, the 16Πu state is found to be repulsive. The 12Σ+g, 14Σ+u, c4Σ?u and 14Δu states are found to possess the double well. The b4Σ?g, 16Σ+g, 14Σ+u, a4Πu, A2Πu, 16Πg and 24Πg states are found to be inverted with the spin–orbit coupling effect included. The b′4Πg, 16Πg, 16Σ+g, 14Σ+u and 14Δu states, and the second well of the 12Σ+g state are found to be the weakly bound states. The b′4Πg state is found to possess one well with one barrier. The PECs are calculated by the complete active space self-consistent field method, which is followed by the internally contracted multireference configuration interaction approach with the Davidson correction in combination with the aug-cc-pV6Z basis set. The core–valence correlation and scalar relativistic corrections are included. The convergent behaviour of present calculations is discussed with respect to the basis set and theoretical level. The spin–orbit coupling effect is accounted for. The PECs are extrapolated to the complete basis set limit. The spectroscopic parameters are evaluated, and compared with available measurements. It demonstrates that the spectroscopic parameters reported here can be expected to be reliably predicted ones.  相似文献   

8.
用能量自洽法研究碱金属双原子分子的势能曲线   总被引:6,自引:1,他引:5       下载免费PDF全文
文静  孙卫国  冯灏 《物理学报》2000,49(12):2352-2356
用能量自洽法(ECM)研究了碱金属双原子分子一些电子激发态的势能曲线:Na2 分子的21Πg,43Πg和b3Π< sub>u电子激发态,K2分子的a3Σu,21Πg,B1Πu和A关键词: 能量自洽 双原子分子 势能 碱金属  相似文献   

9.
The potential energy curves (PECs) of 23 Ω states generated from the 12 electronic states (X1 Σ +, 21 Σ +, 11 Σ ?, 11 Π, 21 Π, 11 Δ, 13 Σ +, 23 Σ +, 13 Σ ?, a3 Π, 23 Π and 13 Δ) are studied for the first time. All the states correlate to the first dissociation channel of the SiBr+ cation. Of these electronic states, the 23 Σ + is the repulsive one without the spin-orbit coupling, whereas it becomes the bound one with the spin-orbit coupling added. On the one hand, without the spin-orbit coupling, the 11 Π, 21 Π and 23 Π are the rather weakly bound states, and only the 11 Π state possesses the double well; on the other hand, with the spin-orbit coupling included, the a3 Π and 11 Π states possess the double well, and the 13 Σ + and 13 Σ ? are the inverted states. The PECs are calculated by the CASSCF method, which is followed by the internally contracted MRCI approach with the Davidson modification. Scalar relativistic correction is calculated by the third-order Douglas-Kroll Hamiltonian approximation with a cc-pVTZ-DK basis set. Core-valence correlation correction is included with a cc-pCVTZ basis set. The spin-orbit coupling is accounted for by the state interaction method with the Breit-Pauli Hamiltonian using the all-electron aug-cc-pCVTZ basis set. All the PECs are extrapolated to the complete basis set limit. The variation with internuclear separation of the spin-orbit coupling constant is discussed in brief. The spectroscopic parameters are evaluated for the 11 bound electronic states and the 23 bound Ω states, and are compared with available measurements. Excellent agreement has been found between the present results and the experimental data. It demonstrates that the spectroscopic parameters reported here can be expected to be reliably predicted ones. The Franck-Condon factors and radiative lifetimes of the transitions from the a3 Π 0 + and a3 Π 1 states to the X1 Σ + 0+ state are calculated for several low vibrational levels, and some brief discussion has been made.  相似文献   

10.
The electronic structure and the spectroscopic constants of the low lying electronic states of the NaK+ ionic molecule have been determined through using an ab initio approach involving a non-empirical pseudopotential for the Na and K cores and core valence correlation correction. The potential energy of nearly 26 electronic states of 2Σ+, 2Π, and 2Δ symmetries has been calculated up to their dissociation limit Na(4d) + K+ and Na+ + K(6s). Their spectroscopic constants (Re, De, Te, ωe, ωeχe, and Be) are derived and compared with the few available theoretical studies. A good agreement has been found for the ground state and few excited states with previous works. New potential energy curves were presented, for the first time, for the higher excited states. Numerous avoided crossing between electronic states of 2Σ+, 2Π symmetries have been localized and analyzed. Their existences are related to the charge transfer between the two ionic molecules Na+K and NaK+. Furthermore, we have determined the transition dipole moments for several states and analyzed the avoided crossings related to charge transfer between alkaline atoms.  相似文献   

11.
ABSTRACT

Multireference configuration interaction method was used in order to generate accurate potential energy curves of the OH, SH, OH? and SH? electronic states correlating to the three lowest dissociation limits. These curves were used in addition with core–valence correlation and scalar relativistic corrections for the calculations of accurate spectroscopic constants of bound states, which generally are found in excellent agreement with best available experimental and theoretical values in the literature. The spin–orbit interactions between electronic states have been calculated for the cases in which the couplings were assumed to be responsible for perturbations and used to explain the predissociation of A2Σ+ state of OH and SH by dissociative states 14Σ?, 12Σ? and 1 4Π. Dipole moment functions were also computed along internuclear distances and used to explain polarity of these molecules in different calculated electronic states. In addition, stability and metastability of electronic states (X 1Σ+, A1Π and a3Π) of OH? and SH? molecular anions have been studied relatively to curves of neutral parent electronic states. Finally, we have computed adiabatic electron affinity of OH and SH and these values have been found in very good agreement with the best experimental values and resort as among the best achieved values.  相似文献   

12.
High-resolution spectra of NiF have been recorded in emission by Fourier transform spectroscopy using a very stable discharge source. The 0-0 bands of 14 electronic transitions have been studied, 6 of them for the first time. This work confirms the presence of 5 low-lying spin components X2Π3/2, [0.25]2Σ+, [0.83]A2Δ5/2, [1.5]B2Σ+, and [2.2]A2Δ3/2 as known from previous laser-induced fluorescence experiments. Eight electronic states are now identified in the 18 000-24 000 cm−1 range above the ground X2Π3/2 state. Electronic assignments for these excited states are not always obvious because of violations of the selection rules and unusual fine structure parameters. We think that some of the upper states are spin components of quartet states. In such a congested spectrum, high-resolution spectra are best analyzed in conjunction with an energy level diagram constructed mainly by dispersed low resolution laser-induced fluorescence.  相似文献   

13.
董嫣然  张树东  侯圣伟  程起元 《中国物理 B》2012,21(8):83104-083104
Potential energy curves(PECs) for the ground state(X 2 Σ +) and the four excited electronic states(A 2 Π,B 2 Π,C 2 Σ +,4 Π) of a BeH molecule are calculated using the multi-configuration reference single and double excited configuration interaction(MRCI) approach in combination with the aug-cc-pVTZ basis sets.The calculation covers the internuclear distance ranging from 0.07 nm to 0.70 nm,and the equilibrium bond length R e and the vertical excited energy T e are determined directly.It is evident that the X2Σ+,A2Π,B2Π,C2Σ+ states are bound and 4Π is a repulsive excited state.With the potentials,all of the vibrational levels and inertial rotation constants are predicted when the rotational quantum number J is set to be equal to zero(J = 0) by numerically solving the radial Schr¨odinger equation of nuclear motion.Then the spectroscopic data are obtained including the rotation coupling constant ω e,the anharmonic constant ωexe,the equilibrium rotation constant Be,and the vibration-rotation coupling constant αe.These values are compared with the theoretical and experimental results currently available,showing that they are in agreement with each other.  相似文献   

14.
Valence and high electronic states of PN have been calculated with accurate quantum chemistry methods. The variety of theoretical methods used includes complete active space self-consistent field, multireference configuration interaction and the newly developed explicitly correlated coupled cluster methods. The large correlation-consistent atomic orbitals basis sets AVQZ, AV5Z and AV(5+d)Z are used for the potential energy curves calculations in the bonding and long-range regions. The spectroscopic constants (Re, Be, ωe, ωexe, αe, De, Te) and the vibrational levels of the bound valence states (X1Σ+, A1Π, a3Σ+, d 3Δ, e3Σ?, C1Σ?, b3Π, D 1Δ and E1Σ+ and some higher bound states) are determined and compared with experimental findings when available. Significant spin–orbit interactions between triplet states and A1Π and E1Σ+ excited states are found near the crossing points of the potential energy curves and could explain predissociation phenomena and the perturbations of the vibrational levels experimentally observed for PN in their A1Π and E1Σ+ states.  相似文献   

15.
Using the complete active space self-consistent field (CASSCF) method followed by the internally contracted multi-reference configuration interaction (MRCI) approach in combination with the correlation-consistent basis sets, this paper studies the potential energy curves of X2Σ+, 22Σ+, 32Σ+, 12Σ?, A2Π, 22Π, 32Π, 12Δ, 14Σ+, 24Σ+, 14Σ?, 14Π, 24Π and 14Δ Λ-S states of BeBr molecule and the corresponding 30 Ω states for the first time. All the Λ-S states correlate to the first two dissociation channels, Be(1Sg) + Br(2Pu) and Be(3Pu) + Br(2Pu), of BeBr molecule. Of these Λ-S states, the 32Π and 24Π are found to be repulsive without the spin–orbit coupling, whereas 14Π, 24Π, 32Π and 24Σ+ are found to be repulsive with the spin–orbit coupling included. A2Π and 22Σ+ possess the double well whether the spin–orbit coupling effect is included or not. Only 14Σ+, 14Σ?, 12Π and 22Π are found to be the inverted Λ-S states. The spin–orbit coupling is accounted for by the state interaction approach with Breit–Pauli Hamiltonian using the all-electron cc-pCVTZ basis set. The potential energy curves determined by the internally contracted MRCI method are corrected for size-extensivity errors by means of the Davidson correction. Core–valence correlation correction is calculated with a cc-pCVTZ basis set. Scalar relativistic correction is included using the third-order Douglas–Kroll Hamiltonian approximation at the level of cc-pVTZ basis set. The spectroscopic parameters of all the Λ-S and Ω bound states are evaluated. The spectroscopic parameters are compared with those reported in the literature. Fair agreement is found between the present results and available measurements. In particular, the energy splitting of 204.43 cm?1 in the A2Π Λ-S state agrees well with the measurements of 201 cm?1. Analyses demonstrate that the spectroscopic parameters reported here can be expected to be reliably predicted ones.  相似文献   

16.
For SiF, low-lying 2Π, 4Π, 2Σ+, 4Σ+, 2Σ, 4Σ, 2Δ, and 4Δ states were studied by configuration-interaction methods, using a double-zeta plus polarization basis set with 4s, 4, 4, and 5 Rydberg orbitals. Potential energy curves and spectroscopic constants for 17 stable valence and Rydberg states are given. The lowest 2Σ state is repulsive. There is good agreement with known spectroscopic constants. Besides A2Σ+, another semidiffuse state, 14Π, is predicted. For the isoelectronic PO molecule, 2π → 3π valence excitations lie below Rydberg excitations, such that 22Π of PO derives from 2π → 3π, whereas 22Π of SiF derives from 3π → 4. Dipole moments of X2Π and A2Σ+ at their respective Re, and the radiative lifetime of A2Σ+ were calculated. For SiF+, many electronic states were investigated, but only two, the X1Σ+ ground state and 13Π are found to be stable. The ionization energy of SiF is calculated to be 6.87 eV (adiabatic) and 7.05 eV (vertical).  相似文献   

17.
Configuration-interaction studies were performed on low-lying 2Σ+, 2Σ, 2Π, 2Δ, 4Σ+, 4Σ, 4Π, and 4Δ states of BO. Sixteen stable states have been found, among them four 3sB Rydberg states. Spectroscopic constants are compared with those of the four observed states and with theoretical results obtained by others. Particular attention is given to the observed perturbations in the C2Π state, which can be explained by interaction with 12Δ, 12Σ, 32Σ+, and other states. Comparison with isoelectronic molecules CN and CO+ reveals many similarities.  相似文献   

18.
采用包含Davidson修正的多参考组态相互作用(MRCI+Q)方法结合6-311++G(3df,3pd)基组计算了LiC分子基态(X4Σ-)以及五个低电子激发态(a2Π,b2Δ,c2Σ-,d2Σ+,A4Π)的势能曲线.将得到的势能曲线拟合到Murrell-Sorbie解析势能函数形式,确定了对应态的平衡结构Re、谐振频率ωe和离解能De等光谱数据,计算值与仅有的几个其他结果进行了比较.通过求解核运动的薛定谔方程首次报道了LiC分子几个低电子态在J=0下的振动能级、转动惯量和六个离心畸变常数(Dν,Hν,Lν,Mν,Nν和Oν).  相似文献   

19.
张树东  刘超 《中国物理 B》2016,25(10):103103-103103
The high accuracy ab initio calculation method of multi-reference configuration interaction(MRCI) is used to compute the low-lying eight electronic states of CuN.The potential energy curves(PECs) of the X~3∑~-,1~3Π,2~3∑~-,1~3△,1~1△,1~1∑~-,1~1Π,and ~5∑~- in a range of R=0.1 nm-0.5 nm are obtained and they are goodly asymptotes to the Cu(~2S_g) + N(~4S_u) and Cu(~2S_g)+N(~2D_u) dissociation limits.All the possible vibrational levels,rotational constants,and spectral constants for the six bound states of X~3∑~-,1~3Π,2~3∑~-,1~1△,1~1∑~-,and 1~1 Π are obtained by solving the radial Schrdinger equation of nuclear motion with the Le Roy provided Level 8.0 program.Also the transition dipole moments from the ground state X~3∑~- to the excited states 1~3Π and 2~3∑~- are calculated and the result indicates that the 2~3∑-X~3∑ transition has a much higher transition dipole moment than the 1~3Π-X~3∑~- transition even though the l~3Π state is much lower in energy than the 2~3∑~- state.  相似文献   

20.
The electronic structure of six low-lying electronic states of scandium hydride, X?1Σ+, a?3Δ, b?3Π, A?1Δ, c?3Σ+ and B?1Π, is studied using multi-reference configuration interaction as a function of bond length. Diagonal and off-diagonal dipole moment, spin–orbit coupling and electronic angular momentum curves are also computed. The results are benchmarked against experimental measurements and calculations on atomic scandium. The resulting curves are used to compute a line list of molecular rovibronic transitions for 45ScH.  相似文献   

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