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;∑;,1;Π...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;∑;,1;Π,2;∑;,1;△,1;△,1;∑;,1;Π,and;∑;in a range of R=0.1 nm-0.5 nm are obtained and they are goodly asymptotes to the Cu(;S;) + N(;S;) and Cu(;S;)+N(;D;) dissociation limits.All the possible vibrational levels,rotational constants,and spectral constants for the six bound states of X;∑;,1;Π,2;∑;,1;△,1;∑;,and 1;Π are obtained by solving the radial Schrdinger equation of nuclear motion with the Le Roy provided Level 8.0 program.Also the transition dipole moments from the ground state X;∑;to the excited states 1;Π and 2;∑;are calculated and the result indicates that the 2;∑-X;∑ transition has a much higher transition dipole moment than the 1;Π-X;∑;transition even though the l;Π state is much lower in energy than the 2;∑;state.展开更多
The electronic states of the smallest boron cluster B3with excitation energies up to 5 e V are systematically investigated.Geometries and spectroscopic constants for the low-lying electronic states were calculated ...The electronic states of the smallest boron cluster B3with excitation energies up to 5 e V are systematically investigated.Geometries and spectroscopic constants for the low-lying electronic states were calculated using the multireference configuration interaction method with Davidson correction(MRCI+Q).The nondegenerate 12B2and 22A1states are arising from the degenerate~2E~′state in D3hsymmetry,this is also the case for 22B2and 3~2A1.Furthermore,vertical excitation energies,oscillator strengths,main configurations,and transitions of the excited state of B3were determined.Notably,the theoretically predicted wavelengths for the X2A1→22A1and X2A1→22B2electronic transitions(728 nm and 457 nm,respectively)exhibit excellent agreements with experimental absorption bands observed at 736 nm and 458 nm.These theoretical findings provide critical insights into the electronic structure and geometric configuration of the B3cluster.展开更多
The potential energy curves (PECs) of BO molecule, including ∑^+and ∏ symmetries with doublet spin multiplicities, are obtained employing multi-reference configuration interaction (MRCI) method and Dunning's c...The potential energy curves (PECs) of BO molecule, including ∑^+and ∏ symmetries with doublet spin multiplicities, are obtained employing multi-reference configuration interaction (MRCI) method and Dunning's correlation consistent basis sets. The analytical potential energy functions (APEFs) are fitted using the Murrell-Sorbie (MS) function and the least square method. Based on the PECs, the spectroscopic constants of the states have been determined and compared with the theoretical and experimental results available to affirm the accuracy and liability of the calculations. The root-mean-square (RMS) errors between the fitted results and the ab initio values are too little in comparison with the chemical accuracy (349.755 cm^-1). It is shown that the present APEFs are accurate and can display the interaction between the atoms well. The present APEFs can be used to construct more complicated APEF or do some dynamic investigations.展开更多
The spectroscopic and transition properties of strontium chloride(SrCl)are investigated based on the theoretical approach of ab initio quantum chemistry.The calculation accuracy is improved by introducing Davidson cor...The spectroscopic and transition properties of strontium chloride(SrCl)are investigated based on the theoretical approach of ab initio quantum chemistry.The calculation accuracy is improved by introducing Davidson correction,core-valence correlation(CV),the scalar relativistic and spin–orbit coupling(SOC)effects.The results show that the spectroscopic constants of X2S+and A2∏states are consistent with the experimental results.The spectroscopic and molecular constants of most highly excited electronic states are reported for the first time.The permanent dipole moment(PDMs)and the spin–orbit(SO)matrix element have a sudden change for the avoidance of crossing.The potential energy curves(PECs)of the 14 L–S states split into 30Ωstates.The splitting energy of A2∏is 290.76 cm-1,which has a little difference from the experimental value 295.597 cm-1.Finally,the transition properties are given,including transition dipole moment(TDMs),Franck–Canton factor(FCFs)and radiation lifetime.It is found that the calculated radiation lifetime is in the order of 10 ns.The research will provide a theoretical reference for the feasibility of laser cooling of SrCl molecule.The dataset that supported the findings of this study is available in Science Data Bank,with the link http://gffzza4c772bdab62464fs6ckvx9poo9uu6fuc.ffgz.tsg.suse.edu.cn/10.57760/sciencedb.j00113.00218.展开更多
本文采用完全活性空间自洽场(complete active space self-consistent field,CASSCF)和加戴维森校正的多参考组态相互作用(multireference configuration interaction with Davidson correction,MRCI+Q)方法,研究了超氧阴离子(O2-...本文采用完全活性空间自洽场(complete active space self-consistent field,CASSCF)和加戴维森校正的多参考组态相互作用(multireference configuration interaction with Davidson correction,MRCI+Q)方法,研究了超氧阴离子(O2-)的低激发电子态及自旋-轨道耦合(spin-orbit coupling,SOC)效应对电子态的影响.使用aug-cc-pV5Z-dk基组,计算了O2-第一和第二解离极限对应的42个Λ-S态的势能曲线(potential energy curves,PECs)以及束缚态的光谱常数.同时考虑SOC效应,计算了这42个Λ-S态分裂形成的84个Ω态的PECs和部分束缚态的光谱常数.其中第一解离极限结果与已有文献高度一致,第二解离极限结果为本文计算提供.这些结果为研究O2-的电子结构和光谱性质提供了重要的理论依据.针对a4Σ4-态的双势阱现象,本文通过比较不同基组下的计算结果,证实了a4Σ4-态的双势阱形成源于与a4Σ4-态的避免交叉影响.此外,研究发现基组大小直接影响a4Σ4-态的首个势阱深度,这进一步表明基组选择对光谱常数计算的精确性至关重要.本文数据集可在科学数据银行http://gffzzd3cc09b8251d45dfs6ckvx9poo9uu6fuc.ffgz.tsg.suse.edu.cn/10.57760/sciencedb.j00213.00076中访问获取.展开更多
The high level quantum chemistry ab inito multi-reference configuration interaction (MRCI) method with large V5Z basis set is used to calculate the spectroscopic properties of the 15 A-S electronic states (X1∑+, ...The high level quantum chemistry ab inito multi-reference configuration interaction (MRCI) method with large V5Z basis set is used to calculate the spectroscopic properties of the 15 A-S electronic states (X1∑+, A I П, 1 △, 1 ∑, 3∑+, 3П, 3△, 3△ , 5∑+, 5П, 5△, 1П (II), ofAsO+ radical correlated to the dissociation limit As+(3pg) + O(3pg) and As+(IDg) + O(1Dg). In order to obtain better potential curves and more accurate spectroscopic properties, the Davidson modification is taken into account. With the potential energy curves (PECs) determined here, vibrational levels G(v) and inertial rotation constants Bu are computed for all the bound electronic states when the rotational quantum number J equals zero (J = 0). Except for the states X1∑+, A1П , it is the first time that the multi-reference configuration calculation has been used on the 13 A-S electronic states of the AsO+ radical. The potential energy curves of all the A-S electronic states are depicted according to the avoided crossing rule of the same symmetry. Spin-orbit coupling effect (SOC) is introduced into the states X1 ∑+, A1 П, 3П to consider its effects on the spectroscopic properties. Transition dipole moments (TDMs) from A1П 1, 3 П1 states to the ground state X1∑0+ are predicted as well.展开更多
The potential energy curves (PECs) of 14 A-S states for magnesium chloride (MgC1) have been calculated by using multi-reference configuration interaction method with Davidson correction (MRCI + Q). The core-val...The potential energy curves (PECs) of 14 A-S states for magnesium chloride (MgC1) have been calculated by using multi-reference configuration interaction method with Davidson correction (MRCI + Q). The core-valence correlation (CV), scalar relativistic effect, and spin-orbit coupling (SOC) effect are considered in the electronic structure computations. The spectroscopic constants of X2∑+ and A2П states have been obtained, which are in good agreement with the existing theoretical and experimental results. Furthermore, other higher electronic states are also characterized. The permanent dipole moments (PDMs) of A-S states and the spinorbit (SO) matrix elements between A-S states are also computed. The results indicate that the abrupt changes of PDMs and the SO matrix elements are attributed to the avoided crossing between the states with the same symmetry. The SOC effect is taken into account with Breit-Panli operator, which makes the 14 A-S states split into 30 Ωstates, and leads to a double-well potential of the Ω =(3)1/2 state. The energy splitting for the A2I-I is calculated to be 53.61 cm-1 and in good agreement with the experimental result 54.47 cm-1. The transition dipole moments (TDMs), Franck-Condon factors (FCFs), and the corresponding radiative lifetimes of the selected transitions from excited Ω states to the ground state X2∑+ 1/2 have been reported. The computed radiative lifetimes tV1, of low-lying excitesΩ states are all on the order of 10 ns. Finally, the feasibility of laser cooling of MgC1 molecule has been analyzed.展开更多
摘要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;∑;,1;Π,2;∑;,1;△,1;△,1;∑;,1;Π,and;∑;in a range of R=0.1 nm-0.5 nm are obtained and they are goodly asymptotes to the Cu(;S;) + N(;S;) and Cu(;S;)+N(;D;) dissociation limits.All the possible vibrational levels,rotational constants,and spectral constants for the six bound states of X;∑;,1;Π,2;∑;,1;△,1;∑;,and 1;Π are obtained by solving the radial Schrdinger equation of nuclear motion with the Le Roy provided Level 8.0 program.Also the transition dipole moments from the ground state X;∑;to the excited states 1;Π and 2;∑;are calculated and the result indicates that the 2;∑-X;∑ transition has a much higher transition dipole moment than the 1;Π-X;∑;transition even though the l;Π state is much lower in energy than the 2;∑;state.
基金Project supported by the National Natural Science Foundation of China(Grant No.12274178)。
摘要The electronic states of the smallest boron cluster B3with excitation energies up to 5 e V are systematically investigated.Geometries and spectroscopic constants for the low-lying electronic states were calculated using the multireference configuration interaction method with Davidson correction(MRCI+Q).The nondegenerate 12B2and 22A1states are arising from the degenerate~2E~′state in D3hsymmetry,this is also the case for 22B2and 3~2A1.Furthermore,vertical excitation energies,oscillator strengths,main configurations,and transitions of the excited state of B3were determined.Notably,the theoretically predicted wavelengths for the X2A1→22A1and X2A1→22B2electronic transitions(728 nm and 457 nm,respectively)exhibit excellent agreements with experimental absorption bands observed at 736 nm and 458 nm.These theoretical findings provide critical insights into the electronic structure and geometric configuration of the B3cluster.
基金supported by the National Natural Science Foundation of China under Grant No. 10674114
摘要The potential energy curves (PECs) of BO molecule, including ∑^+and ∏ symmetries with doublet spin multiplicities, are obtained employing multi-reference configuration interaction (MRCI) method and Dunning's correlation consistent basis sets. The analytical potential energy functions (APEFs) are fitted using the Murrell-Sorbie (MS) function and the least square method. Based on the PECs, the spectroscopic constants of the states have been determined and compared with the theoretical and experimental results available to affirm the accuracy and liability of the calculations. The root-mean-square (RMS) errors between the fitted results and the ab initio values are too little in comparison with the chemical accuracy (349.755 cm^-1). It is shown that the present APEFs are accurate and can display the interaction between the atoms well. The present APEFs can be used to construct more complicated APEF or do some dynamic investigations.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11564019,11147158,and 12464032)the Department of Education Foundation of Jiangxi Province of China(Grant No.GJJ2401520).
摘要The spectroscopic and transition properties of strontium chloride(SrCl)are investigated based on the theoretical approach of ab initio quantum chemistry.The calculation accuracy is improved by introducing Davidson correction,core-valence correlation(CV),the scalar relativistic and spin–orbit coupling(SOC)effects.The results show that the spectroscopic constants of X2S+and A2∏states are consistent with the experimental results.The spectroscopic and molecular constants of most highly excited electronic states are reported for the first time.The permanent dipole moment(PDMs)and the spin–orbit(SO)matrix element have a sudden change for the avoidance of crossing.The potential energy curves(PECs)of the 14 L–S states split into 30Ωstates.The splitting energy of A2∏is 290.76 cm-1,which has a little difference from the experimental value 295.597 cm-1.Finally,the transition properties are given,including transition dipole moment(TDMs),Franck–Canton factor(FCFs)and radiation lifetime.It is found that the calculated radiation lifetime is in the order of 10 ns.The research will provide a theoretical reference for the feasibility of laser cooling of SrCl molecule.The dataset that supported the findings of this study is available in Science Data Bank,with the link http://gffzza4c772bdab62464fs6ckvx9poo9uu6fuc.ffgz.tsg.suse.edu.cn/10.57760/sciencedb.j00113.00218.
摘要本文采用完全活性空间自洽场(complete active space self-consistent field,CASSCF)和加戴维森校正的多参考组态相互作用(multireference configuration interaction with Davidson correction,MRCI+Q)方法,研究了超氧阴离子(O2-)的低激发电子态及自旋-轨道耦合(spin-orbit coupling,SOC)效应对电子态的影响.使用aug-cc-pV5Z-dk基组,计算了O2-第一和第二解离极限对应的42个Λ-S态的势能曲线(potential energy curves,PECs)以及束缚态的光谱常数.同时考虑SOC效应,计算了这42个Λ-S态分裂形成的84个Ω态的PECs和部分束缚态的光谱常数.其中第一解离极限结果与已有文献高度一致,第二解离极限结果为本文计算提供.这些结果为研究O2-的电子结构和光谱性质提供了重要的理论依据.针对a4Σ4-态的双势阱现象,本文通过比较不同基组下的计算结果,证实了a4Σ4-态的双势阱形成源于与a4Σ4-态的避免交叉影响.此外,研究发现基组大小直接影响a4Σ4-态的首个势阱深度,这进一步表明基组选择对光谱常数计算的精确性至关重要.本文数据集可在科学数据银行http://gffzzd3cc09b8251d45dfs6ckvx9poo9uu6fuc.ffgz.tsg.suse.edu.cn/10.57760/sciencedb.j00213.00076中访问获取.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11274097 and 61275132)the Natural Science Foundation of Henan Province,China(Grant No.2008A140008)
摘要The high level quantum chemistry ab inito multi-reference configuration interaction (MRCI) method with large V5Z basis set is used to calculate the spectroscopic properties of the 15 A-S electronic states (X1∑+, A I П, 1 △, 1 ∑, 3∑+, 3П, 3△, 3△ , 5∑+, 5П, 5△, 1П (II), ofAsO+ radical correlated to the dissociation limit As+(3pg) + O(3pg) and As+(IDg) + O(1Dg). In order to obtain better potential curves and more accurate spectroscopic properties, the Davidson modification is taken into account. With the potential energy curves (PECs) determined here, vibrational levels G(v) and inertial rotation constants Bu are computed for all the bound electronic states when the rotational quantum number J equals zero (J = 0). Except for the states X1∑+, A1П , it is the first time that the multi-reference configuration calculation has been used on the 13 A-S electronic states of the AsO+ radical. The potential energy curves of all the A-S electronic states are depicted according to the avoided crossing rule of the same symmetry. Spin-orbit coupling effect (SOC) is introduced into the states X1 ∑+, A1 П, 3П to consider its effects on the spectroscopic properties. Transition dipole moments (TDMs) from A1П 1, 3 П1 states to the ground state X1∑0+ are predicted as well.
基金Project supported by the National Natural Science Foundation of China(Grand Nos.11564019,11147158,11264020,and 11574114)Jiangxi Provincial Education Department Project,China(Grand No.GJJ170654)
摘要The potential energy curves (PECs) of 14 A-S states for magnesium chloride (MgC1) have been calculated by using multi-reference configuration interaction method with Davidson correction (MRCI + Q). The core-valence correlation (CV), scalar relativistic effect, and spin-orbit coupling (SOC) effect are considered in the electronic structure computations. The spectroscopic constants of X2∑+ and A2П states have been obtained, which are in good agreement with the existing theoretical and experimental results. Furthermore, other higher electronic states are also characterized. The permanent dipole moments (PDMs) of A-S states and the spinorbit (SO) matrix elements between A-S states are also computed. The results indicate that the abrupt changes of PDMs and the SO matrix elements are attributed to the avoided crossing between the states with the same symmetry. The SOC effect is taken into account with Breit-Panli operator, which makes the 14 A-S states split into 30 Ωstates, and leads to a double-well potential of the Ω =(3)1/2 state. The energy splitting for the A2I-I is calculated to be 53.61 cm-1 and in good agreement with the experimental result 54.47 cm-1. The transition dipole moments (TDMs), Franck-Condon factors (FCFs), and the corresponding radiative lifetimes of the selected transitions from excited Ω states to the ground state X2∑+ 1/2 have been reported. The computed radiative lifetimes tV1, of low-lying excitesΩ states are all on the order of 10 ns. Finally, the feasibility of laser cooling of MgC1 molecule has been analyzed.