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1.
An accurate near-equilibrium potential energy surface (PES) for CNC+ is constructed based on a high-level composite ab initio method. By combining explicitly correlated all-electron CCSD(T)-F12b with scalar relativistic effects and higher order correlation up to coupled cluster theory with singles, doubles, triples and quadruples (CCSDTQ) we achieve convergence in the wavenumbers of the fundamentals to ca. 1 cm?1. Rovibrational energies are calculated in a variational approach and vibrational term energies and rotational constants are in excellent agreement with available experimental data. Accurate values for centrifugal distortion constants of CNC+ in different vibrational states are predicted. Especially the centrifugal distortion constants in the vibrational ground state of D0 = 0.563 · 10?6 cm?1 and H0 = 0.188 · 10?10 cm?1 should be superior to experimentally derived values. Reassignments of some experimentally observed transitions are suggested based on a comparison of experimental and calculated term differences. The bending part of the PES appears to be almost quartic and the band origin of the bending vibration is predicted at 94.2 cm?1. Absolute line intensities are calculated for various transitions in CNC+. For the bending vibration, an intensity is predicted that is three orders of magnitude smaller than for the antisymmetric stretching vibration.  相似文献   

2.
张小妞  施德恒  朱遵略  孙金锋 《中国物理 B》2010,19(12):123501-123501
The potential energy curve (PEC) of HI(X1Σ+) molecule is studied using the complete active space self-consistent field method followed by the highly accurate valence internally contracted multireference configuration interaction approach at the correlation-consistent basis sets, aug-cc-pV6Z for H and aug-cc-pV5Z-pp for I atom. Using the PEC of HI(X1Σ+), the spectroscopic parameters of three isotopes, HI(X1Σ+), DI(X1Σ+) and TI(X1Σ+), are determined in the present work. For the HI(X1Σ+), the values of D0, De, Re, ωe, ωeχe, αe and Be are 3.1551 eV, 3.2958 eV, 0.16183 nm, 2290.60 cm-1, 40.0703 cm-1, 0.1699 cm-1 and 6.4373 cm-1, respectively; for the DI (X1Σ+), the values of D0, De, Re, ωe, ωeχe, αe and Be are 3.1965 eV, 3.2967 eV, 0.16183 nm, 1626.8 cm-1, 20.8581 cm-1, 0.0611 cm-1 and 3.2468 cm-1, respectively; for the TI (X1Σ+), the values of D0, De, Re, ωe, ωeχe, αe and Be are of 3.2144 eV, 3.2967 eV, 0.16183 nm, 1334.43 cm-1, 14.0765 cm-1, 0.0338 cm-1 and 2.1850 cm-1, respectively. These results accord well with the available experimental results. With the PEC of HI(X1Σ+) molecule obtained at present, a total of 19 vibrational states are predicted for the HI, 26 for the DI, and 32 for the TI, when the rotational quantum number J is equal to zero (J = 0). For each vibrational state, vibrational level G(?), inertial rotation constant B? and centrifugal distortion constant D? are determined when J = 0 for the first time, which are in excellent agreement with the experimental results.  相似文献   

3.
刘慧  邢伟  施德恒  朱遵略  孙金锋 《物理学报》2011,60(4):43102-043102
利用内收缩多参考组态相互作用方法和价态范围内的最大相关一致基aug-cc-pV6Z, 在0.05—0.60 nm的核间距范围内计算了CS+离子X2Σ+和A2Π态的势能曲线. 利用CS+离子的势能曲线并在同位素质量修正的基础上, 拟合出了X2Σ+和A2Π态的同位素离子1 关键词: 同位素识别 势能曲线 光谱常数 分子常数  相似文献   

4.
王杰敏  孙金锋 《物理学报》2011,60(12):123103-123103
采用内收缩多参考组态相互作用方法和相关一致基对AsN(X 1 Σ+)自由基的势能曲线进行了研究. 计算过程中对两原子分别采用不同基组,As原子为aug-cc-pV5Z基组,N原子为aug-cc-pV6Z基组. 通过最小二乘法将势能曲线拟合成Murrell-Sorbie函数,并进一步计算得到AsN(X 1 Σ+)自由基的光谱常数.光谱常数分别为De=4.97 eV,Re=0.16259 nm, ωe=1061.14 cm-1, ωexe=5.4715 cm-1, Be=0.53919 cm-1和αe=0.003409 cm-1. 通过比较发现它们与实验值符合非常好. 利用得到的解析势能函数, 求解双原子分子核运动的径向Schrödinger方程, 找到了J=0时该自由基存在的全部67个振动态. 对于每一振动态, 分别计算了振动能级、经典转折点、惯性转动常数和离心畸变常数. 与实验结果比较后发现,计算结果达到了很高的计算精度. 关键词: AsN 势能曲线 光谱常数 分子常数  相似文献   

5.
The potential energy curves (PECs) of six low-lying electronic states (X1Σ+, a3Π, a3Σ+, d3Δ, e3Σ and A1Π) of CS molecule have been investigated using the full valence complete active space self-consistent field (CASSCF) method followed by the highly accurate valence internally contracted multireference configuration interaction (MRCI) approach with large correlation-consistent basis sets. Effects on the PECs by the core-valence correlation and relativistic corrections have been taken into account. And the two corrections are performed at the level of cc-pV5Z basis set. The way to consider the relativistic corrections is to use the second-order Douglas-Kroll Hamiltonian approximation. Using the CCSD(T), MRCI and MRCI with the Davidson modification (MRCI + Q), the PECs of electronic states involved are extrapolated to the complete basis set (CBS) limit. With the PECs, the spectroscopic parameters (Te, Re, ωe, ωexe, ωeye, αe, βe, γe and Be) of the six low-lying electronic states are determined. These parameters are in excellent agreement with the experimental data. The complete vibrational states are computed for the six low-lying electronic states when the rotational quantum number J equals zero, and the inertial rotation constants of the first 23 vibrational states are reported, which agree favorably with the RKR data. Comparison with the measurements shows that the two-point total-energy extrapolation scheme can obviously improve the quality of spectroscopic parameters and molecular constants.  相似文献   

6.
刘慧  施德恒  孙金锋  朱遵略 《物理学报》2011,60(6):63101-063101
采用内收缩多参考组态相互作用方法在0.08—2.5 nm的核间距范围内计算了CSe(X1Σ+)自由基的势能曲线.为确保势能曲线的计算精度,C原子使用较大的相关一致基aug-cc-pV5Z,Se原子使用最大的相对论赝势基aug-cc-pV5Z-pp.对CSe(X1Σ+)自由基的势能曲线进行了拟合,并进行了同位素识别,得到了该自由基6个主要同位素分子(12C74< 关键词: 同位素识别 势能曲线 光谱常数 分子常数  相似文献   

7.
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   

8.
In the electronic spectrum of silicon monotelluride which has been produced in microwave discharges through sealed tubes, a large number of new bands belonging to theA 1Π-X 1Σ+ system (3100–3900 Å) and theE 1Σ+-X 1Σ+ system (2800–3100 Å) of Si130Te has been observed. The vibrational structure analyses of these band systems have resulted in the determination of improved vibrational constants in all the three electronic states involved in these transitions. An error in the previous determination of the vibrational constants of theE 1Σ+ state has been corrected. An upper limit for the dissociation energy of the silicon monotelluride has been determined to be 40,000 cm?1.  相似文献   

9.
邢伟  刘慧  施德恒  孙金锋  朱遵略 《物理学报》2013,62(4):43101-043101
采用Davidson修正的内收缩多参考组态相互作用方法(MRCI+Q)及相关一致基aug-cc-pV5Z和aug-cc-pVQZ分别计算了SiSe分子X1Σ+A1Π电子态的势能曲线. 为提高势能曲线的计算精度, 利用两点总能量外推公式, 将两个电子态的势能曲线外推至完全基组极限, 并对其进行了标量相对论修正, 相对论效应是在cc-pV5Z基组水平下使用三级Douglas-Kroll-Hess哈密顿算符计算的. 利用MRCI+Q/Q5+DK理论水平的势能曲线获得了这两个态的光谱常数(Te, De, Re, ωe, ωexe, ωeye, Beαe)和J=0时前30个振动态的BυDυ等分子常数. 其值与已有的实验结果非常一致. 本文得到的光谱常数和分子常数达到了很高精度, 能为进一步的光谱实验和理论研究提供可靠参考. 关键词: 势能曲线 基组外推和标量相对论修正 光谱常数 分子常数  相似文献   

10.
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   

11.
Continuous wave oscillation is observed on transitions belonging to the I2B 0u+-X1Σg+ system into highly excited vibrational levels of the ground state. The I2 laser is optically pumped with a single longitudinal mode argon ion laser oscillating at either 514.5 or 501.7 nm resulting in some 752 assigned laser lines throughout the visible and near infrared. Of these, 44 transitions have 83 ≤ v″ ≤ 96 and are used here to obtain rotational and vibrational constants for levels of X1Σg+ near the dissociation limit. A long range analysis applying the theory of LeRoy to the highest observed levels yields C6 = 1.1 ± 0.1 × 106 cm?1 Å?6 and indicates that the last bound vibrational level of X1Σg+ has v = 114.  相似文献   

12.
使用密度泛函理论B3LYP和B3P86,以及组态相互作用方法CCSD(T)和QCISD, 利用多个基组对7Li2(X1Σ+g)分子的平衡核间距(Re)、谐振频率(ωe)和离解能(De)进行了计算, 发现在CCSD(T)/cc-PVQZ理论水平下得到的结果(Re关键词: 解析势能函数 振动能级 转动惯量 离心畸变常数  相似文献   

13.
刘玉芳  贾毅 《中国物理 B》2011,20(3):33106-033106
This paper calculates the equilibrium internuclear separations, the harmonic frequencies and the potential energy curves of the X^2∑+, A^2П and B^2∑+ states of the CP radical by the highly accurate valence internally contracted multireference configuration interaction method with correlation-consistent basis sets (aug-cc-pV6Z for C atom and aug-cc-pVQZ for P atom). The potential energy curves are all fitted with the analytic potential energy function by the least-square fitting. Employing the analytic potential energy function, we determine the spectroscopic constants (Be, αe and ωeχe) of these states. For the X2∑+ state, the obtained values of De, Be, αe, ωeχe, Re and ωe are 5.4831 eV, 0.792119 cm-1, 0.005521 cm-1, 6.89653 cm-1, 0.15683 nm, 12535.11 cm-1, respectively. For the A2H state, the present values of De, Be,αe, ωeχe, Re and We are 4.586 eV, 0.703333 cm-1, 0.005458 cm-1, 6.03398 cm-1, 0.16613 nm, 1057.89 cm-1, respectively. For the B2E+ state, the present values of De, Be, αe, ωeχe, Re and We are 3.506 eV, 0.677561 cm-1, 0.00603298 cm-1, 5.68809 cm-1, 0.1696 nm, 822.554 cm-1, respectively. For these states, the vibrational states with the rotational quantum number J equals zero (J = 0) are studied by solving the radial nuclear Schr6dinger equation using the Numerov method. For each vibrational state, the vibrational level, the classical turning points, the rotational inertial and the centrifugal distortion constants are calculated. Comparison is made with recent theoretical and experimental results.  相似文献   

14.
BH分子基态和激发态解析势能函数和光谱性质   总被引:3,自引:0,他引:3       下载免费PDF全文
王新强  杨传路  苏涛  王美山 《物理学报》2009,58(10):6873-6878
运用多参考组态相互作用的方法和Dunning’s相关调和基函数并含扩散基的大基组aug-cc-pV5Z,获得了BH分子基态(X1Σ+)和6个电子激发态(a3П, A1П, B1Σ+, b3Σ+, b3 关键词: 势能曲线 解析势能函数 多参考组态相互作用方法 光谱常数  相似文献   

15.
The three lowest-lying electronic states, [Xtilde] 1Σ+, à 3II and à 1II, of the linear BBO molecule have been systematically investigated using ab initio electronic structure theory. The equilibrium structures and physical properties including dipole moments, vibrational frequencies and associated infrared intensities, Renner parameters and energetics for the three states of BBO have been determined employing SCF, CISD, CCSD and CCSD(T) levels of theory and a wide range of basis sets. The ground state of BBO presents a degenerate real bending frequency, while the à 3II and à 1II states show two distinct real bending frequencies due to the Renner-Teller interaction. The bending motion of the à 1II state was analysed using the equation-of-motion (EOM)-CCSD and EOM-CC3 techniques in order to avoid possible variational collapse to a lower-lying state. The [Xtilde] 1Σ+3II separation was predicted to be T 0 = 16.6 kcal mol?1 (5800 cm?1, 0.719 eV) at the cc-pVQZ CCSD(T) level of theory. With the cc-pVQZ EOM-CC3 method the [Xtilde] 1Σ+1II splitting was predicted to be T 0 = 48.0 kcal mol?1 (16 800 cm?1, 2.08 eV), which is in good agreement with the experimental value of T 0 = 46.6 kcal mol?1 (16 300 cm?1, 2.02 eV). The Renner parameters and averaged harmonic frequencies of the bending mode were determined to be ? = 0.184 and ω2 = 363 cm?1 for the à 3II state, and ? = 0.246 and ω2 = 383cm?1 for the à 1II state. The theoretical [Xtilde] 1Σ+ state harmonic B-B stretching frequency ω3 = 636 cm?1 is somewhat higher than the experimental estimate of 582 cm?1 and the predicted à 1II state harmonic B-B stretching frequency ω3 = 861 cm?1 is significantly higher than the experimental estimate of 440 cm?1  相似文献   

16.
施德恒  张小妞  刘慧  朱遵略  孙金锋 《中国物理 B》2010,19(10):103401-103401
The potential energy curve of the Cl 2(X1Σg+) is investigated by the highly accurate valence internally contracted multireference configuration interaction (MRCI) approach in combination with the largest correlation-consistent basis set, aug-cc-pV6Z, in the valence range. The theoretical spectroscopic parameters and the molecular constants of three isotopes, 35Cl2, 35Cl37Cl and 37Cl2, are studied. For the 35Cl2 (X1Σg+), the values of D0 , De , Re , ωe , ωeχe , αe and Be are obtained to be 2.3921 eV, 2.4264 eV, 0.19939 nm, 555.13 cm-1 , 2.6772 cm-1 , 0.001481 cm-1 and 0.24225 cm-1 , respectively. For the 35Cl37Cl(X1Σg+), the values of D0 , De , Re , ωe , ωeχe , αe and Be are calculated to be 2.3918 eV, 2.4257 eV, 0.19939 nm, 547.68 cm-1 , 2.6234 cm-1 , 0.00140 cm-1 and 0.23572 cm-1 , respectively. And for the 37C2 (X1Σg+), the values of D0 , De , Re , ωe , ωeχe , αe and Be are obtained to be 2.3923 eV, 2.4257 eV, 0.19939 nm, 540.06 cm-1 , 2.5556 cm-1 , 0.00139 cm-1 and 0.22919 cm-1 , respectively. These spectroscopic results are in good agreement with the available experimental data. With the potential of Cl2 molecule determined at the MRCI/aug-cc-pV6Z level of theory, the total of 59 vibrational states is predicted for each isotope when the rotational quantum number J equals zero (J = 0). The theoretical vibrational levels, classical turning points, inertial rotation and centrifugal distortion constants are determined when J = 0, which are in excellent accordance with the available experimental findings.  相似文献   

17.
Using two-colour visible (Vis)–ultraviolet (UV) photoionisation and pulsed field ionisation–photoelectron (PFI–PE) methods, we have obtained cleanly rotationally resolved photoelectron spectra for ZrO+(X 2Δ3/2,5/2; v+ = 0, 1, and 2). The rotation assignment of these state-to-state Vis–UV–PFI–PE spectra has allowed the unambiguous determination of the ground state term symmetry for ZrO+(X) to be 2Δ3/2, and the adiabatic ionisation energy of 90Zr16O, IE(90Zr16O) = 54,948.3(8) cm?1 [6.81272(10) eV]. The symmetry of the ionic ZrO+(X 2Δ3/2) ground state determined here disagrees with that reported in previous experiments. The rotational and vibrational constants determined in this experiment for the ionic 90Zr16O+(X 2Δ3/2) ground state are: Be+ = 0.4343(8) cm?1 and αe+ = 0.0019(5) cm?1, and ωe+ = 991.2(8) cm?1 and ωe+xe+ = 3.5(8) cm?1; and those for the ionic 90Zr16O+(X 2Δ5/2) excited spin-orbit state are: Be+ = 0.4357(6) cm?1 and αe+ = 0.0022(4) cm?1, and ωe+ = 991.9(8) cm?1 and ωe+xe+ = 3.6(8) cm?1, respectively. Based on the latter Be+ value, the equilibrium bond distances are determined to be re+ = 1.691(2) Å for 90Zr16O+(X 2Δ3/2) and re+ = 1.688(1) Å for 90Zr16O+(X 2Δ5/2). The IE(ZrO) along with the spectroscopic constants obtained here are valuable for benchmarking the ab initio quantum chemical calculations for energetic and structural predictions of ZrO/ZrO+.  相似文献   

18.
王杰敏  张蕾  施德恒  朱遵略  孙金锋 《物理学报》2012,61(15):153105-153105
采用包含Davidson修正多参考组态相互作用(MRCI)方法结合价态范围内的最大相关一致基As/aug-cc-pV5Z和O/aug-cc-pV6Z, 计算了AsO+ (X2+)和AsO+(A2∏)的势能曲线. 利用AsO+离子的势能曲线在同位素质量修正的基础上, 拟合出了同位素离子75As16O+75As18O+的两个电子态光谱常数. 对于X2+态的主要同位素离子75As16O+, 其光谱常数Re, ωe, ωexe, Be和αe分别为 0.15770 nm, 1091.07 cm-1, 5.02017 cm-1, 0.514826 cm-1和0.003123 cm-1; 对于A2∏态的主要同位素离子75As16O+, 其Te, Re, ωe, ωexe, Be和αe分别为5.248 eV, 0.16982 nm, 776.848 cm-1, 6.71941 cm-1, 0.443385 cm-1和0.003948 cm-1. 这些数据与已有的实验结果均符合很好. 通过求解核运动的径向薛定谔方程, 找到了J=0时AsO+(X2+)和AsO+(A2∏)的前20个振动态. 对于每一振动态, 还分别计算了它的振动能级、转动惯量及离心畸变常数, 并进行了同位素质量修正, 得到各同位素离子的分子常数. 这些结果与已有的实验值非常一致. 本文对于同位素离子75As16O+(X1+), 75As18O+(X1+), 75As16O+(A1∏)和75As16O+(A1∏)的光谱常数和分子常数属首次报导.  相似文献   

19.
张小妞  施德恒  孙金锋  朱遵略 《中国物理 B》2011,20(4):43105-043105
The potential energy curves (PECs) of X1Σ+g and A1Πu electronic states of the C2 radical have been studied using the full valence complete active space self-consistent field (CASSCF) method followed by the highly accurate valence internally contracted multireference configuration interaction (MRCI) approach in conjunction with the aug-cc-pV6Z basis set for internuclear separations from 0.08 nm to 1.66 nm. With these PECs of the C2 radical,the spectroscopic parameters of three isotopologues ( 12C2 ,12C13C and 13C2 ) have been determined. Compared in detail with previous studies reported in the literature,excellent agreement has been found. The complete vibrational levels G(υ),inertial rotation constants B υ and centrifugal distortion constants D υ for the 12C2 ,12C13C and 13C2 isotopologues have been calculated for the first time for the X1Σ+g and A1Πu electronic states when the rotational quantum number J equals zero. The results are in excellent agreement with previous experimental data in the literature,which shows that the presented molecular constants in this paper are reliable and accurate.  相似文献   

20.
Photo-absorption spectrum of carbonyl sulphide (OCS) is recorded in 30,000–91,000 cm?1 (3300–1050 Å) region at an average resolution of 1.2 Å using Photo-physics beamline on the 450 MeV Indus-1 synchrotron radiation source at RRCAT Indore, India. Owing to significant absorption cross section dependence, spectra of OCS are recorded at various pressures (0.001–5 mbar) to optimize the S/N ratio for band systems appearing at different energy regions. The spectral region below 70,000 cm?1 has contributions from dissociation mechanism of the ground state of OCS and three valence band systems arising from promotion of a 3π electron to 4π and 10σ orbital. Improved S/N ratio helped in unambiguous assignment of the valence band progressions at 42,000–48,000 cm?1, 53,000–62,000 cm?1 and 63,500–70,000 cm?1 regions to the 1Δ←X1Σ+ transition, the relatively intense and sharp bands of 1Π←X1Σ+ transition and intense but broad bands of 1Σ+←X1Σ+ transition, respectively, and obtain the vibrational frequencies. Above 70,000 cm?1 Rydberg series arising from s, p, d and f orbitals converging to the ionic ground state X2Π of OCS+ (90,121 cm?1) are identified. Long progression in the first few members of the Rydberg series is suggestive of mixed valence character. Quantum defects are evaluated and used to discuss the nature of the molecular orbital. The present study provides a unifying picture of the VUV photo-absorption spectrum of OCS up to its first ionization limit.  相似文献   

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