Spectroscopic parameters and molecular constants of HI(X~1Σ~+),DI(X~1Σ~+) and TI(X~1Σ~+) isotope molecules

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, D_e, R_e, ω_e, ω_eχ_e, α_e and B_e 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, D_e, R_e, ω_e, ω_eχ_e, α_e and B_e 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, D_e, R_e, ω_e, ω_eχ_e, α_e and B_e 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.     

Elastic Collisions Between two Ground-State P and D Atoms at Low and Ultralow Temperatures

The PD（X^3∑^-） interaction potential is constructed using the CCSD（T） theory and the basis set, augcc-pV5Z. Using this potential, the spectroscopic parameters are accurately determined. The present Do, De, Re, ωe, ωeχe, αe, and Be are of 3.056 99 eV, 3.161 75 eV, 0.142 39 nm, 1701.558 cm^-1, 23.6583 cm^-1, 0.085 99 cm^-1, and 4.3963 cm^-1, respectively, which almost perfectly conform with the measurements. A total of 26 vibrational states is predicted when J = 0 by solving the radial Sehrodinger equation of nuclear motion. The complete vibrational levels, classical turning points, initial rotation and centrifugal distortion constants when J = 0 are reported for the first time, which favorably agree with the experiments. The total and various partial-wave cross sections are calculated for the elastic impact between two ground-state P and D atoms at 1.0 × 10^-12 - 1.0 × 10^-4 a.u. when they approach each other along the PD（X^3∑^-） potential. No shape resonances exist in the total elastic cross sections, though the peaks can be found for each partial wave until l=6. The shape of the total elastic cross sections is dominated by the s partial wave at very low temperatures. Due to the weakness of the shape resonances of each partial wave, they are all passed into oblivion by the strong total elastic cross sections.     

SO＋离子b4∑-态光谱常数和分子常数研究

采用考虑Davidson修正的内收缩多参考组态相互作用方法和相关一致基aug—CC—pV5Z，在0．103—1．083nm的核间距内计算了SO＋离子b4∑-态的势能曲线．采用态相互作用方法和非收缩全电子aug．CC—pCVTZ基组、利用完全Breit—Pauli算符计算了旋轨耦合效应对光谱常数的影响．为提高势能曲线和旋轨耦合常数的计算精度，考虑了核价相关效应和相对论效应对势能曲线的影响．核价相关效应是使用CC—pCVTZ基组计算的；相对论效应是在-cc-pV5Z基组水平上使用三级Douglas．Kroll．Hess哈密顿算符计算的．利用得到的势能曲线，计算了各种情况下的光谱常数，并进行了详尽的分析和讨论．结果表明：在MRCI＋Q／aug—cc—pV5Z＋CV＋DK理论水平获得的光谱常数总体上最接近实验值．在MRCI＋Q／aug-cc-pV5Z＋CV＋DK理论水平，用全电子aug—cc—pCVTZ基组计算旋轨耦合修正时得到的旋轨耦合常数为1cm^-1．利用MRCI＋Q／aug-cc-pV5Z＋CV＋DK理论水平得到的势能曲线，通过求解核运动的振转Schr6dinger方程，计算了无转动SO＋离子b4∑-态前20个振动态的G（v），Bv和Dv等分子常数．其值与已有的实验结果一致．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．文中的大部分光谱常数和分子常数均属首次报道．     

用MRCI方法研究CS+同位素离子X2Σ+和A2Π态的光谱常数与分子常数

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}     

MRCI study of spectroscopic and molecular properties of X1Σg+ and A1Πu electronic states of the C2 radical

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.     

Stereodynamics of the O（^3p） with H： （D2） （v = O,j =O） reaction

Quasi-classical trajectory theory is used to study the reaction of O（3p） with H2 （D2） based on the ground 3A″ potential energy surface （PES）. The reaction cross section of the reaction O＋H2→＋OH＋H is in excellent agreement with the previous result. Vector correlations, product rotational alignment parameters （P2（j′. k）） and several polarizeddependent differential cross sections are further calculated for the reaction. The product polarization distribution exhibits different characteristics that can be ascribed to different motion paths on the PES, arising from various collision energies or mass factors.     

Theoretical investigations of spectroscopic parameters and molecular constants for electronic ground state of Cl2 and its isotopes

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.     

Elastic Scattering of Ultracold 23Na and 39K Atoms in the Singlet State

The elastic scattering properties for collisions between ultracold 23Na and 39K atoms in the singlet state are investigated. Based on the recent theoretical and experimental results, the improved hybrid potential is presented for the singlet X1Σg＋ ground state of NaK. By means of the Numerov and semiclassical methods, the values of the s-wave scattering length a for the singlet state are calculated to be 33.3757a0 and 37.9399a0, respectively. Pronounced shape resonances appear for the l = 1 partial wave for the X1Σg＋ state. In addition, the s-wave scattering cross section, total cross section and energy positions of shape resonances for the X1Σg＋ state are discussed.     

应用变相法研究超冷镁原子的弹性散射特性

本文基于参考文献[5]构建的精确的基态Mg_2的势能曲线,应用变相法对超冷温度下Mg原子的弹性散射特性进行了系统的研究.计算得到Mg原子碰撞的散射长度和有效力程分别为25.9a_0和191.3a_0,其中a_0是玻尔半径;低能极限下镁原子间的弹性碰撞主要为s-波碰撞,同时计算得到的基态Mg_2支持束缚态的数目为19.计算结果与文献[5]和Numerov法所得结果一致.     

基态H和Br原子的低能弹性碰撞研究

利用分波法研究了低温及极低温下基态H和Br原子沿HBr(X1Σ+)分子相互作用势发生的弹性碰撞. 在1.0×10-11-1.0×10-3 a.u.的碰撞能区内通过数值求解原子-原子碰撞的薛定鄂方程, 计算了这一弹性碰撞的总截面和各分波截面, 讨论了各分波截面对总弹性截面的贡献. 结果表明在非常低的温度下这一弹性散射的总截面值很大、且几乎为一常数. 分析指出在极低能区内总弹性截面的形状主要由s分波截面的形状决定. 在总弹性截面上存在着2个较强的形状共振, 一个位于2.276×10-4 a.u., 另一个位于4.440×10-4 a.u. 计算表明前者主要来自于f和g分波的联合贡献, 后者主要来自于l = 5和l = 7分波的联合贡献. 虽然在f分波上还存在一个形状共振、且在直到l = 8的其它分波中也都存在强度不同的形状共振, 但它们都被淹没在较强的总弹性截面中. 同时计算还表明, 高于l = 10的分波对总弹性截面已无实质贡献.