XF2(X=B,N)分子基态的结构与势能函数

基于Gaussian03计算软件利用QCISD方法,选用不同基组对XF₂(X=B,N)分子基态结构进行了几何优化,在此基础上选出最优基组D95(df,pd)和D95+(df,pd)分别对BF₂和NF₂分子的谐振频率、力常数等进行了计算.推导出XF₂(X=B,N)分子基态的多体展式势能函数,同时根据势能函数绘制了XF₂(X< 关键词： 2')" href="#">BF₂ 2')" href="#">NF₂ 结构 势能函数     

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.     

基态O和D原子的低能弹性碰撞及OD(X2Π)自由基的准确解析势与分子常数

利用CCSD(T)理论及相关一致五重基aug-cc-pV5Z构建了OD(X2Π)自由基的相互作用势, 计算了这个自由基的光谱常数D0, De, Re, ωe, ωeχe及Be, 其值分别为4.4574,4.6225 eV,0.09702 nm, 2724.923,45.3534和10.0096 cm-1, 均与实验结果相符很好. 利用这一相互作用势, 在绝热近似下通过数值求解双原子分子核运动的径向薛定谔方程, 找到了J=0时OD(X2Π)自由基存在的全部23个振动态, 完整地求出了每一振动态的振动能级、振动经典转折点、惯性转动常数和离心畸变常数, 其值与实验结果相当一致. 在1.0×10-11-1.0×10-3 a.u.的能量范围内研究了基态O和D原子沿OD(X2Π)势能曲线的弹性碰撞, 计算了这一碰撞的总截面和各分波截面, 分析了各分波截面对总截面的不同贡献. 结果表明: 总截面的形状主要由s分波截面决定, 尽管直到l = 12的其他分波截面均有形状共振存在, 但由于其强度较弱, 大都湮没在较强的s分波截面中.     

Study on spectroscopic parameters and molecular constants of HCl(X~1Σ~+) molecule by using multireference configuration interaction approach

Equilibrium internuclear separations, harmonic frequencies and potential energy curves (PECs) of HCl($X^{1}\Sigma ^{ + })$ molecule are investigated by using the highly accurate valence internally contracted multireference configuration interaction (MRCI) approach in combination with a series of correlation-consistent basis sets in the valence range. The PECs are all fitted to the Murrell--Sorbie function, and they are used to accurately derive the spectroscopic parameters ($D_{\rm e}$, $D_{0}$, $\omega_{\rm e}\chi_{\rm e}$, $\alpha_{\rm e}$ and $B_{\rm e})$. Compared with the available measurements, the PEC obtained at the basis set, aug-cc-pV5Z, is selected to investigate the vibrational manifolds. The constants $D_{0}$, $D_{\rm e}$, $R_{\rm e}$, $\omega_{\rm e}$, $\omega_{\rm e}\chi_{\rm e}$, $\alpha_{\rm e}$ and $B_{\rm e}$ at this basis set are 4.4006~eV, 4.5845~eV, 0.12757~nm, 2993.33~cm$^{ - 1}$, 52.6273~cm$^{ - 1}$, 0.2981~cm$^{ - 1}$ and 10.5841~cm$^{ - 1}$, respectively, which almost perfectly conform to the available experimental results. With the potential determined at the MRCI/aug-cc-pV5Z level of theory, by numerically solving the radial Schr\"{o}dinger equation of nuclear motion in the adiabatic approximation, a total of 21 vibrational levels are predicted. Complete vibrational levels, classical turning points, inertial rotation and centrifugal distortion constants are reproduced, which are in excellent agreement with the available Rydberg--Klein--Rees data. Most of these theoretical vibrational manifolds are reported for the first time to the best of our knowledge.     

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.     

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.     

AlN,GaN和InN分子基态的结构和解析势能函数(英文)

采用密度泛函理论的B3LYP/6-311+G(3df)方法优化计算了A1N,GaN和InN分子基态的平衡结构、振动频率和离解能.根据原子分子反应静力学原理,导出了A1N,GaN和InN分子的合理离解极限,利用Murrell-Sorbie势能函数和从头算结果得到基态相应的解析势能函数并由光谱数据和解析势能函数的关系计算了基态的光谱数据(α_e,B_e,ω_e和ω_ex_e),计算结果与实验数据符合得相当好.     

7Li2分子2 3Σ+g激发态的解析势能函数、谐振频率及振动能级

使用Gaussian03程序包中的“对称性匹配簇/对称性匹配簇-组态相互作用”方法, 利用多个基组对⁷Li₂分子2³Σ⁺_g态的平衡几何进行了优化计算. 同时, 在优化得到的平衡位置附近、于同一条件下通过精细的单点能扫描, 获得了相应基组下的平衡核间距. 发现两者的结果不一致，对不一致的原因进行了解释. 分析表明，由单点能扫描得到的平衡核间距应更为合理. 同时也得出了6-311++G(3df,3pd)，6-311++G(2df,2pd) 及6-311++G(2df,pd)基组均为较优基组的结论.于2.5a₀—37a₀的范围内利用6-311++G(3df,3pd)基组进行单点能扫描并使用最小二乘法拟合出了该态的解析势能函数. 利用解析势能函数的物理意义并结合Rydberg-Klein-Rees方法, 计算出了其相应的谐振频率, 进而计算了其他光谱常数. 为便于比较和分析, 对基态也进行了相应的计算.利用得到的解析势能函数, 对2³Σ⁺_g态的振动能级及振动经典转折点也进行了计算. 关键词： 势能函数 谐振频率 振动能级 Murrell-Sorbie函数     

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}     

BF自由基X~1Σ~+和a~3Π态光谱常数和分子常数研究

采用内收缩多参考组态相互作用方法和相关一致基aug-cc-pV6Z,对BF自由基X~1∑~+和a~3Π态的势能曲线进行了研究.计算是在0.095-133 nm的核间距内进行的.为获得更准确的结果,计算中还考虑了Davidson修正、相对论修正及核价相关修正对势能曲线的影响.相对论修正采用的方法是二阶DouglasKroll哈密顿近似,修正计算是在cc-pV5Z基组水平上进行的.核价相关修正使用的是cc-pCV5Z基组.利用得到的势能曲线,拟合出了各种修正下BF自由基X~1∑~+和a~3Ⅱ态的光谱常数De,Re,ωe,ωeχe,ωeye,Be和αe、并与实验结果进行了比较.结果表明:考虑Davidson修正、相对论修正和核价相关修正后得到的光谱常数最接近实验结果.利用修正后的势能曲线,通过求解径向振转Schr6dinger方程,找到了转动量子数J=0时这两个电子态的全部振动态,并计算了每一电子态前20个振动态的振动能级、惯性转动常数和离心畸变常数,其值与已有的实验结果较为一致.本文得到的光谱常数和分子常数达到了很高的精度,能为进一步的光谱实验提供可靠的参考.