Chen Wang, Kawaguchi Kentarou, Bernath Peter F, Tang Jian
Graduate School of Natural Science and Technology, Okayama University, 3-1-1 Tsushima-naka, Kita-ku, Okayama 700-8530, Japan.
Department of Chemistry and Biochemistry, Old Dominion University, 4541 Hampton Boulevard, Norfolk, Virginia 23529-0126, USA.
J Chem Phys. 2015 Feb 14;142(6):064317. doi: 10.1063/1.4907530.
6229 lines of the Ballik-Ramsay system (b(3)Σg (-)-a(3)Πu) and the Phillips system (A(1)Πu-X(1)Σg (+)) of C2 up to v = 8 and J = 76, which were taken from the literature or assigned in the present work, were analyzed simultaneously by least-squares fitting with 82 Dunham-like molecular parameters and spin-orbit interaction constants between the b(3)Σg (-) and X(1)Σg (+) states with a standard deviation of 0.0037 cm(-1) for the whole data set. As a result of the deperturbation analysis, the spin-orbit interaction constant AbX was determined as 6.333(7) cm(-1) and the energy difference between the X(1)Σg (+) and a(3)Πu states was determined as 720.008(2) cm(-1) for the potential minima or 613.650(3) cm(-1) for the v = 0 levels with Merer and Brown's N(2) Hamiltonian for (3)Π states, which is about 3.3 cm(-1) larger than the previously determined value. Due to this sizable change, a new energy-level crossing was found at J = 2 for v = 3 (F1) of b(3)Σg (-) state and v = 6 of X(1)Σg (+) state, where the strong interaction causes a nearly complete mixing of the wave functions of the b(3)Σg (-) and X(1)Σg (+) states and the forbidden transitions become observable. Using the predictions of our deperturbation analysis, we were able to identify 16 forbidden transitions between the singlet and triplet states at the predicted frequencies with the expected intensities, which verifies our value for the energy difference between the X(1)Σg (+) and a(3)Πu states.
取自文献或在本工作中确定的C₂的Ballik - Ramsay体系(b(³Σg⁻ - a(³Πu))和Phillips体系(A(¹Πu - X(¹Σg⁺))的6229条谱线,v最高到8且J最高到76,通过用82个类Dunham分子参数以及b(³Σg⁻)和X(¹Σg⁺)态之间的自旋 - 轨道相互作用常数进行最小二乘法拟合同时进行分析,整个数据集的标准偏差为0.0037 cm⁻¹。通过微扰分析,对于势能极小值,自旋 - 轨道相互作用常数AbX确定为6.333(7) cm⁻¹,X(¹Σg⁺)和a(³Πu)态之间的能量差确定为720.008(2) cm⁻¹;对于v = 0能级,使用Merer和Brown的(³Π)态的N₂哈密顿量,能量差为613.650(3) cm⁻¹,这比先前确定的值大约大了3.3 cm⁻¹。由于这一显著变化,在b(³Σg⁻)态的v = 3 (F1)和X(¹Σg⁺)态的v = 6处发现了一个新的能级交叉点J = 2,在那里强相互作用导致b(³Σg⁻)和X(¹Σg⁺)态的波函数几乎完全混合,禁戒跃迁变得可观测。利用我们微扰分析的预测结果,我们能够在预测频率处识别出16条单重态和三重态之间具有预期强度的禁戒跃迁,这验证了我们对于X(¹Σg⁺)和a(³Πu)态之间能量差的值。