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C3较低单重态势能面的从头算计算与振动能级拟合

Ab initio calculations and vibrational energy level fits for the lower singlet potential-energy surfaces of C3.

作者信息

Ahmed Khalil, Balint-Kurti Gabriel G, Western Colin M

机构信息

School of Chemistry, University of Bristol, Cantock's Close, Bristol BS8 1TS, UK.

出版信息

J Chem Phys. 2004 Nov 22;121(20):10041-51. doi: 10.1063/1.1806820.

Abstract

Ab initio multireference configuration interaction potential energy surfaces are computed for the eight lowest singlet surfaces of C(3). These reveal several important features, including several conical intersections in linear, nonlinear, and equilateral triangle geometries. These intersections are important because, particularly for the excited A (1)Pi(u) state, reasonable ab initio results could only be obtained by including nearby, near degenerate, (1)Sigma(u) (-) and (1)Delta(u) states that cross the A (1)Pi(u) state around 4500 cm(-1) above the equilibrium geometry, and a (1)Pi(g) state whose potential in turn crosses the other states about 2000 cm(-1) further up. These states are probably responsible for the complexity of the shorter wavelength UV absorption spectrum of C(3). The computed potential energy surface for the ground, X (1)Sigma(g) (+), state and for the lowest two excited singlet surfaces (which both correlate with the A (1)Pi(u) state in a collinear geometry) are fitted to analytic functional forms. Vibrational energy levels are calculated for both states, taking account of the Renner-Teller coupling in the excited A (1)Pi(u) state. The potential parameters for both states are then least-squares fitted to experimental data. The ground-state fit covers a range of approximately 8500 cm(-1) above the lowest level, and reproduces 100 observed vibrational levels with an average error of 2.8 cm(-1). The A (1)Pi(u) state surfaces cover a range of 3250 cm(-1) above the zero-point level, and reproduce the 44 observed levels in this range with an average error of 2.8 cm(-1).

摘要

通过从头算多参考组态相互作用计算了C(3)的八个最低单重态表面的势能面。这些结果揭示了几个重要特征,包括线性、非线性和等边三角形几何结构中的几个锥形交叉点。这些交叉点很重要,因为特别是对于激发态A (1)Pi(u),只有通过包含在平衡几何结构上方约4500 cm(-1)处与A (1)Pi(u)态交叉的附近、近简并的(1)Sigma(u) (-)和(1)Delta(u)态,以及其势能又在再往上约2000 cm(-1)处与其他态交叉的(1)Pi(g)态,才能得到合理的从头算结果。这些态可能是导致C(3)较短波长紫外吸收光谱复杂性的原因。对基态X (1)Sigma(g) (+)以及最低的两个激发单重态表面(它们在共线几何结构中都与A (1)Pi(u)态相关)的计算势能面拟合为解析函数形式。考虑到激发态A (1)Pi(u)中的伦纳-泰勒耦合,计算了这两个态的振动能级。然后将这两个态的势能参数进行最小二乘拟合到实验数据。基态拟合覆盖了最低能级上方约8500 cm(-1)的范围,并以2.8 cm(-1)的平均误差再现了100个观测到的振动能级。A (1)Pi(u)态表面覆盖了零点能级上方3250 cm(-1)的范围,并以2.8 cm(-1)的平均误差再现了该范围内44个观测到的能级。

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