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通过核运动促进和抑制穿隧效应。

Promoting and inhibiting tunneling via nuclear motions.

作者信息

Császár Attila G, Furtenbacher Tibor

机构信息

Institute of Chemistry, Loránd Eötvös University, Pázmány sétány 1/A, Hungary and MTA-ELTE Complex Chemical Systems Research Group, H-1518 Budapest 112, P. O. Box 32, H-1117 Budapest, Hungary.

出版信息

Phys Chem Chem Phys. 2016 Jan 14;18(2):1092-104. doi: 10.1039/c5cp04270d.

Abstract

Accurate, experimental rotational-vibrational energy levels determined via the MARVEL (Measured Active Rotational-Vibrational Energy Levels) algorithm and published recently for the symmetric-top (14)NH3 molecule in J. Quant. Spectrosc. Radiat. Transfer, 2015, 116, 117-130 are analyzed to unravel the promoting and inhibiting effects of vibrations and rotations on the tunneling splittings of the corresponding symmetric (s) and antisymmetric (a) rovibrational energy level pairs. The experimental transition data useful from the point of view of the present analysis cover the range 0.7-7000 cm(-1), sufficiently detailed rovibrational energy sets worth analyzing are available for 20 vibrational bands. The highest J value, where J stands for the rotational quantum number, within the experimental dataset employed is 30. Coupling of the "umbrella" motion of (14)NH3 with other vibrational degrees of freedom has only a minor effect on the a-s tunneling splitting characterizing the ground vibrational state, 0.79436(70) cm(-1). In the majority of the cases rotation around the C3 axis increases, while rotation around the two perpendicular axes decreases the tunneling splittings. For example, for the pair of vibrational ground states, 0(+) and 0(-), the tunneling splitting basically disappears at around J = 25 for the (J,K) = (J,1) states, where K = |k| is the usual quantum number characterizing the projection of the rotational angular momentum on the principal axis. The tunneling splittings, defined as energy differences E(a) - E(s) of corresponding energy level pairs, as a function of J and K show a very regular behavior for the ground state (GS) and the nν2 bands. For the other bands investigated exceptions from a regular behavior do occur, especially for bands characterized by degenerate vibrations, and occasionally the data available are not sufficient to arrive at definitive conclusions. The most irregular behavior is observed for rotational states characterized by the k - l = 3n rule (l is the vibrational angular momentum quantum number), with n = 0, 1, 2,… High-quality, variationally computed rovibrational data support all the conclusions of this study based on experimental energy levels.

摘要

通过MARVEL(测量的转动-振动能级)算法确定并于近期发表在《量子光谱与辐射传输杂志》(J. Quant. Spectrosc. Radiat. Transfer, 2015, 116, 117 - 130)上的精确实验转动-振动能级,被用于分析对称陀螺分子(14)NH₃中振动和转动对相应对称(s)和反对称(a)振转能级对隧穿分裂的促进和抑制作用。从当前分析角度来看有用的实验跃迁数据覆盖范围为0.7 - 7000 cm⁻¹,对于20个振动带可获得足够详细且值得分析的振转能级集。在所采用的实验数据集中,J(代表转动量子数)的最高值为30。(14)NH₃的“伞形”运动与其他振动自由度的耦合对表征基振动态的a - s隧穿分裂(0.79436(70) cm⁻¹)仅有微小影响。在大多数情况下,绕C₃轴的转动会增加,而绕两个垂直轴的转动会减小隧穿分裂。例如,对于振动基态对0(+)和0(-),对于(J,K) = (J,1)态,在J ≈ 25时隧穿分裂基本消失,其中K = |k|是表征转动角动量在主轴上投影的常用量子数。定义为相应能级对能量差E(a) - E(s)的隧穿分裂,作为J和K的函数,对于基态(GS)和nν₂带呈现出非常规则的行为。对于所研究的其他带,确实会出现偏离规则行为的情况,特别是对于以简并振动为特征的带,并且偶尔可用数据不足以得出明确结论。对于以k - l = 3n规则(l是振动角动量量子数,n = 0, 1, 2, …)为特征的转动状态,观察到最不规则的行为。基于实验能级的高质量变分计算振转数据支持了本研究的所有结论。

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