Abstract

The intramolecular vibronic coupling has a great effect on molecular electronic transitions and associated spectral characteristics, which is a central topic in the study of molecular spectroscopy. In this paper, we investigate the vibronic coupling of a transiently charged state within a single 3,4,9,10-perylenetetracarboxylicdianhydride (PTCDA) molecule in real space by imaging the spatial distribution of single-molecule electroluminescence via highly localized excitation of tunneling electrons in a plasmonic nanocavity. The electron injections from a scanning tunneling microscope tip into a PTCDA molecule on a silver-supported ultrathin salt layer produce a transient doubly charged molecular anion that emits vibrationally resolved fluorescence. The sub-molecular resolved spectroscopic imaging for the –2 valence transiently charged state shows a two-spot pattern along the molecular short axis for the purely electronic 0-0 transition. However, the observed two-spot orientation for certain anti-symmetric vibronic-state imaging is found to be evidently different from the purely electronic 0-0 transition, rotating 90°, which reflects the change in the transition dipole orientation from along the molecular short axis to the long axis. Such a change directly reveals the occurrence of strong vibronic coupling associated with a large Herzberg-Teller (HT) contribution, which goes beyond the conventional Franck-Condon (FC) picture. Combined with theoretical calculations, the anti-symmetric vibration is found to have a strong dynamic disturbance to the transition density of purely electronic transitions, especially those atoms with large transition densities, which induces a strong transition charge oscillation along the long axis of the molecule and thus leads to a transition dipole along the long axis of the molecule. On the other hand, for vibronic emissions associated with the totally symmetric molecular vibration (such as the v<sub>1</sub> (A<sub>g</sub>) mode described above), the observed two-spot orientation in the vibronic-state imaging pattern is found to be the same as the purely electronic 0-0 transition, which directly reveals its FC-dominated nature. Notably, the vibration-induced emission associated with HT-dominated contributions (such as the v<sub>2</sub> (B<sub>3g</sub>) mode) is often discussed in the literature by using an intensity borrowing mechanism via the state mixing with other high-lying eigenstates. In the present work, the v<sub>2</sub>-vibration with B<sub>3g</sub> symmetry is likely to modulate the zero-order electronic wavefunction of the S<sub>1</sub> state in a way to best resemble that of the S<sub>2</sub> state (<i>i.e.</i>, induce efficient mixing of the electronic excited state S<sub>1</sub> with the electronic excited state S<sub>2</sub>), so that the v<sub>2</sub>-vibration induced emission seems to borrow intensities from neighboring S<sub>2</sub>→S<sub>0</sub> transitions. Our results provide a new route for the real-space understanding of the microscopic picture for the vibronic coupling within a single molecule in a transiently charged state.

Highlights

  • 的结果一致。图 2(a)中绿色和橘色曲线分别表示理论计算获得的只含 FC 项和 HT 项贡献的发光光谱。通过对比理论计算曲线与实验数据,我们发现,v1 峰的 确由 FC 项贡献所主导,而 v2 峰则主要是 HT 项贡献所主导。这些 DFT 计算结果 也对我们理解在电子振动跃迁中平衡核构型的改变提供了重要信息,如图 2(e) 和(f)所示。具体而言,v1 电子-振动峰对应的跃迁中电子激发态和基态的势能 曲线极小值之间有明显的位移,那么,根据 FC 原理,这将产生很大的 FC 项贡 献。然而,在 v2 电子-振动峰所对应的跃迁中,势能曲线则几乎没有偏移,这意 味着相应的 FC 项贡献是可以忽略的(因为 FC 因子基于振动波函数对称性原因 几乎为零),因此我们所观察到的 v2 峰应该主要源自 HT 项的贡献,即反映出了 v2 分子振动对电子跃迁过程的强烈动态扰动。

  • The blue and red colors indicate the spatial distributions of the positive and negative charges. (b) Simulated photon image for the 0–0 transition. (c), (f) Schematics of the vibrations for the v1 and v2 modes, superimposed with the S1→S0 transition densities distributed over each atom by Hirschfield population analysis. (d), (g) Calculated vibration-induced transition charges for the v1 and v2 modes. (e), (h) Simulated photon images of the HT-term contributions for the v1 and v2 modes

  • Right: calculated vibration-induced transition charges for the v2 mode, which is shown again to facilitate the comparison with other transition densities between different electronic states given in the figure. (b), (c) Calculated values of the transition dipoles between different electronic states along x, y and z directions and the corresponding energy differences. (d) Simulated different transition densities between different electronic states

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Summary

Introduction

的结果一致。图 2(a)中绿色和橘色曲线分别表示理论计算获得的只含 FC 项和 HT 项贡献的发光光谱。通过对比理论计算曲线与实验数据,我们发现,v1 峰的 确由 FC 项贡献所主导,而 v2 峰则主要是 HT 项贡献所主导。这些 DFT 计算结果 也对我们理解在电子振动跃迁中平衡核构型的改变提供了重要信息,如图 2(e) 和(f)所示。具体而言,v1 电子-振动峰对应的跃迁中电子激发态和基态的势能 曲线极小值之间有明显的位移,那么,根据 FC 原理,这将产生很大的 FC 项贡 献。然而,在 v2 电子-振动峰所对应的跃迁中,势能曲线则几乎没有偏移,这意 味着相应的 FC 项贡献是可以忽略的(因为 FC 因子基于振动波函数对称性原因 几乎为零),因此我们所观察到的 v2 峰应该主要源自 HT 项的贡献,即反映出了 v2 分子振动对电子跃迁过程的强烈动态扰动。. Resolved electroluminescence from a single transient doubly charged PTCDA molecule. (a) Schematic of the STML experiment on a single PTCDA molecule on 4 ML-NaCl/Ag(100). (b) STM image of isolated PTCDA molecules adsorbed on 4ML-NaCl/Ag(100) (+1 V, 2 pA), with the molecular structure given in the inset showing molecular orientation corresponding to the inset STM image. (c) Typical STML spectrum (+3 V, 50 pA, 60 s) acquired at the red “×” marked in (b).

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