Mapping molecular funnels with X-rays: precise timings of non-adiabatic excited state dynamics

Time-resolved spectroscopy is a tool that provides access to the time-scale of chemical reactions as they happen. With the help of ultra-short light pulses, it is possible to observe conformal changes in molecules on the time-scale of the atomic motion and electronic motion. Photochemical reactions, such as the damage of DNA by means of sunlight or the key-step in the process of vision, can thus be observed in great detail.

Model system with 2 electronic states exhibiting a sloped CI
Model system with 2 electronic states exhibiting a sloped CI

Observing a photochemical process with a time resolution corresponding to the molecular motion requires at least two pulses: a pump which triggers a reaction and a probe pulse that measure the result. Nonlinear spectroscopy uses multiple pulses to explore excited state phenomena in molecules in even greater detail. Such nonlinear schemes are well-established for optical laser pulses. However, in the X-ray regime, demonstrations of nonlinear spectroscopy are more recent.

Scientists at Stockholm University have proposed a nonlinear spectroscopic technique to investigate the coupled nuclear electronic dynamics in a photo-excited molecule. Non-adiabatic dynamics arise in molecules when the electronic motion slows down and approaches the same time-scale as the much heavier nuclei. This phenomenon may result in the formation of so-called conical intersections, which are “funnels” that connect different electronic states with each other. The energy of different electronic states becomes degenerate at the tip of the cone. Even though the existence of conical intersections in molecules was predicted in the late 1920s, their direct experimental observation is still challenging. The biggest obstacle is the femtosecond (10-15s) time-scale at which the conical intersections operate in a molecule.

An elaborate combination of three pulses to generate a spectroscopic signal

In their theoretical study, Jadoun and Kowalewski propose an elaborate combination of three pulses to generate a spectroscopic signal that tracks conical intersections in a molecule. The photochemical reaction is initiated by an ultra-short ultraviolet laser pulse. After a short delay, a second pulse in the infrared regime creates a coherent superposition of electronic states. A third pulse in the X-ray regime measures the quantum interference created by the second pulse. The observation relies on the information about the dynamic electronic state separation embedded in the quantum interference created by the second pulse. The time-varying energy difference between the two electronic states is visualized in spectra constructed by altering the time delays between the three pulses. The proposed method can also observe the lifetime of the quantum interference created by the visible/infrared pulse. The technique is capable of observing multiple indicators of a conical intersection in molecules, potentially giving deeper insight into the physical mechanism behind conical intersections.

Source: Deependra Jadoun, Markus Kowalewski, “Tracking Conical Intersections with Nonlinear X-ray Raman Spectroscopy”, Ultrafast Science 0003, 2022.

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