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Marit R. Fiechter

Publications and source records attributed to Marit R. Fiechter.

8 recordsLinked to original sources

On intermolecular interactions in the Hamiltonian used in polaritonic chemistry

Experiments have shown that strong coupling between molecular excitations and a mode of a Fabry--Pérot cavity can significantly alter molecular properties, such as reaction rates and equilibrium constants. However, in spite of the large body of theoretical work, the mechanism behind this change is still not well understood. In order to make progress, we first take a step back and investigate the appropriateness of the Hamiltonian that most recent studies are based on. In particular, we investigate the dipole self-energy, which can be divided into in self terms and cross terms. While the self terms are an indispensable part of the Hamiltonian, the cross terms -- which have received attention as they seem to mediate distance-independent interactions between all molecules in the cavity -- are known to, under certain conditions, cancel exactly with the usually neglected intermolecular Coulombic interactions. In this work, we revisit how this cancellation comes about in free space and in a perfect cavity, clarifying that it can only be found when looking beyond the single-mode approximation and taking the full continuum of light modes into account. We also provide numerical evidence suggesting that this cancellation may extend to the case of an imperfect cavity, and show how the situation changes for a more realistic cavity in the framework of macroscopic QED. Finally, we discuss the implications of this cancellation for the single-mode Hamiltonian.

physics.chem-ph↗

Resonant and collective modification of London dispersion interactions under vibrational strong coupling

Experiments have shown that, by tuning a microcavity to resonance with a vibrational mode of the molecules contained within it, one can modify chemical properties, such as reaction rates. This gives rise to the exciting prospect of steering chemical reactivity, just by placing a pair of carefully spaced mirrors around the reaction mixture. However, a decade after the first demonstration, the mechanism behind this effect remains ill-understood. Here, we show how vibrational strong coupling can lead to resonant modification of vibrationally-resolved London dispersion interactions. Employing a mixed quantum-classical dynamics scheme, we then show how this in turn can give rise to resonant rate enhancement in the case of two molecules strongly coupled to the cavity mode, for all regimes of solvent friction. The resonant changes of the London dispersion interaction seem to persist when increasing the number of molecules. Whether this also leads to altered reaction rates in the experimentally relevant collective limit remains an open question, as this regime falls outside the range of applicability of our mixed quantum-classical dynamics approach. Nevertheless, the framework presented here offers an exciting new avenue to explore, and hopefully bring us a step closer towards explaining the mechanism behind vibropolaritonic chemistry.

physics.chem-ph↗

Parity violation effects in helical osmocene: theoretical analysis and experimental prospects

We present a computational investigation of the parity-violating (PV) contributions to the vibrational transitions and nuclear magnetic resonance shieldings of helical osmocene. A number of promising transitions within the spectral window of currently available sub-Hz metrology-grade lasers are identified, exhibiting high intensities and parity violation shifts of up to 7 Hz. We discuss the prospects for the synthesis of this compound and for subsequent ultra-precise mid-IR spectroscopy towards the first detection of parity violation in a chiral molecule.

physics.chem-ph↗

Multidimensional tunnelling of molecules aligned by strong electric fields

Strong electric fields can be used to align molecules. However, a non-polar molecule such as H$_2$ has no preference for its orientation. There are thus two equivalent configurations with equal energy separated by a potential-energy barrier. Quantum mechanically, the molecule can tunnel between these configurations resulting in a tunnelling splitting, which in the case of H$_2$, is the same as the ortho--para splitting. In this work, we generalize semiclassical instanton theory to calculate the energy splitting of molecules in electric fields in full dimensionality. This goes beyond a perturbative treatment of the field and takes into account changes in molecular geometry during the tunnelling process which influence its electrical properties and can have a significant impact on the result. We first study the case of H$_2$ in a static electric field and then show how it can be applied to larger polar molecules subjected to oscillating electric fields, where we find that even large-amplitude heavy-atom tunnelling can lead to observable splittings.

physics.chem-ph↗

Ring-polymer instanton theory for tunneling between asymmetric wells

Instanton theory has arisen as a practical tool for calculating tunneling splittings in molecular systems. Unfortunately, the original formulation of instanton theory fundamentally breaks down when trying to calculate the level splitting in asymmetric double wells, as there is no imaginary-time periodic orbit connecting the two non-degenerate minima. We have therefore developed a new formulation of instanton theory based on a projected flux correlation function that is applicable to these asymmetric systems. Comparison with exact quantum-mechanical results in one- and two-dimensional models demonstrates that it has a reasonably high accuracy, similar to that reported for instanton theory in the symmetric case. The theory is then applied to study tunneling between non-degenerate minima in the biomolecule $α$-fenchol, for which we find good agreement with experiment. Finally, we use the connection to instanton rate theory, which is also derived from flux correlation functions, to discuss the often misunderstood relationship between tunneling splittings and reaction rate constants.

physics.chem-ph↗

Understanding the Cavity Born-Oppenheimer Approximation

Experiments have demonstrated that vibrational strong coupling between molecular vibrations and light modes can significantly change molecular properties, such as ground-state reactivity. Theoretical studies towards the origin of this exciting observation can roughly be divided in two categories, with studies based on Hamiltonians that simply couple a molecule to a cavity mode via its ground-state dipole moment on the one hand, and on the other hand ab initio calculations that self-consistently include the effect of the cavity mode on the electronic ground state within the cavity Born-Oppenheimer (CBO) approximation; these approaches are not equivalent. The CBO approach is more rigorous, but unfortunately it requires the rewriting of electronic-structure code, and gives little physical insight. In this work, we exploit the relation between the two approaches and demonstrate on a real molecule (hydrogen fluoride) that for realistic coupling strengths, we can recover CBO energies and spectra to high accuracy using only out-of-cavity quantities from standard electronic-structure calculations. In doing so, we discover what the physical effects underlying the CBO results are. Our methodology can aid in incorporating more, possibly important features in models, play a pivotal role in demystifying CBO results and provide a practical and efficient alternative to full CBO calculations.

physics.chem-ph↗

How Quantum is the Resonance Behavior in Vibrational Polariton Chemistry?

Recent experiments in polariton chemistry have demonstrated that reaction rates can be modified by vibrational strong coupling to an optical cavity mode. Importantly, this modification only occurs when the frequency of the cavity mode is tuned to closely match a molecular vibrational frequency. This sharp resonance behavior has proved difficult to capture theoretically. Only recently, Lindoy et al. reported the first instance of a sharp resonant effect in the cavity-modified rate simulated in a model system using exact quantum dynamics. We investigate the same model system with a different method, ring-polymer molecular dynamics (RPMD), which captures quantum statistics but treats dynamics classically. We find that RPMD does not reproduce this sharp resonant feature at the well frequency, and we discuss the implications of this finding for future studies in vibrational polariton chemistry.

physics.chem-ph↗

Towards detection of the molecular parity violation in chiral Ru(acac)$_3$ and Os(acac)$_3$

We present a theory-experiment investigation of the helically chiral compounds Ru(acac)$_3$ and Os(acac)$_3$ as candidates for the next-generation experiments for detection of molecular parity violation (PV) in vibrational spectra. We used state-of-the-art relativistic calculations to identify optimal vibrational modes with expected PV effects exceeding by up to two orders of magnitude the projected instrumental sensitivity of the experiment under construction at the Laboratoire de Physique des Lasers in Paris. High-resolution measurements of the vibrational spectrum of Ru(acac)$_3$ carried out as the first steps towards the planned experiment are presented.

physics.chem-ph↗