Photoexcited state dynamics in carotenoids

<p>Carotenoids are an important class of biomolecules found in nature with exquisite photo- physical properties. The quasi-one-dimensional nature of carotenoids enhances the roles of the electron-electron interactions and electron-nuclear coupling in their π-conjugated systems. This gives rise...

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Main Author: Manawadu, D
Other Authors: Barford, W
Format: Thesis
Language:English
Published: 2023
Subjects:
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author Manawadu, D
author2 Barford, W
author_facet Barford, W
Manawadu, D
author_sort Manawadu, D
collection OXFORD
description <p>Carotenoids are an important class of biomolecules found in nature with exquisite photo- physical properties. The quasi-one-dimensional nature of carotenoids enhances the roles of the electron-electron interactions and electron-nuclear coupling in their π-conjugated systems. This gives rise to a fascinating excited state structure with a nonemissive ‘dark’ excited state, labelled S<sub>1</sub>/2 <sup>1</sup>A<sub>g</sub><sup>-</sup> , of energy below the photoexcited ‘bright’ state, labelled S<sub>2</sub>/1 <sup>1</sup><em>B</em><sub>u</sub><sup>+</sup>. This energetic reversal gives rise to the nonemissive properties of carotenoids, their photoprotection properties in light harvesting complexes, and the ability to undergo singlet fission.</p> <p>Singlet fission (SF) is a process by which a singlet excitation dissociates to form two spin-uncorrelated triplet excitations. In carotenoids, the first step of SF is thought to be internal conversion of the photoexcited 1<sup>1</sup><em>B</em><sub>u</sub><sup>+</sup> state to a correlated triplet-pair state. The low-lying excited states of polyenes are studied using the density matrix renormal- isation group (DMRG) method to solve the Pariser−Parr−Pople-Peierls (PPPP) model of π-conjugated systems. The triplet-pair nature of 2<sup>1</sup>A<sub>g</sub><sup>-</sup>, 1<sup>1</sup><em>B</em><sub>u</sub><sup>-</sup>, and 3<sup>1</sup><em>A</em><sub>g</sub><sup>-</sup> states are established via calculation of excitation energies, bond dimerisations, and exciton wave- functions. Importantly, the 1<sup>1</sup><em>B</em><sub>u</sub><sup>-</sup> state is identified as a potential intermediate state for the internal conversion process in carotenoids.</p> <p>Following the static DMRG calculations, the internal conversion process is probed dynamically using the adaptive time-dependent density matrix renormalisation group method with Ehrenfest dynamics describing the nuclear motion (tDMRG-Ehrenfest). Us- ing the UV-Peierls (UVP) Hamiltonian, two sets of parameters are used to account for the theoretical and experimental uncertainty surrounding the ordering of excited state en- ergies around the Franck-Condon point. Using these two sets of parameters, two internal conversion pathways are investigated, using two different carotenoids as model systems. For both pathways, for both molecules, ultrafast internal conversion of the 1<sup>1</sup><em>B</em><sub>u</sub><sup>+</sup> state to a triplet-pair state is observed within ∼ 5 fs. For all simulations, a triplet-pair yield of ∼ 65% is attained within ∼ 50 fs. These results present the first instance of a dynamical simulation of the internal conversion process in carotenoids.</p> <p>The calculation of theoretical transient spectra using Lanczos-DMRG is incorporated to the dynamical simulation scheme to relate to the available spectroscopic data. The dominant spectral features exhibit a blue shift as the nuclei relax, confirming the 1<sup>1</sup><em>B</em><sub>u</sub><sup>+</sup> → 2<sup>1</sup>A<sub>g</sub><sup>-</sup> internal conversion. Following the calculation of exciton wavefunction of the state dipole connected to the 2 <sup>1</sup>A<sub>g</sub><sup>-</sup> state, these dominant transitions are assigned to the charge-transfer character of the 2 <sup>1</sup>A<sub>g</sub><sup>-</sup> state.</p> <p>The electron transfer process surrounding the internal conversion is scrutinised using a two-level toy model. Using the Landau-Zener theory of electronic transition, it is shown that the electronic transition during the internal conversion evolves from a non-adiabatic transition to a primarily adiabatic transition as the magnitude of the symmetry breaking increases. It is shown that for parameters relevant to carotenoids, the internal conversion process lies in the adiabatic limit.</p>
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spelling oxford-uuid:09940df1-6a77-4181-9601-8f738ad18a152024-02-19T10:37:23ZPhotoexcited state dynamics in carotenoidsThesishttp://purl.org/coar/resource_type/c_db06uuid:09940df1-6a77-4181-9601-8f738ad18a15Chemistry, Physical and theoreticalEnglishHyrax Deposit2023Manawadu, DBarford, W<p>Carotenoids are an important class of biomolecules found in nature with exquisite photo- physical properties. The quasi-one-dimensional nature of carotenoids enhances the roles of the electron-electron interactions and electron-nuclear coupling in their π-conjugated systems. This gives rise to a fascinating excited state structure with a nonemissive ‘dark’ excited state, labelled S<sub>1</sub>/2 <sup>1</sup>A<sub>g</sub><sup>-</sup> , of energy below the photoexcited ‘bright’ state, labelled S<sub>2</sub>/1 <sup>1</sup><em>B</em><sub>u</sub><sup>+</sup>. This energetic reversal gives rise to the nonemissive properties of carotenoids, their photoprotection properties in light harvesting complexes, and the ability to undergo singlet fission.</p> <p>Singlet fission (SF) is a process by which a singlet excitation dissociates to form two spin-uncorrelated triplet excitations. In carotenoids, the first step of SF is thought to be internal conversion of the photoexcited 1<sup>1</sup><em>B</em><sub>u</sub><sup>+</sup> state to a correlated triplet-pair state. The low-lying excited states of polyenes are studied using the density matrix renormal- isation group (DMRG) method to solve the Pariser−Parr−Pople-Peierls (PPPP) model of π-conjugated systems. The triplet-pair nature of 2<sup>1</sup>A<sub>g</sub><sup>-</sup>, 1<sup>1</sup><em>B</em><sub>u</sub><sup>-</sup>, and 3<sup>1</sup><em>A</em><sub>g</sub><sup>-</sup> states are established via calculation of excitation energies, bond dimerisations, and exciton wave- functions. Importantly, the 1<sup>1</sup><em>B</em><sub>u</sub><sup>-</sup> state is identified as a potential intermediate state for the internal conversion process in carotenoids.</p> <p>Following the static DMRG calculations, the internal conversion process is probed dynamically using the adaptive time-dependent density matrix renormalisation group method with Ehrenfest dynamics describing the nuclear motion (tDMRG-Ehrenfest). Us- ing the UV-Peierls (UVP) Hamiltonian, two sets of parameters are used to account for the theoretical and experimental uncertainty surrounding the ordering of excited state en- ergies around the Franck-Condon point. Using these two sets of parameters, two internal conversion pathways are investigated, using two different carotenoids as model systems. For both pathways, for both molecules, ultrafast internal conversion of the 1<sup>1</sup><em>B</em><sub>u</sub><sup>+</sup> state to a triplet-pair state is observed within ∼ 5 fs. For all simulations, a triplet-pair yield of ∼ 65% is attained within ∼ 50 fs. These results present the first instance of a dynamical simulation of the internal conversion process in carotenoids.</p> <p>The calculation of theoretical transient spectra using Lanczos-DMRG is incorporated to the dynamical simulation scheme to relate to the available spectroscopic data. The dominant spectral features exhibit a blue shift as the nuclei relax, confirming the 1<sup>1</sup><em>B</em><sub>u</sub><sup>+</sup> → 2<sup>1</sup>A<sub>g</sub><sup>-</sup> internal conversion. Following the calculation of exciton wavefunction of the state dipole connected to the 2 <sup>1</sup>A<sub>g</sub><sup>-</sup> state, these dominant transitions are assigned to the charge-transfer character of the 2 <sup>1</sup>A<sub>g</sub><sup>-</sup> state.</p> <p>The electron transfer process surrounding the internal conversion is scrutinised using a two-level toy model. Using the Landau-Zener theory of electronic transition, it is shown that the electronic transition during the internal conversion evolves from a non-adiabatic transition to a primarily adiabatic transition as the magnitude of the symmetry breaking increases. It is shown that for parameters relevant to carotenoids, the internal conversion process lies in the adiabatic limit.</p>
spellingShingle Chemistry, Physical and theoretical
Manawadu, D
Photoexcited state dynamics in carotenoids
title Photoexcited state dynamics in carotenoids
title_full Photoexcited state dynamics in carotenoids
title_fullStr Photoexcited state dynamics in carotenoids
title_full_unstemmed Photoexcited state dynamics in carotenoids
title_short Photoexcited state dynamics in carotenoids
title_sort photoexcited state dynamics in carotenoids
topic Chemistry, Physical and theoretical
work_keys_str_mv AT manawadud photoexcitedstatedynamicsincarotenoids