M.
Nazari
a,
C. D.
Bösch
b,
A.
Rondi
a,
A.
Francés-Monerris
c,
M.
Marazzi
cde,
E.
Lognon
c,
M.
Gazzetto
a,
S. M.
Langenegger
b,
R.
Häner
b,
T.
Feurer
a,
A.
Monari
*c and
A.
Cannizzo
*a
aInstitute of Applied Physics, University of Bern, Switzerland. E-mail: andrea.cannizzo@iap.unibe.ch
bDepartment of Chemistry and Biochemistry, University of Bern, Switzerland
cUniversité de Lorraine & CNRS, LPCT UMR 7019, Nancy, France. E-mail: antonio.monari@univ-lorraine.fr
dDepartment of Analytical Chemistry, Physical Chemistry and Chemical Engineering, University of Alcalà, Spain
eChemical Research Institute ‘‘Andrés M. del Río’’ (IQAR), University of Alcalà, Spain
First published on 18th July 2019
In this study we reveal the detailed photocycle of a phenanthrene monomer. Phenanthrene serves as a popular building block for supramolecular systems and as an archetypal molecule to study the photochemistry of polycyclic aromatic hydrocarbons. By means of femtosecond time-resolved UV-vis transient absorption spectroscopy and molecular modeling, we found that the first bright transition involves the second excited singlet state, which relaxes toward the lowest excited singlet state with a biphasic internal conversion through a conical intersection region: a fast coherent branching followed by an exceptionally slow (∼ps) incoherent internal conversion. We succeeded to pinpoint the complete relaxation pathways and to extract the relevant parameters, e.g., the branching ratio at the conical intersection and internal conversion rates.
Despite the relative simplicity and the wide range of applications of phenanthrene and its aggregates, their photophysics and in particular the competing relaxation pathways have not been thoroughly characterized, neither experimentally nor theoretically. Accordingly, the motivation to carry out this study was twofold. On one hand we aimed at filling the knowledge gap in the photophysics of PAHs, using phenanthrene as an illustrative case study and on the other hand to unveil the unique photophysical features of phenanthrene responsible for the efficient EnT mechanism. The perspective is to build a new paradigm for the development of large and efficient MCS light harvesters in the visible range. Indeed, the present study is the first step to understand and characterize efficient EnT in DNA-hosted MCSs bearing phenanthrene building blocks as light harvesters.
Femtosecond (fs) time-resolved transient absorption (TA) spectroscopy18 is one of the methods of choice to study and characterize the population and energy migration dynamics following photoexcitation. The experimental results also serve as invaluable feedback for molecular modelling. Only such a synergic approach can identify and characterize the relevant relaxation channels. In the broader perspective of designing more efficient MCSs, unravelling the interplay between photoinduced electronic and nuclear dynamics inherent to the monomer itself is a prerequisite to identify those dynamics emerging as a consequence of the mutual coupling in the MCS structure.
Therefore, we investigated the excited state population dynamics in phenanthrene monomers with UV-Vis fs time-resolved TA spectroscopy and complemented the experiments with static and non-adiabatic molecular dynamics (NAMD) simulations. This combined study reveals that the phenanthrene photocycle cannot be described via a simple two-state model typical for other small π-conjugated organic dyes. Indeed, even though it is usually recognized that a two-state model is a too crude approximation to allow for the proper characterization of the photophysical phenomena, the precise identification of the complex excited state landscape of PAHs is usually overlooked. In particular, the excited state dynamics of phenanthrene is quite complex and we identified a population redistribution mediated first by a conical intersection (CI) region followed by a slow thermally activated adiabatic exchange with the lowest excited singlet state. The excellent quantitative agreement between simulation and the experimental results suggests phenanthrene as a benchmark system to study the photophysical and photochemical processes mediated by CIs amongst several excited states.
Fig. 1 Steady state UV-Vis absorption and emission spectra (conditions: excitation at 320 nm, concentration 5 μM); (inset) chemical structure of aqueous carboxamide-substituted phenanthrene. |
Fig. 2A shows a representative selection of TA spectra of aqueous phenanthrene monomers in a buffer solution at pH 7 upon excitation at 320 nm. The fastest dynamic is dominated by a short-lived strong negative signal at shorter wavelengths (λ < 500 nm) which decays in 120 fs. The main features in the sub-picosecond domain are a signal rise within 400 fs, followed by a decay of the overall signal in 10s to 100s of ps. The negative signal drop at λ < 350 nm is assigned to a ground state bleach (GSB) of the steady state absorption, in particular of the ∼310 nm band (Fig. 1).
Fig. 2 TA results. (A) A representative selection of spectra upon excitation at 320 nm; (B) time-spectrum decomposition analysis (see eqn (2)): DASs and the relative decay time constants are shown. Inverted steady state absorption and emission bands are also shown. For the sake of visualization the τ1 component is multiplied by 0.01 (see section “Data analysis of time-resolved spectra” in “Experimental and computational methods”). |
To better define the timescales and the corresponding spectral evolutions, we carried out a global analysis based on singular value decomposition,19 which decomposes the experimental data in a series of exponential decays with characteristic lifetimes (τk) and decay associated spectra (DASs). More details are found in the section “Experimental and computational methods”.
The 6 DASs reported in Fig. 2B confirm the previous qualitative model. In particular we find: a pulse limited component (τ1) describing a negative spectrum centered at 390 nm and ranging up to approximately 470 nm, which is not accompanied by any GSB recovery; a biphasic kinetics with two time constants of 100 fs (τ2) and 600 fs (τ3) describing the decay of excited state absorption (ESA) for wavelengths λ<500 nm and a signal rise for longer wavelengths; a decay of the entire signal with two time constants of 12 ps (τ4) and 296 ps (τ5) to a very long-lived (τ6) signal (infinity long-lived with respect to the measured delay interval). The sub-picosecond components are assigned to population dynamics rather than cooling according to the following arguments: (1) the τ1 component is characteristic of a stimulated emission since we observed a large negative signal in a spectral region where no GSB is expected; however it cannot be attributed to the steady state emission in Fig. 1. Indeed it is expected that the width and the shape of unrelaxed emission in fs timescales are still close to the relaxed one.20,21 On the contrary the comparison in Fig. 2B reveals that the pulse-limited signal has a shape distinctly different from the emission/absorption spectrum, i.e. it has a much broader width. As a further confirmation, emission and absorption spectra in Fig. 1 definitively break a mirror-like symmetry pointing to major conformational or electronic change occurring after excitation.20 (2) The τ2 and τ3 components describe two spectral features centred at 360 nm and 650 nm which are spectrally well separated and can be therefore assigned to two ESA bands. τ2 and τ3 are different and are accompanied by sizable changes of the total area. The sign of the DASs is in agreement with a simultaneous decay of an ESA (positive) signal, mainly centred in the blue, and a rise (negative signal) of the long-lived ESA. This assignment is suggestive of a photocycle where the bright excited state does not coincide with the lowest singlet excited state. Consequently, the fastest dynamics are internal conversions (IC) to a low-lying singlet state, as revealed by the steady state emission in the ns timescale. This assignment is also corroborated by hole-burning measurements on phenanthrene monomers in glasses at cryogenic temperatures and time-resolved photoelectron spectroscopy in molecular beams, which report two distinct time constants of 80 fs and 521 fs for the excited states’ decay.22,23 Also the 100 fs component is in agreement with the lifetime of the higher excited singlet states in other aromatic molecules and the suggested IC process via CI was reported in several systems.23–28
Thus, the experimental evidence definitively points to a photocycle (a tentative scheme is depicted in Fig. S1 in ESI†) where (1) the very first relaxation is an ultrafast, pulse-limited (i.e. <40 fs) process, very likely due to the departure from the Frank-Condon (FC) region; (2) the IC relaxation from the bright higher-lying excited singlet state to the lowest excited singlet state consists of a fast (100 fs) and a slow (600 fs) contribution; (3) the 4th and the 5th components describe a decay of the overall signal. We assign the former to a thermally activated non-radiative decay, while the latter is dominated by rotational diffusion.
Molecular modelling using TD-DFT calculations fully confirms the model derived from the experimental observations in as much as they predict two low-lying excited states, namely SA and SB,22,23 both of π,π* nature (Fig. S2 in ESI†) with the former state being dark and the latter one being bright (first column of Table 1). The calculations also predict only a negligible change in the dipole moment norm when going from the ground to the excited state, and consequently solvatochromism can be safely neglected (Fig. S3 in ESI†). Conversely, the sampling of the dynamically and vibrationally allowed conformations29 permits to recover small, but non-zero oscillator strength for the transition to SA (evidenced by the long-wavelength tail in Fig. S3 in ESI†) in agreement with the observed absorption and fluorescence spectra shown in Fig. 1.
R FC | R S A | R S B | |
---|---|---|---|
E(SA) eV | 4.25 | 4.10 | 4.29 |
(fSA) | (0.00) | (0.00) | (0.00) |
E(SB) eV | 4.44 | 4.31 | 4.15 |
(fSB) | (0.29) | (0.28) | (0.53) |
Geometry optimization for the two excited states reveals that their potential energy surfaces (PESs) cross (see Table 1), resulting in a state-inversion process. More importantly the adiabatic energy difference between the two states’ PES minima is quite small, justifying the development of an equilibrium. Hence, to allow for a more precise exploration of the energetic landscape, we calculated the PES over a generalized two-dimensional surface (see the related discussion in computational methods section) connecting the FC region with the two excited state minima (Fig. 3A). For the SB state we find a very steep PES in the FC region which links without any barrier to the CI area between the two states. The appearance of two quasi-degenerate minima for the SA and SB states is also confirmed, and more importantly, the two are separated by a very small barrier that is thermally accessible, hence further justifying the appearance of an equilibrium process even at sub-picosecond timescales.
Fig. 3 Results of TD-DFT calculations. (A) A low-dimensional representation of the phenanthrene monomer PES as a function of two generalized coordinates (eqn (S3) in ESI†) linking the FC region ((ξ,χ) = (0,0)) and the minima of the lower, dark excited state SA ((ξ,χ) = (1,0)) and the higher bright excited state SB ((ξ,χ) = (1,1)). Energy values from Table 1. An intersection region can be identified at χ = 0.6. The absorption and emission processes (the dark blue arrow at 320 nm and the light blue one at 420 nm, respectively) are also shown. Two possible relaxation paths are sketched for visual purposes. (B) The time-evolution of the population of the two lowest-lying singlet excited states of phenanthrene as obtained from the average of the NAMD trajectories, the dark line is obtained by fitting the population of the SA state to a biexponential model. |
The hypothesized relaxation pathway is also confirmed by analysing the evolution of the population of the excited state via NAMD simulations. Indeed, as reported in Fig. 3B one can observe that the population of the SA state reaches ∼80% at 1 ps. However, after a very fast and sharp increase in the population (t < 200 fs), also leading to an evident maximum in the SA population, a quasi-stationary plateau is achieved. The overall population evolution can be interpreted using a multi-step model that gives two distinct time regions: (1) a small impulsive offset (<5 fs) followed by a fast decay in ca. 150 fs, which accounts for ∼80% of the population transfer, and (2) a slow decay taking place in the hundreds of fs to ps regime. These results are in excellent agreement with the experimental measurements and describe the non-adiabatic population of the SA state via the CI region (1) and of the subsequent adiabatic equilibration (2). The evolution of the population in Fig. 3B allows us to estimate the branching ratio of the excited state populations upon passage through the CI to ∼80% and ∼20% towards SA and SB, respectively.
The presence of two distinct pathways is also confirmed by the analysis of the population flow between the states (data not shown). While in the first 200 fs the dynamics are dominated by a net flow from SB to SA, longer timescales show an almost equilibrated number of reciprocal hops between the two surfaces, indicative of an equilibrium between the quasi-degenerate states.
Finally, we also simulated the TA spectra at different times from the NAMD trajectories as reported in Fig. 4. Globally, our calculated spectra correctly reproduce the experimental results, in particular the fast disappearance of the stimulated emission band correlated with the appearance of the ESA band at about 550 nm due to the absorption from the SA state. It is also worth mentioning that Fig. 4 takes into account both ESA and stimulated emission but not GSB. Therefore, the negative simulated signal at λ < 350 nm is only due to the stimulated emission from SB. The stimulated emission from SA, which is centred at 420 nm is on the contrary masked by the much stronger positive ESA signals. Taking into account the lack of the negative contribution at λ < 350 nm due to GSB, the comparison with experimental data (Fig. 2A) and analysis (Fig. 2B) shows that these calculated spectra correctly reproduce the spectral features and temporal evolution of the experimental results, further confirming the soundness of the proposed photocycle.
The photocycle based on our data and simulations is reported in Fig. 5: after the initial population of the bright SB state, the system leaves the FC region in an ultrafast regime, evolving on the PES to the CI region. The absence of significant barriers results in a very rapid photochemical process, which is in accordance with the experimental observations. Once at the CI, the initial excited state population branches towards the SA and SB minima, followed by subsequent thermal equilibration. Hence, according to the experimental and computational results we assigned each DAS component (Fig. 2B) to the following processes: τ1 describes the cooling of the SB potential driven by ultrafast internal vibrational relaxation (IVR). The reported value for this signal is shorter than the measurements’ time resolution (standard deviation) and the real time constant could be a value from 10 to 40 fs; τ2 is ascribed to the arrival at the CI and the IC after branching toward SA; τ3 is assigned to the IC from the equilibrated (but still hot) SB to SA through the small barrier; τ4 refers to a decay of the entire signal without any spectral evolution on timescales typical of vibrational energy transfer to the solvent (cooling). A decrease in the population reveals the presence of non-radiative recombination channels from the hot state of SA; τ5 describes the decay in the amplitude of the entire signal with a value characteristic of rotational diffusion; and finally τ6 is associated with the long-lived population of the relaxed SA state which is responsible for the steady state emission (i.e. fluorescence). Following these assignments we renamed the τ1 to τ6 components as τFC, τIVR, τIC′, τIC′′, τVET, τRot, τFL (see Fig. 5), respectively.
Fig. 5 The photocycle of phenanthrene monomer derived from PES and population dynamics in Fig. 3. The different relaxation processes are shown and labelled according to the following notation: IVR, internal vibrational relaxation and redistribution; IC, internal conversion; VET, vibrational energy transfer (τRot, the rotational diffusion term is not shown). Thin grey arrows represent non radiative recombination channels acting only on hot, not thermalized SA. |
The probe pulse was a broadband continuum covering from 320 nm to 720 nm, generated by focusing a small fraction of the Ti:Sapphire laser source into a 5 mm thick CaF2 crystal. To avoid thermal damage, the crystal was mounted on a motorized stage horizontally wobbling. The residual 800 nm beam was filtered out by a BG40 filter. Afterwards, the probe beam was split by a 50/50 beam-splitter and focused to two spots with ca. 30 μm diameter spot size on the sample. One of them was spatially overlapped with the pump beam and the other passed through an unexcited sample and was used as a reference (in the following probe and reference, respectively). The temporal overlap and delay time between the pump and the probe were computer controlled by a 30 cm motorized delay stage in the pump path. After the sample, both the probe and the reference beam were collected and collimated by a parabolic mirror and then are spectrally dispersed by a CaF2 prism on two 512 pixel complementary metal–oxide semiconductor (CMOS) sensors (S11105 series by Hamamatsu). The polarization of the pump with respect to the probe was parallel. A power dependence measurement was regularly carried out to ensure that experiments are conducted in a linear absorption regime.
The method used for broadband detection was a single-shot time-resolved spectroscopy scheme. In this scheme the TA signal was calculated from two consecutive probe spectra, the first (IU) without and the second (IP) with pump excitation. More details are presented in the ESI.†
(1) |
We decomposed the latter as an expansion of exponential decays with characteristic lifetimes (τk) and DASs:
(2) |
The presence of a pulse-limited contribution was necessary in order to obtain a satisfying fitting. To describe such a contribution we introduced the τ1 component which has indeed a time duration (20 fs) much smaller than the experimental time IRF (∼40 fs). In this case the preserved quantity in the fitting is the product of the amplitude and τ1. For this reason we can reduce the amplitude of the τ1 DAS, for the sake of visibility as shown in Fig. 2B, since the comparison of its amplitude with other DASs has no physical meaning.
R(ξ,χ) = RFC(1 − ξ)(1 − χ) + RSAξ(1 − χ) + RSBχ | (3) |
The nature of the excited states has also been identified using Natural Transition Orbitals (NTOs). For the readers convenience we remind that NTOs, based on the singular value decomposition of the transition density matrix, represent the ideal orbital base to express an electronic transition. Thus, in most of the cases, each excited state can be represented as a transition from the occupied NTO, representing the area from which the electronic density is depleted, to the virtual NTO, representing the region to which the electronic density is accumulated. To validate the TD-DFT level of theory, the vertical excitation and the most relevant pathways along the PES have also been computed using the ab-initio, complete active space self-consistent field corrected by second order perturbation (CASPT2) method as implemented in the MOLCAS 8 software package (see ESI† for details).37
NAMD at the TD-DFT level of theory has been performed to study the excited state decay of phenanthrene and determine the CI branching ratio and the electronic relaxation timescales. 98 trajectories, all of them starting in the bright SB state (S2), have been run for 1 ps allowing excited state population exchanges via the surface hopping algorithm as implemented in SHARC 2.0.38,39 The initial conditions have been stochastically generated from a Wigner distribution around the Franck–Condon region, and the NAMD trajectories have been propagated in the diagonal formalism as implemented in the SHARC algorithm. The ADF modelling suite40–42 has been used for the calculation of the electronic energies, gradients and coupling. The benchmark of the level of theory used for the NAMD simulations, against the high-level multiconfigurational method is also presented in the ESI† fully validating our approach. The time-scales of all the relevant processes have been obtained by the analysis of the global, i.e. averaged over all the trajectories, evolution of the population of the SA and SB state. The time-resolved TA spectra have been calculated a posteriori on top of snapshots extracted from the NAMD at selected times using the TERACHEM software43,44 to obtain the oscillator strength values between the excited states giving access to stimulated emission and ESA signals. The corresponding vertical transitions have been convoluted with Gaussian functions following the same protocol as the one used for the simulation of the steady-state spectra. Note that excitation energies and the corresponding oscillator strengths have been calculated from the active states at a given time for each trajectory as obtained by the NAMD simulations. Further details can be found in the ESI.†
The insights gained by our combined study are not only fundamental to understand the photophysics of phenanthrene monomers, but may also be valuable in the design of efficient multichromophoric light harvesting systems. Indeed, the planar PAHs can provide strong inter-chromophoric coupling and hence a more directional and faster EnT. However to finely tune and control such processes a detailed knowledge of the evolution of the accessible excited states is necessary. In particular, higher excited states characterized by a ps lifetime can have a valuable impact on the global photo excited processes and can hence be exploited to achieve more efficient molecular devices.
Footnote |
† Electronic supplementary information (ESI) available: (A) Calculation of TA signal in single-shot detection; (B) tentative photocycle derived from the analysis of the experimental data only; (C) TD-DFT calculations; (D) details on multiconfigurational calculations and calibration of the molecular models and the TD-DFT method; (E) non-adiabatic molecular dynamics simulations; supporting Fig. S1–S7; supporting Tables S1 and S2; supporting references. See DOI: 10.1039/c9cp03147b |
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