Abstract
Singlet fission proceeds through a manifold of triplet-pair states that are exceedingly difficult to distinguish spectroscopically. Here, we introduce a new implementation of photoinduced-absorption-detected magnetic resonance (PADMR) and use it to understand the excited-state absorption spectrum of a tri-2-pentylsilylethynyl pentadithiophene (TSPS-PDT) film. These experiments allow us to directly correlate magnetic transitions driven by RF with electronic transitions in the visible and near-infrared spectrum with high sensitivity. We find that the new near-infrared excited-state transitions that arise in thin films of TSPS-PDT are correlated with the magnetic transitions of T1, not 5TT. Thus, we assign these features to the excited-state absorption of 1TT, which is depleted when T1 states are driven to a spin configuration that forbids subsequent fusion. These results clarify the disputed origin of triplet-associated near-infrared absorption features in singlet-fission materials and demonstrate an incisive general purpose tool for studying the evolution of high-spin excited states.
Singlet fission (SF) is a multiexciton generation process wherein a singlet excited state on one chromophore, S1, partitions its energy with a nearby chromophore in its ground state, S0, to generate two triplet excited states, T1 + T1. As a downconversion process, SF can be used in photovoltaics to reduce thermalization losses,1−3 but recent work has also suggested that intermediate triplet-pair states, particularly 5TT, may have quantum information (QI) applications,4−8 since these may form with high initial spin polarization. Distinct pair states, nTT, form when two adjacent triplet states experience a strong interchromophore exchange interaction, such that pairs with different spin multiplicities, n = 1, 3, or 5, possess different energies. Although SF initially proceeds through spin-allowed interconversion to 1TT, the net-triplet and net-quintet states, 3TT and 5TT, often play an important role in the dynamics but are exceedingly difficult to distinguish due to their electronic similarity.
In principle, the intertriplet interactions make the triplet-pair states distinguishable from T1,9 but in practice, it is difficult to accurately assign optical absorption features. Here, we introduce a new implementation of photoinduced-absorption-detected magnetic resonance (PADMR) spectroscopy and use it to directly correlate photoinduced absorption spectra with spin transitions to identify the optical contributions of triplet-pair states in a polycrystalline thin film of tri-2-pentylsilylethynyl pentadithiophene (TSPS-PDT; Figure 1).10,11 PADMR is a type of population-detected magnetic resonance, or magnetic action spectrum—magnetic-sublevel transitions drive changes in an observed electronic-state concentration by modifying one or more electronic-state interconversion rate constant. In the case of PADMR, we measure the change in photoinduced (or excited state) optical absorption of a sample caused by RF- or microwave-induced transitions within the magnetic state manifold. This detection mechanism affords a much more versatile tool than the more commonly employed photoluminescence-detected magnetic resonance (PLDMR), as it can be applied to any system with high-spin excited states, not only those kinetically coupled to luminescent states—a point of particular importance for studying singlet-fission systems, which do not usually emit. Although PADMR experiments have been described before,12−30 our PADMR spectrometer (diagrammed in Figures 1 and S2) differs markedly. It operates up to very high modulation frequencies (200 MHz) and permits measurements of the PADMR signal as a function of RF-drive frequency (f-PADMR), allowing access to short time scales and low (including 0) magnetic fields, in addition to the more common scan variables, probe wavelength (λ-PADMR) and magnetic field (B-PADMR).17,19 Especially for disordered samples, f-PADMR at zero magnetic field offers strong signals, good spectral resolution, and extremely simple interpretation. In addition, advances in available computer equipment in the 10–20 years since this technique was regularly used have allowed us to implement powerful 2D scan modes for correlating different scan variables that have not been previously demonstrated. See the Supporting Information section S1 for full experimental details. Applying this powerful tool to thin films of TSPS-PDT reveals strong magnetic resonance (MR) transitions associated with free triplet, T1, and weak MR transitions associated with small populations in 5TT. Importantly, the photoinduced absorption features in the near-infrared (NIR), which do not appear in solution and have been commonly assigned to triplet-pair states,9,10,31,32 are correlated with transitions in T1. This surprising observation is most likely explained by kinetic coupling between T1 and the magnetically dark 1TT state via recombination of spin-correlated geminate triplet pairs—leading us to assign the NIR PA features observed here to 1TT.
We begin by discussing the photoinduced absorption (PA) spectroscopy of TSPS-PDT films, as it is essential background for understanding the PADMR results. PA spectroscopy probes the system’s electronic dynamics under modulated visible light excitation, or pump, and is the frequency-domain analog to pulsed-beam transient absorption spectroscopy, more typically carried out in the time-domain. For details on the experimental setup and interpretation, see the Supporting Information section S1.
PA features of TSPS-PDT. Figure 2a shows the absorption spectrum of a TSPS-PDT film at room temperature. Like the one in ref (10), it is red-shifted and broadened relative to the solution-phase absorption due to strong interchromophore interactions. Figure 2b shows the PA spectrum for the same sample, the lock-in signal associated with an amplitude-modulated laser pump recorded as a function of probe wavelength (temperature ≈ 5–10 K, 642 nm excitation, 1 kHz laser-modulation frequency, fmodopt). It is similar to the transient absorption spectra in ref (10), showing a ground-state bleach (GSB) near 500 nm, strong PA features with partially resolved vibronic progression from 550 to 650 nm, and PA in the NIR from 900 to 1200 nm. The additional GSB features are more difficult to discern but appear as weak dips in the spectrum around 725 and 840 nm. Reduced ground-state absorption around 750 nm appears as a small hump in the PA spectrum. The slight mismatch between steady-state absorption features and their corresponding PA features likely comes from the different temperatures used and site selectivity in the PA data due to laser photoexcitation. The vibronic progression peaking at 600 nm is typical of triplet-containing states in PDT films but does not easily distinguish T1 from the various triplet-pair states. The NIR PA features were previously attributed to triplet-pair states, based largely on their absence in solution-phase triplet spectra;10 their assignment is discussed further below.
Under conditions of low pump-modulation frequency, fmodopt, such as in Figure 2b, the signal is dominated by species with long lifetimes. At higher fmod, those signals are diminished—measuring the PA spectrum as a function of fmodopt informs on electronic dynamics (Figures S10 and S11). Reproducing the entire modulation frequency dependence for TSPS-PDT requires at least five decay time constants. The longest three lifetimes (τ1,2,3 = 94, 42, and 3.5 μs) are all associated with very similar optical spectra (see SI Figures S11 and S12). The strong similarity in the PA spectra associated with these three time constants (SI Figure S12) suggests they are all associated with triplet-containing states (i.e., T1 or nTT). The remaining signal at high fmod is described by two time constants, τ4,5 = 430 and 1.8 ns; these time constants are associated with very different spectral shapes, dominated by broad indistinct PIA overlapping with sharp GSB features. The 1.8 ns time constant is probably related to the instrument bandwidth limit and therefore serves as an upper bound on the corresponding state lifetime. The observed lifetimes of all states depend on pump intensity and applied magnetic field (see SI Figures S13–S15). They are also much longer than those reported in ref (10), most likely due to the much lower temperatures used here (∼10 vs 300 K). Specific assignment of the two short-lived spectra (430 and 1.8 ns decay times) is not immediately clear and will require further investigation, as they do not resemble anything from our prior room-temperature TA studies.10 We thus focus the remainder of the discussion on the long-lived species observed at low pump-modulation frequencies.
As in prior transient absorption studies, the PA dynamics and spectra alone cannot be used to assign the features we observe to specific magnetic species. We turn to PADMR spectroscopy to directly correlate electronic transitions with the magnetic transitions to which they are kinetically coupled, in particular the NIR PIA features from 900 to 1200 nm.
Free triplet signatures in f-PADMR. The f-PADMR spectrum of TSPS-PDT probed at the typical triplet PA feature (600 nm) at zero magnetic field (RF-modulation frequency, fmodRF = 2.99 kHz) is shown in Figure 3a. The three strongest features at 85, 990, and 1077 MHz are associated with transitions between sublevels of a triplet state, which we characterize in terms of its zero-field splitting parameters, D and E.35 A fit gives |D| = 1033 MHz and |E| = 41.6 MHz (Figure S16).
The simplest assignment of these magnetic transitions is to T1, corresponding to 2ET, DT – ET, and DT + ET. While 3TT and 5TT are expected to show transitions at similar frequencies (Figure 3b) major contributions from these species can be ruled out. It is unlikely that the observed peaks are primarily composed of 5TT transitions because 5TT typically displays comparably strong MR features at intermediate frequencies, corresponding to QZ2 ↔ QYZ and QZ2 ↔ QXZ. Transitions at such frequencies are observed (Figure 3c; see below) but are orders of magnitude weaker. Assignment of the strong features to 3TT is similarly unlikely, though it cannot be distinguished on the basis of the spectra. 3TT is expected to decay via the spin-allowed “triplet-channel annihilation” (TCA) pathway, 3TT → T1 + S036−39 and is unlikely to form with high yield to begin with due to symmetry considerations.4,34,36,40
The PADMR signals in Figure 3a are negative, −ΔT/T < 0, indicating that driving these MR transitions reduces photoinduced absorption, corresponding to a reduced concentration of the probed state(s). In general, this is caused by sublevel-dependent dynamics, such as a faster decay rate in the product sublevel. The specific origins of the negative PADMR signal are discussed below.
Further interpretation of peak amplitudes in Figure 3 is not straightforward for several reasons. Even the relative peak amplitudes are complicated functions of all the dynamical processes with magnetic-sublevel-dependent electronic-state interconversion rates—they are not simply proportional to sublevel population differences; they may be distorted by instrument sensitivity that varies with RF-drive frequency, fDriveRF (see SI section 2.3.4). They may also depend on crystallite orientation bias. The last point is an important nuance: although the transition frequencies of a triplet state do not depend on molecular orientation at zero magnetic field, their relative intensities do. Each transition is polarized along a different molecular axis;41,42 their intensities depend on their projection onto the driving RF magnetic field, B⃗1.
Weak 5TT transitions in the f-PADMR spectrum. Closer inspection of the f-PADMR spectrum (Figure 3c) reveals weak positive features at 250–400 MHz and negative ones at 1150–1250 MHz; we assign these to 5TT. The 250–400 MHz features correspond to QZ2 ↔ QYZ and QZ2 ↔ QXZ (Figure 3b). Those transitions are characteristic of 5TT, since they are centered at DQ ≈ DT/3, where DQ is the zero-field splitting parameter for 5TT.34,43,44
We assign the 1150–1250 MHz features to the four transitions that couple QYZ and QXZ to QX2-Y2 and QXY. This assignment is implied by their similar amplitudes compared to the 250–400 MHz features and supported by the slight shift relative to the T1 features. The relationships between the 5TT and T1 zero-field splitting parameters, DQ = DT/3 and EQ = ET/3, are only exact when the isotropic exchange, JTT, is the only interaction between the two triplets. In real systems, sublevel energies are also affected by anisotropic interactions; for triplet-pairs, the most important is the magnetic dipole–dipole interaction, analogous to the zero-field splitting but between the triplets in the pair.8,34,43−45 Although we have assigned the weak features to groups of quintet transitions, their low signal-to-noise ratio precludes a more specific and quantitative assignment.
It is clear from these experiments that both T1 and 5TT are populated by photoexcitation, as detected using the 600 nm PA feature commonly associated with the net-triplet population. In what follows, we turn to the NIR PA feature at 1000 nm, seeking to clarify its assignment and take advantage of its electronic-state specificity.
NIR PA correlates with T1 MR. In Figure 4, we show PADMR data for TSPS-PDT for the region surrounding the TZ ↔ TY transition. Figure 4a shows the signal magnitude as a function of both fDriveRF and probe wavelength. Vertical slices in the pseudocolor plot correspond to f-PADMR spectra at fixed probe wavelengths; horizontal slices are λ-PADMR spectra at fixed RF-drive frequencies. Figure 4b shows λ-PADMR spectra for selected RF-drive frequencies, extracted from a global fit reconstruction of the phase-optimized PADMR signal (, where X′ is the real part of the complex-valued signal after rephasing; see SI section S1.2.5 for a discussion of the rephasing process). Figure 4c shows the λ-PADMR basis spectra used to model the full data; each is associated with a Gaussian line shape along the f-PADMR dimension centered at the labeled frequency.
All of the λ-PADMR spectra in Figure 4b,c show the previously discussed NIR PA (Figure 2b, inset), as their signal continues increasing beyond 1000 nm. The PADMR signal is strongest near fDriveRF = 990 MHz, the TZ ↔ TY transition, indicating that that the 1000 nm PA belongs to T1or a state kinetically linked to it. Its negative sign means that driving the transition reduces the probed state population. These observations combined with a consideration of past literature strongly suggest we assign the NIR PA feature in TSPS-PDT to 1TT. Recall that PADMR signals arise through the influence that magnetic transitions have on the concentration of the probed electronic state: the state you drive with RF is not necessarily identical to that you detect electronically—they need only be kinetically coupled in a sublevel-dependent manner. While assignment to T1 remains possible, 1TT is more likely in light of prior work. It was previously assigned to a triplet-pair state,10 and similar features in other acene derivatives have been assigned explicitly to 1TT based in part on their similarity to other singlet transitions and their absence in solution-phase triplet spectra, wherein isolated chromophores cannot possess energetically accessible 1TT.9,31,32 This assignment is discussed more in the Supporting Information. Importantly, it is consistent with a geminate triplet-pair recombination model, which we discuss in the following section.
Spin-correlated geminate triplet pairs. Figure 5a shows an overall kinetic scheme consistent with singlet fission in TSPS-PDT, which has antiferromagnetic TT exchange coupling,10 including both triplet-pair separation and loss pathways. In general, dissociation of a triplet-pair state produces a geminate pair of triplets, 1TT → T1 + T1. Although electronically decoupled, geminate triplet pairs may remain spin-correlated long after dissociation, especially at low temperatures where spin–lattice relaxation is slow, as illustrated for 1TT dissociation in Figure 5b,c. These have been previously described for singlet-fission systems, including in one of our own works.46−48
The spin correlation within geminate triplet pairs arises from the original coupled-pair (nTT) wave function, which can be represented by linear combinations of zero-field states in the uncoupled pair basis.34,36,49 If the triplets are on parallel copies of the same chromophore, then 1TT = 1/√3(|TXTX⟩ + |TYTY⟩ + |TZTZ⟩).34,36,49 Thus, each 1TT dissociation event should yield two of the same sublevel (Figure 5b), assuming the superposition state decoheres rapidly. In the ensemble, dissociation should yield equal populations in TX, TY, and TZ (unequal populations may form through other means, including spin–lattice relaxation). A population with equal sublevel occupations cannot overall absorb or emit RF, precluding observation of an EPR signal. However, individual spins can. If one triplet from a geminate triplet pair such as TZ + TZ absorbs an RF photon (Figure 5b,c), it transitions to a different sublevel, yielding a mismatch such as TZ + TY that has no overlap with the 1TT wave function. Reassociation in this case will not form 1TT or the 5TT sublevels that couple most strongly to it, QZ2 and QX2-Y2.4,34 The result is a steady-state reduction in 1TT population upon RF drive, just as observed in Figure 4.
Unlike the 1TT-specific PA at 1000 nm, we expect 1TT and T1 to show overlapping PA at 600 nm. But just like the NIR-probe PADMR, those PADMR signals are negative as well (Figures 3a and S20). This suggests that the net effect of RF drive is to push population into spin configurations that favor 3TT—for example, 3TTX = 1/√2(|TYTZ⟩ – |TZTY⟩)—thus promoting overall triplet population relaxation via TCA (see Figure 5a,c).36
Thus, our data is consistent with a triplet population dominated by long-lived-spin-correlated geminate triplet pairs that only rarely interact nongeminately. Systems dominated by nongeminate triplet-pair association give the opposite trend, where RF drive increases the rate of triplet fusion.46,48 This is because nongeminate triplet pair encounters with singlet character may fuse, depleting those configurations from the population at steady state. The result in such a case is that RF drive will push the population toward more singlet pair configurations on average.
It is clear that geminate triplet-pair recombination is dominant in our data, since the 1000 nm probe PADMR signal attributed to 1TT is negative, −ΔT/T < 0. This is not surprising: the low-temperature, low-dimensional transport and large antiferromagnetic JTT would naturally discourage dissociation, slow down diffusion, and encourage reassociation so that the uncoupled T1 live transiently and rarely diffuse far enough to encounter a nongeminate partner. However, some nongeminate triplet recombination probably does occur, as implied by the shortened PA lifetimes with increased laser intensity (600 nm probe, Figure S13). Since 1TT is probably a trap (lowest energy excited state), it may be surprising that 1TT → T1 + T1 dissociation would occur at all. But 1TT forms with a large excess of energy (∼0.5–1 eV); the time it takes for this energy to dissipate is probably sufficient for some pairs to escape the trap. The excess energy may also be needed to produce the small but observable quintet populations (Figure 3c).
Correlations between PA and MR frequencies. With the data in Figure 4b, we demonstrated a kinetic link between T1 MR and a PA most likely belonging to 1TT. The f × λ-PADMR data also shows that the MR transition frequencies are correlated with the optical absorption wavelengths (Figure 4). Increasing fDriveRF between 960 and 1010 MHz coincides with blue-shifting features in the λ-PADMR spectra. Perhaps most obvious is the sharp superimposed peak that starts at 850 nm (960 MHz) and blue-shifts by as much as 50 nm (90 meV). A similar feature (of opposite sign) is seen in the PA spectrum (Figure 2b) and is likely a GSB. Given that assignment, the positive sign of the superimposed GSB means that the ground-state population is increased by RF drive. The spectral shift is large, but entirely within the expected distribution, given the breadth of the film absorption spectrum (Figure 2a). The implication is that the inhomogeneous broadening in the MR lines and the optical absorptions is related: there is a positive correlation between the optical and magnetic resonance frequencies. Similar behavior is seen when probing the 600 nm PA (Figure S20): high RF-drive frequencies are associated with bluer PA.
Linear correlations between MR and optical line positions have been previously discussed for other triplet states50−56 and derive from inhomogeneities that perturb the electronic environment. The inhomogeneities must also be relatively static: rapidly sampling different environments produces line-narrowing like is seen with zero-field splittings in solution-phase EPR and NMR spectra. Although we cannot yet identify the specific inhomogeneity responsible, its presence in our data demonstrates an important aspect of PADMR—it is powerfully selective.
In conclusion, we have implemented a new variant of photoinduced-absorption-detected magnetic resonance spectroscopy and used it to study the correlations between magnetic and transient optical spectra in a unique singlet-fission material, polycrystalline TSPS-PDT. We identify strong magnetic resonance transitions associated with uncoupled triplet states, T1, which are accompanied by weak signatures of coupled 5TT states. Furthermore, we find that the near-infrared photoinduced absorption features previously assigned to a variety of triplet-pair states are correlated with magnetic transitions in the T1 manifold. These observations are consistently explained by a model where the free triplet population is dominated by spin-correlated geminate triplet pairs, and driving magnetic transitions promotes 3TT configurations that have a rapid relaxation pathway while simultaneously forbidding fusion back to 1TT. We thus assign the near-infrared optical absorption to 1TT in this system.
These results show the long-persistent spin correlations present in this and similar singlet-fission materials at low temperature and demonstrate a unique and versatile way to detect them, even absent net population level spin polarization. While persistent spin correlation is generally useful for quantum information applications, it can be problematic in other applications like triplet state harvesting for photovoltaics, since geminate triplet-pair recombination facilitates deactivation. On the other hand, loss of spin correlation should be accelerated at higher temperatures, possibly mitigating this issue. Outside the context of singlet fission, these studies have laid foundations for detailed understanding of essentially any spin-active excited state through correlations between optical absorption and magnetic resonance.
Acknowledgments
This work was authored in part by the National Renewable Energy Laboratory, operated by Alliance for Sustainable Energy, LLC, for the U.S. Department of Energy (DOE) under Contract No. DE-AC36-08GO28308. Funding was provided by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Chemical Sciences, Biosciences, and Geosciences. The views expressed in the article do not necessarily represent the views of the DOE or the U.S. Government. The U.S. Government retains and the publisher, by accepting the article for publication, acknowledges that the U.S. Government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this work, or allow others to do so, for U.S. Government purposes.
Supporting Information Available
The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.jpclett.2c03665.
Detailed exposition of sample preparation, detailed discussion of all spectroscopic methods, instrument details, data analysis methods, RF coupling loop simulations, supplemental exploration of laser power and magnetic field dependence of the signals, and various supplemental discussions of points discussed more briefly in the main text (PDF)
The authors declare no competing financial interest.
Supplementary Material
References
- Luther J. M.; Johnson J. C. An exciting boost for solar cells. Nature 2019, 571, 38–39. 10.1038/d41586-019-02014-8. [DOI] [PubMed] [Google Scholar]
- Hanna M. C.; Nozik A. J. Solar conversion efficiency of photovoltaic and photoelectrolysis cells with carrier multiplication absorbers. J. Appl. Phys. 2006, 100, 074510. 10.1063/1.2356795. [DOI] [Google Scholar]
- Einzinger M.; Wu T.; Kompalla J. F.; Smith H. L.; Perkinson C. F.; Nienhaus L.; Wieghold S.; Congreve D. N.; Kahn A.; Bawendi M. G.; Baldo M. A. Sensitization of silicon by singlet exciton fission in tetracene. Nature 2019, 571, 90–94. 10.1038/s41586-019-1339-4. [DOI] [PubMed] [Google Scholar]
- Smyser K. E.; Eaves J. D. Singlet fission for quantum information and quantum computing: the parallel JDE model. Sci. Rep. 2020, 10, 18480. 10.1038/s41598-020-75459-x. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Lewis S. G.; Smyser K. E.; Eaves J. D. Clock transitions guard against spin decoherence in singlet fission. J. Chem. Phys. 2021, 155, 194109. 10.1063/5.0069344. [DOI] [PubMed] [Google Scholar]
- Jacobberger R. M.; Qiu Y.; Williams M. L.; Krzyaniak M. D.; Wasielewski M. R. Using Molecular Design to Enhance the Coherence Time of Quintet Multiexcitons Generated by Singlet Fission in Single Crystals. J. Am. Chem. Soc. 2022, 144, 2276. 10.1021/jacs.1c12414. [DOI] [PubMed] [Google Scholar]
- Rugg B. K.; Smyser K. E.; Fluegel B.; Chang C. H.; Thorley K. J.; Parkin S.; Anthony J. E.; Eaves J. D.; Johnson J. C. Triplet-pair spin signatures from macroscopically aligned heteroacenes in an oriented single crystal. Proc. Natl. Acad. Sci. U. S. A. 2022, 119, e2201879119. 10.1073/pnas.2201879119. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Dill R. D.; Smyser K. E.; Damrauer N. H.; Eaves J. D.. Entangled, Spin-polarized Excitons from Singlet Fission in a Rigid Dimer. arXiv, 2022; arXiv:2202.09678 [physics.chem-ph]. [DOI] [PMC free article] [PubMed]
- Khan S.; Mazumdar S. Theory of Transient Excited State Absorptions in Pentacene and Derivatives: Triplet-Triplet Biexciton versus Free Triplets. J. Phys. Chem. Lett. 2017, 8, 5943–5948. 10.1021/acs.jpclett.7b02748. [DOI] [PubMed] [Google Scholar]
- Pace N. A.; Rugg B. K.; Chang C. H.; Reid O. G.; Thorley K. J.; Parkin S.; Anthony J. E.; Johnson J. C. Conversion between triplet pair states is controlled by molecular coupling in pentadithiophene thin films. Chem. Sci. 2020, 11, 7226–7238. 10.1039/D0SC02497J. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Goetz K. P.; Li Z.; Ward J. W.; Bougher C.; Rivnay J.; Smith J.; Conrad B. R.; Parkin S. R.; Anthopoulos T. D.; Salleo A.; Anthony J. E.; Jurchescu O. D. Effect of Acene Length on Electronic Properties in 5-, 6-, and 7-Ringed Heteroacenes. Adv. Mater. 2011, 23, 3698–3703. 10.1002/adma.201101619. [DOI] [PubMed] [Google Scholar]
- Shinar J. Optically detected magnetic resonance studies of luminescence-quenching processes in π-conjugated materials and organic light-emitting devices. Laser Photon. Rev. 2012, 6, 767–786. 10.1002/lpor.201100026. [DOI] [Google Scholar]
- Yang C. G.; Ehrenfreund E.; Wohlgenannt M.; Vardeny Z. V. Comment on “Frequency response and origin of the spin-1/2 photoluminescence-detected magnetic resonance in a π-conjugated polymer. Phys. Rev. B 2007, 75, 246201. 10.1103/PhysRevB.75.246201. [DOI] [Google Scholar]
- Wohlgenannt M.; Jiang X. M.; Vardeny Z. V.; Janssen R. A. Conjugation-Length Dependence of Spin-Dependent Exciton Formation Rates in π-Conjugated Oligomers and Polymers. Phys. Rev. Lett. 2002, 88, 197401. 10.1103/PhysRevLett.88.197401. [DOI] [PubMed] [Google Scholar]
- Wohlgenannt M.; Yang C.; Vardeny Z. V. Spin-dependent delayed luminescence from nongeminate pairs of polarons in -conjugated polymers. Phys. Rev. B 2002, 66, 241201. 10.1103/PhysRevB.66.241201. [DOI] [Google Scholar]
- Wohlgenannt M.; Tandon K.; Mazumdar S.; Ramasesha S.; Vardeny Z. V. Formation cross-sections of singlet and triplet excitons in π-conjugated polymers. Nature 2001, 409, 494–497. 10.1038/35054025. [DOI] [PubMed] [Google Scholar]
- List E. J.; Kim C. H.; Naik A. K.; Scherf U.; Leising G.; Graupner W.; Shinar J. Interaction of singlet excitons with polarons in wide band-gap organic semiconductors: A quantitative study. Phys. Rev. B - Condens. Matter Mater. Phys. 2001, 64, 155204. 10.1103/PhysRevB.64.155204. [DOI] [Google Scholar]
- Wohlgenannt M.; Graupner W.; Leising G.; Vardeny Z. V. Photogeneration and recombination processes of neutral and charged excitations in films of a ladder-type poly(para-phenylene). Phys. Rev. B 1999, 60, 5321–5330. 10.1103/PhysRevB.60.5321. [DOI] [Google Scholar]
- Lane P.; Wei X.; Vardeny Z. Spin and spectral signatures of polaron pairs in π-conjugated polymers. Phys. Rev. B - Condens. Matter Mater. Phys. 1997, 56, 4626–4637. 10.1103/PhysRevB.56.4626. [DOI] [Google Scholar]
- Schultz N.; Vardeny Z. V.; Taylor P. C. Optically detected magnetic resonance studies of undoped a-Si:H. Mater. Res. Soc. Symp. - Proc. 1996, 420, 593–598. 10.1557/PROC-420-593. [DOI] [Google Scholar]
- Lane P. A.; Wei X.; Vardeny Z. V.; Poplawski J.; Ehrenfreund E.; Ibrahim M.; Frank A. J. Spin signature of photoexcitations in sexithiophene. Synth. Met. 1996, 76, 57–60. 10.1016/0379-6779(95)03419-K. [DOI] [Google Scholar]
- Wei X.; Vardeny Z.; Sariciftci N.; Heeger A. Absorption-detected magnetic-resonance studies of photoexcitations in conjugated-polymer composites. Phys. Rev. B 1996, 53, 2187–2190. 10.1103/PhysRevB.53.2187. [DOI] [PubMed] [Google Scholar]
- Wei X.; Hess B. C.; Vardeny Z. V.; Wudl F. Studies of photoexcited states in polyacetylene and poly(paraphenylenevinylene) by absorption detected magnetic resonance: The case of neutral photoexcitations. Phys. Rev. Lett. 1992, 68, 666–669. 10.1103/PhysRevLett.68.666. [DOI] [PubMed] [Google Scholar]
- Hoff A. J., Ed. Advanced EPR: Applications in Biology and Biochemistry, 1st ed.; Elsevier Science Publishers B.V.: Amsterdam, 1989. [Google Scholar]
- Clarke R. H.; Harris G.; R. A. Mushlint N. L. TRIPLET STATE PROPERTIES OF POLYCYCLIC AROMATIC HYDROCARBON-DNA and PORPHYRIN-DNA COMPLEXES DETERMINED BY OPTICALLY DETECTED ZERO FIELD MAGNETIC RESONANCE. Photochem. Photobiol. 1983, 37, 9–15. 10.1111/j.1751-1097.1983.tb04427.x. [DOI] [PubMed] [Google Scholar]
- Clarke R. H., Ed. Triplet State ODMR Spectroscopy: Techniques and Applications to Biophysical Systems; John Wiley and Sons, Inc., 1982. [Google Scholar]
- Brenner H. C. Methods for optical detection of electron spin coherence in nonphosphorescent triplet states. J. Chem. Phys. 1977, 67, 4719–4725. 10.1063/1.434641. [DOI] [Google Scholar]
- Clarke R. H.; Hayes J. M. Microwave-induced triplet-triplet absorption in organic molecules. J. Chem. Phys. 1973, 59, 3113–3118. 10.1063/1.1680451. [DOI] [Google Scholar]
- Clarke R. H.; Hayes J. M. Triplet state dynamics in polycyclic aromatic molecules. Chem. Phys. Lett. 1974, 27, 556–561. 10.1016/0009-2614(74)80304-0. [DOI] [Google Scholar]
- Clarke R. H.; Connors R. E. An investigation of the triplet state dynamics of zinc chlorophyll b by microwave-induced changes in the intensity of fluorescence and singlet-singlet absorption. Chem. Phys. Lett. 1975, 33, 365–368. 10.1016/0009-2614(75)80177-1. [DOI] [Google Scholar]
- Tuan Trinh M.; Pinkard A.; Pun A. B.; Sanders S. N.; Kumarasamy E.; Sfeir M. Y.; Campos L. M.; Roy X.; Zhu X. Y. Distinct properties of the triplet pair state from singlet fission. Sci. Adv. 2017, 3, e1700241. 10.1126/sciadv.1700241. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Miyata K.; Conrad-Burton F. S.; Geyer F. L.; Zhu X. Y. Triplet Pair States in Singlet Fission. Chem. Rev. 2019, 119, 4261–4292. 10.1021/acs.chemrev.8b00572. [DOI] [PubMed] [Google Scholar]
- Yarmus L.; Rosenthal J.; Chopp M. EPR of triplet excitons in tetracene crystals: spin polarization and the role of singlet exciton fission. Chem. Phys. Lett. 1972, 16, 477–481. 10.1016/0009-2614(72)80404-4. [DOI] [Google Scholar]
- Benk H.; Sixl H. Theory of two coupled triplet states. Mol. Phys. 1981, 42, 779–801. 10.1080/00268978100100631. [DOI] [Google Scholar]
- Weil J. A.; Bolton J. R.; Wertz J. E.. Electron Paramagnetic Resonance: elementary theory and practical applications, 1st ed.; John Wiley and Sons, Inc, 1994. [Google Scholar]
- Merrifield R. E. Magnetic effects on triplet exciton interactions. Pure Appl. Chem. 1971, 27, 481–498. 10.1351/pac197127030481. [DOI] [Google Scholar]
- Groff R.; Merrifield R.; Avakian P. Singlet and triplet channels for triplet-exciton fusion in anthracene crystals. Chem. Phys. Lett. 1970, 5, 168–170. 10.1016/0009-2614(70)80033-1. [DOI] [Google Scholar]
- Chen M.; et al. Quintet-triplet mixing determines the fate of the multiexciton state produced by singlet fission in a terrylenediimide dimer at room temperature. Proc. Natl. Acad. Sci. U. S. A. 2019, 116, 8178–8183. 10.1073/pnas.1820932116. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Yago T.; Tashiro M.; Hasegawa K.; Gohdo M.; Tsuchiya S.; Ikoma T.; Wakasa M. Triplet-Triplet Annihilation via the Triplet Channel in Crystalline 9,10-Diphenylanthracene. J. Phys. Chem. Lett. 2022, 13, 8768–8774. 10.1021/acs.jpclett.2c01839. [DOI] [PubMed] [Google Scholar]
- Johnson R. C.; Merrifield R. E. Effects of Magnetic Fields on the Mutual Annihilation of Triplet Excitons in Anthracene Crystals. Phys. Rev. B 1970, 1, 896–902. 10.1103/PhysRevB.1.896. [DOI] [Google Scholar]
- Carrington A., McLachlan A. D.. Introduction to Magnetic Resonance With Applications to Chemistry and Chemical Physics; Harper and Row: New York, 1967; pp 118–119. [Google Scholar]
- Schwoerer M.; Huber R. A.; Hartl W. Quintet states of organic molecules: magnetic energies, spin-states and ESR-selection rules. Chem. Phys. 1981, 55, 97–102. 10.1016/0301-0104(81)85088-4. [DOI] [Google Scholar]
- Lubert-Perquel D.; Salvadori E.; Dyson M.; Stavrinou P. N.; Montis R.; Nagashima H.; Kobori Y.; Heutz S.; Kay C. W. Identifying triplet pathways in dilute pentacene films. Nat. Commun. 2018, 9, 4222. 10.1038/s41467-018-06330-x. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Tayebjee M. J. Y.; Sanders S. N.; Kumarasamy E.; Campos L. M.; Sfeir M. Y.; McCamey D. R. Quintet multiexciton dynamics in singlet fission. Nat. Phys. 2017, 13, 182–188. 10.1038/nphys3909. [DOI] [Google Scholar]
- Yunusova K. M.; Bayliss S. L.; Chanelière T.; Derkach V.; Anthony J. E.; Chepelianskii A. D.; Weiss L. R. Spin Fine Structure Reveals Biexciton Geometry in an Organic Semiconductor. Phys. Rev. Lett. 2020, 125, 097402. 10.1103/PhysRevLett.125.097402. [DOI] [PubMed] [Google Scholar]
- Bayliss S. L.; Chepelianskii A. D.; Sepe A.; Walker B. J.; Ehrler B.; Bruzek M. J.; Anthony J. E.; Greenham N. C. Geminate and nongeminate recombination of triplet excitons formed by singlet fission. Phys. Rev. Lett. 2014, 112, 238701. 10.1103/PhysRevLett.112.238701. [DOI] [PubMed] [Google Scholar]
- Budden P. J.; Weiss L. R.; Müller M.; Panjwani N. A.; Dowland S.; Allardice J. R.; Ganschow M.; Freudenberg J.; Behrends J.; Bunz U. H. F.; Friend R. H. Singlet exciton fission in a modified acene with improved stability and high photoluminescence yield. Nat. Commun. 2021, 12, 1527. 10.1038/s41467-021-21719-x. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Joshi G.; Dill R. D.; Thorley K. J.; Anthony J. E.; Reid O. G.; Johnson J. C. Optical readout of singlet fission biexcitons in a heteroacene with photoluminescence detected magnetic resonance. J. Chem. Phys. 2022, 157, 164702. 10.1063/5.0103662. [DOI] [PubMed] [Google Scholar]
- Smith M. B.; Michl J. Singlet Fission. Chem. Rev. 2010, 110, 6891–6936. 10.1021/cr1002613. [DOI] [PubMed] [Google Scholar]
- Williamson R. L.; Kwiram A. L. On the nature of the relationship between inhomogeneously broadened phosphorescence and ODMR spectral lines. J. Chem. Phys. 1988, 88, 6092–6106. 10.1063/1.454502. [DOI] [Google Scholar]
- Loboda O.; Minaev B.; Vahtras O.; Ruud K.; Agren H. Ab initio study of nonhomogeneous broadening of the zero-field splitting of triplet guest molecules in diluted glasses. J. Chem. Phys. 2003, 119, 3120–3129. 10.1063/1.1589732. [DOI] [Google Scholar]
- Gradl G.; Friedrich J. Investigation of inhomogeneous line broadening of ODMR transitions in doped organic glasses. Chem. Phys. Lett. 1985, 114, 543–546. 10.1016/0009-2614(85)85138-1. [DOI] [Google Scholar]
- Clark S.; Tinti D. Relationship of the inhomogeneous broadenings in the triplet state optical and ODMR spectra of NaNO2/Ag+. Chem. Phys. 1980, 51, 17–30. 10.1016/0301-0104(80)80076-0. [DOI] [Google Scholar]
- Kwiram A. L.; Alexander Ross J.; Deranleau D. A. Wavelength dependence of the zero-field splittings in the triplet state of tryptophan. Chem. Phys. Lett. 1978, 54, 506–509. 10.1016/0009-2614(78)85272-5. [DOI] [Google Scholar]
- Lemaistre J.; Zewail A. On the inhomogeneous and homogeneous broadenings of optical and ODMR transitions of triplet states in solids. Chem. Phys. Lett. 1979, 68, 296–301. 10.1016/0009-2614(79)87204-8. [DOI] [Google Scholar]
- Van Egmond J.; Kohler B. E.; Chan I. Solvent shift broadening in the PMDR spectrum of quinoxaline. Chem. Phys. Lett. 1975, 34, 423–426. 10.1016/0009-2614(75)85529-1. [DOI] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.