Open Access Article
Laurence H.
Stanley
,
Cate S.
Anstöter
and
Jan R. R.
Verlet
*
Department of Chemistry, Durham University, Durham DH1 3LE, UK. E-mail: j.r.r.verlet@durham.ac.uk
First published on 2nd February 2017
Resonances in polyaromatic hydrocarbon (PAH) anions are key intermediates in a number of processes such as electron transfer in organic electronics and electron attachment in the interstellar medium. Here we present a frequency- and angle-resolved photoelectron imaging study of the 9-anthracenyl anion generated through collision induced dissociation (CID) of its electrosprayed deprotonated anthracene carboxylic acid anion. We show that a number of π* resonances are active in the first 2.5 eV above the threshold. The photoelectron spectra and angular distributions revealed that nuclear dynamics compete with autodetachment for one of the resonances, while higher-lying resonances were dominated by prompt autodetachment. Based on electronic structure calculations, these observations were accounted for on the basis of the expected autodetachment rates of the resonances. Virtually no ground state recovery was observed, suggesting that the smallest deprotonated PAH that leads to ground state recovery is the tetracenyl anion, for which clear thermionic emission has been observed. The use of CID and photodissociation of organic carboxylic acid anions is discussed as a route to studying the dynamics of resonances in larger PAH anions.
All of the molecular anions that have been confirmed to exist in the interstellar medium are closed-shell13,15,26–31 and therefore, PAH anions that are believed to exist in the interstellar medium are also likely to be closed-shell. Hence, deprotonated PAH anions are likely candidates. Over the past few years, we have developed anion photoelectron spectroscopy as a probe for resonances in a range of radical20,20,21,32–34 and closed-shell anions,35–37 including the tetracenyl anion, C18H11−.19 Following excitation to a resonance, C18H11− showed a preference for internal conversion back to the ground state of the anion rather than autodetachment from the resonance. Hence, from an anion formation perspective, when neutral C18H11 is approached by a low-energy electron with a kinetic energy that matches the anionic resonance, then the electronic ground state of the anion can be formed despite the unbound nature of the resonance. As these dynamics are enabled by the presence of a large number of π* resonances, it is not unreasonable to expect that the same processes may also occur in larger polyacenes. However, for smaller polyacenes fewer low-lying resonances exist, which leads to the question – how small can a polyacene be to efficiently recover the ground electronic state from an anion resonance? Here we present a study of the frequency- and angle-resolved photoelectron imaging of the anthracenyl anion, C14H9−, and show that, although resonance dynamics can be clearly identified, ground state recovery is inefficient as evidenced by a low yield of thermionic emission.
C18H11− was previously generated using electrospray ionisation of C18H12 dissolved in toluene. However, this produced the deprotonated anion in low yield and the overall ion signal suffered from instability. Furthermore, electrospray ionisation offers no selectivity over the isomeric form produced and generally forms the most stable species. In applying the same methodology to produce C14H9−, we found that the yield was too low and so here we employ an alternative method for producing the anthracenyl anion. Within the mass-spectrometry community, two main methods have been developed to generate carbanions.38,39 The first is based on the reaction of F− with a trimethyl-silanated molecule.40,41 This was recently used by the Neumark group to study the neutral ground and first excited states of the three isomers n-C14H9 (with n = 1, 2, and 9) by slow-electron velocity map imaging (SEVI) of C14H9− generated through molecular beam co-expansion of NF3 and n-(trimethylsilyl)-anthracene in He carrier gas in the presence of excess electrons.42 A second commonly employed method in mass spectrometry is decarboxylation of a deprotonated carboxylic acid anion through collision induced dissociation (CID) in a buffer cell.43 Because CO2 is very stable and has a negative electron affinity, decarboxylation is often the lowest energy path and leaves the charge at the location of the CO2 loss. Here, we employ this method, starting with the three isomeric forms of anthracene carboxylic acid (n-C14H9–CO2H, where n = 1, 2, or 9 as shown in Fig. 1), and employ frequency- and angle-resolved photoelectron imaging to probe the resonance dynamics of the 9-C14H9− fragment ion produced through CID.
Under normal operating conditions, anions experience only a small DC voltage drop from the last electrode of the first ion guide to the pinhole, and the same on the other side. By increasing the magnitude of this voltage drop into the second ion guide, significant CID can be induced as evidenced by fragments appearing in the time-of-flight mass spectrum. The most prominent fragment was an ion with a m/z 44 less than the parent anion n-C14H9–CO2−, corresponding to CO2 loss.
Additional ab initio calculations were carried out to predict the photoelectron angular distributions using the coupled-cluster equations of motion (EOM) formalism53 and employing the QChem 4.4 package.54 Specifically, EOM-IP-CCSD calculations (using the same basis set as before) were used to determine the Dyson orbital with the anion ground state as the initial reference wavefunction, ΨN, and the neutral ground state as the final wavefunction, ΨN−1.55,56 The photoelectron angular distribution for this direct detachment channel was modelled using the ezDyson program (version 3.2) developed by Krylov and coworkers.57,58
Although in the present experiment only a single isomer could be formed exclusively, the use of CID in forming decarboxylated fragment anions is appealing because it relies on electrosprayed anions for which there is essentially no size or volatility limit of the precursor anion. For larger PAHs, the vapour pressure rapidly reduces. For example, perylene has a vapour pressure of ∼4 × 10−2 Pa at 400 K (ref. 59) and needs to be heated to very high temperatures for molecular beam studies. In contrast, electrospray ionisation of the perylene carboxylic acid is readily achieved.
In addition to the two direct detachment features, there is evidence of delayed autodetachment at 2.8 < hν < 3.5 eV. Instead of the expected increase of eKE with hν, the photoelectron spectra show signals at a lower eKE, indicating that some of the available eKE has been converted to kinetic energy of the nuclei.60 Hence, in the 2.8 < hν < 3.5 eV energy range, a resonance appears to be excited and its nuclear wavepacket and/or internal conversion dynamics are in competition with autodetachment from the resonance.
For hν > 3.8 eV, there also appears to be a dramatic change in the branching ratio of formation of the neutral species in the ground or first excited state following electron detachment.
Specifically, the neutral excited state appears to be produced more favourably compared to the ground state. As discussed below, this arises from the presence of a resonance for which autodetachment to the first excited state may be more favourable.
Additional insight can be gained by considering the photoelectron angular distributions at all hν and eKE values. The angular distribution can be quantified using the anisotropy parameter, β2, defined from a fit to the photoelectron angular distribution at a given eKE to61,62
I(θ, eKE) ∝ 1 + ½[β2P2(cos θ)], |
θ) = 3
cos2
θ − 1 is the second order Legendre polynomial. The two limiting values of β2 are −1 and +2, which correspond to photoelectron emission predominantly perpendicular and parallel to the polarisation axis of the laser.
In Fig. 4, the frequency-resolved β2 parameters are plotted as a false colour plot (the raw photoelectron images are in the ESI†). The photoelectron spectra show strong anisotropy in certain spectral regions. The direct detachment feature that forms the neutral ground state exhibits an overall positive β2. At low hν, the direct detachment has β2 = +1.3 ± 0.1. This is consistent with the observation of the Neumark group. The photoelectrons arising from delayed autodetachment (lower eKE) in the 2.8 < hν < 3.5 eV range are predominantly isotropic with β2 ∼ 0. Similarly, detachment to form the first excited state of the neutral species appears to be isotropic.
![]() | ||
| Fig. 4 False-colour plot of the frequency-resolved β2 spectra of 9-C14H9−. The signals below an intensity of 0.2 in Fig. 3 have been blacked out because the signal levels were too low to determine a reliable β2 parameter. | ||
Upon closer inspection, the anisotropy of the direct detachment feature that leaves the neutral radical in its ground state appears to change quite abruptly across the hν range studied. In Fig. 5, the β2 parameter averaged over this direct detachment peak is shown as a function of hν (and of eKE of the photoelectron). If direct detachment was the only available channel, then one would expect to see slow variations with increasing hν. However, over the regions 2.8 < hν < 3.5 eV and hν > 3.8 eV, there are strong deviations from this expected behaviour, which supports our earlier suggestion that resonances are excited in these regions.
Fig. 6 shows the relevant calculated molecular orbitals (MOs) of 9-C14H9−. The highest occupied MO (HOMO) corresponds to the n-orbital localised primarily at the C9 position (see Fig. 1), while the lowest unoccupied MO (LUMO) is a delocalised π* orbital. Our calculations show that there are several excited states and resonances of 9-C14H9− that can be accessed in the hν range used in the present experiments. Fig. 6 also shows an overview of the most relevant excited states (those with significant oscillator strengths) and their dominant orbital contributions are given in the ESI.† Many of the lowest lying excited states involve 1nπ* states and consequently have very low oscillator strengths; the lowest lying anion 1nπ* resonance is included in the energy level diagram.
Based on our calculations, the most likely resonances that are excited around 2.8 < hν < 3.5 eV and hν > 3.8 eV are the three lowest 1ππ* transitions. The lowest (1)1ππ* transition is calculated to be at 3.14 eV. This calculated energy is consistent with the 2.8 < hν < 3.5 eV range over which the deviation of the β2 parameter was noted in Fig. 5 and with the resonance signatures in the frequency-resolved photoelectron spectra in Fig. 3. For hν > 3.8 eV, deviations from the expected β2 behaviour were also noted in Fig. 5, which is consistent with the next two 1ππ* resonances: (2)1ππ* was calculated at 3.77 eV and (3)1ππ* at 4.12 eV photon energy. Interestingly, only the (1)1ππ* resonance shows evidence of nuclear dynamics in competition with autodetachment (Fig. 3).
Fig. 6 additionally shows the orbital configurations associated with the neutral ground state (X2A1) and its first excited state (A2B1). The ground state is formed by the loss of the n-electron in the HOMO, while the first excited state is formed by the loss of a π-electron from the HOMO−1. All three 1ππ* states predominantly involve the excitation of the HOMO−1 π-electron into a π* MO. Hence, these resonances are of Feshbach character with respect to the electron loss channel that forms the neutral ground state, but are of shape character with respect to the electron loss channel that leaves the neutral species in its first excited state. Because a Feshbach resonance involves a 2-electron transition, the autodetachment lifetimes are typically longer compared to shape resonances for which only a single electron transition is required.
The adiabatic energy of the neutral excited state lies very close to the onset of the (1)1ππ* resonance, while the vertical energy of the neutral species (at the anion geometry) will be higher and was calculated to be at hν = 3.29 eV. Because excitation occurs in the vertical region and the electron loss cross section is small for low eKE electrons, the (1)1ππ* resonance will predominantly decay by autodetachment to the ground state of the neutral species. But as this is a 2-electron transition, autodetachment may be expected to be relatively slow. Therefore, one might anticipate that nuclear dynamics could compete with autodetachment, which is consistent with the observations in Fig. 3. The (2)1ππ* and (3)1ππ* resonances are some way above the threshold region for the autodetachment channel that leaves the neutral species in its excited state. Therefore, loss of the electron can proceed through a one electron process (excited shape resonance) and the consequential increased autodetachment rate appears to outcompete the nuclear dynamics of the (2)1ππ*/(3)1ππ* resonances so that the photoelectron peak essentially takes the spectral form of a direct detachment process as seen in Fig. 3. We also previously noted the increase in yield of the neutral excited state when hν > 3.8 eV (see Fig. 3), and this is fully consistent with the fact that the (2)1ππ* and (3)1ππ* resonances are only of shape character with respect to the neutral excited state, but Feshbach with respect to the ground state. Hence autodetachment into the former channel is faster and therefore has a higher yield. Note that we cannot determine the branching ratios accurately because of the additional direct detachment channel that is always open for hν > ADE.
One aspect of the direct photodetachment from 9-C14H9− that is particularly clear is its anisotropy. This has previously been discussed by the Neumark group in their interpretation of their SEVI experiment.42 The photoelectron angular distribution for directed detachment in the 0.0 < eKE < 0.3 eV range was measured to be β2 = +1.3.42 This is in agreement with the β2 parameters determined here in the same energy range (Fig. 5). For higher eKE values, we observe a gradual decrease in β2 as well as rapid changes. In order to confirm that the rapid changes correspond to the deviation of a smoothly varying β2 parameter due to direct detachment, we have performed similar calculations to the Neumark group but over a wider eKE range. The results from these calculations are included in Fig. 5 (solid line). The data are not scaled in any way and yield β2 = +1.2 for low eKE electrons, in excellent agreement with the experiment.‡ As eKE increases, the β2 parameter smoothly decreases as anticipated. This overall trend is reproduced in the experimental data. However, over the ranges where resonance dynamics were noted (2.8 < hν < 3.5 eV and hν > 3.8 eV), the measured photoelectron angular distributions are significantly more isotropic than that predicted for direct detachment, confirming that the frequency-resolved β2 parameter has identified the resonances.
The quantitative agreement between the experiment and theory here is very encouraging. Our group has previously shown similar rapid changes in β2 for para-benzoquinone radical anions,33 which could also be correlated with the excitation and electron emission from resonances. However, in chemical derivatives of para-benzoquinone, the overall anisotropy tended to zero so that changes were difficult to discern.20,21 For 9-C14H9−, the clear anisotropy arises from its high (C2V) symmetry, enabling full use of the angular dimension. Further theoretical developments to accurately predict photoelectron distributions for photo-detachment and specifically autodetachment may assist in identifying the nature of the resonances in favourable cases such as 9-C14H9−.
Internal conversion to repopulate the ground electronic state of the anion is barely observed: this would be evidenced by the presence of very low energies in the photoelectron spectra that are statistically emitted (thermionic emission) from the hot anion. There is the suggestion of thermionic emission in the photoelectron images (ESI†), but the yield is very low. Hence, unlike the case of the tetracenyl anion, C18H11−, for which intense thermionic emission was clearly seen, resonances in 9-C14H9− are not efficient in recovering the ground state. While 1-C18H11− has a higher density of resonances than 9-C14H9−, a key additional difference between the two systems is that 1-C18H11− has several bound singlet excited electronic states. This is partly due to its higher ADE and partly due to the greater π-electron delocalisation in 1-C18H11−. We have previously shown that in the menadione radical anion, efficient anion ground state recovery was facilitated by a bound excited state, which acted as an intermediate in an internal conversion cascade.20 Hence, we suggest that 9-C14H9− does not efficiently reform the anion ground state in part because of the lack of anion bound states. We can therefore also suggest that 1-C18H11− is the smallest astrophysically relevant polyacenyl anion for which efficient ground state recovery can occur. Note that 1-C14H9−, 2-C14H9−, 2-C18H11− and 3-C18H11− may prove to be more efficient in this regard, but only the lowest energy isomers (9-C14H9− and 1-C18H11−) are expected to be prevalent in the interstellar medium; these can be formed by H-atom tunnelling from the other higher-lying isomers, which proceeds on timescales faster than the astronomically relevant ones.63
The observation of resonances in 9-C14H9− and their dynamics also has implications for the SEVI work reported by the Neumark group. Specifically, the SEVI experiment assumes that direct detachment into the continuum determines the vibrational structure of the neutral species. However, as the direct detachment cross section is low near the threshold, even optically weak transitions may become important, and we note that our calculations suggest that the lowest 1nπ* resonance is close to the neutral state energy. If a resonance was accessed at the SEVI detachment energy, then this would lead to changes in the Franck–Condon factors of the neutral species, as was shown by Schiedt and Weinkauf in para-benzoquinone radical anions.64 This should be apparent from changes in the peak intensities as the photon energy was changed and perhaps in the β2 parameters associated with specific photoelectron peaks. In the data presented for the neutral ground state of 9-C14H9−, there is no evidence of the participation of resonance excitation, however, the same is certainly not true for the first excited state of the neutral species. Fig. 3 clearly shows that the (1)1ππ* resonance produces photoelectrons essentially over the entire eKE < hν − ADE range. Indeed, it is noted in their work that the β2 parameters are likely distorted because of high-eKE electrons that are arising from direct detachment into the neutral ground state.42 From our data, these “distorting” electrons are actually also at low-eKE because of the resonance dynamics of the (1)1ππ* state.
Closed shell PAH anions have been implicated to exist in the interstellar medium, where, in the absence of a sufficiently large dipole moment, electron attachment through resonances may be a key formation mechanism. Our results show that the predominant decay mechanism for resonances in 9-C14H9− is autodetachment, which is in contrast to the next polyacene increment, the tetracenyl anion, for which ground state recovery has been reported previously.19 Therefore, the latter is the smallest polyacenyl anion for which this process can occur and therefore is also the smallest likely polyacenyl anion to be found in the interstellar medium. With the development of this new methodology, we will now be able to explore a wide range of large PAHs to determine the role of resonances in their anion formation.
Footnotes |
| † Electronic supplementary information (ESI) available: Raw photoelectron spectra and images; fragment photoelectron spectra from 9- and 1-C14H9–CO2− precursors; and excited state molecular orbital contributions. See DOI: 10.1039/c6sc05405f |
| ‡ We believe that this specific β2 parameter calculated by Neumark and coworkers may be erroneous because of the older version of QChem and/or ezDyson used in their calculations. In fact, visual inspection of the Dyson orbital shows that, while a large component of the orbital is of n-character which would lead to β2 = +2, there is also significant π-character which should reduce this substantially, which is consistent with the predicted and observed β2 parameter presented here. |
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