Andreas M.
Wenge‡
,
Tolga N. V.
Karsili
,
Javier Diaz
Rodríguez§
,
Michael I.
Cotterell
,
Barbara
Marchetti
,
Richard N.
Dixon
and
Michael N. R.
Ashfold
*
School of Chemistry, University of Bristol, Cantock's Close, Bristol BS8 1TS, UK. E-mail: mike.ashfold@bris.ac.uk
First published on 22nd May 2015
We report a combination of experimental (velocity map imaging measurements of the methyl (Me) radical products) and ab initio electronic structure studies that explore the influence of substituents (Y) on the dynamics of S–Me bond fission following excitation to the first excited S1 states of thioanisole and three 4-substituted thioanisoles (4-YPhSMe, with Y = H, Me, MeO and CN). In all bar the case that Y = CN, the resulting 4-YPhS products are found to be formed predominantly in their excited (Ã) electronic state. In all cases, the relative yield of state products increases upon tuning to shorter excitation wavelengths and, in the specific case of bare thioanisole (as found previously by Lim and Kim, Nat. Chem., 2010, 2, 627), jumps when exciting on the parent resonance assigned to the S1(v7a = 1) level. Two conical intersections (CIs) in the RS–Me stretch coordinate are crucial to rationalising all of the observed dynamics. The first, (CI-1, between the diabatic 1ππ* and dissociative 1πσ* potential energy surfaces (PESs) at RS–Me ∼ 2 Å) lies above the S1(v = 0) level in energy, and the calculated minimum energy path through this barrier involves substantial deviations from planarity in all bar 4-CNPhSMe. Beyond this barrier, the potential is quite steeply repulsive, and Me + 4-YPhS(Ã) products are the inevitable products if the molecular framework is unable to re-planarise within the time it takes for the dissociating molecules to pass through the region of CI-2 (between the diabatic 1πσ* and ground (S0) states) where the product electronic branching is determined. The gradual increase in the yield of 4-YPhS(
) radicals upon tuning to shorter photolysis wavelengths, the much increased branching into PhS(
) products when exciting the PhSMe (S1, v7a = 1) level and the dominance of 4-CNPhS(
) products in the specific case that Y = CN can all be understood in terms of a (relative) lowering of the effective barrier associated with CI-1, thereby allowing access to the dissociative region of the PES at closer-to-planar geometries.
An obvious question is whether these potentially important dynamical behaviours extend to molecular systems where the leaving species is not an H atom. Kim and coworkers have reported use of ion imaging methods to study the photodissociation of thioanisole14 (a derivative of thiophenol, in which the thiyl (also termed sulfenyl) hydrogen is replaced by a methyl group, henceforth denoted as PhSMe) and thioanisole-d315 following excitation to the 11ππ* state.16 The PhS fragments from S–Me bond fission are formed predominantly in their electronically excited Ã2B2(2A′) state but, in both cases, these workers also identified one or more parent vibronic resonances that yield strikingly different electronic branching between the à and ground 2B1(2A′′) states of the PhS product. These states of the radical are distinguished by having the odd electron in, respectively, the in-plane and out-of-plane singly occupied molecular orbitals which are largely localised on the sulphur atom. Thioanisole-h3 shows just one such resonance, 722 cm−1 above the S1 ← S0 origin, where the
/Ã product branching ratio increases at least 3-fold,14 while the subsequent study of thioanisole-d3 photolysis found four resonances (at a similar excitation energy) that display similarly enhanced
/Ã product branching ratios.15 Time-resolved imaging studies of the methyl radical photoproducts from photolysis of thioanisole-h3, allied with electronic structure calculations, sought to provide more insight into the possible role of S–Me torsional motion (τS–Me) in facilitating non-radiative transfer of population from the 11ππ* state to the dissociative 11πσ* state of PhSMe.17 One and two-dimensional (1- and 2-D) cuts through the respective singlet PESs in PhSMe (along RS–Me (the S–Me stretch coordinate) and/or ϕ (the dihedral angle between the S–Me bond and the ring plane)) have been reported previously, and will be revisited later in this study, but two regions of conical intersection (CI) are of particular note. The first, CI-1, between the 11ππ* and 11πσ* PESs is a true CI at both ϕ = 0° and at 90° and, since the two potentials are near-degenerate at intermediate ϕ, this is more correctly viewed as an effective ‘seam’ of intersection in this 2-D configuration space.17 The second, CI-2, between the 11ππ* and ground (1ππ) PESs at longer RS–Me is localised at ϕ = 0°; photo-excited molecules that pass through CI-2 would yield
state PhS radical products, while those that approach this region of CI with non-planar geometries (ϕ ≠ 0°) would tend to follow the adiabatic path to à state products (plus a Me radical).
Here we report a combination of experimental studies (velocity map ion imaging (VMI)18,19 measurements of the Me radical fragments) and further high level, higher-dimensionality ab initio calculations that explore the influence of substituents (Y) on the dynamics of photoinduced S–Me bond fission in 4-substituted thioanisoles (4-YPhSMe). In addition to thioanisole itself, the systems chosen for detailed study involve Y = Me (which would be expected to be, at most, a mild perturber of the ring π system), MeO (a strong π electron donor) and CN (a strong π electron acceptor). Photoexcitation to the origin of the S1 state results in a marked population inversion between the à and states of the 4-YPhS radical products in all cases bar Y = CN – for which
state products are dominant. In all cases, the relative yield of
state products increases upon tuning to shorter excitation wavelength (i.e. upon increasing the vibrational energy within the predissociating S1 molecules). Such variation in the electronic branching in the products of a photochemical reaction (S–Me bond fission) with change of substituent, and/or by change of excitation wavelength, is considered in light of the detailed topographies of the relevant PESs and the way these influence the nuclear motions that lead to the eventual dissociation.
![]() | (1) |
![]() | (2) |
![]() | (3) |
![]() | (4) |
The experimental image is the projection of P(v,θ), which can be described mathematically by the inverse Abel transform. This transform is numerically stable, but the inversion is a known ill-posed problem. We avoid this difficulty by fitting a projection of eqn (3) directly to the measured data as outlined in ref. 23. These fits have been observed previously23–25 to be in very good agreement with the results of a direct Abel inversion by the matrix method26 given sufficient signal to noise ratio.
The velocity distributions were subsequently converted into total kinetic energy release (TKER) distributions using the conservation of momentum eqn (5)
![]() | (5) |
Molpro version 2010.127 was used to optimise the ground state 4-YPhSMe molecules, in Cs symmetry, using the Møller–Plesset level of theory at the second order (MP2), together with Dunning's augmented correlation consistent basis set of triple ζ quality: aug-cc-pVTZ (AVTZ), assigned to all atoms.28,29 For bare PhSMe only, 1-D potential energy cuts (PECs) along RS–Me for the S0 and first four singlet (and triplet) excited electronic states were calculated using complete active space self-consistent field (CASSCF) and with second order perturbation theory (CASPT2) and the above AVTZ basis set, with the phenyl ring frozen at its optimised ground state geometry. The resulting PECs were subsequently quasi-diabatised for ease of display and subsequent discussion.
1-D PECs along ϕ (the torsional coordinate) for the S0, S1 and S2 states of each (4-Y)PhSMe molecule were calculated also, using the equation-of-motion coupled cluster singles and doubles (EOM-CCSD) method and a smaller VTZ basis set. Again, the rest of the nuclear frame was maintained at the respective ground state equilibrium geometry and the resulting PECs were quasi-diabatised to aid discussion. These calculations also yielded transition dipole moments and oscillator strengths for the respective S1–S0 and S2–S0 excitations in each 4-YPhSMe molecule.
Further insights into the multidimensional nuclear distortions associated with the minimum energy path (MEP) to S–Me bond fission on the adiabatic S1 PES of both PhSMe and 4-CNPhSMe were obtained by calculating the fully ‘relaxed’ S1 PES using RS–Me as the driving coordinate using the CAM-B3LYP functional of time dependent density functional theory (TD-DFT) and the 3-21G basis set in Gaussian 09. The energies at various points along this MEP were then recalculated using Molpro 2010.1 at the CASPT2 level. Further details regarding all of these calculations are presented along with the relevant results in the later sections of the paper.
![]() | ||
Fig. 1 1 + 1 REMPI spectra of jet-cooled samples of (a) 4-MePhSMe and (b) 4-CNPhSMe, with the deduced origin band (![]() |
Y | T 00(S1–S0)/cm−1 |
![]() |
D 0/cm−1 |
![]() |
||
---|---|---|---|---|---|---|
(v = 0) | ∼(![]() |
∼(![]() |
||||
a Measurement made on resonance at (![]() |
||||||
H | 34![]() |
0.08 | 0.52 | 0.15a | 24![]() |
2800 ± 200 |
0.05b | 0.43b | 0.15b | 3000 ± 7 (ref. 30) | |||
Me | 33![]() |
0 | 0.04 | 0.09 | 24![]() |
3200 ± 200 |
3320 ± 50 (ref. 9) | ||||||
MeO | 32![]() |
0 | 0 | 0.09 | 25![]() |
3400 ± 200 |
32![]() |
4000 ± 50 (ref. 9) | |||||
CN | 34![]() |
1.33 | 2.23 | 4.56 | 25![]() |
1500 ± 200 |
Velocity map images were recorded for PhSMe and the three 4-YPhSMe molecules at many different excitation wavelengths. Fig. 2 shows raw (a) and fitted (b) images of the Me(v = 0) fragments from photolysis of PhSMe, 4-MePhSMe, 4-MeOPhSMe and 4-CNPhSMe at the respective S1 ← S0 origins (top row), on the v7a = 1 resonance (in the case of PhSMe) and on representative resonances at similar wavenumber in the other three cases (middle row), and on a resonance at higher wavenumber ∼(0 + 1400) cm−1 (for all except PhSMe, bottom row). Panel (c) in each case shows the corresponding TKER spectrum, and its decomposition into components attributable to formation of à and
state radical products. Some data sets show a weak isotropic background signal (dashed line) which, after exhaustive optimisation of the beam conditions to minimise any cluster component, we attribute to multiphoton absorption and subsequent dissociation of the 4-YPhSMe parent. All of the images are slightly anisotropic; the recoil velocities of the Me fragments are preferentially parallel to ε (characterised by β ∼0.3–0.5), but none show any evidence of a component with opposite (negative) anisotropy on the leading edge of the TKER distribution as reported in an earlier study of PhSMe photolysis.14
The TKER spectrum obtained from photolysis of PhSMe at (0 + 722) cm−1 provides a convenient starting point for analysing and assessing these data. The faster and slower components are associated with formation of, respectively, PhS(
) and PhS(Ã) fragments (together with Me(v = 0) fragments). The separation between the respective maxima matches the documented energy splitting between these two states of the PhS radical (ΔE = 3000 cm−1, ref. 30). The previous VMI study concluded that most of the Me products are formed in their ground (v = 0) level.14 The breadth of the two TKER components implies that the PhS(
) and PhS(Ã) products are formed with a broad (∼2500 cm−1 full width at half maximum (FWHM)) spread of internal energies. This is understandable on FC grounds. S1 ← S0 excitation encourages expansion of the Ph ring, which would have to shrink again to attain the minimum energy geometry of the eventual PhS radicals; in-plane ring breathing vibrations can thus be expected to make a significant contribution to the observed internal excitation of these products. The fit of this particular TKER spectrum was noticeably improved by using a sum of two Gaussian functions (in velocity space) to describe each of the major product channels and a further Gaussian to describe the weak background signal. The best-fit decomposition in terms of these three components is shown in panel (c); the
/Ã branching ratio so derived (0.52, Table 1) accords well with the earlier determination by Lim et al.14
The TKER spectrum obtained following excitation of PhSMe at the S1 ← S0 origin is dominated by a single peak which, on energetic grounds and in accord with previous analysis, we assign to formation of PhS(Ã) radicals.14 The weak pedestal at higher TKER is attributable to PhS() product formation. For simplicity, it proved sufficient to decompose this spectrum into just two Gaussian functions – one describing each product channel. The deduced
/Ã branching ratio is small (∼0.08), as in the previous determination,14 implying a near-total population inversion between these two electronic states of the radical. Images taken on many other resonances in the range between
0 and (
0 + 1400) cm−1 all appear very similar. Analysis of all such images returns a best-estimate of the S–Me bond dissociation energy, D0(PhS–Me), and shows the
/Ã branching ratio increasing slowly as the excitation wavenumber is increased. Even at the highest wavenumber, however, this ratio is less than half that measured on the (
0 + 722) cm−1 resonance.
Relative to PhSMe, 4-MePhSMe should be the least perturbed of the various substituted thioanisoles investigated in this work. However, the images of Me(v = 0) products from S–Me bond fission in this molecule taken on many different resonances within the S1 ← S0 absorption band all look very similar. The analogous images recorded when exciting on the S1 ← S0 origin, at (0 + 733) cm−1 (i.e. on one of the several resonances that might be expected to involve ν7a-like motion in the S1 state of 4-MePhSMe) and at ∼(
0 + 1400) cm−1 are also displayed in Fig. 2. The best-fit value for the Ö
energy splitting in the 4-MePhS radical is ∼400 cm−1 greater than in the unsubstituted thiophenoxyl radical, and the S–Me bond strength shows a similar decrease relative to that in bare thioanisole, both of which trends are consistent with some modest stabilisation of the ground state radical by the electron donating Me group.31 The associated TKER spectra are dominated by Me + 4-MePhS(Ã) products, the recoil anisotropy is again preferentially parallel, and the
/Ã branching ratio is always small – increasing from 0 to ∼0.09 across this range (Table 1) without any obvious wavelength (or state) dependent discontinuity. We return to consider the very different electronic branching in the fragmentation of PhSMe and 4-MePhSMe in the region of the v7a = 1 resonance later.
The Me(v = 0) images from photolysis of 4-MeOPhSMe are also all dominated by the à state product channel; 4-MeOPhS() products are only recognisable in TKER spectra obtained at the shortest excitation wavelengths, by which point the
/Ã branching ratio has increased to ∼0.09. Again, we find no evidence for any excitation wavelength (or state) dependent discontinuity in the branching ratio. The corresponding images from 4-CNPhSMe photolysis also look superficially similar, but more careful analysis of these data actually reveals very different behaviour. Inspection of Fig. 2 shows that the TKER spectrum obtained when exciting at the S1 ← S0 origin is broader than in the cases of PhSMe, 4-MePhSMe or 4-MeOPhSMe and, upon tuning to shorter wavelengths, the TKER profiles degrade in the opposite sense to those from the other photolyses. Decomposing these profiles leads to the conclusion that 4-CNPhS(
) fragments are the majority product at all wavelengths studied, with the
/Ã branching ratio rising from ∼1.3 (at the S1 ← S0 origin) to ∼4.6 when exciting at ∼(
0 + 1400) cm−1 – see Table 1 – but, again, we find no evidence for any excitation wavelength (or state) dependent discontinuity in this branching ratio. As Table 1 also shows, the Ö
energy splitting in the 4-CNPhS radical is much reduced, and the S–Me bond correspondingly increased, relative to that found for the unsubstituted PhS radical and the PhSMe parent. Both differences can be traced to the electron withdrawing nature of the CN group, and the consequent destabilisation of the ground state radical.
CASSCF and CASPT2 PECs along RS−Me were calculated for the ground and the first four excited singlet (and triplet) states of bare PhSMe. Fig. 3 shows the CASPT2 PECs, obtained by varying RS−Me while holding the rest of the nuclear framework at the ground state equilibrium geometry. These calculations used a state averaged (SA) CASSCF method, with the orbitals state-averaged over the above nine states and a (10/9) active space comprising the 3 ring centred π orbitals and their π* anti-bonding counterparts, σ and σ* orbitals localised on the S–Me bond and a diffuse px orbital supporting a lone pair on the S atom. A small imaginary level shift of 0.5 a.u. was required to aid convergence and circumvent the presence of intruder states.
Both calculations reproduce the observed S1 ← S0 energy separation fairly well. The CASSCF calculations significantly underestimate the experimental D0(PhS–Me) value, while the CASPT2 calculations overestimate this quantity (by ∼0.3 eV). Nonetheless, the general shapes of the first few excited singlet and triplet PECs returned by both sets calculations are very reminiscent of those reported previously for PhSH.6 Inspecting the orbital coefficients confirms that these lower lying excited states are dominated by electron promotion from the highest occupied π orbital (at least in the vertical FC (vFC) region). The 11ππ*/11πσ* and 11πσ*/1ππ CIs (CI-1 and CI-2, respectively) are clearly evident in Fig. 3, as is the avoided crossing between the lowest lying 3A′(3ππ*) potential (henceforth T1) and the repulsive 3nσσ* PEC (at RS−Me ∼2.3 Å).
Fig. 4 shows EOM-CCSD PECs for the S0, 11ππ* and 11πσ* states of PhSMe, 4-MeOPhSMe and 4-CNPhSMe obtained by varying the S–Me torsion angle ϕ while holding all other degrees of freedom at their ground state equilibrium values. For the symmetrically substituted species (PhSMe and 4-CNPhSMe), ϕ = 0 and 180° represent equivalent planar geometries. The corresponding potentials for 4-MePhSMe are very similar to those for bare PhSMe. The diabatic 13ππ* and 13πσ* potentials show the same ϕ preference (i.e. planar and non-planar, respectively) as their singlet counterparts. The obvious asymmetry of the excited state PECs for 4-MeOPhSMe reflects the greater calculated stability of the anti-conformer (i.e. with the S–Me bond tilted away from the Me group in the MeO). These 1-D PECs highlight the different minimum energy geometries of the 11ππ* and 11πσ* states in these molecules at the equilibrium RS–Me value and, as noted in the previous studies of PhSMe,14,15,17 suggest a likely role for torsional motion in promoting coupling between these excited states. These EOM-CCSD calculations also confirm that the S1 ← S0 excitation dominates the long wavelength absorption in these thioanisoles and suggest that Y-substitution induces a (small) bathochromic shift of the S1 ← S0 origin (consistent with the measured origins listed in Table 1).
As noted earlier, the recent literature contains several studies addressing non-radiative population transfer mechanisms from the optically ‘bright’ 11ππ* state to the dissociative 11(n/π)σ* PES in a range of heteroatom containing aromatic molecules. O–H bond fission by tunnelling through the barrier under the 11ππ*/11πσ* CI in the RO–H stretch coordinate in phenols has been studied extensively.8,10,12 The corresponding energy barrier in RS–H in the thiophenols is much smaller but, here too, tunnelling enables predissociation from the lowest S1 vibrational levels.9 Me is a much heavier leaving group; should S–Me bond cleavage in the thioanisoles be pictured in a similar way? Kim and Lim14 proposed a key role for torsional motion of the S–Me group in promoting dissociation from the S1 state of thioanisole – a view that has since been developed further17 – but the way in which the fragmentation dynamics might be tuned by strategic substitutions has not been explored hitherto.
In what follows, we first picture possible S–Me bond fission as a result of 4-YPhSMe(S1) molecules coupling to the dissociative 11πσ* PES, evolving towards CI-2 and eventually branching into and à state radical products. Such a mechanism provides a superficially satisfactory rationale for the observed behaviour but, as shown in the ESI,† wavepacket propagations on model 2-D(RS–Me,ϕ) PESs constructed by reference to the present ab initio data highlights inadequacies in such an approach. Thus we end this section by reporting the calculated MEP to S–Me bond fission on a fully relaxed, multi-dimensional adiabatic potential for the S1 state and showing that this can provide a plausible rationale for all of the observed product branching.
Me is a weak σ perturber and thus has little effect on the π-system; unsurprisingly, the 1-D PECs in ϕ space for 4-MePhSMe are similar to those of bare thioanisole. So, too, is the electronic branching in the 4-MePhS products and its variation with excitation wavelength (if we temporarily ignore the anomalous branching measured when exciting the v7a = 1 level of PhSMe). Introducing a strong π donor like MeO, in contrast, has an obvious effect on the torsional PECs. The minimum energy geometry of the S0 state of 4-MeOPhSMe is non-planar (ϕmin ∼ 70°). Vertical excitation will thus favour preparation of S1 molecules with non-planar geometries, where the calculated energy separation between the 11ππ* and 11πσ* PESs is reduced, though we note that the present EOM-CCSD calculations again place the 11πσ* PES above the 11ππ* PES at all ϕ (Fig. 4(b)). Thus, though the potentials are significantly modified by MeO substitution, we should again anticipate that 11ππ* 11πσ* population transfer will be more efficient at non-planar geometries. As noted previously, the CN group withdraws π-density from the ring into its π* orbital, which is compensated by partial conjugation with the sulfur px lone-pair. The S0 state of 4-CNPhSMe thus has a planar equilibrium geometry, and vertical excitation will favour population of S1 molecules with ϕ = 0°. Nonetheless, the present analysis suggests that CN substitution should enhance the efficiency of 11ππ*
11πσ* population transfer – by virtue of the greater relative stabilisation of the 11πσ* PES (see Fig. 4(c)).
Global factors influencing the /Ã product branching following transfer to the 11πσ* PES can be envisaged by inspecting the calculated PECs shown in Fig. 3 and 4. To form 4-YPhS(
) radicals, the dissociating molecules must follow the diabatic path through CI-2 (which is localised at ϕ = 0°). 4-YPhS(Ã) product formation, in contrast, requires that the dissociating molecules follow the adiabatic path, avoiding CI-2 by virtue of having a non-planar geometry (ϕ ≠ 0°) at the relevant extended RS−Me bond lengths. Given these general guidelines, the influence of the various Y-substituents on the eventual product branching might appear relatively self-evident.
PhS(Ã) radicals are the dominant products from PhSMe photolysis at all wavelengths studied (see Table 1). This is consistent with the foregoing discussion, since CI-1 presents a larger barrier to dissociation at planar geometries and the coupling efficiency through this CI should increase at ϕ values away from 0°. state product formation would require that the anisotropy of the 11πσ* PES is sufficient to bring the molecular frame back close to planarity before the separating fragments reach RS−Me values associated with CI-2. The present observations could be accommodated by assuming that most dissociating molecules pass through the region near CI-2 with ϕ ≠ 0° and follow the adiabatic potential to PhS(Ã) products. The relative yield of
state products increases upon tuning to shorter photolysis wavelengths, i.e. when populating higher vibrational levels of the S1 state. The S1 state lifetime is sufficient to allow some IVR prior to transfer to the 11πσ* PES. Any IVR that channels vibrational energy into modes that aid passage through CI-1 (e.g. S–Me stretching motion) would reduce the effective barrier at ϕ = 0° and thus encourage coupling through CI-1 at smaller ϕ; molecules evolving on the 11πσ* PES at smaller ϕ should have a higher probability of being drawn into the well associated with CI-2 and dissociating to
state products. The observed electronic population inversion in the 4-MePhS products from 4-MePhSMe photolysis, and its excitation wavelength dependence, could be understood in the same way.
Rationalising the predominance of à state products in the presence of a strong π-donating substituent like MeO would be similarly straightforward. In this case, vertical excitation prepares S1 molecules with ϕ far from 0°, in regions of configuration space where 11ππ* 11πσ* coupling would be more favourable (recall Fig. 4(b)). Again, the topography of the 11πσ* PES seemingly offers little to encourage dissociating molecules to evolve towards near planar geometries, CI-2 is avoided, and à state products might thus be expected to dominate. Finally, we consider the influence of a strong π-withdrawing substituent (CN). As in PhSMe, the minimum energy geometries of the S0 and S1 states are both planar. The vertical energy separation of the 11πσ* and 11ππ* states is smaller, however, to the extent that the former is calculated to be the lower in energy at ϕ = 90° (Fig. 4(c)). Relative to PhSMe, we thus might anticipate enhanced 11ππ*
11πσ* coupling efficiencies at smaller ϕ and that, once on the 11πσ* PES, a larger fraction of the dissociating molecules would be drawn into the well associated with CI-2 and evolve to 4-CNPhS(
) radical products. Again, decreasing the excitation wavelength is seen to boost the relative yield of the diabatic dissociation products (Table 1) and, again, the same IVR based explanation could reasonably apply.
The finding that exciting the PhSMe S1(v7a = 1) level leads to an anomalously high PhS() product yield was first explained by assuming that this mode provided particularly direct access to the 11πσ* state via CI-1.14 This conclusion was supported by the deduced negative recoil anisotropy of Me products on the leading edge of the TKER distribution – consistent with products arising from direct excitation to the dissociative 11πσ* PES.14 As noted in Section 3.1, however, the present study finds no evidence of a velocity dependent Me product recoil anisotropy from PhSMe, or from any other 4-YPhSMe. Rather, we observe a small positive β value over the whole TKER range – consistent with dissociation following initial S1 ← S0 excitation. Nonetheless, the anomalously high
/Ã branching ratio reported by Lim et al.,14 and reproduced in the present work, implies that the ν7a mode has a significant impact on the eventual dissociation dynamics. The special role of this resonance in PhSMe was explained by noting that this asymmetric in-plane vibration involves substantial S–Me stretching motion and matches closely with the derivative coupling (DC) component of the branching space associated with CI-1. As such, this mode would be particularly efficient at promoting vibronic coupling through the seam of intersection at geometries closer to ϕ = 0° – thus boosting the likelihood that dissociating molecules would subsequently pass through the localised region of configuration space associated with CI-2 and form
state radical products.17 Broadly similar conclusions were reached regarding the nature of the ‘special’ resonances that yield anomalously large
/Ã product branching ratios in the dissociation of thioanisole-d3, though the data analysis more clearly revealed the multi-dimensional facets of the radiationless transfer at the CI-1 seam.15
There remains a question as to why this particular resonance has such a dramatic effect on the /Ã branching ratio in PhSMe, but seemingly not in any of the 4-YPhSMe molecules investigated in the present work. MeO and CN substitutions both cause significant perturbation of the π system, so these are probably not ideal test-beds for exploring the nature of the special resonance. The Me group is not a direct π perturber, however. Me substitution in the 4-position has little influence on the ϕ-dependent PECs (cf. PhSMe) or on the deduced wavenumber of ν7a. Yet the relative yield of
state products when exciting on any of the various features lying in the appropriate wavenumber range for v7a = 1 within the 1 + 1 REMPI spectrum of 4-MePhSMe (Fig. 1(a)) is small (see e.g.Fig. 2(a) and Table 1), and similar to that observed when exciting on other resonances at longer or shorter wavelength. A plausible explanation for this difference comes from analysing the nuclear motions involved in the respective ν7a modes. A Me group in the 4-position acts as a ‘mass anchor’, reducing the amplitude of the S−Me stretch component within the overall motion. As a result, and in contrast to PhSMe, the correlation between ν7a and the DC component of the branching space associated with CI-1 in 4-MePhSMe is weaker, and exciting the v7a = 1 level offers little benefit in terms of enhancing vibronic coupling at CI-1 at smaller ϕ – as would be required in this scenario if the dissociating flux was to sample CI-2 and evolve to
state radical products. The current study suggests that each of the 4-substituents degrades the S–Me ‘local mode’ nature of ν7a (relative to the case in bare PhSMe), and thereby reduces the role of this mode in promoting coupling at CI-1.
Though persuasive, the foregoing interpretation is not without its difficulties. Like phenol,8,32 thioanisole and the symmetrically substituted species with Y = Me and CN should be viewed within the non-rigid G4 molecular symmetry group, which raises questions about the likely efficacy of torsion alone as a coupling mode at CI-1. The wavepacket calculations on model 2-D(RS–Me,ϕ) potentials summarised in the SI raise further questions. No prior assumptions were made regarding the magnitudes of the coupling terms at CI-1 or CI-2 (V12 and V02, respectively), and a wide range of possible values were explored. Given the assumed potentials, it was possible to find V12 values consistent with the S1 state having a ns lifetime but even assigning V02 its maximum possible value failed to generate anything approaching the extent of the observed population inversion observed in the PhS products. Given this inability to replicate the observed dominance of electronically excited PhS(Ã) products following excitation to the S1 state in this (model) 2-D framework, we now explore the problem in higher dimensionality by calculating minimum energy paths (MEPs) on the adiabatic S1 PESs for both PhSMe and 4-CNPhSMe.
These calculations highlight the multi-dimensional nature of the dissociation. The TD-DFT calculations reaffirm the planar minimum energy geometry of the S1 state in the vFC region (i.e. near the minimum of the diabatic 1ππ* state) but also show substantial distortions by RS–Me ∼ 2.0 Å (i.e. in the region corresponding to (the lower half of) CI-1). The most obvious change is a torsion-like movement of the Me group around the C–S bond (as assumed previously14,17), but the calculations also show the S atom out of plane (on the opposite side of the ring-plane to the Me group) and some puckering of the benzene ring – all of which motions are pleasingly consistent with those identified by Han et al. in their recent state-selected photolysis studies of thioanisole-d3.15 Nuclear configuration 2 represents a local maximum on the calculated MEP, located ∼2500 cm−1 above the S1 minimum. Comparison with the rigid body CASPT2 PECs shown in Fig. 3 implies that this combination of orthogonal displacements enable a ∼30% reduction in the effective barrier height (measured relative to the S1 minimum). Extending RS–Me further, the calculated minimum energy geometry has reverted to planar by RS–Me = 2.2 Å but the anisotropy (around ϕ ∼ 0°) remains rather flat until approaching CI-2 (i.e. RS–Me > 3 Å). Calculated minimum energy structures at various RS–Me values are shown at the top of the figure. The solid black line through the open symbols shows the S0 state energies calculated at the relaxed S1 geometries. (The one filled black point shows the fully relaxed S0 state energy, and the single open red symbol shows the S1 state energy calculated at this ground state geometry). Two other PECs are shown by dashed lines extending from RS−Me ∼2 Å. These depict the S1 and S0 state energies calculated by extending RS−Me while holding all other degrees of freedom fixed at their values at the local maximum on the fully relaxed S1 PES. The red dashed curve captures the asymptotic limit associated with PhS(Ã) + Me products but, by virtue of the (fixed) non-planar geometry, shows no sign of the local minimum that would allow access to PhS() + Me products via coupling at CI-2.
Fig. 5(b) shows the results of similar calculations for 4-CNPhSMe. The corresponding S1 path along RS–Me proved hard to converge with C1 symmetry and was thus calculated with Cs symmetry constraints, using the same TD-DFT/CAM-B3LYP/3-21G level of theory. Wherever possible, the Cs constrained critical points (most notably the local maximum) along the relaxed path were then re-optimised without any symmetry constraint. These calculations returned negligible difference in the geometry and total energy when compared to the equivalent points computed with Cs symmetry constraints – implying that the minimum energy path in this case involves little (or no) distortion from planarity. As with PhSMe, the energies associated with the MEP were then recalculated at the CASPT2(12/10)/AVTZ level of theory in Molpro 2010.1; the results of these calculations are shown by the solid red curve in Fig. 5(b); as in Fig. 5(a), the solid black curve through the open black symbols shows the corresponding S0 energies calculated at the relaxed S1 geometries.
Thus we arrive at a refined interpretation for the observed dominance of electronically excited PhS(Ã) products following excitation to the S1(v = 0) levels of PhSMe (and, by analogy, 4-MePhSMe and 4-MeOPhSMe) and the very different product branching in the case of 4-CNPhSMe. Notwithstanding the more approximate nature of the TD-DFT calculations that underpin the MEP shown in Fig. 5(a), they serve to reinforce the view that S–Me bond fission occurs via tunnelling under CI-1, but the nuclear distortions required to minimise the effective barrier to dissociation are much more complicated than a simple torsion of the S–Me bond. Transit through the barrier is the rate limiting process, which is responsible for the ∼2.2 ns lifetime of PhSMe(S1).22 Post-barrier, the molecules emerge with non-planar geometries. The minimum energy path quickly reverts to (near)-planar geometries. However, the mean TKER of the asymptotic products (∼6000 cm−1) implies that it only takes ∼100 fs for RS–Me to increase from the exit side of the barrier to ∼3.5 Å and this is just too fast for the necessary heavy nuclear motions to replanarise the dissociating molecule before it passes through the RS–Me values associated with CI-2. Hence the observed propensity for remaining on the S1(adiab) potential and dissociating to PhS(Ã) + Me products. As argued previously, parent motions that facilitate tunnelling (e.g. motions in the RS–Me stretch coordinate) will allow barrier penetration at closer-to-planar geometries, thereby boosting the probability of non-adiabatic coupling at CI-2 and formation of PhS() products.
In the case of 4-CNPhSMe, the calculated MEPs shown in Fig. 5(b) broadly reinforce the conclusions reached previously from considering the 1-D PECs. Relative to PhSMe, the addition of an electron withdrawing CN group in the 4-position reduces the electron density on the ring and the driving force for non-planar distortions in the region of CI-1. After transiting the barrier, the dissociating molecules thus traverse the S1 PES with an overall geometry that is planar (or much closer to planar) and the enhanced non-adiabatic coupling at CI-2 and dissociation of 4-CNPhS() products inevitably follows.
The companion theory builds a self-consistent picture of the S–Me bond fission process, which shows obvious parallels with the mechanism underpinning S–H bond rupture when exciting thiophenols at their S1−S0 origin.9 S–Me bond fission following excitation to the S1 state involves coupling via a conical intersection (CI-1) with the repulsive 1πσ* PES, in the RS–Me stretch coordinate, and subsequent branching into and à state radical products at CI-2, between the diabatic 11πσ* and the 1ππ PESs at longer S–Me bond lengths. As in the thiophenols, CI-1 lies at an energy above that of the S1(v = 0) level. Tunnelling through the barrier under CI-1 is facile in the thiophenols, but the corresponding barrier in thioanisole presents a real impediment to dissociation – as reflected by the orders of magnitude difference in the excited state lifetimes of PhSH (sub-ps)9 and PhSMe (∼2.2 ns).22 PhSMe(S1) molecules have a planar equilibrium geometry in the vFC region, but the calculated MEP through the barrier under CI-1 requires opposing out-of-plane motions of the S atom and the Me group, and some puckering of the benzene ring. Having emerged from this barrier region, the S–Me bond extends rapidly, to the extent that the dissociating molecules pass through RS–Me values associated with the CI-2 too quickly for the replanarisation of the nuclear framework required to enable coupling at CI-2 to take effect: Me + PhS(Ã) products are the inevitable result of such dissociations. The gradual increase in PhS(
) radical yield upon tuning to shorter photolysis wavelengths, and the marked increase in PhS(
) yield when exciting on a parent resonance (v7a = 1) involving substantial S–Me stretching motion, can both be understood in terms of an enhanced probability for barrier passage at closer-to-planar geometries. The dominance of 4-CNPhS(
) products when exciting low vibrational levels of the 4-CNPhSMe(S1) state can be traced to the reduced π-electron density on the ring, which is a driver for the out-of-plane distortions in the region of CI-1. Molecules dissociating on the adiabatic S1 PES thus propagate at much closer-to-planar geometries and thus have a greater opportunity for non-adiabatic coupling at CI-2.
The present study provides further illustration of the added benefits of investigating families of related molecules, at a number of different excitation wavelengths, and of combining careful experiments with appropriate high level theory when seeking to develop a more complete understanding of molecular photofragmentation dynamics.
Data accessibility: The underlying data for this paper has been placed in the University of Bristol's research data repository and can be accessed using the following DOI: 10.5523/bris.13z36fefmpje81i5jlryfrxuva.
Footnotes |
† Electronic supplementary information (ESI) available. See DOI: 10.1039/c5cp01660f |
‡ Carl Zeiss SMT GmbH, Rudolf-Eber-Straße 2, 73447 Oberkochen, Germany. |
§ Departamento de Química Física I, Facultad de Ciencias Químicas, Universidad Complutense de Madrid, 28040 Madrid, Spain. |
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