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34547326195
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We note, however, that the recent experiments by Ruhman and co-workers described in ref 37 are not entirely consistent with the CTTS band being composed of three orthogonally-polarized subbands. This is because these workers report a negative parallel-minus-perpendicular change in optical density at the spectral position of the highest energy of the three p-like subbands following excitation of the lowest-energy p-like subband. Because the highest- and lowest-energy subbands should have orthogonal transition dipoles, the signal measured by Ruhman and co-workers is expected to be positive if the CTTS band is indeed composed of three orthogonally-polarized p-like subbands.
-
We note, however, that the recent experiments by Ruhman and co-workers described in ref 37 are not entirely consistent with the CTTS band being composed of three orthogonally-polarized subbands. This is because these workers report a negative parallel-minus-perpendicular change in optical density at the spectral position of the highest energy of the three p-like subbands following excitation of the lowest-energy p-like subband. Because the highest- and lowest-energy subbands should have orthogonal transition dipoles, the signal measured by Ruhman and co-workers is expected to be positive if the CTTS band is indeed composed of three orthogonally-polarized p-like subbands.
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55
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The zero of time was also allowed to vary in the fitting for each probe wavelength
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The zero of time was also allowed to vary in the fitting for each probe wavelength.
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56
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34547247162
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We note that ref 24 does not present any cross-section data for the solvated electron that is blue of 557 nm, so for wavelengths bluer than this, we assumed that the electron absorption is flat. As discussed in detail in the Supporting Information, this should be a good approximation and it has a negligible effect on our final results
-
We note that ref 24 does not present any cross-section data for the solvated electron that is blue of 557 nm, so for wavelengths bluer than this, we assumed that the electron absorption is flat. As discussed in detail in the Supporting Information, this should be a good approximation and it has a negligible effect on our final results.
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57
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34547379546
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As will be discussed further in the conclusions as well as in ref 26, there is a possibility that the excited CTTS electron could also absorb to some extent in this region.
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As will be discussed further in the conclusions as well as in ref 26, there is a possibility that the excited CTTS electron could also absorb to some extent in this region.
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58
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34547270656
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We note that in this spectral region there is no distinction between the DE model presented in ref 25 and the DE+S model presented in ref 26. See the Appendix for details
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We note that in this spectral region there is no distinction between the DE model presented in ref 25 and the DE+S model presented in ref 26. See the Appendix for details.
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59
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34547340095
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Although we are unable to test this assumption because there is no wavelength where we can cleanly probe the bleach, we feel that this assumption is reasonable because the sodide CTTS band is expected to have a very similar electronic structure to the hydrated electron, where there is no dynamic solvation seen in the bleach. See refs 43-45
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Although we are unable to test this assumption because there is no wavelength where we can cleanly probe the bleach, we feel that this assumption is reasonable because the sodide CTTS band is expected to have a very similar electronic structure to the hydrated electron, where there is no dynamic solvation seen in the bleach. See refs 43-45
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We would expect to see spectral diffusion if the experiments were not done with the pump and probe pulses set to magic angle because we know that there is a probe wavelength dependence to the anisotropy in the bleach see refs 26, 36, and 37
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We would expect to see spectral diffusion if the experiments were not done with the pump and probe pulses set to magic angle because we know that there is a probe wavelength dependence to the anisotropy in the bleach (see refs 26, 36, and 37).
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In ref 37, Ruhman and co-workers did not divide out the population dynamics in their analysis because they assumed that there was no recombination and thus that the sodide bleach did not have any population dynamics
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In ref 37, Ruhman and co-workers did not divide out the population dynamics in their analysis because they assumed that there was no recombination and thus that the sodide bleach did not have any population dynamics.
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63
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34547306052
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Because our data was collected at discrete energies, we numerically integrated to obtain the average frequency using the midpoint rule
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Because our data was collected at discrete energies, we numerically integrated to obtain the average frequency using the midpoint rule.
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64
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34547253389
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We chose to use Lorentzians for these fits because the high-energy side of the Na+,e, species fits well to a Lorentzian and because we have collected only the high-energy part of the spectrum during this solvation process
-
-) species fits well to a Lorentzian and because we have collected only the high-energy part of the spectrum during this solvation process.
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65
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34547308297
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This rise time is not identical to the average solvation time because it reflects only the time it takes the Na+,e, spectrum to grow in at this wavelength
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-) spectrum to grow in at this wavelength.
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0345802848
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Bedard-Heam, M. J.; Larsen, R. E.; Schwartz, B. J. J. Phys. Chem. B 2003, 107, 14464.
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(2003)
J. Phys. Chem. B
, vol.107
, pp. 14464
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Bedard-Heam, M.J.1
Larsen, R.E.2
Schwartz, B.J.3
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84858102571
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- at 400 nm because they assumed that the spectrum had reached equilibrium by ∼4 ps; see the Supporting Information for more details.
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- at 400 nm because they assumed that the spectrum had reached equilibrium by ∼4 ps; see the Supporting Information for more details.
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68
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34547369925
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This solvation process is likely not due to cooling of the sodium atom because it is well-known that the CTTS bands of solutes shift to the blue upon cooling ref 40, whereas the spectrum of the Na atom that we observe undergoes a dynamic red-shift
-
This solvation process is likely not due to cooling of the sodium atom because it is well-known that the CTTS bands of solutes shift to the blue upon cooling (ref 40), whereas the spectrum of the Na atom that we observe undergoes a dynamic red-shift.
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69
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84858095764
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As documented in ref 4, the long-time solvation component seen for coumarin 153 in liquid THF is ∼1 ps.
-
As documented in ref 4, the long-time solvation component seen for coumarin 153 in liquid THF is ∼1 ps.
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To be submitted for publication
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Bragg, A. E.; Schwartz, B. J. To be submitted for publication.
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Bragg, A.E.1
Schwartz, B.J.2
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71
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When we employed this model in our original paper (ref 25, we assumed that the solvent-separated and free electrons did not decay because the decay of both of these species is at least an order of magnitude longer than the ∼10-ps dynamics that we were fitting to the model. In the version of the model employed in this paper, we assumed that the solvent-separated and free electrons recombined on the same (hundreds of ps) time scale, accounting for the small amount of longer-time recombination on the ∼40-ps time scale being considered
-
When we employed this model in our original paper (ref 25), we assumed that the solvent-separated and free electrons did not decay because the decay of both of these species is at least an order of magnitude longer than the ∼10-ps dynamics that we were fitting to the model. In the version of the model employed in this paper, we assumed that the solvent-separated and free electrons recombined on the same (hundreds of ps) time scale, accounting for the small amount of longer-time recombination on the ∼40-ps time scale being considered.
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72
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84858095759
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Although the experiments done by the Ruhman group have a faster time resolution than the experiments done in our group ∼60 fs vs ∼120 fs, no dynamics have been observed in this system that are faster than the ∼200 fs decay seen at ∼1200 nm. Therefore, even with our slower time resolution, we are able to observe all of the dynamics associated with the sodide CTTS process
-
Although the experiments done by the Ruhman group have a faster time resolution than the experiments done in our group (∼60 fs vs ∼120 fs), no dynamics have been observed in this system that are faster than the ∼200 fs decay seen at ∼1200 nm. Therefore, even with our slower time resolution, we are able to observe all of the dynamics associated with the sodide CTTS process.
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