1220 J. Am. Chem. Soc., Vol. 123, No. 6, 2001
Frederiksen et al.
The singlet oxygen signals recorded upon two-photon ir-
radiation of Ia-e and II were significantly smaller than signals
typically recorded in a one-photon pumping scheme. For
example, upon one-photon excitation of Ib with 355 nm
irradiation at <1 mJ pulse-1 cm-2, singlet oxygen signal-to-
noise ratios of ∼15 can routinely be recorded in our system
using a single laser pulse. However, to record a signal-to-noise
ratio of ∼15 in the two-photon experiment where IL ) 30 mJ
pulse-1 cm-2 typically required the summation of data from
∼1000 laser pulses. Moreover, in the two-photon experiments,
it was necessary to discriminate between the singlet oxygen
signal and a signal that originates as a consequence of the
interaction between the solvent and the radiation field in the
focused laser (e.g., Raman scattering and supercontinuum
emission23). In some cases, the latter signal can be sufficiently
large as to saturate our detector. If the detector does not saturate,
however, the decay of the undesired signal is limited by the
response time of our system (∼400 ns) and can be distinguished
from the more slowly decaying singlet oxygen signal. The
magnitude of this background signal at 1270 nm depends both
on the solvent and on the irradiation wavelength. For example,
this signal generally does not cause problems when focusing
∼600-800 nm light into D2O and toluene. On the other hand,
in CCl4 and CS2, the undesired signal can be appreciable.
Nanosecond Two-Photon Absorption Cross Sections.
Several experiments were done to assess the absolute as well
as relative two-photon absorption cross sections in Ia-d. To
describe this work, recall that both one- and two-photon
pumping schemes will ultimately result in the formation of the
lowest excited singlet state of the sensitizer, S1. Under conditions
that preclude or minimize secondary absorption of light by the
sensitizer within the irradiating pulse (i.e., low IL, vide supra),
the probability with which subsequent events occur will be
independent of the mechanism by which S1 was formed.
Specifically, the efficiency of S1 f T1 intersystem crossing and
the efficiency with which ground-state oxygen quenches the
sensitizer excited states to yield singlet oxygen will be identical
in both the one- and two-photon pumping schemes. Thus, by
normalizing the relative singlet oxygen intensities, I∆, obtained
from the two-photon experiments by the corresponding one-
photon singlet oxygen yield (Table 1), one should obtain a
parameter proportional to the two-photon absorption cross
section.
Ib and Id). Thus, two-photon singlet oxygen signals recorded
upon 800 nm irradiation of II must be compared to two-photon
singlet oxygen signals recorded upon irradiation of Ia-d at a
different wavelength and the data corrected for the respective
photon energies. For solutions of Id and II, both at 3 × 10-4
M, we find that Id has a two-photon absorption cross section
at 618 nm that is ∼2.2 times smaller than that of II at 800 nm.
Relative 618 nm two-photon absorption cross sections in Ia-
d, independently obtained, were then scaled accordingly (Table
1). Note that the smallest cross sections thus obtained, (7-8)
× 10-50 cm4 s photon-1 for Ia and Ic, are larger than the lower
limit estimated for the cross sections using acridine (vide supra).
The data in Table 1 indicate that the two-photon absorption
cross sections for Ia-d are reasonably large and depend
significantly on the nature of the substituent attached to the
chromophore.
It is well established that two-photon absorption probabilities
can depend on the relative polarization of the two photons that
are simultaneously absorbed by the molecule.2,19 Such a
polarization dependence, however, is not a requirement of a
two-photon transition. In our experiment, we are able to control
the relative polarization of the pumping photons such that their
polarization axes are either parallel or perpendicular to each
other (Figure 1). For all compounds examined, however, the
intensities of the singlet oxygen signals observed upon irradia-
tion were independent of the relative polarization of the light
in the two irradiating optical paths.
Femtosecond Two-Photon Results. All of the experiments
discussed thus far have been performed using a nanosecond laser
as the irradiation source. It is well documented, however, that
for two-photon experiments, there are many advantages to the
use of a femtosecond laser as the irradiation source.6 The
principal attribute of a much shorter irradiation pulse is the
ability to deliver a comparatively high peak power and fluence
using a comparatively small incident energy. Thus, two-photon
transitions can be more readily pumped with significantly less
photoinduced damage incurred by the system. Moreover, the
repetition rate of a femtosecond system can be much greater
than that of a typical nanosecond system, thus facilitating the
process of signal averaging and the detection of weak emission
signals. We thus felt it was important, in the least, to establish
that singlet oxygen could likewise be detected in a two-photon
photosensitized process using a femtosecond laser as the
irradiation source.
Indeed, upon irradiation of compound II with a femtosecond
laser at 802 nm in toluene (∼1-50 µJ/pulse), we were readily
able to observe singlet oxygen phosphorescence in a time-
resolved experiment. As in the nanosecond experiments, it was
necessary to discriminate between the singlet oxygen signal and
a background signal arising from the laser-solvent interaction.
Nevertheless, this was easily done, and appreciable singlet
oxygen signal-to-noise levels (>20) were rapidly obtained (<5
s) at a sampling frequency of 100 Hz. These data are consistent
with the previously mentioned advantages of using a femto-
second laser to pump a two-photon transition.
First, we note the absence of singlet oxygen signals upon
∼670-690 nm irradiation of pyrene and acridine, for which
two-photon cross sections of 0.22 × 10-50 and 2.0 × 10-50
cm4 s photon-1, respectively, have been measured at 694 nm.3
These values, which are small in comparison to values for
molecules considered to be efficient two-photon absorbers,11
allow us to estimate a lower limit for the two-photon cross
sections in Ia-d. However, a better assessment of the two-
photon absorption cross sections in Ia-d can be made by using
compound II as a reference standard, for which a value of
(450 ( 70) × 10-50 cm4 s photon-1 at 800 nm has been
reported.11
As shown in Figure 6, we find that compound II has a two-
photon absorption maximum at ∼800 nm. Unfortunately,
compound II does not have an appreciable two-photon cross
section at ∼618 nm, for example, where Ib shows a nice
maximum (Figure 4). Moreover, compounds Ib and Id do not
have an appreciable two-photon absorption at 800 nm (i.e.,
singlet oxygen was not observed upon 800 nm irradiation of
Conclusions
We have demonstrated that time-resolved singlet oxygen
phosphorescence can be detected from the small spatial domain
of a focused laser beam after the two-photon excitation of a
photosensitizer. In this work, a series of reasonably efficient
two-photon singlet oxygen sensitizers were prepared. The singlet
oxygen signals observed reflect the unique features of this
nonlinear optical experiment: (1) depth penetration in the
(23) The Supercontinuum Laser Source; Alfano, R. R., Ed.; Springer-
Verlag: New York, 1989.