7218 J. Phys. Chem. B, Vol. 105, No. 30, 2001
Fuller and Wasielewski
Figure 4. The first-order diffraction efficiency (η) of the photorefrac-
tive grating for a variety of LC composites is illustrated.
Figure 5. Dark conductivity as a function of applied voltage for 5PMI-
NI (8.0 × 10-4) in a 5CB/8OCB mixture.
efficiency in these thin (Raman-Nath) gratings is calculated
as the ratio of the intensity of the first diffracted beam to the
intensity of one of the writing beams incident upon the sample.
Several concentrations of both 5PMI-NI and 5PMI/NI were
examined, and Figure 4 plots the diffraction efficiency η against
applied voltage. It is apparent that the composite achieving the
best diffraction efficiency at the lowest voltage is the one doped
with 5PMI-NI (8.0 × 10-4 M). The composite containing 5PMI
(1.0 × 10-3 M)/NI (3.0 × 10-3 M) requires an additional 0.4
V applied to the film to achieve a comparable diffraction
efficiency. Figure 4 also shows that the diffraction efficiency
of the composite using a 5PMI/NI mixture with a 3x molar
excess of NI is better than that of one doped with equimolar
amounts of 5PMI and NI. This behavior is consistent with the
expected increased efficiency of the reaction: 1*5PMI + NI
f 5PMI+ + NI-, when higher concentrations of either reactant
are present.
processes involving oxidation of the donor and/or reduction of
the acceptor molecules at the ITO electrodes. The rates of these
redox processes are retarded by the octadecylsiloxane layer on
the ITO, but these thin layers do not completely inhibit the redox
chemistry. By comparison the photoconductivity at low voltages
is about 10-11 ohm-1 cm-1, and is weakly dependent on voltage
for voltages <2 V. The data in Figure 5 suggest that voltages
below 1.5 V are necessary to main a reasonable ratio of σph/
(σph + σd). Using the values K ) 7 × 10-7 dyne,21 ne ) 1.5, ꢀ∞
) 2.25, ꢀs ) 10.5, T ) 298 K, L ) 26 µm, m ) 1, λ ) 514
nm, q ) 3.7 × 103 cm-1, EA ) 1.2 V, σph ) 10-11 ohm-1
cm-1, and σd ) 10-10 ohm-1 cm-1, along with the measured
value of η ) 0.11 for the composite containing 5PMI-NI at
1.2 V, eq 1 yields ν ) 0.25. This value is comparable to ν )
0.29 obtained for the corresponding ANI-NI system at 1.5 V
reported earlier.15 Since the diffraction efficiency for the 5PMI/
NI sample is 0.013 at 1.2 V, eq 1 yields ν ) 0.08. Given the
definition of ν in eq 2, the larger value of ν for 5PMI-NI shows
that the difference in diffusion coefficients between the 5PMI+-
NI and 5PMI-NI- ions is greater than that between 5PMI+
and NI-. This results in a more efficient photorefractive grating
using the 5PMI-NI dyad.
The diffraction efficiency η of a Raman-Nath orientational
grating is given by8
2
LmkbT EAꢀsꢀ∞sin â
σph
η )
ν
(1)
(
)
(
)
ꢀ∞E2A
2πKq2
λneKqe
σph + σd
1 +
(
(
)
)
Conclusions
We have demonstrated that an aminoaryleneimide with
extended conjugation, 5PMI, which possesses a low energy
absorption band extending into the near-infrared region of the
spectrum, exhibits significant photorefractive effects in nematic
LC composites. Moreover, using a covalently linked 5PMI-NI
donor-acceptor pair for charge generation rather than the
corresponding noncovalent mixture of 5PMI and NI signifi-
cantly improves performance. This work indicates that molecular
designs based on extended aminoaryleneimides should allow
us to produce new charge generation materials for photorefrac-
tive LC composites to access the near-infrared spectral region.
D+ - D-
D+ + D-
where
ν )
(2)
D+ and D- are the diffusion constants for the cations and anions,
respectively; L is the thickness of the sample, m is the
modulation index, which equals 1 if equal intensity beams
generate the grating; kB is the Boltzmann constant, T is the
temperature, q is the wavevector of the grating, λ is the
wavelength; ne is the index of refraction along the extraordinary
axis; K is the single constant approximation of the Frank elastic
constant;8 e is the electronic charge; EA is the voltage applied
to the cell; ꢀs is the average static dielectric constant of the LC;
ꢀ∞ is the high-frequency dielectric constant; σph is the photo-
conductivity; and σd is the dark conductivity.
Acknowledgment. We gratefully acknowledge support from
the Office of Naval Research under Grant N00014-99-1-0411.
It is clear from eq 1 that two important factors that determine
the diffraction efficiency are the difference between the
photoconductivity and the dark conductivity and the difference
between the diffusion coefficients of the cations and anions.
The data in Figure 5 show that the dark conductivity of the
sample rises significantly when the applied voltage is greater
than about 1.5 V. This increase in dark conductivity with
increasing applied voltage is most likely due to faradaic redox
Supporting Information Available: Syntheses of 5PMI,
NI, and 5PMI-NI. This material is available free of charge via
References and Notes
(1) Feinberg, J. Phys. Today 1988, 41, 46.
(2) Dinu, M.; Nakagawa, K.; Melloch, M. R.; Weiner, A. M.; Nolte,
D. D. J. Opt. Soc. Am. B 2000, 17, 1313.