10904 J. Am. Chem. Soc., Vol. 120, No. 42, 1998
Williamson and Bowler
controller without correction. Before sample preparation, all samples
were dried on a drying pistol using KOH pellets as a drying agent and
refluxing methanol for heat. All samples were prepared as ap-
proximately 1.0 mM solutions and were stored in the dark. The
chemical shift of the amide NH as a function of temperature was fit to
a linear equation to obtain the rate of change of the amide NH chemical
shift with respect to temperature, ∆δNH/∆T. The correlation coef-
ficient, r2, was greater than 0.99 in all cases.
NMR tube was then sealed with an O2 torch. During spectral
acquisition, the sample temperature was controlled at 5.0 °C. The
spectrum was obtained with τ1 ) 300 µs (150 increments, 96 scans/
increment), τ2 ) 100 µs (4096 points), τm ) 0.25 s with a spin lock
pulse of ∼2 kHz, a delay time of 1.2 s, and a spectral width of 12
kHz. Data were analyzed with Felix (ver. 95.0) software.
Fluorescence Lifetime Measurements. The time-correlated single-
photon-counting (TCSPC) experiments17 were performed at the Beck-
man Institute’s Laser Resource Center (California Institute of Tech-
nology, Pasadena, CA). TCSPC fluorescence decay curves were
produced by the buildup of a histogram of counts versus time. A mode-
locked, synchronously pumped, cavity-dumped dye laser was used to
photoexcite the sample at 600 nm (60 mW, 3.8 MHz, and 12 ps pulse
width). The fluorescence emission was passed through a polarizer set
at the magic angle of 54.7°. The light then entered a monochromator,
which was set at 650 nm. The histograms obtained were fit to single-
or multiple-exponential decays using curve-fitting software developed
at Caltech and based upon least-squares methods. The fit was believed
Amide A and Amide I Infrared Spectra. FTIR studies were
carried out in anhydrous dichloromethane (DCM) or dimethyl sulfoxide
(DMSO), which were purchased from Aldrich at 99.98% purity in sure
seal bottles. DCM was treated with anhydrous K2CO3 to remove any
residual water or acid. Infrared spectral data were obtained with a
Nicolet Prote´ge´ 460 FT-IR spectrometer at 2-cm-1 resolution and are
reported in cm-1. The spectrometer was purged with dry N2 for 15
min before spectra were recorded. Samples were prepared between
CaF2 plates with a 1.0-mm path length spacer. All spectra were
processed using OMNIC (ver. 2.1) software by subtraction of the
solvent background (using the optically clear region near 2000 cm-1),
subtraction of residual water vapor, and baseline correction. Curve-
fitting was carried out using Grams/386 (ver. 3.02) software. Curve-
fitting routines were stopped when a minimum ø2 value was obtained
for the anticipated number of stretches, and the curve fit resembled
the actual spectrum by visual inspection. Residual line correlations
(R2) were better than 0.995. If the curve fit for the anticipated number
of peaks did not resemble the peak profile, additional peaks were added
until the fit resembled the peak profile. Normally, a mixed Gaussian
and Lorentzian curve shape was used to represent the IR absorption
bands in the curve-fitting procedure. If the fit for a particular curve
was either 100% Lorentzian or Gaussian, the peak was fixed as such,
and curve-fitting for the other curves was allowed to continue using
mixed functions. All compounds were dried on a drying pistol as
described above for NMR samples. DCM and DMSO samples were
prepared at a concentration of ∼1 mM in a drybox flushed with dry
N2.
Temperature-Dependent Amide A IR Measurements. For tem-
perature-dependent IR studies in DCM, A Nicolet 5DXC FTIR
spectrometer was used at a resolution of 4 cm-1. A cold head with
KBr windows (RMC Cryosystems, model 22, Tucson, AZ), equipped
with a He compressor and a gold-plated liquid sample holder, was used.
Samples were placed in a 1-cm path length IR quartz cell (International
Crystal Labs, Inc., Garfield, NJ), which was sealed with a Teflon lid
and Parafilm to prevent solvent evaporation. A Palm Beach Cyro-
physics, Inc. series 4000 cryogenic thermometer/controller was used
to control and monitor the temperature within the cold head. The
temperature was allowed to equilibrate for 20 min before each spectrum
was acquired. Spectra were processed as above for room-temperature
data. The non-hydrogen-bonding standard, NPMA, was used to
evaluate the extinction coefficient for the non-hydrogen-bonded second-
ary amide NH stretching vibration at 3445 cm-1 as a function of
temperature. This extinction coefficient was then used to evaluate the
equilibrium constant for â-turn formation at each temperature, Kâ-turn(T),
for Por/PL/DMB, using eq 3, where [Por/PL/DMB]total is the total
2
to be appropriate for the decay when øν ≈ 1.0, where øν2 is chi-squared
normalized to the number of degrees of freedom. The samples for the
TCSPC experiments were dried overnight in a drying pistol as for the
temperature-dependent NMR experiments. The samples were prepared
at a concentration of 2-10 µM in a 1-cm quartz fluorescence cell,
which was attached to a 10-mL Pyrex volumetric flask and a Teflon
stopcock. After the dried samples were dissolved into anhydrous
dichloromethane or dimethyl sulfoxide, the samples were freeze-
pump-thawed in the attached Pyrex flask a minimum of 10 cycles to
remove dioxygen. The degree of oxidation of the quinone moiety of
Por/PL/Q was estimated from the increase in the extinction coefficient
at 248 nm (ꢀ248 ) 20 300 M-1 cm-1 for methyl-p-benzoquinone in CH2-
Cl2)18 relative to Por/PL/DMB.
Calculation of Rate Constants, Driving Force, and Reorganiza-
tion Energies. Electron-transfer rate constants, ket, were calculated
using eq 4,19 where τo is the fluorescence lifetime for Por/PL/DMB
1
1
ket )
-
(4)
τ1 τ0
and τ1 is the lifetime for Por/PL/Q. It is assumed that electron transfer
is the only additional excited-state decay pathway introduced in the
conversion from Por/PL/DMB to Por/PL/Q. Energy transfer is not
expected to compete since there is no spectral overlap between the
porphyrin emission near 650 nm and quinone absorbance bands.
The driving force (-∆G°) for a free base Por/PL/Q molecule in
dichloromethane was calculated using eq 5. This equation has been
e2
∆G° ) e(EP° - EQ°) -
- ∆GES
(5)
4πꢀoꢀsaPQ
found to successfully correlate electron-transfer rate constants for
porphyrin-quinone donor-acceptor compounds in a variety of sol-
vents.12 The values for EP° and EQ°, the electrochemical potentials
for one-electron oxidation of free base porphyrin and the one-electron
reduction of quinone, respectively, are taken from previously published
electrochemical data for the porphyrin and quinone moieties used in
Por/PL/Q.12 Since EP° and EQ° were not reported for DMSO in the
previous work,12 the CH3CN values were used, since ꢀs(CH3CN) is
similar to ꢀs(DMSO). EP°-EQ° values in a wide range of solvents
deviate from the value of 1.41 eV in CH3CN by (0.1 eV. We have
used this deviation to define the error in the evaluation of -∆G° for
DMSO and propagated this error into subsequent calculations. The
second term in eq 5 is a Coulombic correction to account for
stabilization of the charge-transfer state produced after electron transfer.
In the second term, ꢀo is the permittivity of free space (8.854 × 10-12
C2 N-1 m-2). The static dielectric constants used were ꢀs(DCM) )
Kâ-turn(T) ) {[Por/PL/DMB]total
(AbsNHB-Por/PL/DMB(T)/ꢀNPMA(T))}/
(AbsNHB-Por/PL/DMB(T)/ꢀNPMA(T)) (3)
-
concentration of Por/PL/DMB in the sample, AbsNHB-Por/PL/DMB(T) is
the absorbance at the non-hydrogen-bonding NH stretching frequency
(∼3445 cm-1) of Por/PL/DMB at temperature T, and ꢀNPMA(T) is the
extinction coefficient of the stretching vibration of the secondary amide
NH of NPMA, the non-hydrogen-bonding standard, at temperature T.
ROESY 1H NMR Experiments. The 2D ROESY experiment16 on
Por/PL/DMB was performed on a Varian 500-MHz NMR spectrometer
in the Department of Chemistry and Biochemistry at the University of
Colorado at Boulder. Por/PL/DMB was dissolved in CD2Cl2, freeze-
pump-thawed (five cycles) to remove O2, and refilled with N2. The
(17) Small, E. W. In Topics in Fluorescence Spectroscopy, Vol. 1:
Techniques; Lakowicz, J. R., Ed.; Plenum Press: New York, 1991; pp 97-
182.
(18) McIntosh, A. R.; Siemiarczuk, A.; Bolton, J. R.; Stillman, M. J.;
Ho, T.-F.; Weedon, A. C. J. Am. Chem. Soc. 1983, 105, 7125-7223.
(19) Lakowicz, J. R. Principles of Fluorescence Spectroscopy; Plenum
Press: New York, 1983; pp 261-262.
(16) Bothner-By, A. A.; Stephen, R. L.; Lee, J.; Warren, C. D.; Jeanloz,
R. W. J. Am. Chem. Soc. 1984, 160, 811-813.