8860 J. Am. Chem. Soc., Vol. 119, No. 38, 1997
Flanagan et al.
four representative reflections were measured every 60 min of X-ray
exposure. Plots of the intensities of these standard reflections versus
time showed no systematic changes over the time of the data collection,
and no correction for decay was applied.
[CuII(bite)](BF4)2 was obtained at -170 °C with a Varian E-Line EPR
spectrometer. Diphenylpicrylhydrazyl was employed as a field refer-
ence. Integration was standardized with respect to a solution of CuSO4
of known concentration. Copper X-ray absorption spectroscopic (XAS)
data were collected at the Stanford Synchrotron Radiation Laboratory
on beam line 7-3 with the SPEAR ring running at 3.0 GeV and
between 60 and 90 mA. Tables S-XIV and S-XV of the Supporting
Information detail the data collection and data reduction conditions and
parameters. Data reduction generally followed published methods.25
Conductivity. Solution conductivity data were collected in dichlo-
romethane using a YSI Model 31 conductivity bridge. A temperature
of 25 °C was maintained by a constant temperature bath. Dichlo-
romethane solutions 10-5 M in [CuI(bite)](BF4), [CuII(bite)](BF4)2, and
tetra-n-butylammonium tetrafluoroborate (TBABF4) were made up
volumetrically. The cell constant was determined to be θ ) 1.58 cm-1
by using a 0.01 M aqueous solution of potassium chloride to calibrate
the conductivity cell.
Electrochemistry. Acetonitrile was refluxed over CaH2 for 12 h
and distilled immediately before use. Solutions were prepared in a
solvent fume hood. A stock solution of 2.5 × 10-2 M NaBF4 was
prepared and used to create solutions of 10-3 M ferrocene and [CuI-
(bite)](BF4). Cyclic voltammograms were collected using a BAS-
100BW electrochemical analyzer. Scans were collected at a rate of
100 mV/s using a standard three-electrode configuration with a 1 mm
platinum disc working electrode, Ag/AgCl reference electrode, and
platinum wire auxiliary electrode.
Lorentz and polarization corrections were applied to the data. The
linear absorption coefficient is 10.45 cm-1 for Mo KR radiation. An
empirical absorption correction based on a series of ψ-scans was applied
to the data. Relative transmission coefficients ranged from 0.793 to
1.000 with an average value of 0.881. Intensities of equivalent
reflections were averaged. The agreement factors for the averaging of
the 2688 multiply measured reflections with their respective duplicates
were 0.084 based on intensity and 0.059 based on Fo. The relatively
high values are due to the large number of unobserved data in the data
set resulting from the small sample size.
The structure was solved with the MULTAN19 direct methods
program which revealed the positions of 11 of the 17 unique
non-hydrogen atoms of the cation. The other non-hydrogen atoms were
located from a subsequent difference electron density Fourier map. All
hydrogen atoms could be located from difference electron density
Fourier maps calculated after preliminary refinement of the non-
hydrogen atoms. The structure was refined by a full-matrix least-
squares process where the function minimized was ∑w(|Fo| - |Fc|)2,
2
2
and the weight w is defined as w ) 4Fo σ2(Fo ) ) 1/σ2Fo. The standard
2
deviation on intensities is defined as follows: σ2(Fo ) ) [S2(C + R2B)
2
+ p2Fo ]/Lp2, where S is the scan rate, C is the total integrated peak
count, R is the ratio of scan time to background counting time, B is the
total background count, Lp is the Lorentz-polarization factor, and the
parameter p (here set to 0.04) is a factor introduced to down-weight
intense reflections.
Variable-Temperature 1H NMR. 1H NMR spectra were collected
as a function of temperature on an IBM/Bru¨ker AF-300 NMR
spectrometer. Typically 16 scans were accumulated into 32 K of
memory and Fourier transformed. Data were collected from room
temperature down to approximately 5 °C above the freezing point of
the solvent. Spectra were accumulated at 10 °C intervals. The signals
due to residual solvent protons were used as internal chemical shift
references, with the CHD2CN quintet assigned a value of 1.93 ppm,
the CHD2COCD3 quintet a value of 2.04 ppm, and the CHDCl2 triplet
a value of 5.32 ppm.
Electron Self-Exchange Kinetics. Spectra were collected in a
manner similar to that used for the variable-temperature 1H NMR
experiments described above. Line widths were obtained from the
transformed spectra by using the Lorentzian curve-fitting routine
available on the IBM/Bru¨ker AF-300 spectrometer. Data were collected
as a function of temperature and concentration of the oxidized form of
the copper complex. Samples were prepared to maintain a constant
ionic strength of µ ) 25 mM in acetone-d6 with TBABF4 as the
supporting electrolyte. Ten milliliters of an acetone-d6 solution was
prepared from 60.1 mg of [CuI(bite)](BF4). This stock solution was
then used as solvent to prepare solutions A and B. Solution A was
prepared by dissolving 14.8 mg of TBABF4 to a volume of 3 mL.
Solution B was prepared by dissolving 3.4 mg of [CuII(bite)](BF4)2 to
a volume of 1 mL. NMR samples were prepared by mixing appropriate
aliquots of A and B to achieve the desired concentration of [CuII(bite)]-
(BF4)2. Solution B was used immediately after the [CuII(bite)](BF4)2
had completely dissolved, and the NMR samples were frozen in liquid
nitrogen until just prior to insertion into the spectrometer. This
procedure prevented significant decomposition of the somewhat unstable
oxidized form of the complex.
Scattering factors were taken from Cromer and Waber.20 Anomalous
dispersion effects were included in Fc;21 the values for ∆f ′ and ∆f ′′
were those of Cromer.22 Only the 1617 reflections having intensities
greater than 3.0 times their standard deviation (on Fo) were used in the
refinements. The model for the final cycles of refinement assigned
anisotropic displacement parameters to the non-hydrogen atoms and
included the hydrogen atoms in fixed idealized positions (d[C-H] )
0.95 Å, B[H] ) 1.1B[Cattached]), thus including 195 variable parameters
and resulting in a data/variable ratio of 7.1/1. Refinement converged
with unweighted and weighted agreement factors of R1 ) ∑|Fo - Fc|/
2
∑|Fo| ) 0.061 and R2 ) (∑w(Fo - Fc)2/∑wFo )1/2 ) 0.063, and an
estimated standard deviation of an observation of unit weight of 1.04.
The highest correlation coefficient was 0.38. The highest peak in the
final difference electron density Fourier map was 1.06 e-/Å3 with an
estimated error based on ∆F23 of 0.14 located near the copper atom.
The highest peak not associated with the heavy atoms was 0.56 e-/Å3.
Plots of ∑w(|Fo| - |Fc|)2 versus |Fo|, reflection order in data collection,
sin θ/λ and various classes of indices showed no unusual trends. All
calculations were performed on a VAXstation 3200 using the SDP/
VAX program system24 unless noted otherwise.
Spectroscopy. Electronic spectra were collected on a Hewlett
Packard 8452A Diode Array Spectrophotometer in 1 cm matched quartz
cuvettes. Solutions 1.0 × 10-5 M in [CuI(bite)](BF4) and 1.0 × 10-4
M in [CuII(bite)](BF4)2 were made up volumetrically. Scans were
collected in the range of 190-820 nm, with the shorter wavelength
limited by the solvent. Far IR spectra were collected for [CuI(bite)]-
(BF4) and [CuII(bite)](BF4)2 and compared to those for KBF4, NaBF4,
and [CuII(en)2](BF4)2. Data were collected on a Perkin-Elmer 1430
ratio recording infrared spectrophotometer. Compounds were run as
their Nujol mulls on CsI plates. The spectrometer was purged with
argon gas. The X-band EPR spectrum of a frozen acetonitrile glass of
Numerical Methods. Calculations were performed with Student
Matlab for Macintosh (The Math Works, Inc.) on a Macintosh Performa
400 desktop computer. Inverse relaxation times, 1/T2, were determined
from the line widths (∆ν1/2) simply by multiplying by the constant π:
1/T2 ) π∆ν1/2. First-order rate constants, k, were obtained as the inverse
paramagnetic contribution to relaxation time, 1/T2p, by subtracting the
inverse natural relaxation time at a given temperature from the inverse
average relaxation time observed, 1/T2, in the presence of copper(II):
k ) 1/T2p ) 1/T2 - 1/T2n.
(19) Main, P.; Fiske, S. J.; Hull, S. E.; Lessinger, L.; Germain, G.;
DeClercq, J.-P.; Woolfson, M. M. MULTAN 11/82; University of York:
York, England, July 1982.
(20) Cromer, D. T.; Waber, J. T. In International Tables for X-Ray
Crystallography; The Kynoch Press: Birmingham, England, 1974; Vol.
IV, Table 2.2B.
(21) Ibers, J. A.; Hamilton, W. C. Acta. Crystallogr. 1964, 17, 781.
(22) Cromer, D. T. In International Tables for X-Ray Crystallography;
The Kynoch Press: Birmingham, England, 1974; Vol. IV, Table 2.3.1.
(23) Cruickshank, D. W. J. Acta. Crystallogr. 1949, 2, 154.
(24) Frenz, B. A. In Computing in Crystallography; Schenk, H., Olthof-
Hazelkamp, R., vanKonigsveld, H., Bassi, G. C., Eds.; Delft University
Press: Delft, Holland, 1978; pp 64-71.
The activation parameters of the self-exchange reaction were
determined from Eyring plots. Since
q
q
k ) (κT/h)e-∆H /RTe∆S /R
(1)
the enthalpy, ∆Hq, and the entropy, ∆Sq, of activation may be obtained
(25) Scott, R. A. Methods Enzymol. 1985, 117, 414-459.