1312 Inorganic Chemistry, Vol. 39, No. 6, 2000
Lente et al.
Instrumentation. Shimadzu scanning spectrophotometers and a
Shimadzu Multispec 1501 diode-array spectrophotometer were used
to record UV-vis spectra and kinetic curves. A 1 cm cell was used
except for the study with tetrabutylammonium iodide where its low
solubility required much lower concentrations and a 10 cm cell. An
Applied Photophysics DX-17 MV sequential stopped-flow apparatus
was used in single mixing mode for fast reactions. The optical path
length in the stopped-flow instrument was 1 cm. In every kinetics
experiment (stopped-flow and conventional UV-vis) the measured
initial absorbances were compared with corresponding blank curves,
in which one of the reagents was absent, to detect possible reactions
occurring in the mixing time. Single-wavelength kinetic studies for the
monomerization reactions were usually run at 610 nm, where all the
ML complexes have considerable absorption and D absorbs very little.
Kinetics data for the ligand exchange reactions were evaluated at ∼400
nm to obtain the maximum absorbance change.
Chart 1
dissolved in 2 mL of benzene was added 100 µL of ethyl isothiocyanate,
which is known to react with moisture giving 1,3-diethylthiourea. The
solution was stored at room temperature; after 1 month crystals formed.
X-ray crystal data: monoclinic, C2/c, a ) 26.5431(13) Å, b ) 9.4650-
(5) Å, c ) 15.6416(7) Å, â ) 117.385(1)°, V ) 3489.3(3) Å3, Z ) 8,
T ) 173(2) K, Dcalc ) 1.918 Mg/m3, R(F) ) 1.93% for 3555
independently observed (I g 2σ(I)) reflections (4° e 2θ e 53°).
Crystallography. The crystal evaluation and data collection were
performed using a Bruker CCD-1000 diffractometer with Mo KR (λ
) 0.710 73 Å) radiation. The diffractometer-to-crystal distance was
5.08 cm. All atoms other than hydrogen were refined with anisotropic
displacement coefficients. All hydrogen atoms were included in the
structure factor calculation at idealized positions and were allowed to
ride on the neighboring atoms with relative isotropic displacement
coefficients. The software and sources of the scattering factors are
contained in the SHELXTL (version 5.1) program library.16 Absorption
corrections were carried out by programs SADABS.17
1H NMR spectra were recorded with Varian VXR 300 MHz and
1
Bruker DRX 400 MHz spectrometers. The H chemical shifts were
measured relative to the residual 1H resonance of the deuterated solvent
C6D6 (δ ) 7.16 ppm). Because all the reactions were accompanied by
substantial UV-vis spectral changes, the NMR technique was used
only to monitor reactions qualitatively and to identify the products.
Computation. Stopped-flow kinetics curves were fitted with the
nonlinear least-squares routine in the software package provided by
the manufacturer. Each rate constant was determined as the average of
at least five values from replicate kinetic runs and was reproducible
within 5%. The software PSEQUAD12 was used to obtain equilibrium
constants from multiwavelength absorbance data. These calculations
are based on the net absorbance change from beginning to end and are
independent of the kinetic measurements. Typically, absorbance read-
ings were recorded at 25-35 different wavelengths in the 320-700
nm range; this set of values was used in a global fit to extract the
equilibrium constant for each pyridine derivative. The concentration
ranges were [Re]T ) 0.2-2 mmol L-1 and [L]T ) 2-800 mmol L-1
and were designed for each individual ligand specifically to optimize
the precision of equilibrium measurements.
Results
Preliminary Considerations. The monomerization of D is
believed to occur via two intermediates, DL and DL2, the
suggested structures of which are given in Chart 1. The
following scheme was proposed earlier to interpret monomer-
ization reactions with pyridine and triphenylphosphine:18,19
D + L yk1z DL
(3)
(4)
Rate constants from spectrophotometric experiments were obtained
by nonlinear least-squares fitting. Linearized forms were used only to
visualize data. The method of flooding was used whenever applicable,
and the functional dependence of the pseudo-first-order rate constants
on the concentration of the reagent in excess was used to derive the
rate law. With a few ligands, multiwavelength kinetic data were fitted
simultaneously in a global fit to determine pseudo-first-order rate
constants. That is, from data at n wavelengths, one obtains from this
method a single kobs, n amplitudes (Abs0 - Abs∞), and n end points
(Abs∞).13
k-1
DL + L yk2z DL2
k-2
Calculations for matrix rank analysis14 were carried out by the
software MRA.15 This method was used to determine the minimum
number of absorbing species from UV-vis spectral data based on the
singular values of the data matrix. An example of this process is given
in the Supporting Information.
Isolation and Crystallographic Parameters of M-L, L )
4-Acetylpyridine, C15H16NO2ReS2. Preparation. To 3 mg of D
dissolved in 2 mL of benzene was added 30 µL of 4-acetylpyridine.
The color of the solution turned a bright greenish-yellow in about 15
min. The product was isolated in crystalline form with slow diffusion
of hexane into the solution. X-ray crystal data: monoclinic, P21/c, a
) 16.8291(9) Å, b ) 7.4348(4) Å, c ) 12.9117(7) Å, â ) 98.710(1)°,
V ) 1596.89(15) Å3, Z ) 4, T ) 173(2) K, Dcalc ) 2.049 Mg/m3, R(F)
) 2.34% for 3761 independently observed (I g 2σ(I)) reflections (4°
e 2θ e 57°).
(5)
k4
DL2
98 2ML
(6)
This scheme has been able to account for all of the
monomerization reactions studied. Let us assume that reactions
3 and 4 are rapidly established equilibria in all instances because
that has been shown to be the case directly for every case in
which DL or DL2 was formed in detectable amounts. With that
assumption, then one can derive the following rate law for
experiments done with a large excess of ligand:
k3K1[L] + k4K1K2[L]2
1 + K1[L] + K1K2[L]2
d[D]
dt
d[ML]
dt
1
2
-
)
)
[D] (7)
Isolation and Crystallographic Parameters of M-L, L ) 1,3-
Diethylthiourea, C13H21N2OReS3. Preparation. To 3 mg of D
where the parameters are those given in eq 3-6, with K1 )
(12) Ze´ka´ny, L.; Nagypa´l, I. In Computational Methods for the Determi-
nation of Formation Constants; Legett, D. J., Ed.; Plenum Press: New
York, 1985; pp 291-299.
(16) Sheldrick, G. Bru¨ker Analytical X-ray Systems; Madison, WI,.
(17) Blessing, R. H. Acta Crystallogr. 1995, A51, 33-38.
(18) Jacob, J.; Lente, G.; Guzei, I. A.; Espenson, J. H. Inorg. Chem. 1999,
38, 3762-3763.
(19) Lente, G.; Jacob, J.; Guzei, I. A.; Espenson, J. H. Inorg. React. Mech.,
in press.
(13) Scientist, version 2.0; Micromath Software, 1995.
(14) Peintler, G.; Nagypa´l, I.; Jancso´, A.; Epstein, I. R.; Kustin, K. J. Phys.
Chem. A 1997, 101, 8013-8020.
(15) Peintler, G. version 3.04; Attila Jo´zsef University: Szeged, 1997.