This paper reports on the solvent effect on energy transfer
reactions in supercritical CO2. The
energy
transfer reactions are studied by steady-state and time-resolved
fluorescence spectroscopy and the fluorophor/quencher
reaction pairs are chosen to vary the reactions from
diffusion-controlled to kinetically-controlled. In particular,
the
fluorescence quenching of anthracene by CBr4,
1,2-benzanthracene by CBr4, and anthracene by
C2H5Br in supercritical
CO2 at 35 °C has been reported. Experimental rate
constants for the first two reaction pairs, anthracene/CBr4
and
1,2-benzanthracene/CBr4, follow the predicted diffusion
control limit at all pressures from 77.9 to 160.6 bar,
indicating
that local solvation does not enhance the reaction rate nor
substantially impede the diffusion process in
supercritical
CO2. The rate constants for the third reaction, the
quenching of anthracene by C2H5Br, are
several orders of magnitude
below the diffusion control limit, indicating that the reaction is
kinetically controlled, as it is in liquids. In
supercritical
CO2 the apparent rate constants (i.e., those based on bulk
concentrations of the reactants) for the
anthracene/C2H5Br
reaction decrease dramatically with increasing pressure. We
believe that this apparently large pressure effect on the
reaction rate is primarily due to the local composition enhancement of
the quencher molecules around the dilute
anthracene solute. This analysis is supported by fluorescence
spectra and solvatochromic shift data of anthracene in
pure CO2 and in mixtures of CO2 with
C2H5Br at 35 °C that indicate both local
density augmentation and local
composition increases around the anthracene.
We report on the solvent effect on a kinetic-controlled energy-transfer reaction in super- and
subcritical ethane. The reaction chosen, the quenching of naphthalene fluorescence by C2H5Br,
occurs well below the diffusion-controlled limit in liquid solvents and in ethane. The reaction
was studied in ethane over a wide range of pressures, extending from 34.8 to 111.6 bar at 40
°C, which corresponds to reduced densities (ρ
r = ρ/ρ
c, where ρ
c is the critical density of ethane)
between 0.27 and 1.76. The rate constants in super- and subcritical ethane range from 2.42 ×
108 to 1.36 × 109 M-1 s-1, which is several orders of magnitude below the diffusion-controlled
limit (which is on the order of 1011 M-1 s-1 at these conditions). As in several previous reports,
the apparent rate constants, based on bulk concentrations of the reactants, increase dramatically
with decreasing pressure in the supercritical region. More importantly, at reduced densities
below about 0.44, the apparent rate constants based on bulk concentrations decrease with
decreasing pressure. Because the rate constants are solvent insensitive in a variety of liquid
solvents, we attribute the behavior of the apparent rate constants in ethane to local composition
enhancement of C2H5Br around naphthalene. In addition, we present compelling theoretical
(based on integral equation calculation) results that confirm a maximum in the local composition
of C2H5Br around naphthalene near a reduced density of 0.44. This is the first experimental
study of a simple, bimolecular reaction over such a wide range of densities. Moreover, it is the
first to show a maximum in the reaction rate, which corresponds to the expected maximum in
the local composition enhancement.
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