ORDER
REPRINTS
ULTRASONIC IRRADIATION
2519
in the reaction studied, the napthoquinone could be reduced to the radical
anion, or cyclohexadiene could be oxidized to its radical cation by the
radiomimetic effect.4 Reaction then is envisioned to occur with the radical
ions; these reactions are well known to occur with much lower activation
energies. Alternatively, a sonication enhanced redox process could take
place between the two reagents. These possibilities cannot be ruled out,
although the fact that these reactions proceed even without ultrasound
and the relatively small rate enhancement suggest that a shift in reaction
mechanism is not likely.
Equation 1 predicts a linear relationship between ln(k) and solvent
vapor pressure; this relationship was not observed either with the bath
or the probe. In all cases there was little effect of rate by the solvent
choice, although n-butanol exhibited higher rate increases than other
solvents with similar heats of vaporization or vapor pressures. Lorimer,
Mason, and coworkers have also observed little correlation between rate
enhancements and solvent vapor pressures in the solvolysis of tert-butyl
chloride in ethanol-water solutions.6 They have interpreted their results in
terms of disruption of the solvent structure by the sonocation, thereby
altering the reagent solvation and thus the reaction rate. This explanation
could explain the comparatively large rate enhancement observed for the
reaction in n-butanol which can intermolecularly hydrogen bond; however,
the low rate enhancements for ethanol, toluene, and the glyme series indi-
cate even if solvent structure does play a role, other factors are equally
important.
The low correlation between reaction rate and solvent vapor pressure
suggests that cavitation is not the direct cause. Indeed, Tuulmets has
estimated that rate enhancements arising directly from cavitation should be
approximately 1.0003. This value is derived from Suslick’s estimation of the
collapsing bubble’s size and lifetime, typical activation parameters for the
Diels Alder reaction, and Kumar’s kinetic estimate of 1010 bubbles undergo
cavitation per second per liter in water. For a direct acceleration of 2.0,
he estimates that approximately 1015 collapsing bubbles per second per
liter are needed, a value he considers too high to be consistent with the
observed data.3
Equally important, reactions between 1-methoxy-1,3-cyclohexadiene
and 2-cyclohexeneone, diethyl-maleate, and ethyl crotonate; between
1,3-cyclohexadiene and 2-cyclohexeneone; and between 1,3-cyclooctadiene
and crotononitrile, maleic anhydride, and napthoquinone were all unsuc-
cessful both as silent reactions and with the ultrasonic bath or probe.
Thus any temperature, electron transfer, or radical process which may be
initiated by ultrasonic irradiation must have only a minimal effect on these
reactions.