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NIKOLIC, USCUMLIC, AND JURANIC
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solvent-to-solute hydrogen bond. The β scale runs
from 0.00 for non-HBA solvents (e.g., n/hexane) to
about 1.00 for hexamethylphosphoric acid triamide.
The correlations of the kinetic data were carried out
by means of multiple linear regression analysis, and the
solvent effects on the reaction rates were analyzed in
terms of initial and transition state contributions. The
quantitative relationship between the molecular struc-
ture and the chemical reactivity has been discussed,
as well as the effect of geometry on the reactivity of
the examined molecules. The geometric data of all
the examined compounds corresponding to the energy
minima in solvent were obtained using semiempirical
MNDO-PM3 energy calculations.
in solvent, were obtained using semiempirical MNDO-
PM3 energy calculations [23,24].
RESULTS AND DISCUSSION
The second-order rate constants for the reac-
tion of 2-methylcyclohex-1-enylcarboxylic, 2-phenyl
cyclohex-1-enylcarboxylic, 2-methylbenzoic, and 2-
phenylbenzoic acids with DDM in 14 various solvents
at 30◦C, together with the previously determined [15]
rate constants for cyclohex-1-enylcarboxylic and ben-
zoic acids, are given in Tables I and II. Comparison
of the rate constants in protic and aprotic solvents in-
dicates that the examined reaction is slower in aprotic
solvents, which are in accordance with the supposed
reaction mechanism [6–9]. The mechanism of this re-
action in both protic and aprotic solvents was found to
involve the same rate-determining step: proton transfer
from the carboxylic acid to DDM, forming a diphenyl-
methanediazonium carboxylate ion-pair, which rapidly
reacts to give esters, or ethers in the case of hydroxylic
solvents.
MATERIALS AND METHODS
Cyclohex-1-enylcarboxylic, 2-methylcyclohex-1-enyl-
carboxylic, and 2-phenyl-clohex-1-enylcarboxylic
acids were prepared by the method of Wheeler and
Lerner [20], from the corresponding cyclohexanone
cyanohydrine, which was dehydrated to cyanocyclo-
hexene. Nitrile was hydrolyzed with phosphoric acid
to the corresponding cyclohex-1-enylcarboxylic acid.
Benzoic, 2-methylbenzoic, and 2-phenylbenzoic acids
were commercial products (Fluka, Germany).
Ph2CN2 + RCOOH → Ph2CHN+2 −O2CR
Our previous investigations of the reactivity of α,β-
unsaturated carboxylic acids with DDM in various
solvents [12–15] established that the effect of a sol-
vent on the reaction rate should be given in terms of
the following properties: (i) the behavior of a solvent
as a dielectric, facilitating the separation of opposite
charges in the transition state, (ii) the ability of a sol-
vent to donate a proton in a solvent-to-solute hydrogen
bond and thus stabilize the carboxylate anion in the
transition state, (iii) the ability of a solvent to donate
an electron pair and therefore stabilize the initial car-
boxylic acid, by way of a hydrogen bond between the
carboxylic proton and the solvent electron pair. The
parameter π∗ is an appropriate measure of the first
property, whereas the second and the third properties
are governed by the effects of the solvent acidity and
basicity, quantitatively expressed by the parameters α
and β respectively.
The chemical structure and the purity of the ob-
tained compounds were confirmed by melting or boil-
ing points, 1HNMR, FTIR, and UV spectra.
Diazodiphenylmethane was prepared by the method
of Smith et al. [21], and stock solutions were stored in
a refrigerator and diluted before use. Solvents were
purified as described in previous papers [7,22]. All the
solvents used in the kinetic studies were of analytical
grade. Rateconstants for thereactionof examinedacids
with DDM were determined as reported previously, by
the spectroscopic method of Roberts and his coworkers
[10], using a Shimatzu UV-1700 spectrophotometer.
Absorbance measurements were performed at 525 nm
with 1 cm cells at 30 0.05◦C. The second-order rate
constants for all acids were obtained by dividing the
pseudo-first-order rate constants by the acid concen-
tration (the concentration of acid was 0.06 mol dm−3
and of DDM 0.006 mol dm−3). Three to five rate de-
terminations were made on each acid in every case,
and the particular second-order rate constants agreed
within 3% of the mean. The correlation analysis was
carried out using Origin and Microsoft Excel computer
software. The goodness of fit was discussed using cor-
relation coefficient (R), standard deviation (SD), and
the Fisher’s value (F).
Solvent–Reactivity Relationship
To explain the obtained kinetic results through sol-
vent dipolarity/polarizability and basicity or acidity,
the rate constants of the examined acids were corre-
lated with the solvent properties using the total solva-
tochromic equation (1). The solvent parameters, which
were determined by Kamlet et al. [25], are given in
Table III. The correlations obtained from the data given
The geometries of all the molecular species exam-
ined in this work, corresponding to the energy minima
International Journal of Chemical Kinetics DOI 10.1002/kin