ISSN 0036-0244, Russian Journal of Physical Chemistry A, 2011, Vol. 85, No. 9, pp. 1505–1515. © Pleiades Publishing, Ltd., 2011.
Published in Russian in Zhurnal Fizicheskoi Khimii, 2011, Vol. 85, No. 9, pp. 1621–1632.
1505
INTRODUCTION
Kinetic and activation parameters (Е
а
, k(Т), ΔH
#
,
ΔS
#
, and ΔG
#
) are one set of tools for the mechanistic
study of chemical reactions. If we perform a detailed
analysis of the experimental data for a series of related
reactions with variation of a certain reaction parame-
ter (e.g., the polarity or solvating ability of the solvent,
the electronic or steric effects of the substituents, the
pressure), the result could be the detection of phe-
nomena known as the isokinetic relationship (IKR)
and the enthalpy–entropy compensation effect
(EEC). There are many works in which various
IKR/EEC concepts and interpretations are com-
pared, detailed theoretical proofs and algorithms for
the verification of these effects are produced (with
examples of their pseudo-existence when mandatory
conditions seem to be met), and the mathematical and
statistical aspects needed to interpret IKRs and the
EEC are considered [1–5]. Vlasov’s work, in which
the much of the literature data on the activation
parameters of bimolecular nucleophilic reactions are
generalized and systematized, can be very useful in
understanding both the correlation between a reaction
mechanism and its activation parameters, and the
suitability of the EEC in performing comparative anal-
ysis of various mechanisms [6].
Linear correlation ln k
0, i
–E
a, i
, for a series of related
reactions is the first criterion of an IKR for which
there is an isokinetic temperature (T
iso
) when all stud-
ied reactions proceed at equal rates. The evaluated T
iso
Activation Parameters of Supercritical
and Gas-Phase β-Pinene Thermal Isomerization
1
A. M. Chibiryaev
a, b
, A. Yermakova
c
, and I. V. Kozhevnikov
b, c
a
Vorozhtsov Novosibirsk Institute of Organic Chemistry, Siberian Branch, Russian Academy of Sciences,
Novosibirsk, 630090 Russia
b
Department of Natural Sciences, Novosibirsk State University, Novosibirsk, 630090 Russia
c
Boreskov Institute of Catalysis, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
e-mail: chibirv@nioch.nsc.ru
Received September 6, 2010
Abstract—New data on enthalpy and entropy contributions to the energy barrier of β-pinene thermal
isomerization were obtained. The rate of β-pinene conversion is higher in supercritical EtOH (P = 120 atm)
than in the gas phase (P ≤ 1 atm, without solvent, or for inert carrier gas N
2
) at equal temperatures. The high-
est activation energy E
Σ
of total β-pinene conversion is also observed in reactions in the supercritical (sc) con-
dition. Activation parameters , , and depend strongly on the reaction pressure. Thus, at P ≤ 1 atm
(gas-phase reaction) the values of are negative, while at sc conditions at P = 120 atm is positive. The
linear dependences ln k
Σ0
– E
Σ
and – indicate an isokinetic relation (IKR) and enthalpy–entropy
compensation effect (EEC). The isokinetic temperature was calculated (T
iso
= 605.5 ± 22.7 K). It was shown
that elevation of temperature reduces the value of (T) upon sc thermolysis only, whereas in all gas-phase
reactions (T) increases. At equal reaction temperatures, the greatest values of (T) proved to be typical
for thermolysis in sc-EtOH. We hypothesize that the rate of total β-pinene conversion increases dramatically
due to a considerable shift in equilibrium toward higher concentrations of activated complex . A detailed
analysis of activation parameters shows that the IKR and EEC coincide, evidence of a common mechanism
of β-pinene conversion observed under different reaction conditions, including thermolysis in sc-EtOH.
Keywords: β-Pinene thermal isomerization, activation parameters, pressure dependence, isokinetic relation-
ship, enthalpy-entropy compensation effect.
DOI: 10.1134/S0036024411090068
ΔH
Σ
#
ΔS
Σ
#
ΔG
Σ
#
ΔS
Σ
#
Δ H
Σ
#
ΔS
Σ
#
ΔG
Σ
#
ΔG
Σ
#
K
eq
#
y
TS
#
CHEMICAL THERMODYNAMICS
AND THERMOCHEMISTRY
1
This article was translated by the authors.