1888
ALIMARDANOV et al.
r1 = k1[c1][c2],
r2 = k2[с1][с2],
r3 = k3[с3],
(1)
(2)
(3)
(4)
Taking into account the results obtained, the process
of condensation of ketone and glycol in spiroacetal can be
described by the step-by-step scheme (Table 3). The stage
responsible for the interaction of alkylcyclopentanone
with the Gd-polyoxomolybdate diolate complex
according to Scheme 2 was chosen as the limiting one.
r4 = k4[с2][с3],
r5 = k5[с2][с3],
r6 = k6[с2]2,
(5)
(6)
where k1–k6 are reaction rate constants along routes I–VI;
r1–r6 are the rates of accumulation of reaction products
using the corresponding stoichiometric equations; c1–c3
are the concentrations of the starting ketone, diol, and
hemiacetal.
CONCLUSIONS
(1) The conditions for the condensation of C5–C7-
alkyl- and cycloalkyl-substituted cyclopentanone and
vicinal glycols (ethane-1,2- and propane-1,2-diols) to
the corresponding spiroacetals with participation of
polyoxomolybdenum modified with rare-earth oxides
were studied.
When compiling the equations, the esterification rates
on the basis of additional experiments and analyzes of
the reaction products were equated to zero. The rates of
transformation of the initial ketone and glycol, as well as
the reaction products obtained from routes I – VI, were
calculated using the following equations:
(2) Kinetic patterns were studied and kinetic equations
and a step-by-step kinetic model were compiled describing
the main reaction routes. It has been established that
the corresponding spiroacetal from ketone and diol is
formed both directly, in one stage, and according to a
two-stage scheme, through the stages of the preparation
of hemiacetal.
W1 = –r1–r2,
W2 = –r1–r2–r4–r5–2r6,
W3 = r1–r3–r4–r5,
W4 = r2 + r3,
(7)
(8)
(9)
(10)
(11)
(12)
REFERENCES
W5 = r4 + r5,
W6 = r6.
1. Traven’, V.F., Organicheskaya khimiya (Organic
where W1–W6 are the experimentally found rates listed in
Table. 2
Chemistry), vol. 2, Moscow: Binom, 2013.
2. Kheyfits, L.A. and Dashunin, V.M., Dushistyye veshchestva
i drugiye produkty dlya parfyumerii (Perfumes and Other
Perfumery Products), Moscow: Khimiya, 1994.
The rate constants were calculated by a modified fourth-
order Runge–Kutta method using the Matlab-6.5 program. The
experimental values of the constants were found graphically
and refined by minimizing the standard deviations between the
observed and calculated data for Eqs. (7)–(12). Pre-exponential
values of the constants and activation energy were calculated
for the individual stages of the condensation reaction of
2-n-pentylcyclopentanone and ethanediol-1,2, having the
following form:
3. Osnovy organicheskoi khimii dushistykh veshchestv dlya
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Chemistry of Fragrant Substances for Applied Aesthetics
and Aromatherapy), Soldatenkov, A.T., Ed., Moscow:
IKTS “Akademkniga,” 2006.
4. Mashkovskii, M.D., Lekarstvennyye sredstva (Drugs),
ch. 1, Moscow: Meditsina, 2000.
k1 = 1.65 × 102exp(–9465/RT) M–1 min –1,
k2 = 6.1 × 104exp(–16907/RT) M–1 min –1,
k3 = 7.07 × 104exp(–22822/RT) M–1 min–1,
k4 = k5 ≈ 0,
5. Nedumaran, D. and Pandurangan, A., Micropor. Water,
2013, vol. 169, pp. 25–34.
6. Miyake, H., Nakao, Y., and Sasaki, M., Chem. Lett., 2007,
vol. 36, no. 1, pp. 104–105.
k6 = 2.29 × 102exp(–13451/RT) M–1 min –1,
7. USSR Byull. Izobr. 587839, 1978, no. 1; Herbicidal
Composition.
where R is the universal gas constant, 8.3144 J mol–1 K–1.
The standard deviation for the main route I was 12.5%;
for routes II–IV, 15–21%. The zero value of the constants
k4 and k5 indicates that the main direction for the
transformation of semi-acetal is route III.
8. Shui-Jin, Y., Qiang, W., and Guo-bin, D., J. Xuzhou
Institute Technol. Natural Sci. Ed., 2012, vol. 3, pp. 25–28.
9. Zhang, F., Xu, D., Luo, Sh., Liu, B., and Xu, Z., J. Chem.
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RUSSIAN JOURNAL OF APPLIED CHEMISTRY Vol. 91 No. 11 2018