1
084
∂lnk
KISELEV et al.
–
3
(
p
/∂p)1 bar = (1.15±0.03)×10 ln(k1000 bar/k1 bar). (9)
4. Cheng, C.C., Seymour, C.A., Petti, M.A., Green, F.D.,
and Blount, J.F., J. Org. Chem., 1984, vol. 49, p. 2910.
5. Adam, W. and Carballeira, N., J. Am. Chem. Soc., 1984,
≠
The ∆V value was corrected for the compressi-
exp
bility of the solvent:
vol. 106, p. 2874.
6
. Kiselev, V.D., Kornilov, D.A., and Konovalov, A.I., Int.
J. Chem. Kinet., 2017, vol. 49, p. 562.
≠
≠
∆V
cor = ∆Vexp + β
T
RT,
(10)
–
4
–1
7. Ohashi, S. and Butler, G.B., J. Org. Chem., 1980,
where β = 1.20× 10 bar is the isothermal com-
T
vol. 45, p. 3472.
pressibility coefficient of ethyl acetate [24].
8
9
. Kiselev, V.D., Shakirova, I.I., Kashaeva, H.A., Potapo-
va, L.N., Kornilov, D.A., Krivolapov, D.B., and Kono-
valov, A.I., Mendeleev Commun., 2013, vol. 23, p. 235.
Reaction volume. The reaction volume (∆V ) was
r.
determined in two ways. The kinetic method allows
determination of reaction volume from correlation (11)
between the density of the reaction solution and
concentration of adduct 3. Reaction volume can also
be determined from the difference in the partial molar
volumes of the product and initial reactants [Eq. (12)]:
. Roy, N. and Lehn, J.-M., Chem. Asian J., 2011, vol. 6,
p. 2419.
1
0. Adam, W., De Lucchi, O., and Hill, K., Chem. Ber.,
1982, vol. 115, p. 1982.
1. Kiselev, V.D., Kornilov, D.A., Anikin, O.V., Latypo-
1
va, L.I., Bermeshev, M.V., Chapala, P.P., and Konova-
lov, A.I., Russ. J. Org. Chem., 2016, vol. 52, p. 777.
12. Kiselev, V.D., Shakirova, I.I., Kornilov, D.A., Kashae-
va, H.A., Potapova, L.N., and Konovalov, A.I., J. Phys.
Org. Chem., 2013, vol. 26, p. 47.
1
/d
τ
= 1/d
0
+ c3,τ ∆V
r
/1000d
0
;
(11)
(12)
∆V
r
= V
3
– V
2
1
– V .
Here, d and d are, respectively, the densities of the
0
τ
reaction solution at the initial moment and at a time τ;
c3 is the current concentration of adduct 3; and V , V ,
1
3. Kiselev, V.D., Kornilov, D.A., Kashaeva, E.A., Potapo-
va, L.N., Sedov, I.A., and Konovalov, A.I., Russ. J. Org.
Chem., 2015, vol. 51, p. 387.
,τ
1
2
and V are the partial molar volumes of compounds
3
1
–3, respectively. The current concentration of 3 was
14. Kiselev, V.D., Kornilov, D.A., Anikin, O.V., Sedov, I.A.,
and Konovalov, A.I., Russ. J. Org. Chem., 2017, vol. 53,
p. 1864.
calculated from the kinetic data. The density of the
reaction mixtures was measured at 25±0.002°C with
an Anton Paar DSA 5000M precision densitometer
with an accuracy of ±2×10 g/cm . The V , V , and V
values were calculated from the densities of solutions
and the solvent.
15. Kiselev, V.D., Kornilov, D.A., Lekomtseva, I.I., Reshet-
–
6
3
nikova, O.Y., and Konovalov, A.I., Russ. J. Org. Chem.,
1
2
3
2
015, vol. 51, p. 382.
1
1
1
6. Kiselev, V.D., Kornilov, D.A., Kashaeva, E.A., Potapo-
va, L.N., Krivolapov, D.B., Litvinov, I.A., and Konova-
lov, A.I., Russ. J. Phys. Chem. A, 2014, vol. 88, p. 2073.
7. High Pressure Chemistry: Synthetic, Mechanistic, and
Supercritical Applications, Van Eldik, R. and
Klärner, F.-G., Eds., Weinheim: Wiley-VCH, 2002.
Heat of reaction. The enthalpy of the reaction
+ 2 → 3 was determined in 1,2-dichloroethane at
5°C using a differential calorimeter according to the
1
2
procedure described in [1, 6]. A weighted amount of
crystalline compound 1 was added to a solution of
β-pinene taken in excess.
8. Desimoni, G., Faita, G., Righetti, P.P., Sfulcini, A., and
Tsyganov, D., Tetrahedron, 1994, vol. 50, p. 1821.
This study was performed under financial support
by the Russian Foundation for Basic Research (project
nos. 16-03-00071, 18-33-00063) and by the Ministry
of Education and Science of the Russian Federation
19. Hall, J.H. and Jones, M.L., J. Org. Chem., 1983, vol. 48,
p. 822.
20. Konovalov, A.I., Breus, I.P., Sharagin, I.A., and Kise-
lev, V.D., Zh. Org. Khim., 1979, vol. 15, p. 361.
(
project no. 4.6223.2017/9.10).
21. Cox, J.D. and Pilcher, G., Thermochemistry of Organic
and Organometallic Compounds, London: Academic,
1970.
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RUSSIAN JOURNAL OF ORGANIC CHEMISTRY Vol. 54 No. 7 2018