REACTIVITY OF PHOSPHORUS ESTERS IN SUPRAMOLECULAR SYSTEMS
505
1
2. Berezin, I.V., Martinek, K., and Yatsimirskii, A.K., Usp.
Khim., 1973, vol. 42, no. 10, p. 1729.
Γmax
=
lim(∂π/∂logc),
(3)
2.3nR T
c→CMC
3. Dwars, T., Paetzold, E., and Oehme, G., Angew. Chem.,
Int. Ed., 2005, vol. 44, no. 44, p. 7174.
4. Molecular Encapsulation: Organic Reactions in Con-
strained Systems, Brinker, U.H. and Mieusset, J.L.,
Eds., Chichester: Wiley, 2010.
5. Rico-Lattes, I., Perez, E., Franceschi-Messant, S., and
Lattes, A., C.R. Chim., 2011, vol. 14, p. 700.
6. Khan, M.N., Micellar Catalysis, Boca Raton: CRC,
Here, π is the surface pressure equal to the differ-
ence in the surface tensions of a pure solvent and
a solution with a given surfactant concentration (π =
γ0 – γ). The constant n is equal to 2 for ionic surfac-
tants consisting of a singly charged micelle-forming
ion and counterion, and n = 3 for dimeric surfactants
consisting of a doubly charged micelle-forming ion
and two singly charged counterions.
2007.
7. Zakharova, L.Ya., Ibragimova, A.R., Valeeva, F.G.,
Zakharov, A.V., Mustafina, A.R., Kudryavtseva, L.A.,
Harlampidi, H.E., and Konovalov, A.I., Langmuir, 2007,
vol. 23, no. 6, p. 3214.
8. Voronin, M.A., Valeeva, F.G., Zakharova, L.Ya.,
Giniyatullin, R.Kh., Semenov, V.E., and Reznik, V.S.,
Kinet. Katal., 2010, vol. 51, no. 5, p. 670.
9. Zakharova, L.Ya., Semenov, V.E., Voronin, M.A.,
Valeeva, F.G., Giniatullin, R.Kh., Kudryavtseva, L.A.,
Reznik, V.S., and Konovalov, A.I., Mendeleev Com-
mun., 2008, vol. 18, no. 3, p. 158.
The minimum surface area per surfactant molecule
(Amin), the free energy of micelle formation (ΔGm), and
the standard free energy of adsorption (ΔGad) were
calculated by formulas (4) and (5):
1018
Amin
=
;
(4)
(5)
N Γmax
ΔGm = (1 + β)RTln(CMC),
where N is the Avogadro number, and β is the degree
of counterion binding.
10. Jencks, W.P., Catalysis in Chemistry and Enzymology,
New York: McGraw–Hill, 1969.
The specific electrical conductivity was measured
using an Inolab conductometer (Germany). The con-
centration of free bromide ions was determined with
the aid of an I-160MI ionometer using an ELIS-131Br
bromide-selective electrode and an ESR-10101 refer-
ence electrode. The concentration of bromide ions was
calculated from the known Nernst equation (6) which
relates the electrode potential (ΔE) to the activity of
11. Yang, Y. and Bakker, J., Chem. Rev., 1992, vol. 92,
no. 8, p. 1729.
12. Franke, S., Franz, P., and Warnke, W., Lehrbuch der
Militärchemie, Berlin: Deutscher Militärverlag, 1967.
13. Zakharova, L.Ya., Syakaev, V.V., Voronin, M.A.,
Semenov, V.E., Valeeva, F.G., Ibragimova, A.R., Bila-
lov, A.V., Giniyatullin, R.Kh., Latypov, Sh.K., Rez-
nik, V.S., and Konovalov, A.I., J. Colloid Interface Sci.,
2010, vol. 342, p. 119.
bromide ions (aBr ):
–
14. Voronin, M.A., Gabdrakhmanov, D.R., Semenov, V.E.,
Valeeva, F.G., Mikhailov, A.S., Nizameev, I.R., Kadi-
rov, M.K., Zakharova, L.Ya., Reznik, V.S., and Kono-
valov, A.I., ACS Appl. Mater. Interfaces, 2011, vol. 3,
p. 402.
15. Zakharova, L.Ya., Voronin, M.A., Gabdrakhma-
nov, D.R., Semenov, V.E., Giniyatullin, R.Kh., Syaka-
ev, V.V., Latypov, Sh.K., Reznik, V.S., Konovalov, A.I.,
and Zuev, Yu.F., ChemPhysChem, 2012, vol. 13, p. 788.
RT
F
ΔE = –
log(aBr–) + const.
(6)
Here, R is the universal gas constant, T is the
temperature, and F is the Faraday constant; in an ideal
case, the slope of this dependence RT/F = 59.2 mV×
equiv–1 at 298.2 K.
This study was performed under financial support
by the Russian Foundation for Basic Research (project
no. 13-03-00709).
16. O’Brien, R.D., Toxic Phosphorus Esters: Chemistry,
Metabolism, and Biological Effects, New York:
Academic, 1960.
17. Zakharova, L.Ya., Semenov, V.E., Voronin, M.A.,
Valeeva, F.G., Giniatullin, R.Kh., Syakaev, V.V., Laty-
pov, Sh.K., Reznik, V.S., and Konovalov, A.I.,
Mendeleev Commun., 2010, vol. 20, p. 116.
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RUSSIAN JOURNAL OF ORGANIC CHEMISTRY Vol. 50 No. 4 2014