972
LEBEDEVA et al.
298.15 K by the volumetric method. The thermo-
dynamic parameters: stability constants Ks (expressed
in the molarity units) and H0 for reactions of TPPZn
with ligands L were calculated from the experimental
titration curves with the aid of KALORY program
4. Planche, L.A. and La Rogers, M.T., J. Am. Chem.
Soc., 1964, vol. 86, no. 2, p. 337.
5. Buehler, C.A. and Pearson, D. E., Survey of Organic
Syntheses, New York: Wiley, 1970, vol. 1. Tran-
slated under the title Organicheskie sintezy, Moscow:
Khimiya, 1973, part 2, p. 384.
[17]. In order to exclude possible local minima of the
2
function (Qnexp
Qncalc
)
(where Qnexp is the
6. Brown, R.S., J. Am. Chem. Soc., 1980, vol. 102,
experimental dependence of the heat effect upon the
number of doses, and Qncalc is the same but calculated
theroretically), the corresponding function profile was
built up and analyzed for each system. In all cases,
the function (Qnexp Qncalc) had the only minimum,
as followed from the dependence of the corresponding
profile. Here, the variance minimum indicated the
best agreement between the calculated and experi-
mental unit heat effects. The presence of a single
minimum pointed to its global character and con-
firmed the reliability of the calculated thermodynamic
parameters.
no. 16, p. 5222.
7. Saito, H., Tanaka, Y., and Nukoda, K., J. Am. Chem.
Soc., 1971, vol. 93, no. 4, p. 1077.
8. Bendetti, D., Blasio, B., and Baine, P., J. Chem.
Soc., Perkin Trans. 2, 1980, no 3, p. 500.
9. Egan, W., Bull, T.E., and Forsen, S., J. Chem. Soc.,
Chem. Commun., 1972, no. 7, p. 1099.
10. Rastvory neelektrolitov v zhidkostyakh (Liquid Solu-
tions of Nonelectrolytes), Krestov, G.A., Ed.,
Moscow: Nauka, 1989.
11. Imai, H. and Kyuno, E., Inorg. Chem., 1990, vol. 29,
no. 10, p. 2416.
Multiparameter correlation equations were drawn
as follows. In keeping with the recommendations
given in [18], the ligand volume was estimated as
algebraic sum of the van der Waals volumes of
particular atoms and bonds. As a measure of charge
mobility in the ligand molecules we used orientational
polarizability calculated according to [19].
12. Marcus, Y., J. Solution Chem., 1984, vol. 13, no. 9,
p. 599.
13. Cox, R.A., Druel, L.M., and Klausner, A.F., Can. J.
Chem., 1981, vol. 59, no. 11, p. 1568.
14. Askarov, K.A., Berezin, B.D., Evstigneeva, R.P.,
Enikolopyan, N.S., Kirillova, G.V., Koifman, O.I.,
Mironov, A.F., Ponomarev, G.V., Semeikin, A.S.,
Khelevina, O.G., and Yatsimirskii, K.B., Porfiriny:
struktura, svoistva, sintez (Porphyrins: Structure,
Properties, and Synthesis), Moscow: Nauka, 1985.
Statistical treatment of the results was performed
following a multilinear regression analysis program.
The quality of the correlations was estimated through
the multiple correlation coefficient R and remainder
variance Sad.
15. Organic Solvents. Physical Properties and Methods of
Purification, Weissberger, A., Proskauer, E.E., Rid-
dick, J.A., and Toops, E.E., Jr., Eds., New York:
Interscience, 1955, 2nd ed.
Physicochemical parameters of the ligands and
thermodynamic parameters of complex formation
were standardized according to [20]. Multiparameter
regresions with normalized variables (Tables 2, 3)
make it possible to estimate the significance of
each particular parameter directly from the regression
coefficient [20].
16. Lebedeva, N.Sh., Mikhailovskii, K.V., and V’yu-
gin, A.I., Zh. Fiz. Khim., 2001, vol. 75, no. 6,
p. 1140.
17. A-tong Chen and Wadso, I., J. Biochem. Biophys.
Meth., 1982, vol. 6, no. 2, p. 307.
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RUSSIAN JOURNAL OF GENERAL CHEMISTRY Vol. 73 No. 6 2003