Abstract
Based on the concept of the proton hydrate-anion complex [H(H2O)n]+A−, equations are proposed that characterize the catalytic activity of the proton in aqueous solutions of three acids: sulfuric, hydrochloric, and chloric. The equations are based on the linear dependence of the value of “excessive acidity” on the logarithm of the relative stoichiometric concentration of water Х = f(log C*w) in acid solutions with a predominance of water (Н2О/НА > 1). Using the directly proportional dependence of the Hammett function (–H0) on the sum of parameters (log C*H+ + mX), two-parameter equations were obtained for calculating the complex function of acidity –Hw0 = log C*H+ + Blog C*w (standard state—pure water, C0w). The equations make it possible to calculate the function Hw0 at a given acid concentration, having only data on the concentrations of the proton CH+ and water Hw0, i.e. avoiding the use of the ratio of the activity coefficients of the components included in parameter X. The function Hw0 collectively reflects the participation of proton and water in the acidity of the medium, practically reproduces the experimental values of H0 obtained by different authors in the concentration range from pure water to 68 wt % (H2SO4), 40% (HCl), 70% (HClO4), combines the pH and H0 scales. It is concluded that the Blog Hw0 contribution, which characterizes the participation of water in the hydration shells of ions, is determined by their nature and plays no less important role in characterizing the acidity of the medium than the proton itself. The final tables of the concentration dependence of the values Hw0 for each of the acids are given. The paper represents a methodological review, since it is based on a critical analysis of experimental literature data.
Notes
Cw—stoichiometric water concentration (analytical concentration of H2O in a two-component H2O/HA system, expressed in mol/L and reduced to normal conditions).
The state of pure solvent (water) at 298.15 K is taken as the standard state of water (C0w = 1000 cm3·0.99705 g/cm3/ 18.01153 g/mol = 55.34462mol; log C0w = 1.74308).
The activity of water is the result of its corrected concentration on the activity coefficient, which takes into account a decrease in the vapor pressure of water over an acid solution compared with the vapor pressure over clean water and, in turn, an supposed decrease in its real concentration due to the formation of H-bonds with an excess proton and other ions of the medium.
In the case of sulfuric acid, parameter B reflects the total effect of the anions: HSO4– and the doubly charged anion SO42–, which reaches a maximum concentration of 56% H2SO4.
REFERENCES
Smith, M.B. and March, J., March’s Advanced Organic Chemistry Reactions, Mechanisms and Structure, 6th ed.; New York: Wiley, 2006, ch. 11.
Chorkendorff, I. and Niemantsverdriet, J.W., Concepts of Modern Catalysis and Kinetics. Third Completely Revised and Enlarged Edition, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim. Germany, 2017.
Berezin, D.B., Shuhto, O.V., Syrbu, S.A., and Koifman, O.I., Organicheskaya khimiy (Organic Chemistry), Moscow: Lan, 2014.
Klumpp, D.A., Electrophilic Aromatic Substitution in Arene Chemistry: Reaction Mechanisms and Methods for Aromatic Compounds, Mortier, J., Ed., New Jersey: John Wiley & Sons, 2016..
Stuyver, Th., Danovich, D., De Proft, F., and Shaik, S., J. Am. Chem. Soc., 2019, vol. 141, no. 24, pp. 9719–9730. https://doi.org/10.1021/jacs.9b04982
Marx, D., Tuckerman, M.E., Hutter, J., and Parrinello, M., Nature, 1999, vol. 397, pp. 601−604. https://doi.org/10.1038/17579
Silverstein, T.P., J. Chem. Educ., 2011, vol. 88, p. 875. https://doi.org/10.1021/ed1010213
Knight, C. and Voth, G.A., Acc. Chem. Res., 2012, vol. 45, pp. 101–109. https://doi.org/10.1021/ar200140h
Reed, C.A., Acc. Chem. Res., 2013, vol. 46, pp. 2567–2575. https://doi.org/10.1021/ar400064q
Peng, Y., Swanson, J.M.J., Kang, S., Zhou, R., and Voth, G.A., J. Phys. Chem. B, 2015, vol. 119, pp. 9212–9218. https://doi.org/10.1021/jp5095118
Agmon, N., Bakker, H.J., Campen, R.K., Henchman, R.H., Pohl, P., Roke, S., Thämer, M., and Hassanali, A., Chem. Rev., 2016, vol. 116, pp. 7642–7672. https://doi.org/10.1021/acs.chemrev.5b00736
Paenurk, E., Kaupmees, K., Himmel, D., Kutt, A., Kaljurand, I., Koppel, I.A., Krossing, I., and Leito, I., Chem. Sci., 2017, vol. 8, pp. 6964–6973. https://doi.org/10.1039/C7SC01424D
Klare, H.F.T. and Oestreich, M., J. Am. Chem. Soc., 2021, vol. 143, no. 38, pp. 15490–15507. https://doi.org/10.1021/jacs.1c07614
Calio, P.B., Li, Ch., and Voth, G.A., J. Am. Chem. Soc., 2021, vol. 143, no. 44, pp. 18672–18683. https://doi.org/10.1021/jacs.1c08552
Librovich, N.B. and Kislina, I.S., Kinet. Catal., 2002, vol. 43, no. 1, pp. 51–55.
Basilevsky, M.V. and Vener, M.V., Russ. Chem. Rev., 2003, vol. 72, no. 1, pp. 1–33. https://doi.org/10.1070/RC2003v072n01ABEН000774
Gutowski, K.E. and Dixon, D.A., J. Phys. Chem. A, 2006, vol. 110, pp. 12044–12054. https://doi.org/10.1021/jp065243d
Cox, R.A., Intern. J. Mol. Sci., 2011, pp. 8316–8332. https://doi.org/10.3390/ijms12128316
Cox, R.A., Adv. Phys. Org. Chem., 2012, vol. 46, pp. 1–55. https://doi.org/10.1016/B978-0-12-398484-5.00001-8
Kozlov, V.A., Ivanov, S.N., Koifman, O.I., J. Phys. Org. Chem., 2017, vol. 29, pp. 1–29. https://doi.org/10.1002/poc.3715
Trummal, A., Lipping, L., Kaljurand, I., Koppel, I.A., and Leito, I., J. Phys. Chem. A, 2016, vol. 120, no. 20, pp. 3663–3669. https://doi.org/10.1021/acs.jpca.6b02253
Ivanov, S.N., Kozlov, V.A., and Koifman, O.I., J. Sol. Chem., 2021, vol. 5, no. 5, pp. 630–651. https://doi.org/10.1007/s10953-021-01066-7
Voth, G.A., Acc. Chem. Res., 2006, vol. 39, no. 2, pp. 143–150. https://doi.org/10.1021/ar0402098
Isaev, A.N., Ross. Khim. Zh., 2007, vol. 51, no. 5, pp. 34–48.
Silverstein, T.P., Front. Mol. Biosci., 2021, vol. 8. Art. 764099. https://doi.org/10.3389/fmolb.2021.764099
Kozlov, V.A., Nikiforova, T.E., Loginova, V.A., and Koifman, O.I., J. Hazard. Mat., 2015, vol. 299, pp. 725–732. https://doi.org/10.1016/j.jhazmat.2015.08.004
Cerfontain, H., Mechanistic Aspects in Aromatic Sulfonation and Desalfonation, New York: Inter science, 1968, ch. 2, pp. 13–45.
Vinnik, M.I. and Abramovich, L.D., Izv. Akad. Nauk SSSR, Ser. Khim., 1972, no. 4, pp. 834–840.
Smirnov, A.I. and Vinnik, M.I., Zh. Fiz. Khim., 1979, vol. 53, no. 5, pp. 1247–1252.
Kozlov, V.A. and Popkova, I.A., Zh. Org. Khim., 1980, vol. 16, no. 1, pp. 106–110.
Kozlov, V.A. and Popkova, I.A., Zh. Org. Khim., 1982, vol. 18, no. 4, pp. 881–886.
Kozlov, V.A. and Bagrovskaya, N.A., Zh. Org. Khim., 1986, vol. 22, no. 6, pp. 1228–1236.
Koleva, G., Galabov, B., Kong, J., Schaefer, H.F., and Schleyer, P., J. Am. Chem. Soc., 2011, vol. 133, no. 47, pp. 19094–19101. https://doi.org/10.1021/ja201866h
Galabov, B., Nalbantova, D., Schleyer, P.R., and Schaefer, H.F.III, Acc. Chem. Res., 2016, vol. 49, no. 6, pp. 1191–1199. https://doi.org/10.1002/chin.201635190
Ivanov, S.N., Gnedin, B.G., and Shhukina, M.V., Zh. Org. Khimi., 1988, vol. 24, no. 4, pp. 810–817.
Ivanov, S.N., Kislov, V.V., and Gnedin, B.G., Zh. Obshch. Khim., 1998, vol. 68, no. 7, pp. 1123−1128.
Paddison, S.J. and Elliott, J.A., Solid State Ion., 2006, vol. 177, pp. 2385–2390. https://doi.org/10.1016/j.ssi.2006.03.015
Dobrovol’skii, Yu.A., Volkov, E.V., Pisareva, A.V., Fedotov, Yu.A., Likhachev, D.Yu., and Rusanov, A.L., Russ. J. Gen. Chem., 2007, vol. 77, no. 4, pp. 766–777. https://doi.org/10.1134/S1070363207040378
Agmon, N. and Gutman, M., Nat. Chem., 2011, vol. 3, pp. 840−842. https://doi.org/10.1038/nchem.1184
Feng, S. and Voth, G.A., J. Phys. Chem. B, 2011, vol. 115, no. 19, pp. 5903–5912. https://doi.org/10.1021/jp2002194
Savage, J. and Voth, G.A., J. Phys. Chem. C, 2016, vol. 120, pp. 3176−3186.
Mabuchi, T. and Tokumasu, T., J. Phys. Chem. B, 2018, vol. 122, pp. 5922–5932. https://doi.org/10.1021/acs.jpcb.8b02318
Weichselbaum, E., Galimzyanov, T., Batishchev, O.V., and Akimov, S.A., Pohl P. Biomolecules, 2023, no. 13(2), p. 352. https://doi.org/10.3390/biom13020352.PMID:
Hammett, L.P., Physical Organic Chemistry, New York, 1940.
Jorgenson, M.J. and Hartter, D.R., J. Am. Chem. Soc., 1963, vol. 85, pp. 878−883. https://doi.org/10.1021/ja00890a009
Robertson, E.B. and Dunford, H.B., J. Am. Chem. Soc., 1964, vol. 86, no. 23, pp. 5080–5089. https://doi.org/10.1021/ja01077a007
Vinnik, M.I., Usp. Khim., 1966, vol. 35, pp. 1922–1952.
Rochester, C.H., Acidity Functions, New York: Acad. Press, 1970.
Johnson, C.D., Katritzky, A.R., and Shapiro, S.A., J. Am. Chem. Soc., 1969, vol. 91, pp. 6654–6652. https://doi.org/10.1021/ja01052a021
Bates, R.G., Determination of pH. Theory and Practice, New York: John Wiley & Sons, 1964.
Bell, R.P., The Proton in Chemistry, London: Chapman and Hall, 1973.
Himmel, D., Goll, S.K., Leito, I., and Krossing, I., Angew. Chem. Int. Ed., 2010, vol. 49, pp. 6885–6888. https://doi.org/10.1002/anie.201000252
Scorrano, G. and More OFerrall, R., J. Phys. Org. Chem., 2013, no. 26, pp. 1009–1015. https://doi.org/10.1002/poc.3171
Popkova, I.A. and Kozlov, V.A., Izv. Vuzov, Ser. Khim. Khim. Tekhnol., 1986, vol. 29, no. 2, pp. 29–33
Epshtejn, L.M. and Iogansen, A.V., Usp. Khim., 1990, vol. 59, no. 2, pp. 229–257.
Oliferenko, P.V., Oliferenko, A.A., Poda, G., Palyulin, V.A., Zefirov, N.S., and Katritzky, A.R., J. Chem. Inform. Model., 2009, vol. 49, no. 3, pp. 634–646. https://doi.org/10.1021/ci800323q
Uchnevich, G.V., Tarakanova, E.G., Mayorov, V.D., and Librovich, N.B., Russ. Chem. Rev., 1995, vol. 64, pp. 901–911. https://doi.org/10.1070/RC1995v064n10ABEН000183
Palascak, M.W. and Shields, G.C., J. Phys. Chem. A, 2004, vol. 108, pp. 3692–3694. https://doi.org/10.1021/jp049914o
Camaioni, D.M. and Schwerdtfege, Ch.A., J. Phys. Chem. A, 2005, vol. 109, pp. 10795–10797. https://doi.org/10.1021/jp054088k
Tarakanova, E.G., Yukhnevich, G.V., and Librovich, N.B., Khim. Fiz., 2005, vol. 24, no. 6, p. 44.
Headrick, J.M., Science, 2005, vol. 308, pp. 1765–1769. https://doi.org/10.1126/science.1113094
Kelly, C.P., Cramer, Ch.J., and Truhlar, D.G., J. Phys. Chem. B, 2006, vol. 110, pp. 16066–16081. https://doi.org/10.1021/jp063552y
Markovitch, O. and Agmon, N., J. Phys. Chem. A, 2007, vol. 111, no. 12, pp. 2253–2256. https://doi.org/10.1021/jp068960g
Park, M., Shin, I., Singh, N.J., and Kim, K.S., J. Phys. Chem. A, 2007, vol. 111, pp. 10692−10702. https://doi.org/10.1021/jp073912x
Wang, F., Izvekov, S., and Voth, G.A., J. Am. Chem. Soc., 2008, vol. 130, no. 10, pp. 3120–3126. https://doi.org/10.1021/ja078106i
Vener, M.V. and Librovich, N.B., Intern. Rev. Phys. Chem., 2009, vol. 28, pp. 407–434. https://doi.org/10.1080/01442350903079955
Swanson, J.M.J. and Simons, J., J. Phys. Chem. B, 2009, vol. 113, pp. 5149−5161. https://doi.org/10.1021/jp810652v
Librovich, N.B., Kislina, I.S., and Tarakanova, E.G., J. Phys. Chem., 2009, vol. 3, pp. 136–139. https://doi.org/10.1134/S1990793109010217
Stoyanov, E.S., Stoyanova, I.V., and Reed, C.A., J. Am. Chem. Soc., 2010, vol. 132, pp. 1484–1485. https://doi.org/10.1021/ja9101826
Stoyanov, E.S. and Stoyanova, I.V., Reed, C.A., Chem. Sci., 2011, pp. 462–472. https://doi.org/10.1039/C0SC00415D
Kulig, W. and Agmon, N.J., J. Phys. Chem. B, 2014, vol. 118, pp. 278–286. https://doi.org/10.1021/jp410446d
Meraj, G. and Chaudhari, A., J. Mol. Liq., 2014, vol. 190, pp. 1–5. https://doi.org/10.1016/j.molliq.2013.10.006
Yu, Q. and Bowman, J.M., J. Am. Chem. Soc., 2017, vol. 139, pp. 10984–10987. https://doi.org/10.1021/jacs.7b05459
Bednyakov, A.S., Stepanov, N.F., and Novakovskaya, Yu.V., Russ. J. Phys. Chem. A, 2014, vol. 88, pp. 287–294. https://doi.org/10.1134/S0036024414010051
Thämer, M., De Marco, L., Ramasesha, K., Mandal, A., and Tokmakoff, A., Science, 2015, vol. 350, pp. 78–82. https://doi.org/10.1126/science.aab3908
Fournier, J.A., Carpenter, W.B., Lewis, N.H.C., and Tokmakoff, A., Nature Chemistry, 2018, vol. 10, pp. 932–937. https://doi.org/10.1038/s41557-018-0091-yi
Biswas, R. and Voth, G.A., J. Chem. Sci., 2017, vol. 129, pp. 1045–1051. https://doi.org/10.1007/s12039-017-1283-5
Zeng, Y., Li, A., and Yan, T., J. Phys. Chem. B, 2020, vol. 124, no. 9, pp. 1817–1823. https://doi.org/10.1021/acs.jpcb.0c00990
Ryding, M.J., Izsák, R., Merlot, P., Reine, S., Helgaker, T., and Uggerud, E., Phys. Chem. Chem. Phys., 2015, vol. 17, pp. 5466–5473. https://doi.org/10.1039/c4cp05246c
Siwick, B.J. and Bakker, H.J., J. Am. Chem. Soc., 2007, vol. 129, no. 44, pp. 13412–13420. https://doi.org/10.1021/ja069265p
Pettersson, L.G.M., Henchman, R.H., and Nilsson, A., Chem. Rev., 2016, vol. 116, pp. 459–462. https://doi.org/10.1021/acs.chemrev.6b00363
Lockwood, G.K. and Garofalini, S.H., J. Phys. Chem. B, 2013, vol. 117, pp. 4089−4097. https://doi.org/10.1021/jp310300x
Kazansky, V.B., Catalysis Today, 2002, vol. 73, pp. 127–137. https://doi.org/10.1016/S0920-5861(01)00506-5
Park, M., Shin, I., Singh, N.J., and Kim, K.S., J. Phys. Chem. A, 2007, vol. 111, no. 42, pp. 10692– 702. https://doi.org/10.1021/jp073912x
Buch, V., Dubrovskiy, A., Mohamed, F., Parrinello, M., Sadlej, J., Hammerich, A.D., and Devlin, J.P., J. Phys. Chem. A, 2008, vol. 112, pp. 2144–2161. https://doi.org/10.1021/jp076391m
Fulton, J.L. and Balasubramanian, M., J. Am. Chem. Soc., 2010, vol. 132, no. 36, pp. 12597–12604. https://doi.org/10.1021/ja1014458
Lin, W. and Paesani, F., J. Phys. Chem. A, 2013, vol. 117, no. 32, pp. 7131–714. https://doi.org/10.1021/jp400629t
Ivanov, S.N., Gnedin, B.G., Zh. Org. Khim., 1989, vol. 25, no. 4, pp. 831–835.
Shilov, E.A., Kinet. Katal, 1938, vol. I8, no. 9, pp. 643–648.
Ivanov, S.N., Kislov, V.V., and Gnedin, B.G., Russ. J. Gen. Chem., 2004, vol. 74, no. 1, 2004, pp. 86–94. https://doi.org/10.1023/B:RUGC.0000025174.83443
Ivanov, S.N., Mikhajlov, A.V., Gnedin, B.G., Lebedukho, A.Yu., and Korolev, V.P., Kinet. Katal., 2005, vol. 46, no. 1, pp. 35–43. https://doi.org/10.1007/PL00021981
Ivanov, S.N., Kislov, V.V., and Gnedin, B.G., Russ. J. Gen. Chem., 2004, vol. 74, no. 1, pp. 95–100.
Ivanov, S.N., Mikhajlov, A.V., Gnedin, B.G., and Korolev, V.P., Zh. Fiz. Khim., 2004, vol. 78, no. 4, pp. 615–621.
Leopold, K.R., Ann. Rev. Phys. Chem., 2011, vol. 62, pp. 327–349. https://doi.org/10.1146/annurev-physchem-032210-103409
Fraenkel, D., J. Phys. Chem. B, 2012, vol. 116, pp. 11662–11677. https://doi.org/10.1021/jp3060334
Fraenkel, D., J. Phys. Chem. B, 2012, vol. 116, pp. 11678–11686. https://doi.org/10.1021/jp306042q
Thaunay, F., Hassan, A.A., Cooper, R.J., Williams, E.R., Clavaguera, C., and Ohanessian, G., Int. J. Mass Spectr., 2017, vol. 418, pp. 15–23. https://doi.org/10.1016/j.ijms.2017.01.005
Blades, A.T. and Kebarle, P., J. Phys. Chem. A, 2005, vol. 109, pp. 8293–8298. https://doi.org/10.1021/jp0540353
Kulichenko, M., Fedik, N., Bozhenko, K.V., Boldyrev, A.I., J. Phys. Chem. B, 2019, vol. 123, pp. 4065–4069. https://doi.org/10.1021/acs.jpcb.9b01744
Bing, G. and Zhi–feng, L., J. Chem. Phys., 2005, vol. 123, pp. 224302. https://doi.org/10.1063/1.2134698
Kozlov, V.A., Bagrovskaya, N.A., and Berezin, B.D., Izv. Vuzov SSSR, Khim Khim. Tekhnol., 1985, vol. 28, no. 2, pp. 34–37.
Dupont, D., Raiguel, S., and Binnemansa, K., Chem. Commun., 2015, vol. 51, pp. 9006–9009 https://doi.org/10.1039/C5CC02731D
Shan, W., Yang, Q., Su, B., Bao, Z., Ren, Q., and Xing, H., J. Phys. Chem. C, 2015, vol. 119, pp. 20379–20388. https://doi.org/10.1021/acs.jpcc.5b02814
Cox, R.A., Adv. Phys. Org. Chem., 2000, no. 35, pp. 1–66. ISBN 0-12-033535-2
Cox, R.A. and Yates, K., Can. J. Chem., 1981, vol. 59, pp. 2116–2124. https://doi.org/10.1139/v81-306
Ivanov, S.N., Gnedin, B.G., and Shhukina, M.V., Zh. Org. Khim., 1990, vol. 26, no. 4, pp. 1415–1422.
Popkova, I.A. and Kozlov, V.А., Zh. Obshch. Khim., 1988, vol. 58, pp. 877–880.
Fadeeva, Y.A., Nikolaeva, A.V., Safonova, L.P., J. Mol. Liq., 2014, vol. 193, pp. 1–5. https://doi.org/10.1016/j.molliq.2013.12.010
Bentley, T.W., Can. J. Chem., 2008, vol. 86, pp. 277–280. https://doi.org/10.1139/V08-003
Cox, R.A., Can. J. Chem., 2012, vol. 90, pp. 811–818. https://doi.org/10.1139/v2012-060
Marcus, Y., Ions in Water and Biophysical Implications, Dordrecht: Springer Science + Business Media, 2012. https://doi.org/10.1007/978-94-007-4647-3
Yates, K. and Wai, H., J. Am. Chem. Soc., 1964, vol. 86, pp. 5408–5413. https://doi.org/10.1021/ja01078a008
Alongi, K.S. and Shields, G.C., Comp. Chem., 2010, vol. 6. https://doi.org/10.1016/S1574-1400(10)06008-1
Walrafen, G.E., Yang, W.H., Chu, Y.C., Hokmabadi, M.S., J. Sol. Chem., 2000, vol. 29, pp. 905–936. https://doi.org/10.1023/A:1005134717259
Ivanov, S.N., Kozlov, V.A., Vestn. IvGU, Matematika, Biologiya. Khimiya, 2022. N. 2, pp. 34–40.
Erokhina, E., Dymnikova, N., and Moryganov, A., Ross. Khim. Zh., 2022, vol. 66(4), pp. 6–13. https://doi.org/10.6060/rcj.2022664.1
Genis, A. and Kuznetsov, A., Ross. Khim. Zh., 2020, vol. 63(1), pp. 27–45. https://doi.org/10.6060/rcj.2019631.2
Meretin, R.N. and Nikiforova, Т.E., Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol., 2021, vol. 64, no. 11, pp. 117–125. https://doi.org/10.6060/ivkkt.20216411.6408
Drogobuzhskaya, S.V., Shirokaya, A.A., and Solov’ev, S.A., Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol., 2019, vol. 62, no. 11, pp. 117–125. https://doi.org/10.6060/ivkkt.20196211.5982
Cao Nhat Linh, Zyablov, A.N., Duvanova, O.V., and Selemenev, V.F., Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol., 2020, vol. 63, no. 2, pp. 71–76. https://doi.org/10.6060/ivkkt.20206302.6071
Cw—stoichiometric water concentration (analytical concentration of H2O in a two-component H2O/HA system, expressed in mol/L and reduced to normal conditions).
The state of pure solvent (water) at 298.15 K is taken as the standard state of water (C0w = 1000 cm3·0.99705 g/cm3/ 18.01153 g/mol = 55.34462mol; log C0w = 1.74308).
The activity of water is the result of its corrected concentration on the activity coefficient, which takes into account a decrease in the vapor pressure of water over an acid solution compared with the vapor pressure over clean water and, in turn, an supposed decrease in its real concentration due to the formation of H-bonds with an excess proton and other ions of the medium.
In the case of sulfuric acid, parameter B reflects the total effect of the anions: HSO4– and the doubly charged anion SO42–, which reaches a maximum concentration of 56% H2SO4.
Funding
This work was supported by ongoing institutional funding. No additional grants to carry out or direct thisparticular research were obtained.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
No conflict of interest was declared by the authors.
Additional information
Publisher's Note. Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ivanov, S.N., Kozlov, V.A., Nikiforova, T.E. et al. Hydrate-Anion Complex of Proton [H(H2O)n]+А− as the Basis of the Complex Acidity Function Н0w of Aqueous Solutions of Strong Mineral Acids in Excess of Water. Russ J Gen Chem 93, 3207–3223 (2023). https://doi.org/10.1134/S1070363223120216
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1070363223120216