Abstract
A model explaining the nonlinear dependence of crystal growth on the concentration of the impurity to be adsorbed in solution, impurity particle size, and surface coverage for poorly soluble salts at low supersaturations is proposed. The hypothesis about the adsorption of impurity particles on the terraces of crystals makes it possible to describe the evolution of growth steps using the model of crystallization at the potential relief. Analysis of the potential relief allows us to determine the critical surface coverage and the critical inhibitor concentration at which the crystallization is completely terminated. When the values of the surface coverage are lower than critical, the model predicts the near-exponential dependence of the crystallization rate on the surface coverage and impurity concentration, which agrees with the experimental data reported in the literature.
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Hwa, Ch.M., US Patent 3 431 217, 1969.
Hatch, G.B. and Ralston, P.H., US Patent 3 483 133, 1969.
Tomson, M.B., Fu, G., Watson, M.A., et al., Mechanisms of Mineral Scale Inhibition, SPE Oilfield Scale Symposium, Aberdeen, 2002, p. 120.
El-Shall, H., Rashad, M.M., and Abdel-Aal, E.A., Effect of Phosphonate Additive on Crystallization of Gypsum in Phosphoric and Sulfuric Acid Medium, Cryst. Res. Technol., 2002, vol. 37, p. 1264.
Kan, A.T., Fu, G., Al-Thubaiti, M., et al., A New Approach to Inhibitor Squeeze Design, SPE Int. Symposium on Oilfield Chemistry, Houston, 2003, p. 86.
Chausov, F.F. and Raevskaya, G.A., Kompleksonnyi vodno-khimicheskii rezhim teploenergeticheskikh sistem nizkikh parametrov (Complexone Water Chemistry in Low-Parameter Power-Generating Systems), Izhevsk: RKhD, 2003.
Chausov, F.F., Inhibition of the Growth of Crystals of Alkaline-Earth Metals in Aqueous Solutions: Theory and Industrial Applications, Extended Abstract of Cand. Sci. (Chem.) Dissertation, Nizhni Novgorod: NNTU, 2005.
Dyatlova, N.M., Temkina, V.Ya., and Popov, K.I., Kompleksony i kompleksonaty metallov (Complexones and Metal Complexonates), Moscow: Khimiya, 1988.
Xiao, J.J., Kan, A.T., and Tomson, M.B., The Role of Calcium Phosphino-Polycarboxylate Complexation in Inhibiting BaSO4 Precipitation from Brine, Advances on Crystal Growth Inhibitor Technologies, New York: Kluwer Academic/Plenum Publishers, 1999, p. 165.
Demadis, K.D. and Katarachia, S.D., Metal-Phosphonate Chemistry: Synthesis, Crystal Structure of Calcium-Amino-Tris-(Methylene-Phosphonate) and Inhibition of CaCO3 Crystal Growth, Phosphorus, Sulfur, and Silicon and the Related Elements, 2004, no. 3, p. 627.
Banks, B.W., US Patent 4 112 964, 1978.
Chausov, F.F., Bartenev, O.A., Pletnev, M.A., and Raevskaya, G.A., RF Patent 22 714, 2002.
Chausov, F.F., RF Patent 52 972, 2006.
Chernov, A.A., Givargizov, E.I., Bagdasarov, Kh.S., et al., Sovremennaya kristallografiya: Obrazovanie krystallov (Modern Crystallography: Crystal Formation), Moscow: Nauka, 1980, vol. 3.
Petrova, E.V., Growth and Dissolution of Calcium Oxalate Crystals, Extended Abstract of Cand. Sci. (Phys.-Math.) Dissertation, Moscow: Mosk. Gos. Univ., 2004.
Petrova, E.V., Chernevich, T.G., Shustin, O.A., et al., Non-Kossel Crystal — Calcium Oxalate, Tez. dokl. XI Nats. konf. po rostu kristallov (Proc. XI Conf. on Crystal Growth), Moscow, 2004, p. 142.
Bosbach, D., Rosso, J.J., Becker, U., and Hochella, F.M., Gypsum Growth in the Presence of Background Electrolytes Studied by Scanning Force Microscopy, Geochimica et Cosmochimica, 1996, vol. 60, p. 3295.
Bliznakov, G., Sur Le Mecanisme De L’Action Des Additifs Adsorbants Dans La Croissance Cristalline, in Adsorption et Croissance Cristalline, Paris: Centre National de la Recherche Science, 1965, p. 291.
Kubota, N., Effect of Impurities on the Growth Kinetics of Crystals, Cryst. Res. Technol., 2001, vol. 36, p. 749.
Burton, W.K., Cabrera, N., and Frank, F.C., The Growth of Crystals and the Equilibrium Structure of Their Surfaces, Philos. Trans. R. Soc. London, 1951, vol. A243, p. 299.
Kubota, N. and Mullin, J.W., A Kinetic Model for Crystal Growth from Aqueous Solution in the Presence of Impurity, J. Cryst. Growth, 1995, vol. 152, p. 203.
Driker, B.N., Smirnov, S.V., Tsirul’nikova, N.V., et al., Study into the Physicochemical Properties of Organophosphates and Their Industrial Application, Materialy konf. “Sovremennye tekhnologii vodopodgotovki i zashchity oborudovaniya ot korrozii i nakipeobrazovaniya” (Proc. Conf. on Modern Technologies of Water Treatment and Equipment Protection from Corrosion and Scaling), Moscow: IREA, 2003.
Cabrera, N. and Vermilyea, D.A., The Growth of Crystals from Solution, Growth and Reflection of Crystals, New York: Wiley, 1958, p. 393.
Ambartsumyan, R.V., Mekke, I., and Shtoyan, D., Vvedenie v stokhasticheskuyu geometriyu (Introduction to Stochastic Geometry), Moscow: Nauka, 1989.
Meester, R.W.J. and Roy, R., Continuum Percolation, Cambridge: University Press, 1996.
Shklovskii, B.N. and Efros, A.L., Elektricheskie Svoistva Legirovannykh Poluprovodnikov (The Electrical Properties of Doped Semiconductors), Moscow: Nauka, 1979.
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Original Russian Text © F.F. Chausov, 2008, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2008, Vol. 42, No. 2, pp. 189–197.
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Chausov, F.F. Effect of adsorbed impurities on the crystal growth of poorly soluble salts from slightly supersaturated solutions. Theor Found Chem Eng 42, 179–186 (2008). https://doi.org/10.1134/S0040579508020103
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DOI: https://doi.org/10.1134/S0040579508020103