The Surface Energy and Structure of Nuclei at Calcium Sulfate Dihydrate Crystallization from Aqueous Solutions
Keywords:crystallization, surface energy, concentrations of components, induction period, micelles, photometry
Crystallization of CaSO4 · 2H2O at the varying Ca2+ and the constant SO2−4 ion concentrations has been studied. It is found that the concentration of CaSO04 complexes can exceed the concentration of Ca2+ ions, which influences the crystallization conditions, in particular, the supersaturation. Based on the induction period measurements, the surface energy of nuclei was determined. This parameter was found to change within an interval of 6.4–10.8 mJ/m2 depending on the ratio between the concentrations of Ca2+ ions and CaSO04 complexes. We assume that the surface energy value depends on the prenucleus formation conditions. We adopt that prenuclei are micelles the nuclei of which undergo the recharging when passing from CCa2+ < CSO2−4 to CCa2+ > CCaSO04 > CSO2−4.
Springer Handbook of Crystal Growth, edited by G. Dhanaraj, K. Byrappa, V. Prasad, M. Dudley (Springer, 2010).
Zhilong Zhu, You Peng, T.A. Hatton, K. Samrane, A.S. Myerson, R.D. Braatz. Crystallization of calcium sulphate during phosphoric acid production: Modeling particle shape and size distribution. Procedia Eng. 138, 390 (2016).
M. Mwaba, C. Rindt, A. van Steenhoven. Experimental investigation of CaSO4 crystallization on a flat plate. Heat Transf. Eng. 27, 42 (2006).
A.M. Pritchard. Deposition of hardness salts. In: Fouling Science and Technology. Edited by L.F. Melo, T.R. Bott, C.A. Bernardo (Kluwer, 1988), p. 261.
T.M. Stawski, A.E.S. van Driessche, M. Ossorio, J.D. Rodriguez-Blanco, R. Besselink, L.G. Benning. Formation of calcium sulfate through the aggregation of sub-3 nanometre primary species. Nat. Commun. 7, 11177 (2016).
O.D. Linnikov. Investigation of the initial period of sulphate scale formation. Part 1. Kinetics and mechanism of calcium sulphate surface nucleation at its crystallization on a heat exchange surface. Desalination 122, 1 (1999).
V.R. Gayevskyi, V.Z. Kochmarskyi. Improving the Efficiency of Reversible Cooling Systems by Minimizing Calcium-Carbonate Deposits (NUVGP, 2018) (in Ukrainian).
V. Kochmarskii, V. Melnyk. Formation of calcium carbonate from model solutions. Theoretical and experimental investigations. In: Scientific Development and Achievements (Science Publishing, 2018), Vol. 4, p. 138.
M. Volmer. Kinetic der Phasenbildung (Steinkopff, 1939).
V. R. Gajevskiy. Electric conductivity of carbon dioxide aqueous solutions. Ukr. J. Phys. 60, 258 (2015). https://doi.org/10.15407/ujpe60.03.0258
L.G. Sillen, A.E. Martell, J. Bjerrum. Stability Constants of Metal-Ion Complex (Royal Society of Chemistry, 1964).
V.A. Rabinovich, Z.Ya. Khavin. Brief Chemical Handbook (Khimiya, 1978) (in Russian).
L. Meites. Handbook of Analytical Chemistry (McGraw Hill, 1963). https://doi.org/10.1097/00010694-196311000-00019
A. Hina, G.H. Nancollas, M. Grynpas. Surface induced constant composition crystal growth kinetics studies. The brushite-gypsum system. J. Cryst. Growth 223, 213 (2001). https://doi.org/10.1016/S0022-0248(00)01026-5
Ju. Lurie. Handbook of Analytical Chemistry (Mir Publishers, 1975).
V.Z. Kochmarskii, V.R. Gayevskii, N.L. Tyshko. Calcium carbonate crystallization from hydrocarbonate solution. Ukr. J. Phys. 62, 382 (2017). https://doi.org/10.15407/ujpe62.05.0382
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