Abstract
Nucleation rates as indicated by induction period have been studied for supersaturated solutions of potassium dihydrogen orthophosphate with and without the addition of soluble impurities in the temperature range 20 to 40° C. The effects of temperature, supersaturation and impurity content are reported. The interfacial tension, energy of formation and critical radius of nuclei of the crystal are calculated based on classical nucleation theory. The presence of soluble impurities enhances the nucleation rate of potassium dihydrogen orthophosphate crystals.
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Abbreviations
- ΔG :
-
energy of formation of nucleus
- B :
-
a constant
- J :
-
frequency of formation of nuclei
- k :
-
Boltzmann constant
- K :
-
a constant
- m :
-
slope of line plot lnτ against 1/ln2 (X/X 0)
- N :
-
Avogadro's number
- R :
-
gas constant
- r :
-
radius of sphere inscribed in the crystal nucleus in equilibrium with solution
- T :
-
temperature (K)
- U 1 :
-
energy of activation for the molar transition from phase 1 (solution) to phase 2 (crystal)
- v :
-
volume per molecule in solid phase
- V :
-
molar volume of crystal
- x :
-
mole fraction of solute in the supersaturated salt solution at temperaturet
- x 0 :
-
mole fraction of solute in the salt solution saturated at temperaturet
- μ 1 :
-
chemical potential of supersaturated solution
- μ 10 :
-
chemical potential of saturated solution
- μ r :
-
chemical potential of nucleus of radiusr
- μ α :
-
chemical potential of nucleus of infinite radius
- σ :
-
interfacial tension of crystal
- τ :
-
induction period
References
A. E. Nielsen, “Kinetics of Precipitation” (Pergamon, Oxford, 1964).
A. G. Walton, “The Formation and Properties of Precipitates” (Interscience, New York, 1967).
A. C. Zettlemoyer (ed.), “Nucleation” (Dekker, New York, 1969).
A. E. Nielsen, “Crystal Growth”, edited by H. S. Peiser (Pergamon, Oxford, 1967) p. 419.
Idem, Kristall. und Technik 4 (1969) 17.
Idem, Croatica Chem. Acta 42 (1970) 319.
A. E. Nielsen andS. Sarig,J. Crystal Growth 8 (1971) 1.
S. Nagalingam, S. Vasudevan, P. Ramasamy andG. S. Laddha,Kristall. und Technik 15 (1980) 1151.
M. S. Joshi andA. V. Antony,J. Crystal Growth 46 (1979) 7.
U. Dehlinger andE. Wertz,Ann. Physik 39 (1941) 226.
J. Amsler,Helv. Phys. Acta 15 (1942) 699.
M. Volmer andA. Weber,Z. Physik Chem. 119 (1926) 277.
I. N. Stranski andK. Kuleliew,ibid. 142 (1929) 467.
I. N. Stranski andZ. C. Mutaftschiew,ibid. 150 (1930) 135.
B. Vonnecut,Chem. Rev. 44 (1949) 277.
Idem, J. Appl. Phys. 18 (1947) 593.
J. W. Mullin, “Crystallisation” (Butterworths, London, 1972) p. 220.
S. Nagalingam, S. Vasudevan andP. Ramasamy,Kristall Research and Technology 16 (1981) 647.
W. J. Dunning andA. J. Shipman, Proceedings of Agriculture Industry's 10th International Congress, Madrid (1954).
A. Van Hook andA. J. Bruno,Discuss. Faraday Soc. 5 (1949) 112.
A. Felbinger andH. Neels,Kristall. und Technik 1 (1966) 136.
A. Nielsen andO. Söhnel,J. Crystal Growth 11 (1971) 277.
J. W. Mullin andM. M. Osman,Kristall und Technik 8 (1973) 471.
K. Neumann andA. Miess,Ann. Physik 41 (1942) 319.
J. W. Mullin, “Crystallisation” (Butterworths, London, 1972) p. 218.
E. V. Khamskii, Proceedings of the 7th Symposium on Industrial Crystallization, edited by E. J. De Jong and S. J. Jancic (North-Holland, Amsterdam, 1978) p. 105.
J. C. Brice, “The Growth of Crystals from Liquids” (North Holland, Amsterdam, 1973) p. 286.
E. A. Boucher, “Nucleation”, edited by A. C. Zettlemoyer (Marcel Dekker, New York, 1969) p. 536.
O. Söhnel, J. Garside andS. J. Jancic,J. Crystal Growth 39 (1977) 307.
O. Söhnel,Kristall. und Technik 13 (1978) 1162.
J. J. Bikerman,Phys. Status Solidi 10 (1965) 3.
R. C. Tolman,J. Chem. Phys. 17 (1949) 333.
L. Dufour andR. Defay, “Thermodynamics of Clouds” (Academic Press, New York, 1963) p. 60.
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Shanmugham, M., Gnanam, F.D. & Ramasamy, P. Nucleation studies in supersaturated potassium dihydrogen orthophosphate solution and the effect of soluble impurities. J Mater Sci 19, 2837–2844 (1984). https://doi.org/10.1007/BF01026958
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DOI: https://doi.org/10.1007/BF01026958