2003
DOI: 10.1016/s0016-7037(02)01166-3
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Supersaturation functions in binary solid solution–aqueous solution systems

Abstract: Abstract-In this paper, we present a brief review of the thermodynamic equilibrium of binary solid solution-aqueous solution (SS-AS) systems and derive an expression that allows us to evaluate the supersat uration or undersaturation of a given aqueous solution with respect to the whole range of solid compositions: the o(x) function. Such an expression is based on the two conditions that define the SS-AS thermodynamic equilibrium. The derivation of the new supersaturation function, o(x), was made by considering… Show more

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Cited by 47 publications
(30 citation statements)
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“…The retardation of the step velocity for each subsequent layer has been sys tematically examined as a function of aqueous solution concentration, together with calculations of the supersaturation of the aqueous solution with respect to the whole solid solution, using methods described by Astilleros et al [17]. All the results indicate that the growth of the first mono- layer on the original substrate produces a new surface with modified properties, most likely due to compositional differences with respect to the initial surface and the resultant lattice misfits.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The retardation of the step velocity for each subsequent layer has been sys tematically examined as a function of aqueous solution concentration, together with calculations of the supersaturation of the aqueous solution with respect to the whole solid solution, using methods described by Astilleros et al [17]. All the results indicate that the growth of the first mono- layer on the original substrate produces a new surface with modified properties, most likely due to compositional differences with respect to the initial surface and the resultant lattice misfits.…”
Section: Resultsmentioning
confidence: 99%
“…For SS-AS systems, supersaturation cannot be expressed by a unique value, but is a function of the composition of both solid and aqueous phases (see Fig. 4, [17]). In fact, an aqueous solution can be undersaturated with respect to a pure phase and supersaturated with respect to a more soluble solid solution.…”
Section: Discussionmentioning
confidence: 99%
“…the aqueous ion activ ity product at equilibrium. Applying this expression to the binary solid solution BaxSr' -xS04, and taking into account the Lippmann and Debye -Hiickel methods (extensively described in Glynn & Reardon (1990) and in Prieto et al (1989,1991 ) Recently, an alternative, more general expression for supersaturation has been derived directly from the two conditions of thermodynamic equilibrium for such systems (5.1) (Astilleros et al 2002). If the composition of a given aqueous solution is expressed as an activity fraction [Ba2+] I[Ba2+] +[Sr2+], then one such composition will lie on the solutus line of the Lippmann diagram in equilibrium with a solid whose composition lies on the solidus line and has an activity fraction of BaS04 in the solid solution of X�� S04.…”
Section: (B) Supersaturation In Ss-as Systemsmentioning
confidence: 99%
“…Only relatively recently have there been significant advances in understanding the thermodynamics of such solid-solution -aqueous-solution (SS -AS) systems (Lippmann 1980(Lippmann , 1982Glynn & Reardon 1990). The way in which the supersaturation of a given aqueous solution should be defined, relative to all possible solid-solution compositions, is still contro versial (Prieto et al 1993;Pina et al 2000;Astilleros et al 2002). For the thermo dynamic representation of SS -AS systems, the mixing properties of the solid solution as well as the aqueous solution must be known.…”
Section: Introductionmentioning
confidence: 99%
“…As an alternative to !3(XCA) function, Astilleros et al (2003c) have recently proposed the following supersat uration b(XBA' XCA) expression, directly derived from the thermodynamic conditions (3a) and (3b): (5) where XclQ is the molar fraction of the solid at equi librium with respect to an aqueous solution of reference which has the same activity fraction as the given aque ous solution. AS equilibrium conditions for b(XBA' XCA) functions) both the maximum supersaturation and the supersatu ration with respect to the end-members are coincident.…”
Section: Equilibrium and Supersaturation In Solid Solution-aqueous Somentioning
confidence: 99%