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Solid-solution aqueous-solution equilibria; thermodynamic theory and representation
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“The solid activity coefficients of CaCO3 () and MnCO3 () in terms of solid components (1−x, x) can be estimated by the Redlich and Kister equations [50, 54, 60], which are expressed as:1617 where 1−x and x are the molar ratios ( and ) of CaCO3 and MnCO3 in the (Ca1-xMnx)CO3 solid solutions, respectively.”
From Dissolution and solubility of calcite-rhodochrosite solid solutions [(Ca1-xMnx)CO3] at 25 °C (2021) · cites this paper as [50]
In the citing paper
“When the stoichiometric saturation state was reached during dissolution, the excess free energy of mixing for the (BxC1-x)A solid solutions (GE) can be estimated with the following:18 where KSS is the stoichiometric saturation constant and KCA and KBA are the solubility products of CA and BA, respectively [34, 50].”
From Dissolution and solubility of calcite-rhodochrosite solid solutions [(Ca1-xMnx)CO3] at 25 °C (2021) · cites this paper as [50]
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Parkhurst, D. L., & Appelo, C. A. J. (1999) · doi:10.3133/wri994259 · Cited by 7,727
“PHREEQC uses a Guggenheim approach for determining activities of components in nonideal, binary s solutions (Glynn and Reardon, 1990).”
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“The solubility diagram (from data of Durham et al., 1953) and the Lippmann diagram (Glynn et al., 1990) are shown in Figure 9.”
BackgroundMethodPutnis, A. (2009) · Reviews in Mineralogy and Geochemistry · doi:10.2138/rmg.2009.70.3 · Cited by 1,160
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Magnesium and calcium silicate hydrates
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Geochemistry and the understanding of ground-water systems
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Self-citationRare earth and yttrium phosphate solubilities in aqueous solution
Liu, X., & Byrne, R. H. (1997) · Geochimica et Cosmochimica Acta · doi:10.1016/s0016-7037(97)00037-9 · Cited by 256
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Synthesis, characterization and stability of Cr(III) and Fe(III) hydroxides
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BackgroundThe role of sulfate groups in controlling CaCO3 polymorphism
Fernández-Dı́az, L., González, Á. F., & Rubio, M. P. (2010) · Geochimica et Cosmochimica Acta · doi:10.1016/j.gca.2010.08.010 · Cited by 186
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General model for calcite growth kinetics in the presence of impurity ions
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Prieto, M., Fernández-González, A., Putnis, A., & Fernández-Díaz, L. (1997) · Geochimica et Cosmochimica Acta · doi:10.1016/s0016-7037(97)00160-9 · Cited by 156
Experimentally produced oscillatory zoning in the (Ba, Sr)SO4 solid solution
Putnis, A., Fernández-Dı́az, L., & Rubio, M. P. (1992) · Nature · doi:10.1038/358743a0 · Cited by 151
Dissolution of primary minerals of basalt in natural waters
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Solid-Solution Solubilities and Thermodynamics: Sulfates, Carbonates and Halides
Glynn, P. D. (2000) · Reviews in Mineralogy and Geochemistry · doi:10.2138/rmg.2000.40.10 · Cited by 148
“The series of minimum stoichiometric points for a series of solid-phase compositions ranging from x = 0 to x = 1 defines the minimum stoichiometric saturation curve (Glynn and Reardon 1990), also called the equal-G curve (Königsberger and Gamsjäger 1992).”
BackgroundSelf-citationThe role of magnesium in the growth of calcite: An AFM study
Astilleros, J. M., Fernández-Díaz, L., & Putnis, A. (2010) · Chemical Geology · doi:10.1016/j.chemgeo.2009.12.011 · Cited by 131
Ruíz-Agudo, E., & Putnis, C. V. (2012) · Mineralogical Magazine · doi:10.1180/minmag.2012.076.1.227 · Cited by 126
“dynamic principles governing solid-solution– aqueous-solution (SS AS) systems on which this assertion is made are well established (Glynn and Reardon, 1990; Tesoriero and Pankow, 1996) and have recently been reviewed by Prieto (2009).”
BackgroundReaction paths and equilibrium end-points in solid-solution aqueous-solution systems
Glynn, P. D., Reardon, E. J., Plummer, L. N., & Busenberg, E. (1990) · Geochimica et Cosmochimica Acta · doi:10.1016/0016-7037(90)90317-e · Cited by 120
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Microstructural evolution during the infiltration of boron carbide with molten silicon
Hayun, S., Weizman, A., Dariel, M. P., et al. (2009) · Journal of the European Ceramic Society · doi:10.1016/j.jeurceramsoc.2009.09.021 · Cited by 115
Solid-Solution Reactions in As(V) Sorption by Schwertmannite
Fukushi, K., Satō, T., & Yanase, N. (2003) · Environmental Science & Technology · doi:10.1021/es026427i · Cited by 100
Mucci, A. (2004) · Aquatic Geochemistry · doi:10.1023/b:aqua.0000038958.56221.b4 · Cited by 94
Christov, C. (2007) · Geochimica et Cosmochimica Acta · doi:10.1016/j.gca.2007.05.007 · Cited by 95
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Becker, U., González, Á. F., Rubio, M. P., et al. (2000) · Physics and Chemistry of Minerals · doi:10.1007/s002690050258 · Cited by 87
Pérez-Garrido, C., Fernández-Dı́az, L., Pina, C. M., & Rubio, M. P. (2007) · Surface Science · doi:10.1016/j.susc.2007.09.021 · Cited by 88
Pollok, K., Putnis, C. V., & Putnis, A. (2011) · American Journal of Science · doi:10.2475/03.2011.02 · Cited by 89
“A Lippmann phase diagram can be used to visualize SS-AS equilibrium states (Lippmann, 1977, 1980; Glynn and Reardon, 1990; Putnis and others, 1995; Glynn, 2000; Prieto, 2009) and the thermodynamic framework is given below.”
MethodKulik, D. (2002) · American Journal of Science · doi:10.2475/ajs.302.3.227 · Cited by 82
The saturation state of the world’s ocean with respect to (Ba,Sr)SO4 solid solutions
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Pina, C. M., Enders, M., & Putnis, A. (2000) · Chemical Geology · doi:10.1016/s0009-2541(00)00227-8 · Cited by 80
“Lippmann diagram Glynn and Reardon, 1990 , in which SP is represented on the ordinate and the composition of the solid and the aqueous phase are represented in a double scale on the abscissa.”
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“7) [37,38].”
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Christov, C. (2010) · The Journal of Chemical Thermodynamics · doi:10.1016/j.jct.2010.10.006 · Cited by 59
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“In constructing the Lippmann diagram, the total solubility product (ΣΠ) for (PbxCa1‒x)(PO4)3/5OH1/5 can be expressed as [47]:”
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“According to the three models, the Lippmann's total solubility product (ΣΠ) and Ksp values of each zeolite were calculated ([55,56], see details in Text A1) and plotted in Fig.”
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“(Glynn and Reardon, 1990; Lippmann, 1980; Prieto, 2009) defined as”
Supersaturation functions in binary solid solution–aqueous solution systems
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Nanoscale growth of solids crystallising from multicomponent aqueous solutions
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Solid-solute phase equilibria in aqueous solution. V: The system CdCO3-CaCO3-CO2-H2O
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Lichtner, P. C., & Carey, J. W. (2006) · Geochimica et Cosmochimica Acta · doi:10.1016/j.gca.2005.11.028 · Cited by 43
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“The values of interaction parameters in these equations for (pseudo)binary systems can be predicted theoretically, as done above, or simply adjusted in graphical fitting of the solidus and solutus curves against the empirical 65 points on the Lippmann diagram plots (Glynn and Reardon, 1990).”
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The solubility of (Ba,Sr)SO4 precipitates: Thermodynamic equilibrium and reaction path analysis
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“However, following Lippmann theory [28] the solution composition is supersaturated with respect to an intermediate composition Ca0.”
BackgroundCharacterization and Crystallization of Ba(SO4,SeO4) Solid Solution
Andara, A. J., Heasman, D. M., Fernández-González, Á., & Prieto, M. (2005) · Crystal Growth & Design · doi:10.1021/cg0497290 · Cited by 37
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“From Glynn and Reardon (1990),36 the standard Gibbs free energy associated with the congruent dissolution reaction of a real solid solution can be expressed in terms of the standard Gibbs free energy associated with the dissolution of an ideal solid solution, ΔRG°,id with the same composition and…”
BackgroundWeber, J., Bracco, J. N., Poplawsky, J. D., Ievlev, A. V., More, K. L., Lorenz, M., Bertagni, A. L., Jindra, S. A., Starchenko, V., Higgins, S. R., et al. (2018) · Crystal Growth & Design · doi:10.1021/acs.cgd.8b00839 · Cited by 35
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Henry’s and non-Henry’s law behavior of Br in simple marine systems
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“Equilibria between one solid solution and the aqueous solution were plotted in a Lippmann phase diagram (Lippmann, 1980; Glynn and Reardon, 1990; Prieto, 2009).”
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“Then thermodynamicmodelswere proposed (Lippmann, 1977; Glynn and Reardon, 1990) based on mixing properties of solid solutions, but their utility is limited to conditions near equilibrium.”
BackgroundEffect of ferrous iron on the nucleation and growth of CaCO 3 in slightly basic aqueous solutions
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Metadata
- Authors
- Glynn, P. D., & Reardon, E. J.
- ORCID
- Glynn, P. D.
- Venue
- American Journal of Science
- Publisher
- American Journal of Science (AJS)
- Published
- 1990-02-01
- Volume
- 290
- Issue
- 2
- Pages
- 164-201
- ISSN
- 0002-9599 (ISSN-L)
- OpenAlex
- W1981362259
- Cited by
- 219
- References
- 0
- Citations by year
- 2026: 3 · 2025: 6 · 2024: 5 · 2023: 3 · 2022: 7 · 2021: 5 · 2020: 6 · 2019: 3 · 2018: 9 · 2017: 12 · 2016: 7 · 2015: 6 · 2014: 8 · 2013: 7 · 2012: 18
- FWCI
- 12.55
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- American Journal of Science (publishedVersion)
- Topics
- Physical Sciences › Chemical Engineering › Filtration and Separation › Chemical and Physical Properties in Aqueous Solutions
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Phase Equilibria and Thermodynamics
- Physical Sciences › Materials Science › Materials Chemistry › Crystallization and Solubility Studies
- Keywords
- aqueous solution equilibria, thermodynamic theory, phase equilibria, chemical thermodynamics
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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