Algebraic Representation of Thermodynamic Properties and the Classification of Solutions

Redlich, Otto; Kister, A. T.

doi:10.1021/ie50458a036

Cited by 5,879Phase Equilibria and ThermodynamicsThermodynamic properties of mixturesChemical Thermodynamics and Molecular Structure

Algebraic Representation of Thermodynamic Properties and the Classification of Solutions

Redlich, Otto, Kister, A. T.·1948·Industrial & Engineering Chemistry

DOI 10.1021/ie50458a036

Open this paper in CoChat — free account

Abstract

ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTAlgebraic Representation of Thermodynamic Properties and the Classification of SolutionsOtto Redlich and A. T. KisterCite this: Ind. Eng. Chem. 1948, 40, 2, 345–348Publication Date (Print):February 1, 1948Publication History Published online1 May 2002Published inissue 1 February 1948https://pubs.acs.org/doi/10.1021/ie50458a036https://doi.org/10.1021/ie50458a036research-articleACS PublicationsRequest reuse permissionsArticle Views5957Altmetric-Citations5126LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InRedditEmail Other access options Get e-Alerts

Integrity signals

Registry

Crossref · 10.1021/ie50458a036

Cites

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

Solid activity coefficients of CaCO3 and MnCO3 in terms of solid components can be estimated by the Redlich and Kister equations.
“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 [60]

Sorted by citations

Local compositions in thermodynamic excess functions for liquid mixtures
Renon, H., & Prausnitz, J. M. (1968) · AIChE Journal · doi:10.1002/aic.690140124 · Cited by 6,798 · see citing works
SGTE data for pure elements
Dinsdale, A. T. (1991) · Calphad · doi:10.1016/0364-5916(91)90030-n · Cited by 5,037 · see citing works
The compound energy formalism
Hillert, M. (2001) · Journal of Alloys and Compounds · doi:10.1016/s0925-8388(00)01481-x · Cited by 969 · see citing works
Dependence of tensile deformation behavior of TWIP steels on stacking fault energy, temperature and strain rate
Curtze, S., & Kuokkala, V. (2010) · Acta Materialia · doi:10.1016/j.actamat.2010.05.049 · Cited by 878 · see citing works
Thermodynamics of mantle minerals - II. Phase equilibria
Stixrude, L. P., & Lithgow‐Bertelloni, C. (2011) · Geophysical Journal International · doi:10.1111/j.1365-246x.2010.04890.x · Cited by 632 · see citing works
Tin–lead (SnPb) solder reaction in flip chip technology
Tu, K. N., & Zeng, K. (2001) · Materials Science and Engineering R Reports · doi:10.1016/s0927-796x(01)00029-8 · Cited by 596 · see citing works
Thermodynamic assessment of the Al-Ni system
Ansara, I., Dupin, N., Lukas, H. L., et al. (1997) · Journal of Alloys and Compounds · doi:10.1016/s0925-8388(96)02652-7 · Cited by 555 · see citing works
Development of a diffusion mobility database for Ni-base superalloys
Campbell, C. E., Boettinger, W. J., & Kattner, U. R. (2002) · Acta Materialia · doi:10.1016/s1359-6454(01)00383-4 · Cited by 465 · see citing works
ChemSage—A computer program for the calculation of complex chemical equilibria
Eriksson, G., & Hack, K. (1990) · Metallurgical Transactions B · doi:10.1007/bf02670272 · Cited by 450 · see citing works
Density, dynamic viscosity, and derived properties of binary mixtures of methanol or ethanol with water, ethyl acetate, and methyl acetate at T= (293.15, 298.15, and 303.15) K
González, B., Calvar, N., Gómez, E., et al. (2007) · The Journal of Chemical Thermodynamics · doi:10.1016/j.jct.2007.05.004 · Cited by 398 · see citing works
First-Principles Calculations and CALPHAD Modeling of Thermodynamics
Liu, Z. (2009) · Journal of Phase Equilibria and Diffusion · doi:10.1007/s11669-009-9570-6 · Cited by 376 · see citing works
Phase diagram calculation: past, present and future
Chang, Y. A., Chen, S., Zhang, F., et al. (2003) · Progress in Materials Science · doi:10.1016/s0079-6425(03)00025-2 · Cited by 345 · see citing works
Mixing ionic liquids – “simple mixtures” or “double salts”?
Châtel, G., Pereira, J. F. B., Debbeti, V., et al. (2014) · Green Chemistry · doi:10.1039/c3gc41389f · Cited by 343 · see citing works
Interactions of surfactants with lipid membranes
Heerklotz, H. H. (2008) · Quarterly Reviews of Biophysics · doi:10.1017/s0033583508004721 · Cited by 339 · see citing works
“The energy of a mixture can be described by the sum of pair interactions only to a first approximation (Redlich & Kister, 1948 ; Guggenheim, 1952).”
Background
Electrochemomechanics of lithium dendrite growth
Jana, A., Woo, S., Vikrant, K. S., & García, R. (2019) · Energy & Environmental Science · doi:10.1039/c9ee01864f · Cited by 153 · see citing works
The Al–B–Nb–Ti system
Witusiewicz, V. T., Bondar, A. А., Hecht, U., et al. (2007) · Journal of Alloys and Compounds · doi:10.1016/j.jallcom.2007.10.061 · Cited by 313 · see citing works
The thermodynamic modeling of multicomponent phase equilibria
Kattner, U. R. (1997) · JOM · doi:10.1007/s11837-997-0024-5 · Cited by 309 · see citing works
Understanding phase stability of Al-Co-Cr-Fe-Ni high entropy alloys
Zhang, C., Zhang, F., Diao, H., et al. (2016) · Materials & Design · doi:10.1016/j.matdes.2016.07.073 · Cited by 287 · see citing works
“The volume of a phase with crystal structure φ can then be obtained via the Redlich-Kister polynomial [37]: where x i is the mole fraction of element i and exm V is the excess molar volume.”
Phase separation in metallic glasses
Kim, D.-H., Kim, W. T., Park, E. S., et al. (2013) · Progress in Materials Science · doi:10.1016/j.pmatsci.2013.04.002 · Cited by 284 · see citing works
Thermodynamic modelling of the cerium–oxygen system☆
Zinkevich, M., DJUROVIC, D., & Aldinger, F. (2006) · Solid State Ionics · doi:10.1016/j.ssi.2006.02.044 · Cited by 273 · see citing works
Liquid—liquid equilibrium data: Their retrieval, correlation and prediction Part II: Correlation
Sørensen, J. M., Magnussen, T., Rasmussen, P. H., et al. (1979) · Fluid Phase Equilibria · doi:10.1016/0378-3812(79)80027-8 · Cited by 273 · see citing works
Estimation of grain boundary segregation enthalpy and its role in stable nanocrystalline alloy design
Murdoch, H. A., & Schuh, C. A. (2013) · Journal of materials research/Pratt's guide to venture capital sources · doi:10.1557/jmr.2013.211 · Cited by 259 · see citing works
Segregation and immiscibility in liquid binary alloys
Singh, R. N., & Sommer, F. (1997) · Reports on Progress in Physics · doi:10.1088/0034-4885/60/1/003 · Cited by 256 · see citing works
Empirical mapping of Ni–Mn–Ga properties with composition and valence electron concentration
Jin, X., Marioni, M. A., Bono, D. C., et al. (2002) · Journal of Applied Physics · doi:10.1063/1.1453943 · Cited by 258 · see citing works
A binary database for III–V compound semiconductor systems
Ansara, I., Chatillon, C. B., Lukas, H. L., et al. (1994) · Calphad · doi:10.1016/0364-5916(94)90027-2 · Cited by 248 · see citing works
Nanocrystal development during primary crystallization of amorphous alloys
Allen, D. R., Foley, J. C., & Perepezko, J. H. (1998) · Acta Materialia · doi:10.1016/s1359-6454(97)00279-6 · Cited by 244 · see citing works
Thermodynamic calculation of the ternary system Al-Si-C
Gröbner, J., Lukas, H. L., & Aldinger, F. (1996) · Calphad · doi:10.1016/s0364-5916(96)00027-2 · Cited by 241 · see citing works
Refractive Index of Liquid Mixtures: Theory and Experiment
Reis, J. C. R., Lampreia, I. M. S., Santos, Â. F. S., et al. (2010) · ChemPhysChem · doi:10.1002/cphc.201000566 · Cited by 234 · see citing works
Two-pyroxene thermobarometry with new experimental data in the system CaO-MgO-Al2O3-SiO2
Gasparik, T. (1984) · Contributions to Mineralogy and Petrology · doi:10.1007/bf00371405 · Cited by 232 · see citing works
Calculation of the Viscosity of Binary Liquids at Various Temperatures Using Jouyban-Acree Model
Jouyban, A., Khoubnasabjafari, M., Vaez-Gharamaleki, Z., et al. (2005) · Chemical and Pharmaceutical Bulletin · doi:10.1248/cpb.53.519 · Cited by 228 · see citing works
Effect of Water on the Density, Viscosity, and CO 2 Solubility in Choline Chloride/Urea
Xie, Y., Dong, H., Zhang, S., Lü, X., & Ji, X. (2014) · Journal of Chemical & Engineering Data · doi:10.1021/je500320c · Cited by 219 · see citing works
A thermodynamic description of the Al–Fe–Si system over the whole composition and temperature ranges via a hybrid approach of CALPHAD and key experiments
Du, Y., Schuster, J. C., Liu, Z., et al. (2008) · Intermetallics · doi:10.1016/j.intermet.2008.01.003 · Cited by 219 · see citing works
A thermodynamic analysis of the NiAl system
Huang, W., & Chang, Y. A. (1998) · Intermetallics · doi:10.1016/s0966-9795(97)00099-x · Cited by 212 · see citing works
Formation mechanisms of self-organized core/shell and core/shell/corona microstructures in liquid droplets of immiscible alloys
Shi, R., Wang, C. P., Wheeler, D., et al. (2012) · Acta Materialia · doi:10.1016/j.actamat.2012.10.033 · Cited by 208 · see citing works
“The molar free energy of the liquid phase is approximated by a subregular solution model with the Redlich–Kister formula [28] and has been critically assessed by Chen et al.”
Method
A simulation study of the shape of β′ precipitates in Mg–Y and Mg–Gd alloys
Liu, H., Gao, Y., Liu, J. Z., et al. (2012) · Acta Materialia · doi:10.1016/j.actamat.2012.09.044 · Cited by 206 · see citing works
Combining thermodynamic modeling and 3D printing of elemental powder blends for high-throughput investigation of high-entropy alloys – Towards rapid alloy screening and design
Haase, C., Tang, F., Wilms, M. B., et al. (2017) · Materials Science and Engineering A · doi:10.1016/j.msea.2017.01.099 · Cited by 205 · see citing works
Strategies for the calculation of phase diagrams
Lukas, H. L., Weiss, J., & Henig, E.-T. (1982) · Calphad · doi:10.1016/0364-5916(82)90004-9 · Cited by 200 · see citing works
Ultrasonic speeds and isentropic functions of (a 2-alkoxyethanol + water) at 298.15 K
Douhéret, G., Pal, A., & Davis, M. I. (1990) · The Journal of Chemical Thermodynamics · doi:10.1016/0021-9614(90)90036-p · Cited by 198 · see citing works
Mixing properties of (methanol, ethanol, or 1-propanol) with (n-pentane, n-hexane, n-heptane and n-octane) at 298.15 K
Orge, B., Iglesias, M., Rodríguez, A., et al. (1997) · Fluid Phase Equilibria · doi:10.1016/s0378-3812(97)00031-9 · Cited by 197 · see citing works
Treatment of excess thermodynamic quantities for liquid mixtures
Desnoyers, J. E., & Perron, G. (1997) · Journal of Solution Chemistry · doi:10.1007/bf02767781 · Cited by 193 · see citing works
Thermodynamic Properties of Binary Mixtures of Butanediols with Water
Hawrylak, B. E., Gracie, K., & Palepu, R. M. (1998) · Journal of Solution Chemistry · doi:10.1023/a:1022636511542 · Cited by 193 · see citing works
Density and viscosity of 1-butyl-3-methylimidazolium nitrate with ethanol, 1-propanol, or 1-butanol at several temperatures
Mokhtarani, B., Sharifi, A., Mortaheb, H. R., et al. (2009) · The Journal of Chemical Thermodynamics · doi:10.1016/j.jct.2009.06.023 · Cited by 192 · see citing works
Excess enthalpy, density, and heat capacity for binary systems of alkylimidazolium-based ionic liquids + water
Garcı́a-Miaja, G., Troncoso, J., & Romanı́, L. (2008) · The Journal of Chemical Thermodynamics · doi:10.1016/j.jct.2008.10.002 · Cited by 191 · see citing works
THE CALPHAD METHOD AND ITS ROLE IN MATERIAL AND PROCESS DEVELOPMENT
Kattner, U. R. (2016) · Tecnologia em Metalurgia Materiais e Mineração · doi:10.4322/2176-1523.1059 · Cited by 193 · see citing works
Molecular interaction in mixed monolayers at the air/water interface
Dynarowicz-Ła̧tka, P., & Kita‐Tokarczyk, K. (1999) · Advances in Colloid and Interface Science · doi:10.1016/s0001-8686(98)00064-5 · Cited by 190 · see citing works
Thermodynamic analysis of the solubility of ketoprofen in some propylene glycol+water cosolvent mixtures
Gantiva, M., & R., F. M. (2010) · Fluid Phase Equilibria · doi:10.1016/j.fluid.2010.03.031 · Cited by 188 · see citing works
Density and viscosity of pyridinium-based ionic liquids and their binary mixtures with water at several temperatures
Mokhtarani, B., Sharifi, A., Mortaheb, H. R., et al. (2008) · The Journal of Chemical Thermodynamics · doi:10.1016/j.jct.2008.09.001 · Cited by 187 · see citing works
An improved thermodynamic modeling of the Fe–Cr system down to zero kelvin coupled with key experiments
Xiong, W., Hedström, P., Selleby, M., et al. (2011) · Calphad · doi:10.1016/j.calphad.2011.05.002 · Cited by 186 · see citing works
Density, Refractive Index, and Speed of Sound of Binary Mixtures (Diethyl Carbonate + Alcohols) at Several Temperatures
Rodríguez, A., Canosa, J., & Tojo, J. (2001) · Journal of Chemical & Engineering Data · doi:10.1021/je010148d · Cited by 186 · see citing works
A thermodynamic database for zirconium alloys
Dupin, N., Ansara, I., Servant, C., et al. (1999) · Journal of Nuclear Materials · doi:10.1016/s0022-3115(99)00125-7 · Cited by 186 · see citing works
Computational thermodynamics and its applications
Liu, Z. (2020) · Acta Materialia · doi:10.1016/j.actamat.2020.08.008 · Cited by 170 · see citing works
Modeling of Ni–Cr–Mo based alloys: Part I—phase stability
Turchi, P. E. A., Kaufman, L., & Liu, Z. (2005) · Calphad · doi:10.1016/j.calphad.2005.10.003 · Cited by 174 · see citing works
Studies of viscosity and excess molar volume of binary mixtures.
Oswal, S. L., & Desai, H. (1998) · Fluid Phase Equilibria · doi:10.1016/s0378-3812(98)00318-5 · Cited by 174 · see citing works
Densities and viscosities for binary mixtures of phenetole with 1-pentanol, 1-hexanol, 1-heptanol, 1-octanol, 1-nonanol, and 1-decanol at different temperatures
Al-Jimaz, A. S., Al-Kandary, J. A., & Abdul-Latif, A.-H. M. (2004) · Fluid Phase Equilibria · doi:10.1016/j.fluid.2003.12.007 · Cited by 172 · see citing works
A fresh look at the thermodynamic consistency of vapour-liquid equilibria data
Wisniak, J., Ortega, J., & Fernández, L. (2016) · The Journal of Chemical Thermodynamics · doi:10.1016/j.jct.2016.10.038 · Cited by 168 · see citing works
Activity of water in aqueous systems; A frequently neglected property
Blandamer, M. J., Engberts, J. B. F. N., Gleeson, P. T., & Reis, J. C. R. (2005) · Chemical Society Reviews · doi:10.1039/b400473f · Cited by 164 · see citing works
Demixing of Hydrogen and Helium at Megabar Pressures
Lorenzen, W., Holst, B., & Redmer, R. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.115701 · Cited by 161 · see citing works
Measurements and Modeling of Thermophysical Behavior of (C1− C4) Alkylbenzoate/ (C1− C11) Alkan-1-ol Mixed Solvents
Garcı́a, B., Aparício, S., Navarro, A. M., et al. (2004) · The Journal of Physical Chemistry B · doi:10.1021/jp0485439 · Cited by 160 · see citing works
Thermodynamics and phase stability in the Si–O system
Schnurre, S. M., Gröbner, J., & Schmid‐Fetzer, R. (2004) · Journal of Non-Crystalline Solids · doi:10.1016/j.jnoncrysol.2003.12.057 · Cited by 159 · see citing works
Analysis of thermochemical properties and phase stability in the zirconium-carbon system
Guillermet, A. F. (1995) · Journal of Alloys and Compounds · doi:10.1016/0925-8388(94)01310-e · Cited by 158 · see citing works
The thermochemistry library ChemApp and its applications
Petersen, S., & Hack, K. (2007) · International Journal of Materials Research (formerly Zeitschrift fuer Metallkunde) · doi:10.3139/146.101551 · Cited by 153 · see citing works
Mathematical Representation of Thermodynamic Properties. Carbazole Solubilities in Binary Alkane + Dibutyl Ether and Alkane + Tetrahydropyran Solvent Mixtures
Acree, W. E., McCargar, J. W., Zvaigzne, A. I., et al. (1991) · Physics and Chemistry of Liquids · doi:10.1080/00319109108030630 · Cited by 151 · see citing works
Thermodynamic properties of the Ni–Al–Cr system
Huang, W., & Chang, Y. A. (1999) · Intermetallics · doi:10.1016/s0966-9795(98)00138-1 · Cited by 151 · see citing works
Effects of the thermodynamic parameters of the hcp phase on the stacking fault energy calculations in the Fe–Mn and Fe–Mn–C systems
Nakano, J., & Jacques, P. (2010) · Calphad · doi:10.1016/j.calphad.2010.02.001 · Cited by 150 · see citing works
A multicomponent consistency test
McDermott, C., & Ellis, S. R. M. (1965) · Chemical Engineering Science · doi:10.1016/0009-2509(65)85018-7 · Cited by 149 · see citing works
Demonstration of the use of “BINGSS” with the Mg-Zn system as example
Lukas, H. L., & Fries, S. G. (1992) · Journal of Phase Equilibria · doi:10.1007/bf02665766 · Cited by 149 · see citing works
The Cu–Sn phase diagram part II: New thermodynamic assessment
Li, D., Franke, P., Fürtauer, S., et al. (2012) · Intermetallics · doi:10.1016/j.intermet.2012.10.010 · Cited by 148 · see citing works
The Ag–Al–Cu systemPart I: Reassessment of the constituent binaries on the basis of new experimental data
Witusiewicz, V. T., Hecht, U., Fries, S. G., et al. (2004) · Journal of Alloys and Compounds · doi:10.1016/s0925-8388(04)00676-0 · Cited by 148 · see citing works
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 · see citing works
Thermodynamic and kinetic modeling of the Cr-Ti-V system
Ghosh, G. K. (2002) · Journal of Phase Equilibria and Diffusion · doi:10.1361/105497102770331569 · Cited by 146 · see citing works
Study of densities, viscosities, and speeds of sound of binary liquid mixtures of butan-1-ol with n-alkanes (C6, C8, and C10) at T= (298.15, 303.15, and 308.15) K
Dubey, G. P., Sharma, M., & Dubey, N. (2007) · The Journal of Chemical Thermodynamics · doi:10.1016/j.jct.2007.05.016 · Cited by 146 · see citing works
Thermodynamic properties of the Co-W-C system
Guillermet, A. F. (1989) · Metallurgical Transactions A · doi:10.1007/bf02651660 · Cited by 146 · see citing works
Thermodynamic evaluation of the Fe–Zn system
Su, X., Tang, N., & Toguri, J. M. (2001) · Journal of Alloys and Compounds · doi:10.1016/s0925-8388(01)01273-7 · Cited by 146 · see citing works
Investigation of the Al-Mg-Si system by experiments and thermodynamic calculations
Feufel, H., Gödecke, T., Lukas, H. L., et al. (1997) · Journal of Alloys and Compounds · doi:10.1016/s0925-8388(96)02655-2 · Cited by 144 · see citing works
State-of-the-Art Diffusion Studies in the High Entropy Alloys
Dąbrowa, J., & Danielewski, M. (2020) · Metals · doi:10.3390/met10030347 · Cited by 143 · see citing works
“The i  parameter was given by the composition‐dependent Redlich–Kister polynomial [72]:”
Method
Multiscale modelling of radiation damage and phase transformations: The challenge of FeCr alloys
Malerba, L., Caro, A., & Wallenius, J. (2008) · Journal of Nuclear Materials · doi:10.1016/j.jnucmat.2008.08.014 · Cited by 143 · see citing works
Thermodynamic modeling of the Hf–Si–O system
Shin, D., Arróyave, R., & Liu, Z. (2006) · Calphad · doi:10.1016/j.calphad.2006.08.006 · Cited by 142 · see citing works
Thermodynamic analysis of the ternary La–Ni–O system
Zinkevich, M., & Aldinger, F. (2004) · Journal of Alloys and Compounds · doi:10.1016/j.jallcom.2003.11.138 · Cited by 142 · see citing works
Thermodynamic assessment of the TiZr system and calculation of the NbTiZr phase diagram
Kumar, K. C. H., Wollants, P., & Delacy, L. (1994) · Journal of Alloys and Compounds · doi:10.1016/0925-8388(94)90019-1 · Cited by 142 · see citing works
Thermodynamic consistency test of vapor-liquid equilibrium data
Kojima, K., Moon, H. M., & Ochi, K. (1990) · Fluid Phase Equilibria · doi:10.1016/0378-3812(90)85108-m · Cited by 142 · see citing works
Semi-solid alkali metal electrodes enabling high critical current densities in solid electrolyte batteries
Park, R. J.-Y., Eschler, C. M., Fincher, C. D., Badel, A. F., Guan, P.-W., Pharr, M., Sheldon, B. W., Carter, W. C., Viswanathan, V., & Chiang, Y. (2021) · Nature Energy · doi:10.1038/s41560-021-00786-w · Cited by 141 · see citing works
Reassessment of the Al–Mn system and a thermodynamic description of the Al–Mg–Mn system
Du, Y., Wang, J., Zhao, J., et al. (2007) · International Journal of Materials Research (formerly Zeitschrift fuer Metallkunde) · doi:10.3139/146.101547 · Cited by 138 · see citing works
Perspectives and guidelines on thermodynamic modelling of deep eutectic solvents
Alkhatib, I. I. I., Bahamón, D., Llovell, F., Abu‐Zahra, M. R. M., & Vega, L. F. (2019) · Journal of Molecular Liquids · doi:10.1016/j.molliq.2019.112183 · Cited by 140 · see citing works
A thermodynamic assessment of the Au-Cu system
Sundman, B., Fries, S. G., & Oates, W. A. (1998) · Calphad · doi:10.1016/s0364-5916(98)00034-0 · Cited by 138 · see citing works
Deformation behavior of a Co-Cr-Fe-Ni-Mo medium-entropy alloy at extremely low temperatures
Moon, J., Tabachnikova, E. D., Shumilin, S. E., et al. (2021) · Materials Today · doi:10.1016/j.mattod.2021.08.001 · Cited by 137 · see citing works
A new equation for the temperature dependence of the excess Gibbs energy of solution phases
Kaptay, G. (2004) · Calphad · doi:10.1016/j.calphad.2004.08.005 · Cited by 136 · see citing works
Density, Excess Molar Volume, and Viscosity for the Methyl Methacrylate + 1-Butyl-3-methylimidazolium Hexafluorophosphate Ionic Liquid Binary System at Atmospheric Pressure
Fan, W., Zhou, Q., Sun, J., et al. (2009) · Journal of Chemical & Engineering Data · doi:10.1021/je900091b · Cited by 136 · see citing works
Densities, refractive indices, and viscosities of N,N-diethylethanol ammonium chloride–glycerol or –ethylene glycol deep eutectic solvents and their aqueous solutions
Siongco, K. R., Leron, R. B., & Li, M. (2013) · The Journal of Chemical Thermodynamics · doi:10.1016/j.jct.2013.05.041 · Cited by 137 · see citing works
Investigation into nanoscratching mechanical response of AlCrCuFeNi high-entropy alloys using atomic simulations
Wang, Z., Li, J., Fang, Q., et al. (2017) · Applied Surface Science · doi:10.1016/j.apsusc.2017.04.009 · Cited by 135 · see citing works
Thermophysical characterization of aqueous deep eutectic solvent (choline chloride/urea) solutions in full ranges of concentration at T= (293.15–323.15) K
Shekaari, H., Zafarani-Moattar, M. T., & Mohammadi, B. (2017) · Journal of Molecular Liquids · doi:10.1016/j.molliq.2017.08.051 · Cited by 137 · see citing works
Temperature and Composition Dependence of the Densities, Viscosities, and Speeds of Sound of Binary Liquid Mixtures of 1-Butanol with Hexadecane and Squalane
Dubey, G. P., & Sharma, M. (2008) · Journal of Chemical & Engineering Data · doi:10.1021/je7007654 · Cited by 133 · see citing works
Contribution of first-principles energetics to Al–Mg thermodynamic modeling
Zhong, Y., Yang, M., & Liu, Z. (2005) · Calphad · doi:10.1016/j.calphad.2005.08.004 · Cited by 133 · see citing works
Advances in the theory of III–V nanowire growth dynamics
Krogstrup, P., Jørgensen, H. I., Johnson, E., et al. (2013) · Journal of Physics D Applied Physics · doi:10.1088/0022-3727/46/31/313001 · Cited by 132 · see citing works
Densities and volumetric properties of a (xylene + dimethyl sulfoxide) at temperature from (293.15 to 353.15) K
Wang, H., Liu, W., & Huang, J. (2004) · The Journal of Chemical Thermodynamics · doi:10.1016/j.jct.2004.04.004 · Cited by 132 · see citing works
Properties of ionic liquid HMIMPF6 with carbonates, ketones and alkyl acetates
Pereiro, A. B., Tojo, E., Rodríguez, A., et al. (2005) · The Journal of Chemical Thermodynamics · doi:10.1016/j.jct.2005.07.020 · Cited by 131 · see citing works
Thermodynamic optimization of the B–Fe system
Rompaey, T. V., Kumar, K. C. H., & Wollants, P. (2002) · Journal of Alloys and Compounds · doi:10.1016/s0925-8388(01)01777-7 · Cited by 130 · see citing works
Experimental determination and modeling of excess molar volumes, viscosities and refractive indices of the binary systems (pyridine + 1-propanol, +1,2-propanediol, +1,3-propanediol, and +glycerol). New UNIFAC-VISCO parameters determination
Kijevčanin, M. L., Živković, E. M., Djordjević, B. D., et al. (2012) · The Journal of Chemical Thermodynamics · doi:10.1016/j.jct.2012.06.031 · Cited by 129 · see citing works
Arsenic evolution as a tool for understanding formation of pyritic gold ores
Xing, Y., Brugger, J., Tomkins, A. G., et al. (2019) · Geology · doi:10.1130/g45708.1 · Cited by 129 · see citing works
A new thermodynamic description of the Cu-Zr system
Zeng, K., Hämäläinen, M., & Lukas, H. L. (1994) · Journal of Phase Equilibria · doi:10.1007/bf02647618 · Cited by 129 · see citing works
Thermodynamic assessment of the Cu–Ti–Zr system
Arróyave, R., Eagar, T. W., & Kaufman, L. (2003) · Journal of Alloys and Compounds · doi:10.1016/s0925-8388(02)01035-6 · Cited by 129 · see citing works

Authors: Redlich, O., & Kister, A. T.
Venue: Industrial & Engineering Chemistry
Publisher: American Chemical Society (ACS)
Published: 1948-02
Volume: 40
Issue: 2
Pages: 345-348
ISSN: 0019-7866 (ISSN-L)
1541-5724
DOI: 10.1021/ie50458a036
OpenAlex: W1991410388
Cited by: 5,879
References: 0
Citations by year: 2026: 192 · 2025: 262 · 2024: 270 · 2023: 215 · 2022: 219 · 2021: 241 · 2020: 254 · 2019: 240 · 2018: 230 · 2017: 243 · 2016: 226 · 2015: 219 · 2014: 251 · 2013: 254 · 2012: 220
FWCI: 1.41
Type: journal article
Language: en
Open access: closed
Locations: Industrial & Engineering Chemistry (publishedVersion)
Topics: Physical Sciences › Engineering › Biomedical Engineering › Phase Equilibria and Thermodynamics
Physical Sciences › Chemical Engineering › Fluid Flow and Transfer Processes › Thermodynamic properties of mixtures
Physical Sciences › Chemistry › Organic Chemistry › Chemical Thermodynamics and Molecular Structure
Keywords: thermodynamic properties, algebraic representation, classification of solutions, thermodynamic equations of state

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 ›

Are you an author, or do you see a problem with this page? Request a review

Algebraic Representation of Thermodynamic Properties and the Classification of Solutions

Abstract

Integrity signals

Claims the paper makes

Claims other papers make about this one

Cited by

Related

Record

About these checks