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Relationships among Gibbs free energies and enthalpies of formation of phosphates, oxides and aqueous ions

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Abstract

Two parameters ΔGO2− and ΔHO2− are defined as the differences between respectively the Gibbs free energies and the enthalpies of formation of an oxide and its corresponding aqueous cation. The Gibbs free energies and enthalpies of formation of phosphates from their consituent oxides are shown to be linear functions of respectively ΔGO2– and ΔHO2− of their constituent cations.

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References

  • Afanas'ev, Yu.A., Starotin, A.D.: Standard enthalpies of formation for orthophosphate of some rare earths. Izv. Sibirsk. Otd. Akad. Nauk SSSR Ser. Khim. Nauk 5, 104–106 (1967)

    Google Scholar 

  • Ashuiko, V.A., Lavrov, A.V., Rat'kovskii, I.A.: Mass spectrometric study of gallium and indium phosphates. Zh. Fiz. Khim. 49, 1598 (1975a)

    Google Scholar 

  • Ashuiko, V.A., Rat'kosvskii, I.A., Urikh, V.A., Urusovskaya, L.N.: Mass spectrometric study of sodium metaphosphate. Izv. Vysshikh Uchebn. Zavedenii Khim. i Khim. Tecknol. 18, 676 (1975c)

    Google Scholar 

  • Ashuiko, V.A., Urchsovskaya, L.N., Rat'kovskii, I.A.: Mass spectrometric study of strontium metaphosphate. Zh. Fiz. Khim. 49, 812 (1975b)

    Google Scholar 

  • Beglov, B.M.: Approximate calculation of standards heats of formation of polyphosphate. Dokl. Akad. Nauk Uzb. SSSR 27, 25 (1970)

    Google Scholar 

  • Beglov, B.M., Nabieva, M.M.: Thermodynamic properties of condensed lithium, rubidium and cesium phosphates. Uzbeksk. Khim. Zh. 15, 15–17 (1971)

    Google Scholar 

  • Cordfunke, E.H.P., Ouweltjes, W.: Heat of formation of silver phosphate and silver arsenate. Reevaluation. Recl. Trav. Chim. Pays Bas 90, 1343–1344 (1971)

    Google Scholar 

  • Garrels, R.M., Christ, C.L.: Solutions minerals and equilibria. 450 pp. New York: Harper & Row 1965

    Google Scholar 

  • Irving, R.J., McKerrel, H.: Standards Heats of formation of sodium dihydrogen phosphate, disodium monohydrogen phosphate and trisodium phosphate. Trans. Faraday Soc. 63, 2913–2916 (1967)

    Google Scholar 

  • Janaf: Janaf thermochemical tables. Stull, D.R., Prophet, H. project directors. Natl. Stand. Ref. Data Serv. Natl. Bur. Stand. (U.S.) 37, 1141 pp. (1971)

  • Karpov. I.K., Kashik, S.A., Pampura, V.D.: Thermodynamic constants for calculations in geochemistry and petrology (in russian). 143 pp. Moscow: Nauka 1968

    Google Scholar 

  • Kogan, B.S.: Thermodynamic properties of potassium phosphates, part V: Enthalpies of formation of sodium and potassium phosphates and of phosphoric acids. Zh. Fiz. Khim. 45, 723 (1971)

    Google Scholar 

  • Latimer, W.M.: The oxidation states of elements and their potentials in aqueous solutions. 391 pp. New York: Prentice Hall 1952

    Google Scholar 

  • Maslikova, M.A., Chemodanov, D.I.: Thermodynamic properties of some copper phosphates. Zh. Fiz. Khim. 46, 1878 (1972)

    Google Scholar 

  • Naumov, G.B., Ryzhenko, B.N., Khodakovsky, I.L.: Handbook of thermodynamic data (in russian). 239pp. Moscow: Atomizdat 1971

    Google Scholar 

  • Novikov, G.I., Gaidym, I.L., Orlovskii, V.P.: Tensimetric study of reduction of lanthanum phosphates with carbon. Zh. Fiz. Khim. 47, 1065–1066 (1973)

    Google Scholar 

  • Nriagu, J.O.: Lead orthophosphates, part. I: Solubility and hydrolysis of lead phosphate. Inorg. Chem. 11, 2499–2503 (1972)

    Google Scholar 

  • Oetting, F.L., McDonald, R.A.: The thermodynamic properties of magnesium pyrophosphates and magnesium orthophosphates. J. Phys. Chem. 63, 2737–2743 (1963)

    Google Scholar 

  • Parker, V.B., Wagman, D.D., Evans, W.H.: Selected values of chemical thermodynamic properties. Natl. Bur. Stand. Tech. Note 270-6, 119pp. (1971)

    Google Scholar 

  • Pourbaix, M.: Atlas d'équilibres électrochimiques. 644pp. Paris: Gauther-Villars 1963

    Google Scholar 

  • Robie, R.A., Waldbaum, D.R.: Thermodynamic properties of minerals and related substances at 298.15°K (25 °C) and one atmosphere (1.013 bars) pressure and at higher temperatures. U.S. Geol. Surv. Bull. 1259, 256 pp. (1968)

  • Rud'ko, P.K., Yaglov, V.N., Novikov, G.I.: Thermodynamic characteristics of some potassium phosphate. Obshch. Prikl. Khim. 6, 9–11 (1974)

    Google Scholar 

  • Selivanova, G.A., Leshchinskaya, Z.L.: Thermodynamic properties of cadmium pyrophosphate. Zh. Fiz. Khim. 45, 2393 (1971)

    Google Scholar 

  • Tananaev, I.V., Orlovskii, V.P., Khalikov, B.S., Osmanov, Sh.O., Bulgakov, V.I.: Evaluation of the enthalpy at 298 °K and entropy at 298 °K of scandium, yttrium and lanthanide orthophosphates. Dokl. Akad. Nauk Tadzh. SSSR 17, 42–44 (1974)

    Google Scholar 

  • Tardy, Y., Garrels, R.M.: Prediction of Gibbs energies of formation, part I: Relationships among Gibbs energies of formation of hydroxides, oxides and aqueous ions. Geochim. Cosmochim. Acta 40, 1051–1056 (1976)

    Google Scholar 

  • Tardy, Y., Garrels, R.M.: Prediction of Gibbs energies of formation, part II: Relationships among Gibbs energies of formation of silicates, oxides and aqueous ions. Geochim. Cosmochim. Acta 41, 87–92 (1977)

    Google Scholar 

  • Teterevkov, A.I.: Enthalpy of formation of polyacid salts. Zh. Fiz. Khim. 47, 2941 (1973)

    Google Scholar 

  • Usubaliev, Dzh.: Thermodynamic constants of rare earths phosphates. Zh. Fiz. Khim. 49, 1590 (1975)

    Google Scholar 

  • Volkov, A.I., Yaglov, V.N., Novikov, G.I.: Heats of formation of vanadyl phosphate and its hydrate. Russ. Phys. Chem. 48, 1701 (1974)

    Google Scholar 

  • Volkov, A.I., Yaglov, V.N., Novikov, G.I.: Heats of formation of cobalt and nickel orthophosphates octahydrates. Vesti. Akad. Navuk. B. SSSR. Ser. Khim. Navuk 124–125 (1975)

  • Wagman, D.D., Evans, W.H., Parker, V.B., Halow, I., Bailey, S.M., Schumm, R.H.: Selected values of chemical thermodynamic properties. Natl. Bur. Stand. Tech. Note 270-3, 264 pp. (1968)

  • Wagman, D.D., Evans, W.H., Parker, V.B., Halow, I., Bailey, S.M., Schumm, R.H.: Selected values of chemical thermodynamic properties. Natl. Bur. Stand. Tech. Note 270-4, 152 pp. (1969)

  • Wagman, D.D., Evans, W.H., Parker, V.B., Halow, I., Bailey, S.M., Schumm, R.H., Churney, K.L.: Selected values of chemical thermodynamic properties. Natl. Bur. Stand. Tech. Note 270-5, 49pp. (1971)

    Google Scholar 

  • Yaglov, V.N., Novikov, G.I., Sharap, L.A., Lefarova, K.Kh., Marinova, L.S.: Heat of formation of scandium orthophosphate. Zh. Fiz. Khim. 48, 769 (1974)

    Google Scholar 

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Tardy, Y., Vieillard, P. Relationships among Gibbs free energies and enthalpies of formation of phosphates, oxides and aqueous ions. Contr. Mineral. and Petrol. 63, 75–88 (1977). https://doi.org/10.1007/BF00371677

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  • DOI: https://doi.org/10.1007/BF00371677

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