Abstract
A differential relation is suggested, which relates the energy of intermolecular interaction (IMI) to the P-V-T parameters of a simple condensed system. This relation is used to derive crossover relations which describe the thermophysical properties of the liquid and vapor phases in the critical region.
Similar content being viewed by others
References
Fisher, I.Z., Statisticheskaya teoriya zhidkostei (Statistical Theory of Liquids), Moscow: GIFML, 1961.
Nozdrev, V.F. and Senkevich, A.A., Kurs statisticheskoi fiziki (A Course of Statistical Physics), Moscow: Vysshaya Shkola, 1969.
Lutskii, A.E., Zh. Fiz. Khim., 1956, vol. 30, no. 3, p. 487.
Kitaigorodskii, A.I., Molekulyarnye kristally (Molecular Crystals), Moscow: Nauka, 1971.
Tatevskii, V.M., Fiziko-khimicheskie svoistva individual’nykh uglevodorodov (The Physicochemical Properties of Individual Hydrocarbons), Moscow: Gostoptekhizdat, 1960.
Vargaftik, N.B., Spravochnik po teplofizicheskim svoistvam gazov i zhidkostei, Moscow: Nauka, 1972. Translated under the title Tables of the Thermophysical Properties of Liquids and Gases, New York: Halsted Press, 1975.
NIST Chemistry WebBook, NIST Standard Reference Database Number 69, Linstrom, P.J. and Mallard, W.G., Eds., Gaithersburg MD, 2005. 20899 (http://web-book.nist.gov).
Neruchev, Yu.A., Diskretno-kontinual’naya model’ dlya prognozirovaniya ravnovesnykh svoistv organicheskikh zhidkostei (A Discrete-Continual Model for Prediction of Equilibrium Properties of Organic Liquids), Kursk: Izd. KGPU (Kursk State Pedagogical Univ.), 2001.
Sol’vatokhromiya. Problemy i metody (Solvatochromism. Problems and Methods), Bakhshiev, N.G., Ed., Leningrad: Izd. LGU (Leningrad State Univ.), 1989.
Stewart, R. and Jacobson, R., Phys. Chem. Ref. Data, 1989, vol. 18, no. 2, p. 639.
Teleger, Ch., Span, A., and Wagner, W., J. Phys. Chem. Ref. Data, 1999, vol. 28, no. 3, p. 779.
Rabinovich, V.A., Vasserman, A.A., Nedostup, V.I., and Veksler, L.S., Teplofizicheskie svoistva neona, argona, kriptona, i ksenona (Thermal Properties of Neon, Argon, Krypton, and Xenon), Moscow: Izd. Standartov, 1976.
Barash, Yu.S., Sily van-der-Vaal’sa (Van der Waals Forces), Moscow: Nauka, 1988.
Zotov, V.V., Melikhov, Yu.F., Mel’nikov, G.A., and Neruchev, Yu.A., Skorost’ zvuka v zhidkikh uglevodorodakh (The Sound Velocity in Liquid Hydrocarbons), Kursk: Izd. KGPU (Kursk State Pedagogical Univ.), 1995.
Ul’trazvuk i fiziko-khimicheskie svoistva veshchestva. Sbornik nauchnykh trudov kafedry obshchei fiziki Kurskogo gospedinstituta, 1966–1981, Vyp. 1–15 (Ultrasound and Physicochemical Properties of Matter. Collection of Papers of the Chair of General Physics of the Kursk State Pedagogical Institute), 1966–1981, issues 1–15.
Ul’trazvuk i fiziko-khimicheskie svoistva veshchestva. Sbornik nauchnykh trudov kafedry obshchei fiziki Kurskogo gospedinstituta, 1982–1987, Vyp. 16–20 (Ultrasound and Physicochemical Properties of Matter. Collection of Papers of the Chair of General Physics of the Kursk State Pedagogical Institute), 1982–1987, issues 16–20.
Neruchev, Yu.A., The Elastic Properties and Molecular Structure of n-Paraffins on the Saturation curve, Cand. Sci. (Phys.-Math.) Dissertation, Moscow: Moscow Regional Pedagogical Institute, 1970.
Neruchev, Yu.A., Bolotnikov, M.F., and Zotov, V.V., Teplofiz. Vys. Temp., 2005, vol. 43, no. 2, p. 274 (High Temp. (Engl. transl.), vol. 43, no. 2, p. 266).
Amirkhanov, Kh.I., Alibekov, B.G., Vikhrov, D.I., and Mirskaya, V.A., Izokhornaya teploemkost’ i drugie kaloricheskie svoistva uglevodorodov metanovogo ryada (Isochoric Heat Capacity and Other Caloric Properties of Methane Series), Makhachkala: Dagestanskoe Knizhnoe Izdatel’stvo, 1981.
Spravochnik khimika (Chemist’s Handbook), Moscow: Khimiya, 1967, vol. 4.
Timmermans, J., Physico-Chemical Constants of Pure Organic Compounds, New York, 1965.
Vukalovich, M.P., Termodinamicheskie svoistva vody i vodyanogo para (The Thermodynamic Properties of Water and Water Vapor), Moscow: Mashgiz, 1958.
Uravneniya sostoyaniya gazov i zhidkostei (Equations of State for Gases and Liquids) Novikov, I.I., Ed., Moscow: Nauka, 1975.
Ginell, R., Kirsh, A.S., and Ginell, A.M., Fluid System, 1972, vol. 76, no. 314.
Bagdasaryan, S.S. and Arutyunyan, G.S., Izv. Vyssh. Uchebn. Zaved. Neft’Gaz, 1976, no. 12, p. 67.
Yakovlev, V.F. and Yakovlev, V.V., Zh. Fiz. Khim., 1979, vol. 53, no. 10, p. 2676.
Shakhparonov, M.I., Vvedenie v sovremennuyu teoriyu rastvorov (Introduction to the Modern Theory of Solutions), Moscow: Vysshaya Shkola, 1976.
Mezhmolekulyarnoe vzaimodeistvie: ot dvukhatomnykh molekul do biopolimerov (Intermolecular Interaction: from Diatomic Molecules to Biopolymers), Puelmen, V., Ed., Moscow: Mir, 1981 (Russ. transl.).
Krasnov, K.S., Molekuly i khimicheskaya svyaz’ (Molecules and Chemical Bond), Moscow: Vysshaya Shkola, 1977.
Thermal Neutron Scattering, Egalstaff, P.A., Ed., London: Academic Press, 1965. Translated under the title Rasseyanie teplovykh neitronov, Atomizdat, Moscow, 1970.
Instrumental’nye metody issledovaniya nefti (Instrumental Methods of Oil Studies) Ivanov, G.V., Ed., Novosibirsk: Nauka, 1987.
Sperkach, V.S. and Shakhparonov, M.I., Zh. Fiz. Khim., 1986, vol. 64, no. 8, p. 2216.
Robertson, D.H., Brown, F.B., and Navon, J.M., Chem. Phys., 1989, vol. 90, no. 6, p. 3221.
Pings, S.V, in Physics of Simple Liquids, Temperley, H.N.V., Rowlinson, J., and Rushbrooke, G.S., Eds., Amsterdam: North-Holland, 1968. Translated under the title Fizika prostykh zhidkostei, Moscow: Mir, 1973.
Mikhailov, I.G., Solov’ev, V.A., and Syrnikov, Yu.P., Osnovy molekulyarnoi akustiki (Principles of Molecular Acoustics), Moscow: Nauka, 1964.
Careri, G., Order and Disorder in Matter, Reading, Mass.: Benjamin, 1984. Translated under the title Poryadok i besporyadok v strukture materii, Moscow, Mir, 1985.
Brout, R.H., Phase Transitions, New York: Benjamin, 1965. Translated under the title Fazovye perekhody, Moscow, Mir, 1967.
Stanley, H., Introduction to Phase Transitions and Critical Phenomena, Oxford: Pergamon, 1971. Translated under the title Fazovye perekhody i kriticheskie yavleniya, Moscow: Mir, 1973.
Lysenko, V.F. and Yakovleva, M.V., Asimptoticheskie kriticheskie indeksy. Obzor eksperimental’nykh issledovanii (Asymptotic Critical Exponents: A Review of Experimental Investigations). Available from VINITI, Minsk, 1990, no. 3184-V90.
Anisimov, M.A., Kriticheskie yavleniya v zhidkostyakh i zhidkikh kristallakh (Critical Phenomena in Liquids and Liquid Crystals), Moscow: Nauka, 1987.
Kaplan, I.G., Rodimova, O.B., and Fomin, O.O., in Spektral’nye proyavleniya mezhmolekulyarnykh vzaimodeistvii v gazakh (Spectral Manifestations of Intermolecular Interactions in Gases), Novosibirsk: Nauka, 1982, p. 51.
Grigor’ev, B.A., Gerasimov, A.A., Kurumov, D.S., and Vasil’ev, Yu.L., Issledovanie termodinamicheskikh svoistv normal’nogo geksana vdol’ linii nasyshcheniya. Ul’trazvuk i termodinamicheskie svoistva veshchestva (Investigation of Thermodynamic Properties of Normal Hexane along the Saturation Curve), Kursk: Izd. KGPI (Kursk State Pedagogical Inst.), 1983, p. 22.
Badalyan, A.G., Keramidi, A.S., Kurumov, D.S., and Grigor’ev, B.A., Izv. Vyssh. Uchebn. Zaved. Neft’ Gaz, 1986, no. 9, p. 54.
Friend, D.G., Ely, J.F., and Ingkeim, H., J. Phys. Chem. Ref. Data, 1989, vol. 18, no. 2, p. 583.
Friend, D.G., Ingkeim, H., and Ely, J.F., J. Phys. Chem. Ref. Data, 1991, vol. 20, no. 2, p. 275.
Stewart, R.B. and Jacobson, R.T., J. Phys. Chem. Ref. Data, 1991, vol. 20, no. 5, p. 639.
Gladon, C., Cryogenics, 1971, vol. 11, no. 3, p. 205.
Baidakov, V.G. and Skripov, V.P., Zh. Eksp. Teor. Fiz., 1978, vol. 75, issue 3(9), p. 1007.
Brutschy, B. and Hobza, P., Chem. Rev., 2000, vol. 100, no. 11, p. 3861.
Chalasinski, G. and Gutowski, M., Chem. Rev., 1988, vol. 88, no. 6, p. 815.
Zavtrak, S.T., J. Phys. A, 1990, vol. 23, p. 1493.
Kaplan, I.G. and Rodimova, O.B., Usp. Fiz. Nauk, 1978, vol. 126, no. 3, p. 403.
Kitaigorodskii, A.N., Usp. Fiz. Nauk, 1979, vol. 127, no. 3, p. 390.
Williams, D.E., Acta Crystallogr., 1974, vol. 30, p. 71.
Lisal, M., Smith, W.R., and Nezbeda, I., J. Phys. Chem. B, 1999, vol. 103, p. 10496.
Cornell, W.D., Cieplak, P., Bayly, C.I. et al., J. Am. Chem. Soc., 1995, vol. 117, p. 5179.
Shpil’rain, E.E. and Kessel’man, P.M., Osnovy teorii teplofizicheskikh svoistv veshchestv (Fundamentals of the Theory of Thermophysical Properties of Substances), Moscow: Energiya, 1977.
Abdulagatov, A., Stepanov, G., and Abdulagatov, I., Fluid Phase Equilib., 2003, vol. 209, p. 55.
Ambrose, D. and Tsonopoulas, C., J. Chem. Eng. Data, 1995, vol. 40, no. 3, p. 531.
Miyamoto, H. and Watanabe, K., Int. J. Thermophys., 2000, vol. 21, no. 5, p. 1045.
Author information
Authors and Affiliations
Additional information
Original Russian Text © Yu.A. Neruchev, M.F. Bolotnikov, 2008, published in Teplofizika Vysokikh Temperatur, Vol. 46, No. 1, 2008, pp. 45–58.