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Melting of Iron
Language
English
Status
Published
JCR Journal
JCR Journal
Title of the book
Issue/vol(year)
38 (1974)
Pages (printed)
327-334
Issued date
April 10, 1974
Keywords
Abstract
A theoretical melting curve for iron is determined in the pressure range of
the Earth's core by a relation derived from the Ross-Lindemann melting
criterium. On this basis the melting point of pure iron is estimated to be
about 4800°C at the mantle-core boundary, and 6600°C at the inner
core-outer core boundary with a melting point gradient of about 0-8
deglkm.
the Earth's core by a relation derived from the Ross-Lindemann melting
criterium. On this basis the melting point of pure iron is estimated to be
about 4800°C at the mantle-core boundary, and 6600°C at the inner
core-outer core boundary with a melting point gradient of about 0-8
deglkm.
References
Alder, B. J., 1966. Is the mantle soluble in the core?, J. geoplzys. Res., 71,4973-4979.
Alsop, L. E., 1963. Free spheroidal vibrations of the earth at very long periods Part
11: Effect of rigidity of the inner core, Bull. seism. Soc. Am., 53, 503-515.
Barker, J. A., 1963. Lattice theory of liquid state. The Macmillan Co., New York.
Birch, F., 1940. The alpha-gamtila transformation of iron at high pressures, and the
problem of the earth's magnetism, Am. J. Sci., 238, 192-21 1.
Birch, F., 1952. Elasticity and constitution of the earth's interior, J, geophys. Res.,
57,227-286.
Birch, F., 1963. Some geophysical applications of high-pressure research, in Solids
under pressure, pp 137-162, eds W. Paul and D. M. Warschauer, McGraw-Hill,
New York.
Birch, F., 1964. Density and composition of mantle and core, J. geophys. Res., 69,
4371-4388.
Birch, F., 1972. The melting relations of iron, and temperatures in the earth's core,
Geophys. J. R. astr. Soc., 29, 373-387.
Bolt, B. A. & Qamar, A., 1970. Upper bound to the density jump at the boundary of
the earth's inner core. Nature, 328, 148-160. , ,
Boschi, E., 1974. On the melting curve at high pressures, Geophys. J. R. astr. Soc., 37,
45-50.
Boschi, E. & Caputo, M., 1969. Equations of state at high pressure and the earth's
interior, Riv. Nuoro Cinzento, 1, 441-513.
Boschi, E. & Caputo, M., 1970. Approximate equation of state of some metals at high
pressure from thon~as-Fermi model, Ann. GeoJ, 23, 159-176
Boschi, E. & Caputo, M., 1972. Equations of state for silicates in metallic form,
Pageoplz, 101, 5-9.
Bullard, E., 1954. In The earth as aplanet, ed. G. P. Kuiper, University of Chicago Press,
Chicago.
Bullen, K. E., 1946. A hypothesis on compressibility at pressures of the order of a
million atmospheres, Nature, 157, 405.
Bullen, K. E., 1949. Compressibility pressure hypothesis of the earth's interior, Ilforz.
Not. R. astr. Soc. Geophys. Szippl., 5, 355-368.
Bullen, K. E., 1950. Theoretical travel-times of S waves in the earth's inner core, MOII.
Not. R. astr. Soc. Geophys. Strppl, 6, 125-128.
Cook, A. H., 1972. The inner core of the earth, Lincei-Rend. Sci. jis. mat. rmt., 52,
576-580.
Derr, J. S., 1969. Internal structure of the earth inferred from free oscillations, J.
geophys. Res., 74, 5202-5220.
Dziewonski, A. M., 1971. Overtones of free oscillations and the structure of the
earth's interior, Science, 1972, 1336-1338.
Dziewonski, A. M. & Gilbert, F., 1972. Observation of ilorinal modes from 84 recordings
of the Alaskan earthquake of 1964 March 28, Geophys. J. R. asfr. Soc.
27, 393-446.
Gilvarry, J. J., 1956. Equation of the fusion curve, Phys. Rev., 102, 325-331.
Hansen, J. P., 1970. Phase transition of the Lennard-Jones system. 11. High temperature
limit, Phys. Rev., A2, 221-230.
Higgins, G. & Kennedy, G. C., 1971. The adiabatic gradient and the melting point
gradient in the core of the earth, J. geop/?ys. Res., 76, 1870-1878.
Mill, T. L., 1960. An introduction to statistical thermodynamics, Addison-Wesley
Publishing Co., Reading, Mass.
Hiwatari, Y. & Matsuda, H., 1972a. Ideal three-phase model and the melting of
molecular crystal and metals, Progr. theor. Phys., 47, 741-764.
Hiwatari, Y. & hilatsuda, H., 1972b. 'Ideal three-phase model' and the melting of
molecular crystals and metals, in The properties of liquid metals, ed. S. Takeuchi,
Taylor and Francis Ltd, London.
Hoover, W. G., Ross, M,, Johnson, K. W., Henderson, D., Barker, J. A. & Brown,
B. C., 1970. Soft sphere equation of state, J. Chei~zP. hys., 52,4931-4939.
Hoover, W. G. & Ross, M., 1970. Statistical theories of melting, University of California,
Livermore.
Jordan, T. H. Franklin, J. N., 1971. Optimal solutions to a lunar inverse problem
in geophysics, Proc. Nat. Acad. Sci., 68, 219-293.
Julian, B. R., Davies, D. & Sheppard, R. M., 1972. PKJKP, N~rture, 235, 317-3 18
Kennedy, G. C. & Higgins, G., 1973. The core paradox, J. geophys. Res,, 78,900-904.
Knopoff, L. & MacDonald, G. J. F., 1960. An equation of state for the core of the
earth, Geophys. J. R. astr. Soc., 3, 68-77.
Knopoff, L. & Shapiro, J. N., 1969. Comments on the interrelashionships between
Griineissen's parameter and shock and isothermal equations of state, J. geophys.
Res., 74, 1439-1450.
Kraut, E. A. & Kennedy, G. C., 1966. New melting law at high pressure, Phys. Re~l.,
151, 668-675.
Leppaluoto, D. A., 1972. Melting of iron by significant structure theory, Phys.
Earth Planet Irzt., 6, 175-1 81.
MacDonald, G. J. F. & Knopoff, L., 1958, On the Chemical compositioil of the outer
core, Geophys. J. R. astr. Soc., 1, 284-297.
Matsuda, H., 1969. On the three phases of the classical system of particles, Prop.
theor. Pl~ys.,4 2, 140-141.
McQueen, R. G., Fritz, J. N. & Marsh, S. P., 1964. On the composition of the earth's
interior, J. geophys. Res., 69, 2947-2965.
Pekeris, C. L., Alterman, 2. & Jarosch, H., 1962. EKect of the rigidity of the inner
core on the f~indamentaol scillation of the earth, Proc. Nut. Acad. Sci.,49,592-595.
Kaxsey, W. H., 1950. On the compressibility of the earth, Mon. Not. R. astr. Soc.
Geophys. Szppl., 6, 42-49.
Ree, F. H., 1971. Computer calculations for model systems in Physical chemistry, an
advanced treatise, Vol. Villa ed. D. Henderson, Academic Press, New York,
London.
Ross, M., 1969. Generalized Lindemann melting law, Phys. Rev., 184, 233-242.
Royce, E. B., 1967. Stability of the electronic configuration and compressibility of
electron orbitals under shock wave compression, Phys. Rev., 164, 929-943.
Simon, F. E., 1953. The melting of iron at high pressures, Nature, 172, 746-747.
Strong, H. M., 1959. The experimental fusion curve of iron to 96000 atmospheres,
J. geophys. Res., 64, 653-659.
Tuerpe, D. R. & Keeler, R. N., 1967. Anomalous melting transition in the significant
structure theory of liquids, J. Chenz. Phys., 47, 4283-4285.
Valle, P. E., 1955. Una stima del punto di fusione del ferro sotto alte pressioni, Anrz.
Geof., 8, 189-198.
Van Thiel, M. (editor), 1966. Compendiu~n of shoclc wave data, University of California,
Livermore 50108.
Verhoogen, J., 1973. Thermal regime of the earth's core, Phys. Earth Planet. Int., 1,
47-58.
Zharkov, V. N., 1954. The fusion temperature of the earth's mantle and the fusion
temperature of iron under high pressures, Bull. Acad. Scil U.S.S.R., Geophys.
Series, 3, 315-330.
Alsop, L. E., 1963. Free spheroidal vibrations of the earth at very long periods Part
11: Effect of rigidity of the inner core, Bull. seism. Soc. Am., 53, 503-515.
Barker, J. A., 1963. Lattice theory of liquid state. The Macmillan Co., New York.
Birch, F., 1940. The alpha-gamtila transformation of iron at high pressures, and the
problem of the earth's magnetism, Am. J. Sci., 238, 192-21 1.
Birch, F., 1952. Elasticity and constitution of the earth's interior, J, geophys. Res.,
57,227-286.
Birch, F., 1963. Some geophysical applications of high-pressure research, in Solids
under pressure, pp 137-162, eds W. Paul and D. M. Warschauer, McGraw-Hill,
New York.
Birch, F., 1964. Density and composition of mantle and core, J. geophys. Res., 69,
4371-4388.
Birch, F., 1972. The melting relations of iron, and temperatures in the earth's core,
Geophys. J. R. astr. Soc., 29, 373-387.
Bolt, B. A. & Qamar, A., 1970. Upper bound to the density jump at the boundary of
the earth's inner core. Nature, 328, 148-160. , ,
Boschi, E., 1974. On the melting curve at high pressures, Geophys. J. R. astr. Soc., 37,
45-50.
Boschi, E. & Caputo, M., 1969. Equations of state at high pressure and the earth's
interior, Riv. Nuoro Cinzento, 1, 441-513.
Boschi, E. & Caputo, M., 1970. Approximate equation of state of some metals at high
pressure from thon~as-Fermi model, Ann. GeoJ, 23, 159-176
Boschi, E. & Caputo, M., 1972. Equations of state for silicates in metallic form,
Pageoplz, 101, 5-9.
Bullard, E., 1954. In The earth as aplanet, ed. G. P. Kuiper, University of Chicago Press,
Chicago.
Bullen, K. E., 1946. A hypothesis on compressibility at pressures of the order of a
million atmospheres, Nature, 157, 405.
Bullen, K. E., 1949. Compressibility pressure hypothesis of the earth's interior, Ilforz.
Not. R. astr. Soc. Geophys. Szippl., 5, 355-368.
Bullen, K. E., 1950. Theoretical travel-times of S waves in the earth's inner core, MOII.
Not. R. astr. Soc. Geophys. Strppl, 6, 125-128.
Cook, A. H., 1972. The inner core of the earth, Lincei-Rend. Sci. jis. mat. rmt., 52,
576-580.
Derr, J. S., 1969. Internal structure of the earth inferred from free oscillations, J.
geophys. Res., 74, 5202-5220.
Dziewonski, A. M., 1971. Overtones of free oscillations and the structure of the
earth's interior, Science, 1972, 1336-1338.
Dziewonski, A. M. & Gilbert, F., 1972. Observation of ilorinal modes from 84 recordings
of the Alaskan earthquake of 1964 March 28, Geophys. J. R. asfr. Soc.
27, 393-446.
Gilvarry, J. J., 1956. Equation of the fusion curve, Phys. Rev., 102, 325-331.
Hansen, J. P., 1970. Phase transition of the Lennard-Jones system. 11. High temperature
limit, Phys. Rev., A2, 221-230.
Higgins, G. & Kennedy, G. C., 1971. The adiabatic gradient and the melting point
gradient in the core of the earth, J. geop/?ys. Res., 76, 1870-1878.
Mill, T. L., 1960. An introduction to statistical thermodynamics, Addison-Wesley
Publishing Co., Reading, Mass.
Hiwatari, Y. & Matsuda, H., 1972a. Ideal three-phase model and the melting of
molecular crystal and metals, Progr. theor. Phys., 47, 741-764.
Hiwatari, Y. & hilatsuda, H., 1972b. 'Ideal three-phase model' and the melting of
molecular crystals and metals, in The properties of liquid metals, ed. S. Takeuchi,
Taylor and Francis Ltd, London.
Hoover, W. G., Ross, M,, Johnson, K. W., Henderson, D., Barker, J. A. & Brown,
B. C., 1970. Soft sphere equation of state, J. Chei~zP. hys., 52,4931-4939.
Hoover, W. G. & Ross, M., 1970. Statistical theories of melting, University of California,
Livermore.
Jordan, T. H. Franklin, J. N., 1971. Optimal solutions to a lunar inverse problem
in geophysics, Proc. Nat. Acad. Sci., 68, 219-293.
Julian, B. R., Davies, D. & Sheppard, R. M., 1972. PKJKP, N~rture, 235, 317-3 18
Kennedy, G. C. & Higgins, G., 1973. The core paradox, J. geophys. Res,, 78,900-904.
Knopoff, L. & MacDonald, G. J. F., 1960. An equation of state for the core of the
earth, Geophys. J. R. astr. Soc., 3, 68-77.
Knopoff, L. & Shapiro, J. N., 1969. Comments on the interrelashionships between
Griineissen's parameter and shock and isothermal equations of state, J. geophys.
Res., 74, 1439-1450.
Kraut, E. A. & Kennedy, G. C., 1966. New melting law at high pressure, Phys. Re~l.,
151, 668-675.
Leppaluoto, D. A., 1972. Melting of iron by significant structure theory, Phys.
Earth Planet Irzt., 6, 175-1 81.
MacDonald, G. J. F. & Knopoff, L., 1958, On the Chemical compositioil of the outer
core, Geophys. J. R. astr. Soc., 1, 284-297.
Matsuda, H., 1969. On the three phases of the classical system of particles, Prop.
theor. Pl~ys.,4 2, 140-141.
McQueen, R. G., Fritz, J. N. & Marsh, S. P., 1964. On the composition of the earth's
interior, J. geophys. Res., 69, 2947-2965.
Pekeris, C. L., Alterman, 2. & Jarosch, H., 1962. EKect of the rigidity of the inner
core on the f~indamentaol scillation of the earth, Proc. Nut. Acad. Sci.,49,592-595.
Kaxsey, W. H., 1950. On the compressibility of the earth, Mon. Not. R. astr. Soc.
Geophys. Szppl., 6, 42-49.
Ree, F. H., 1971. Computer calculations for model systems in Physical chemistry, an
advanced treatise, Vol. Villa ed. D. Henderson, Academic Press, New York,
London.
Ross, M., 1969. Generalized Lindemann melting law, Phys. Rev., 184, 233-242.
Royce, E. B., 1967. Stability of the electronic configuration and compressibility of
electron orbitals under shock wave compression, Phys. Rev., 164, 929-943.
Simon, F. E., 1953. The melting of iron at high pressures, Nature, 172, 746-747.
Strong, H. M., 1959. The experimental fusion curve of iron to 96000 atmospheres,
J. geophys. Res., 64, 653-659.
Tuerpe, D. R. & Keeler, R. N., 1967. Anomalous melting transition in the significant
structure theory of liquids, J. Chenz. Phys., 47, 4283-4285.
Valle, P. E., 1955. Una stima del punto di fusione del ferro sotto alte pressioni, Anrz.
Geof., 8, 189-198.
Van Thiel, M. (editor), 1966. Compendiu~n of shoclc wave data, University of California,
Livermore 50108.
Verhoogen, J., 1973. Thermal regime of the earth's core, Phys. Earth Planet. Int., 1,
47-58.
Zharkov, V. N., 1954. The fusion temperature of the earth's mantle and the fusion
temperature of iron under high pressures, Bull. Acad. Scil U.S.S.R., Geophys.
Series, 3, 315-330.
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