Abstract
A description of the Gibbs energy of the various solid modifications of manganese at 101325 Pa has been obtained for the whole temperature range from 298 K to the melting point. The present analysis accounts for the effect of a magnetic transition in α-, γ-, and δ-Mn, which is treated using the Inden-Hillert-Jarl phenomenological model for the magnetic Gibbs energy. Our description involves smaller magnetic contributions to the entropy of these phases than suggested in the classical work by Weiss and Tauer. An expression for the Gibbs energy of the liquid phase is also reported.
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K. J. Tauer and R. J. Weiss, J. Phys. Chem. Solids 2:237 (1957).
R. J. Weiss and K. J. Tauer, J. Phys. Chem. Solids 4:135 (1958).
R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, K. K. Kelley, and D. D. Wagman, Selected Values for the Thermodynamic Properties of the Elements (American Society for Metals, Metals Park, Ohio, 1973), pp. 301–308.
B. F. Naylor, J. Chem. Phys. 13:329 (1945).
M. Hillert, Trita-Mac-0305 (Revised) (Royal Institute of Technology, Stockholm, Sweden, Feb. 1986).
P. D. Desai, J. Phys. Chem. Ref. Data 16:91 (1987).
G. Inden, Project Meeting Calphad V. Ch. 111, 4 (Düsseldorf, Max Planck Institut Eisenforsch., 1976), pp. 1–13.
M. Hillert and M. Jarl, Calphad 2:227 (1978).
A. Fernández Guillermet and P. Gustafson, High Temp. High Press. 16:591 (1985).
A. Fernández Guillermet, Int. J. Thermophys. 8:481 (1987).
A. Dinsdale, Unpublished (National Physical Laboratory, Teddington, Middlesex, U.K., 1985).
A. Fernández Guillermet, High Temp. High Press. 19:477 (1987).
A. Fernández Guillermet, Z. Metallkunde 78:639 (1987).
Zhong Shu Xing, D. D. Gohil, A. T. Dinsdale, and T. Chart, National Physical Laboratory DMA (A) 103, London (1985).
A. Fernández Guillermet, Calphad 13:1 (1989).
H. Thirring, Phys. Z. 14:867 (1913); O. Stern, Ann. Phys. Leipzig 51:237 (1916).
A. Fernández Guillermet and G. Grimvall, J. Less-Common Metals 147:195 (1989).
J. O. Andersson, A. Fernández Guillermet, P. Gustafson, M. Hillert, B. Jansson, B. Jönsson, B. Sundman, and J. Ågren, Calphad 11:95 (1987).
A. Paskin, J. Phys. Chem. Solids 2:232 (1957).
J. Donohue, The Structures of the Elements (R. E. Krieger, Malabar, Fla., 1982), pp. 191–200.
C. G. Shull and M. K. Wilkinson, Rev. Modern Phys. 25:100 (1953).
P. Franzosini and C. G. Losa, Z. Naturforsch. 19A:1348 (1964).
N. Mori and T. Mitsui, Phys. Lett. 39A:413 (1972).
N. S. Petrenko, V. P. Popov, and V. A. Finkel, Phys. Lett. 47A:471 (1974).
J. S. Kasper and B. W. Roberts, Phys. Rev. 15:537 (1956).
J. A. Oberteuffer, J. A. Marcus, L. H. Schwartz, and G. P. Felcher, Phys. Rev. B2:670 (1970).
T. Yamada, N. Kunitomi, Y. Nakai, D. E. Cox, and G. Shirane, J. Phys. Soc. Jap. 28:615 (1970).
Y. Masuda, K. Asayama, S. Kobayashi, and J. Itoh, J. Phys. Soc. Jap. 19:460 (1964).
T. Kohara and K. Asayama, J. Phys. Soc. Jap. 37:401 (1974).
S. Akimoto, T. Kohara, and K. Asayama, Sol. State Comm. 16:1227 (1975).
M. Katayama and K. Asayama, J. Phys. Soc. Jap. 44:425 (1978).
T. Shinkoda, K. I. Kumagai, and K. Asayama, J. Phys. Soc. Jap. 46:1754 (1979).
D. Meneghetti and S. S. Sidhu, Phys. Rev. 105:130 (1957).
G. E. Bacon, I. W. Dunmur, J. H. Smith, and R. Street, Proc. Roy. Soc. A241:223 (1957).
T. J. Hicks, A. R. Pepper, and J. H. Smith, J. Phys. C 1:1683 (1968).
Y. Ishikawa, H. Sekine, and K. Yamada, J. Phys. Soc. Jap. 37:874 (1974).
K. J. Tauer and R. J. Weiss, Phys. Rev. 100:1223 (1955).
H. Masumoto, S. Sawaya, and M. Kikuchi, J. Jap. Inst. Metals 35:723 (1971).
M. P. Ravdel and O. I. Yevdokimova, Izv. Akad. Nauk. SSSR Metally 5:204 (1973).
J. Kübler, J. Mag. Magn. Mater. 20:107 (1980).
G. Fuster, N. E. Brener, J. Callaway, J. L. Fry, Y. Z. Zhao, and D. A. Papaconstantopoulos, Phys. Rev. B 38:423 (1988).
S. G. Kang, H. Onodera, H. Yamamoto, and H. Watanabe, J. Phys. Soc. Jap. 36:975 (1974).
Y. Nakai and N. Kunitomi, J. Phys. Soc. Jap. 39:1257 (1975).
H. Yamauchi, H. Watanabe, Y. Suzuki, and H. Saito, J. Phys. Soc. Jap. 36:971 (1974).
J. S. Kasper and R. M. Waterstrat, Phys. Rev. 109:1551 (1958).
Y. Hamaguchi and N. Kunitomi, J. Phys. Soc. Jap. 19:1849 (1964).
G. Grimvall, The Electron-Phonon Interaction in Metals (North-Holland, Amsterdam, 1981).
G. Grimvall, Thermophysical Properties of Materials (North-Holland, Amsterdam, 1986).
A. Fernández Guillermet and Weiming Huang, Trita-Mac-0396 (Royal Institute of Technology, Stockholm, Sweden, Apr. 1989).
G. L. Guthrie, S. A. Friedberg, and J. E. Goldman, Phys. Rev. 139:1200 (1965).
C. P. Gazzara, R. M. Middleton, and R. J. Weiss, Phys. Lett. 10:257 (1964).
L. D. Armstrong and H. Grayson-Smith, Can. J. Res. 28A:51 (1950).
J. C. Ho and N. E. Phillips, Phys. Lett. 10:34 (1964).
A. Fernández Guillermet and G. Grimvall, Phys. Rev. B 40:1521 (1989).
G. Grimvall and J. Rosén, Int. J. Thermophys. 4:139 (1982); J. Rosén and G. Grimvall, Phys. Rev. B 27:7199 (1983).
M. Thiessen, Int. J. Thermophys. 9:159 (1988). See also G. Grimvall, M. Thiessen, and A. Fernández Guillermet, Phys. Rev. B 36:7816 (1987).
A. Fernández Guillermet and M. Hillert, Calphad 12:337 (1988).
M. Braun, R. Kohlhaas, and O. Vollmer, Z. Angew. Phys. 25:365 (1968).
S. Sato and O. J. Kleppa, J. Chem. Thermodyn. 11:521 (1979).
B. Jansson, Computer Operated Methods for Equilibrium Calculations and Evaluation of Thermodynamic Model Parameters, Ph.D. thesis (Dept. Phys. Met., Royal Institute of Technology, Stockholm, Sweden, 1984).
F. Wüst, A. Meuthen, and R. Durrer, Forschungsarbeiten Auf dem Gebiete des Ingenieurwesens, No. 204 (Springer, Berlin, 1918).
L. D. Armstrong and H. Grayson-Smith, Can. J. Res. 27A:9 (1949).
L. Kaufman and H. Bernstein, Computer Calculation of Phase Diagrams (Academic Press, New York, 1970); cf. also Ref. 57.
N. E. Phillips, Crit. Rev. Solid State Sci. 2:467 (1971).
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Fernández Guillermet, A., Huang, W. Thermodynamic analysis of manganese. Int J Thermophys 11, 949–969 (1990). https://doi.org/10.1007/BF00503586
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DOI: https://doi.org/10.1007/BF00503586