Thermodynamic Assessment of the V–N System
-
Yong Du
Abstract
A consistent thermodynamic data set for the V–N system is obtained by a computer-aided least squares method applied to all of the experimental phase diagram and thermodynamic data available from the literature. The sublattice model V1(N, Va)a is used to model the phases: fcc (a = 1), bcc (a = 3), and hcp (a = 0.5). The liquid phase is described by the Redlich-Kister formula, and the gas phase is treated as an ideal gas. Special attention is paid to the modeling of the fcc phase with its exceptional bulk of experimental data. This phase is first analyzed by an ideal solution, then by a regular, and finally by a subregular interaction in the nitrogen sublattice. The other solution phases are analyzed with similar modeling procedures. This step-by-step analysis procedure permits insight into reliable estimations for the parameters at each of the higher level models. Comparisons between the calculated and measured phase diagram and thermodynamic quantities show that most of the experimental information is satisfactorily accounted for by the thermodynamic calculation. Inconsistent experimental information is identified and ruled out. The thermo-dynamic property of the fcc phase in the V–N system is compared with those in the Cr–N and Ti–N systems and related to the Neumann-Kopp’s rule.
Funding statement: One of the authors (Yong Du) gratefully acknowledges the grant released by Alexander von Humboldt Foundation. The authors are grateful to Professor W. Lengauer for providing new experimental data [97Tei]. Thanks are also due to Drs. K. J. Zeng, A. Pisch, and F. Goesmann for helpful discussions. This project was partially supported by the BMBF under grant no. 03K72058
Literature
9Sla Slade, R. E.; Higson, G. I.: J. Chem. Soc. 115 (1919) 215–216.10.1039/CT9191500215Suche in Google Scholar
25Fri Friederich, E.; Sittig, L.: Z. Anorg. Allgem. Chem. 143 (1925) 293–320.10.1002/zaac.19251430121Suche in Google Scholar
38Sat Satoh, S. I.: Sci. Paper I.P.C.R. 34 (1938) 241–249.Suche in Google Scholar
48Red Redlich, O.; Kister, A. T.: Indust. Eng. Chem. 40 (1948) 345–348.10.1021/ie50458a036Suche in Google Scholar
49Hah Hahn, H.: Z. Anorg. Allgem. Chem. 258 (1949) 58–68.10.1002/zaac.19492580107Suche in Google Scholar
49Kin King, E. G.: J. Am. Chem. Soc. 71 (1949) 316–317.10.1021/ja01169a087Suche in Google Scholar
49Sho Shomate, C. H.; Kelley, K. K.: J. Am. Chem. Soc. 71 (1949) 314–315.10.1021/ja01169a086Suche in Google Scholar
54Ros Rostoker, W.; Yamamoto, A.: Trans. ASM 46 (1954) 1136–1163.Suche in Google Scholar
55Tur Turkdogan, E. T.; Fenn, E. M.: J. Iron Steel Inst. 181 (1955) 343–344.Suche in Google Scholar
63Mah Mah, A. D.: U.S. Bur. Mines Rep. Invest. NO 6177, 1963.Suche in Google Scholar
64Bra Brauer G.; Schnell, W.-D.: J. Less-Common Met. 6 (1964) 326–332.10.1016/0022-5088(64)90130-4Suche in Google Scholar
65Hör Hörz, G.; Gebhardt, E.; Durrschnabel, W.: Z. Metallkd. 56 (1965) 554–560.Suche in Google Scholar
66Tot Toth, L. E.; Wang, C. P.; Yen, C. M.: Acta Metall. 14 (1966) 1403–1408.10.1016/0001-6160(66)90160-XSuche in Google Scholar
69Mon Monroe, J. R.; Cost, J. R.: Trans. Met. Soc. AIME 245 (1969) 1079–1082.Suche in Google Scholar
69Vol Voleinik, V. V.; Shabdenov, B. A.: Fiz. Khim. Elektrokhim. Rasplov. Solei Shlakov 1 (1969) 157–162.Suche in Google Scholar
70Hil Hiollert, M; Staffansson, L. I.: Acta Chem. Scand. 24 (1970) 3618–3626.10.3891/acta.chem.scand.24-3618Suche in Google Scholar
70Kau Kaufman, L.; Bernstein, H.: Computer Calculation of Phase Diagrams, Academic Press, New York and London (1970).Suche in Google Scholar
70Shu Shurik, A. G.; Tomilin, I. A.: Sb. Nauch. Tr. Perm. Politekh. Inst. 71 (1970) 157–160.Suche in Google Scholar
71Hen Henry, J. L.; O’hare, S. A.; McCune, R. A.; Krug, M. P.: J. Less-Common Met. 25 (1971) 39–47.10.1016/0022-5088(71)90063-4Suche in Google Scholar
71Hör Hörz, G.: Z. Metallkd. 62 (1971) 208–216.Suche in Google Scholar
71Pan Pankratz, L. B.; Stuve, J. M.; Poppleton, H. O.; Oden, L. L.; Mah, A. D.: U.S. Bur. Mines Rep. Invest. NO 7585, 1971.Suche in Google Scholar
71Pot Potter; D.; Altstetter C.: Acta Metall. 19 (1971) 881–886.10.1016/0001-6160(71)90080-0Suche in Google Scholar
72Koz Kozheurov, V. A.; Zhikharev, V. M.; ShishKov, V.I.; Gritshina, G. V.: Izv.Vyssh. Ucheb. Zaved. Chern. Met. 8 (1972) 10–13.Suche in Google Scholar
73Far Farber M.; Srivastava, R. D.: J. Chem. Soc., London, Faraday Trans. 69 (1973) 390–398.10.1039/f19736900390Suche in Google Scholar
73Rev Revyakin, A. V.; Kozina, L. N.: Russ. Metall. 2 (1973) 51–53.Suche in Google Scholar
74Ett Ettmayer P.; Kieffer, R.; Hattinger, F.: Metall. 28 (1974) 1151–1156.Suche in Google Scholar
74Hör Hörz, G.: J. Less-Common Met. 35 (1974) 207–225.10.1016/0022-5088(74)90232-XSuche in Google Scholar
74Pot Potter, D. I.; Epstein, H. D.; Goldstein, B. M.: Metall. Trans. 5 (1974) 2075–2082.10.1007/BF02644501Suche in Google Scholar
75Arb Arbuzov, M. P.; Khaenko, B. V.; Frenkel, O. A.: Izv. Akad. Nauk SSSR, Neorg. Mater. 11 (1975) 236–241.Suche in Google Scholar
75Cha Chase, M. W.; Curnutt, H.; Prophet, H.; McDonald, R. A.; Syverud, A. N.: J. Phys. Chem. Ref. Data 4 (1975) 117–119.10.1063/1.555517Suche in Google Scholar
76Ero Eron’yan, M. A.; Avarbe, R. G.; Danisina, T. N.: High Temperature 14 (1976) 359–360.Suche in Google Scholar
77Kha Khaenko, B. V.: Dopov. Akad. Nauk Ukr. RSR, Ser. A: Fiz.-Mat. Tekh. Nauki 3 (1977) 275–279.Suche in Google Scholar
77Luk Lukas, H. L.; Henig, E.-Th.; Zimmermann, B.: CALPHAD 1 (1977) 225–236.10.1016/0364-5916(77)90002-5Suche in Google Scholar
78Kha Khaenko, B. V.; Fak, V. G.: Izv. Akad. Nauk SSSR, Neorg. Mater. 14 (1978) 1294–1301.Suche in Google Scholar
78Ono Onozuka, T.: J. Appl. Cryst. 11 (1978) 132–136.10.1107/S0021889878012893Suche in Google Scholar
79Chr Christensen, A. N.; Lebech, B.: Acta Cryst. B35 (1979) 2677–2678.10.1107/S0567740879010141Suche in Google Scholar
80Lit Litvinenko, V. F; Bolgar A. S.; Kas’yan, V.I.; Shvedova, L. K.; Timofeeva, I. I.: Poroshk. Metall. 2 (1980) 46–49.Suche in Google Scholar
80Nou Nouet, G.; Vicens, J.; Delavignette, P.: Phys. Status Solidi (A) 62 (1980) 449–457.10.1002/pssa.2210620212Suche in Google Scholar
81Sun Sundman, B.; Agren, J.: J. Phys. Chem. Solids 42 (1981) 297–301.10.1016/0022-3697(81)90144-XSuche in Google Scholar
82Ono Onozuka, T.: Trans. Jpn. Inst. Met. 23 (1982) 315–319.10.2320/matertrans1960.23.315Suche in Google Scholar
82Pom Pompe, R.: Thermochim. Acta 57 (1982) 273–281.10.1016/0040-6031(82)80038-5Suche in Google Scholar
83Gri Gridnev, V. N.; Ivanchenko, V. G.; Sul’zhenko, V. K.: Russ. Metall. 5 (1983) 184–187.Suche in Google Scholar
83Kog Kogel, S. P.; Avarbe, R. G.; Eron’yan, M. A.; Petrov, A. V.: Izv. Akad. Nauk SSSR, Neorg. Mater. 19 (1983) 1098–1102.Suche in Google Scholar
83Dew DeWith, G.; Hattu, N.: J. Mater. Sci. 18 (1983) 503–507.10.1007/BF00560639Suche in Google Scholar
84Kie Kieda, N; Uematsu, K.; Mizutani, N; Kato, M.: J. Less-Common Met. 99 (1984) 131–135.10.1016/0022-5088(84)90342-4Suche in Google Scholar
84Wer Werdecker W.; Aldinger F.: IEEE Trans. CMHT-7 (1984) 399–404.Suche in Google Scholar
85Len Lengauer, W.; Ettmayer, P.: J. Less-Common Met. 109 (1985) 351–359.10.1016/0022-5088(85)90067-0Suche in Google Scholar
85Luk Lukashenko, G. M.; Sidorko, V. R.; Khaenko, B. V.: Poroshk. Metall. 5 (1985) 50–52.Suche in Google Scholar
85Sun Sundman, B.; Jansson, B.; Andersson, J.-O.: CALPHAD 9 (1985) 153–190.10.1016/0364-5916(85)90021-5Suche in Google Scholar
86Car Carlson, O. V.; Smith, J. F; Nafziger R. H.: Metall. Trans. 17A (1986) 1647–1656.10.1007/BF02817263Suche in Google Scholar
88Kie Kieda, V.; Mizutani, V.; Kato, M.: J. Less-Common Met. 144 (1988) 293–299.10.1016/0022-5088(88)90143-9Suche in Google Scholar
88Kub Kubel, F.; Lengauer W.; Yvon, K.; Knorr K.; Junod, A.: Phys. Rev. B 58 (1988) 12908–12912.10.1103/PhysRevB.38.12908Suche in Google Scholar
90Nor Norton, M. G.; Kajda, J. M.; Steele, B. C. H.: J. Mater. Res. 5 (1990) 2172–2176.10.1557/JMR.1990.2172Suche in Google Scholar
91Din Dinsdale, A. T.: CALPHAD 15 (1991) 317–425.10.1016/0364-5916(91)90030-NSuche in Google Scholar
91Fri Frisk, K.: CALPHAD 15 (1991) 79–106.10.1016/0364-5916(91)90028-ISuche in Google Scholar
91Len Lengauer W.: J. Phys. Chem. Solids 52 (1991) 393–399.10.1016/0022-3697(91)90089-ISuche in Google Scholar
91Oht1 Ohtani, H.; Hillert, M.: CALPHAD 15 (1991) 11–24.10.1016/0364-5916(91)90022-CSuche in Google Scholar
91Oht2 Ohtani, H.; Hillert, M.: CALPHAD 15 (1991) 25–39.10.1016/0364-5916(91)90023-DSuche in Google Scholar
91Wes Westwood, A. D.; Votis, M. R.: JOM 45 (1991) 10–15.10.1007/BF03220588Suche in Google Scholar
92Lit Litvineno, V.F.; Bolgar A. S.: Dopov. Akad. Nauk Ukr 3 (1992) 60–62.Suche in Google Scholar
92SGT SGTE Solution Database 1992, Royal Institute of Technology, Sweden (1992).Suche in Google Scholar
93Kub Kubaschewski, O.; Alcock, C. B.; Spencer P. J.: Materials Thermochemistry, 6th edition, Pergamon Press (1993) 167.Suche in Google Scholar
94SGT SGTE Substance Database 1994, SGTE (Scientific Group Thermodata Europe), Grenoble, France (1994).Suche in Google Scholar
95Luk Lukas, H. Z.: COST 507: Thermochemical Database for Light Metal Alloys, in: I. Ansara (ed.), European Commission, Brussels, Belgium (1995) 41–43.Suche in Google Scholar
95Sau Saunders, V.: COST 507: Thermochemical Database for Light Metal Alloys, in: I. Ansara (ed.), European Commission, Brussels, Belgium (1995) 57–59.Suche in Google Scholar
96Jon Jonsson, S.: Z. Metallkd. 87 (1996) 691–702.Suche in Google Scholar
96Zen1 Zeng, K. J.; Schmid-Fetzer R.: Z. Metallkd. 87 (1996) 540–554.Suche in Google Scholar
97Du Du, Y.; Wenzel, R.; Schmid-Fetzel R.: J. Chim. Phys. 94 (1997) 1056–1062.10.1051/jcp/1997941056Suche in Google Scholar
97Tei Teichmann, C.; Lengauer W.; Ettmayer P.; Bauer J.; Bohn, M.: Metall. Mater. Trans. A 28A (1997) 837–842.10.1007/s11661-997-1011-8Suche in Google Scholar
97Zen Zeng, K. J.; Schmid-Fetzer R.: Mater. Sci. Techn. (1997) submitted to.Suche in Google Scholar
© 1997 Carl Hanser Verlag, München
Artikel in diesem Heft
- Frontmatter
- Aufsätze
- Characterisation of γ′ Precipitates in Single Crystal Nickel-base Superalloy SC16 by Small Angle Neutron Scattering
- The Excess Enthalpies of Liquid Ge–Pb–Te Alloys
- Experimental Investigation and Thermodynamic Calculation of the Ternary System Mn–Y–Zr
- The Fe-Zn-Ti System at 450 °C
- Thermodynamic Assessment of the V–N System
- Schmelzfläche und Phasengleichgewichte mit Beteiligung der Schmelze im System Al-AlCo-AlNi
- Shear Bands In Cold Rolled Al–Mg Alloy Polycrystals
- Rolling and Recrystallization Textures in High Purity Al–Mg Alloys
- Effect of Modified Postweld Heat Treatment on Disbonding of 2.25 Cr-1 Mo Steel Overlay Welded with Austenitic Stainless Steel
- Effect of Vanadium Addition on Disbonding of 2.25Cr–1Mo Steel Overlay Welded with Austenitic Stainless Steel
- Mitteilungen der Deutschen Gesellschaft für Materialkunde e.V.
- Personen
- Mitteilung aus dem Materialprüfungsamt Nordrhein-Westfalen
- Buchbesprechung
- Fortbildungsseminar
Artikel in diesem Heft
- Frontmatter
- Aufsätze
- Characterisation of γ′ Precipitates in Single Crystal Nickel-base Superalloy SC16 by Small Angle Neutron Scattering
- The Excess Enthalpies of Liquid Ge–Pb–Te Alloys
- Experimental Investigation and Thermodynamic Calculation of the Ternary System Mn–Y–Zr
- The Fe-Zn-Ti System at 450 °C
- Thermodynamic Assessment of the V–N System
- Schmelzfläche und Phasengleichgewichte mit Beteiligung der Schmelze im System Al-AlCo-AlNi
- Shear Bands In Cold Rolled Al–Mg Alloy Polycrystals
- Rolling and Recrystallization Textures in High Purity Al–Mg Alloys
- Effect of Modified Postweld Heat Treatment on Disbonding of 2.25 Cr-1 Mo Steel Overlay Welded with Austenitic Stainless Steel
- Effect of Vanadium Addition on Disbonding of 2.25Cr–1Mo Steel Overlay Welded with Austenitic Stainless Steel
- Mitteilungen der Deutschen Gesellschaft für Materialkunde e.V.
- Personen
- Mitteilung aus dem Materialprüfungsamt Nordrhein-Westfalen
- Buchbesprechung
- Fortbildungsseminar