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Partial atomic volumes of early transition metals in A10 metal-based solid solutions

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Published/Copyright: February 1, 2022
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 95 Issue 5

Abstract

Unit-cell parameters were measured for the A10 metal-based (= Ni, Pd, Pt) solid solutions (Pearson symbol cF4, space group Fm 3¯ m, Cu type) with the A5 transition metals (V, Nb, Ta) in the whole range of homogeneity. Composition dependence both of the average atomic volume and the enthalpy of formation were investigated for the A10 metal-based solid solutions with the A5 and A6 transition metals; the partial atomic volume and the partial molar enthalpy of formation of the A5 and A6 transition were determined for the A10-rich terminal phases. Among the systems investigated, only the solid solutions Pd(Cr) and Pt(Cr) show partial atomic volume of chromium larger than the chromium atomic volume. In the nickel-based solid solution, the partial atomic volume of chromium is equal to the chromium atomic volume. The partial molar enthalpy of formation for the A5 transition metals – in the nickel, palladium and platinum-rich alloys – shows larger negative values than values evaluated for the A6 transition metals. An enlarged investigation of the data available in literature shows that both the relative volume change, resulting from the dissolving process of the early transition metals in the A10 metal-based alloys, and the negative values of the partial molar enthalpy of formation increase with decreasing number of the 3d and 4d electrons of the early transition elements. For the 5d quasihomologous transition metals, this observation is valid for the A4 . . . A6 elements as well.

Keywords: Substitutional solid solutions; Transition metals; Atomic volumes; Enthalpy of formation
Dr. M. Ellner MPI für Metallforschung Heisenbergstraße 3, D-70569 Stuttgart Fax: +49 711 689 3312

References

[1] M. Ellner: Metallurg., Mat. Transactions A 35 (2004) 63.10.1007/s11661-004-0109-5Search in Google Scholar

[2] T.B. Massalski, H. Okamoto, P.R. Subramanian, L. Kasper: Binary Alloy Phase Diagrams, 2nd ed., ASM INTERNATIONAL, Materials Park, 1990, vols. 1–3.Search in Google Scholar

[3] P. Villars, K. Cenzual, J.L.C. Daams, F. Huliger, H. Okamoto, K. Osaki, A. Prince: Pauling File, Binaries Edition, Inorganic Materials Database and Design, Version 1.0, Distributed by Crystal Impact, 2001.Search in Google Scholar

[4] W.B. Pearson, W. Hume-Rothery: J. Inst. Metals. London 80 (1951 –1952) 641.Search in Google Scholar

[5] E. Kudielka-Artner, B.B. Argent: Proc. Phys. Soc. Lond. 80 (1962) 1143.10.1088/0370-1328/80/5/314Search in Google Scholar

[6] K. Baba, U. Miyagawa, K. Watanabe, Y. Sakamoto, Flanagan: J. Mat. Sci. 25 (1990) 3910.10.1007/BF00582459Search in Google Scholar

[7] R.M. Waterstraat: Metallurg. Transactions 4 (1973) 455.10.1007/BF02648698Search in Google Scholar

[8] G. Grube, O. Kubaschewski, K. Zwiauer: Z. Elektrochem. 45 (1939) 881.Search in Google Scholar

[9] I.J. Duerden, W. Hume-Rothery: J. Less-Common Metals 11 (1966) 381.10.1016/0022-5088(66)90083-XSearch in Google Scholar

[10] S. Arajs, H. Chessin, R.V. Colvin: Phys. Stat. Sol. 3 (1963) 2337.10.1002/pssb.19630031216Search in Google Scholar

[11] B.C. Giessen, N.J. Grant, D.P. Parker, R.C. Manuszewski, R.M. Waterstraat: Metallurg. Trans. A 11 (1980) 709.10.1007/BF02661200Search in Google Scholar

[12] H. Kimura, A. Itô: Trans. Nat. Res. Inst. Metals 3 (1961) 27.Search in Google Scholar

[13] R.M. Waterstraat, B.C. Giessen: Metallurg. Trans. A 16 (1985) 1943.10.1007/BF02662395Search in Google Scholar

[14] H. Chessin, S. Arajs, R.V. Colvin: J. Appl. Phys. 35 (1964) 2419.10.1063/1.1702872Search in Google Scholar

[15] J.B. Darby, Jr., J.W. Downey, L.J. Norton: Trans. Met. Soc. AIME, 227 (1963), vol. 1028.Search in Google Scholar

[16] B. Predel, in: Landolt-Börnstein, Springer-Verlag, Berlin, 1998, Neue Serie, vol. 5, subvol. I.Search in Google Scholar

[17] G. Effenberg, O.I. Bodak, T.I. Yanson: Red Book, Constitutional Data and Phase Diagrams, 1993–1999, MSI Material Science, International Services GmbH, Stuttgart.Search in Google Scholar

[18] F. Abe, T. Tanabe: Z. Metallkd. 76 (1985) 420.Search in Google Scholar

[19] R.M. Waterstrat: Metallurg. Transactions 4 (1973) 1585.10.1007/BF02668012Search in Google Scholar

[20] M.J. Besnus, A.J.P. Meyer: Phys. Stat. Solidi B 58 (1973) 533.10.1002/pssb.2220580213Search in Google Scholar

[21] R.W. Guthrie, E.E. Stansbury: ORNL-33078, 1961, Oak Ridge National Laboratory, TN.Search in Google Scholar

[22] J.A. Catteral, S.M. Barker: Plansee Proc. (1964) 577.Search in Google Scholar

[23] R. Hultgren, R.I. Jaffe: J. Appl. Phys. 12 (1941) 501.10.1063/1.1712931Search in Google Scholar

[24] W.K. Goetz, J.H. Brophy: J. Less-Common Metals 6 (1964) 345.10.1016/0022-5088(64)90132-8Search in Google Scholar

[25] H.L. Luo: J. Less-Common Metals 15 (1968) 299.10.1016/0022-5088(68)90188-4Search in Google Scholar

[26] M. Ellner: J. Less-Common Metals, 75 (1980) P5.10.1016/0022-5088(80)90383-5Search in Google Scholar

[27] E.T. Teatum, K.A. Gschneidner, Jr., J.T. Waber: Scientific Report LA-4004, UC-25, Los Alamos, NM, 1968.Search in Google Scholar

[28] A.R. Miedema, R. Boom, F.R. de Boer: J. Less-Common Metals 41 (1975) 283.10.1016/0022-5088(75)90034-XSearch in Google Scholar

[29] A.R. Miedema: J. Less-Common Metals 46 (1976) 67.10.1016/0022-5088(76)90180-6Search in Google Scholar

[30] A. Watson, F.H. Hayes: J. Alloys and Compounds 220 (1995) 94.10.1016/0925-8388(94)06008-8Search in Google Scholar

[31] Q. Guo, O.J. Kleppa: J. Alloys and Compounds 205 (1994) 63.10.1016/0925-8388(94)90767-6Search in Google Scholar

[32] M. Ellner: J. Alloys and Compounds 366 (2004) 222.10.1016/S0925-8388(03)00757-6Search in Google Scholar

[33] M. Norman, I.E. Harris: J. Less-Common Metals 18 (1969) 335.10.1016/0022-5088(69)90003-4Search in Google Scholar

[34] I.E. Harris, M. Norman: J. Less-Common Metals 15 (1968) 285.10.1016/0022-5088(68)90187-2Search in Google Scholar

[35] I.R. Harris, G.V. Raynor: J. Less-Common Metals 9 (1965) 263.10.1016/0022-5088(65)90019-6Search in Google Scholar

[36] A.E. Dwight, J.W. Downey, A.R. Conner: Acta Cryst. 14 (1961) 75.10.1107/S0365110X61000255Search in Google Scholar
Received: 2003-12-15
Accepted: 2004-03-04
Published Online: 2022-02-01

© 2004 Carl Hanser Verlag, München

Articles in the same Issue

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  2. Editorial
  3. Challenges and interesting observations associated with feedback-controlled nanoindentation
  4. Nanoscratching on surfaces: the relationships between lateral force, normal force and normal displacement
  5. Nano-scratch testing on thin diamond-like carbon coatings for microactuators: friction, wear and elastic-plastic deformation
  6. Comparison of hardness and Young’s modulus by single indentation and multiple unloading indentation
  7. Nanomechanical characterization of Ti-base nanostructure-dendrite composite
  8. Surface topography and nanomechanical/tribological behaviour of ultrathin nitride films on silicon
  9. Viscosity of glass at high contact pressure during indentation experiments
  10. Dynamic indentation measurements on amorphous materials
  11. Technique for measuring the residual strain in strained Si/SiGe MOSFET structures using Raman spectroscopy
  12. Partial atomic volumes of early transition metals in A10 metal-based solid solutions
  13. Effects of an external electric field applied during the solution heat treatment of the Al-Mg-Si-Cu alloy AA6111
  14. Fatigue crack propagation in pseudoelastic TiNi smart microcomponents
  15. Microstructure evolution in immiscible alloys during rapid directional solidification
  16. The creep performance of a sand-cast Mg–2.8 Nd–0.8 Zn–0.5 Zr–0.3 Gd alloy at 241 to 262°C
  17. Punch-shear tests and size effects for evaluating the shear strength of machinable ceramics
  18. Study of Ti–Si in situ composite processing by multi-stage eutectic solidification
  19. Twin-roll cast Al–Mg –Si sheet for automotive applications
  20. Thermodynamics and surface properties of Fe–V and Fe–Ti liquid alloys
  21. Personal/ Personelles
  22. Press/ Presse
  23. Books/Bücher
  24. Conferences / Konferenzen
  25. Frontmatter
  26. Editorial
  27. Editorial
  28. Articles Basic
  29. Challenges and interesting observations associated with feedback-controlled nanoindentation
  30. Nanoscratching on surfaces: the relationships between lateral force, normal force and normal displacement
  31. Nano-scratch testing on thin diamond-like carbon coatings for microactuators: friction, wear and elastic-plastic deformation
  32. Comparison of hardness and Young’s modulus by single indentation and multiple unloading indentation
  33. Nanomechanical characterization of Ti-base nanostructure-dendrite composite
  34. Surface topography and nanomechanical/tribological behaviour of ultrathin nitride films on silicon
  35. Viscosity of glass at high contact pressure during indentation experiments
  36. Dynamic indentation measurements on amorphous materials
  37. Technique for measuring the residual strain in strained Si/SiGe MOSFET structures using Raman spectroscopy
  38. Partial atomic volumes of early transition metals in A10 metal-based solid solutions
  39. Effects of an external electric field applied during the solution heat treatment of the Al-Mg-Si-Cu alloy AA6111
  40. Fatigue crack propagation in pseudoelastic TiNi smart microcomponents
  41. Microstructure evolution in immiscible alloys during rapid directional solidification
  42. The creep performance of a sand-cast Mg–2.8 Nd–0.8 Zn–0.5 Zr–0.3 Gd alloy at 241 to 262°C
  43. Articles Applied
  44. Punch-shear tests and size effects for evaluating the shear strength of machinable ceramics
  45. Study of Ti–Si in situ composite processing by multi-stage eutectic solidification
  46. Twin-roll cast Al–Mg –Si sheet for automotive applications
  47. Thermodynamics and surface properties of Fe–V and Fe–Ti liquid alloys
  48. Notifications/Mitteilungen
  49. Personal/ Personelles
  50. Books/Bücher
  51. Press/ Presse
  52. Conferences / Konferenzen
https://doi.org/10.3139/ijmr-2004-0073
Keywords for this article
Substitutional solid solutions; Transition metals; Atomic volumes; Enthalpy of formation

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. Challenges and interesting observations associated with feedback-controlled nanoindentation
  4. Nanoscratching on surfaces: the relationships between lateral force, normal force and normal displacement
  5. Nano-scratch testing on thin diamond-like carbon coatings for microactuators: friction, wear and elastic-plastic deformation
  6. Comparison of hardness and Young’s modulus by single indentation and multiple unloading indentation
  7. Nanomechanical characterization of Ti-base nanostructure-dendrite composite
  8. Surface topography and nanomechanical/tribological behaviour of ultrathin nitride films on silicon
  9. Viscosity of glass at high contact pressure during indentation experiments
  10. Dynamic indentation measurements on amorphous materials
  11. Technique for measuring the residual strain in strained Si/SiGe MOSFET structures using Raman spectroscopy
  12. Partial atomic volumes of early transition metals in A10 metal-based solid solutions
  13. Effects of an external electric field applied during the solution heat treatment of the Al-Mg-Si-Cu alloy AA6111
  14. Fatigue crack propagation in pseudoelastic TiNi smart microcomponents
  15. Microstructure evolution in immiscible alloys during rapid directional solidification
  16. The creep performance of a sand-cast Mg–2.8 Nd–0.8 Zn–0.5 Zr–0.3 Gd alloy at 241 to 262°C
  17. Punch-shear tests and size effects for evaluating the shear strength of machinable ceramics
  18. Study of Ti–Si in situ composite processing by multi-stage eutectic solidification
  19. Twin-roll cast Al–Mg –Si sheet for automotive applications
  20. Thermodynamics and surface properties of Fe–V and Fe–Ti liquid alloys
  21. Personal/ Personelles
  22. Press/ Presse
  23. Books/Bücher
  24. Conferences / Konferenzen
  25. Frontmatter
  26. Editorial
  27. Editorial
  28. Articles Basic
  29. Challenges and interesting observations associated with feedback-controlled nanoindentation
  30. Nanoscratching on surfaces: the relationships between lateral force, normal force and normal displacement
  31. Nano-scratch testing on thin diamond-like carbon coatings for microactuators: friction, wear and elastic-plastic deformation
  32. Comparison of hardness and Young’s modulus by single indentation and multiple unloading indentation
  33. Nanomechanical characterization of Ti-base nanostructure-dendrite composite
  34. Surface topography and nanomechanical/tribological behaviour of ultrathin nitride films on silicon
  35. Viscosity of glass at high contact pressure during indentation experiments
  36. Dynamic indentation measurements on amorphous materials
  37. Technique for measuring the residual strain in strained Si/SiGe MOSFET structures using Raman spectroscopy
  38. Partial atomic volumes of early transition metals in A10 metal-based solid solutions
  39. Effects of an external electric field applied during the solution heat treatment of the Al-Mg-Si-Cu alloy AA6111
  40. Fatigue crack propagation in pseudoelastic TiNi smart microcomponents
  41. Microstructure evolution in immiscible alloys during rapid directional solidification
  42. The creep performance of a sand-cast Mg–2.8 Nd–0.8 Zn–0.5 Zr–0.3 Gd alloy at 241 to 262°C
  43. Articles Applied
  44. Punch-shear tests and size effects for evaluating the shear strength of machinable ceramics
  45. Study of Ti–Si in situ composite processing by multi-stage eutectic solidification
  46. Twin-roll cast Al–Mg –Si sheet for automotive applications
  47. Thermodynamics and surface properties of Fe–V and Fe–Ti liquid alloys
  48. Notifications/Mitteilungen
  49. Personal/ Personelles
  50. Books/Bücher
  51. Press/ Presse
  52. Conferences / Konferenzen
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