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The absolute thermoelectric power of chromium, molybdenum, and tungsten

  • Horst Brodowskya EMAIL logo , Qiyuan Chen , Zhongliang Xiao and Zhoulan Yin
Published/Copyright: January 21, 2022
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 97 Issue 9

Abstract

In pure metals or homogeneous alloys, the number of electrons per atom as well as the pressure are constant in a temperature gradient, and the electrochemical potential of the electrons is a unique function of the temperature. That is why it is possible to obtain the thermopower of these materials not only in the conventional evaluation of the Onsager equations, which involves the calculation of two transport coefficients, but also with an alternative approach, which involves the calculation of the temperature dependence of the electrochemical potential. The method is illustrated with the calculation of the thermopower of Cr, Mo, and W from the density of states of these metals.

Keywords: Onsager equations; Thermoelectric effects; Calculations
Prof. Dr. H. Brodowsky Institut für Physikalische Chemie Christian-Albrechts-Universität zu Kiel Olshausenstraße 40, D-24098 Kiel, Germany Tel.: +49 431 880 2081 Fax: +49 431 880 2830

  1. H. B. wishes to thank the National Administration of Education of China and the German Academic Exchange Service (DAAD) for financial support and the Central South University of Changsha, China, for their hospitality

References

[1] W. Thomson: Proc. Roy. Soc. (Edinburgh) 3 (1854) 255.Search in Google Scholar

[2] T.J. Seebeck: Abh. Preuss. Akad. Wiss. (1822) 265.Search in Google Scholar

[3] J. Peltier: Ann. Physique Chimie (1834).Search in Google Scholar

[4] L. Onsager: Phys. Rev. 37 (1931) 405; 38 (1931) 2265.10.1103/PhysRev.37.405Search in Google Scholar

[5] H. Brodowsky, S. Kastaun: Z. Metallkd. 90 (1999) 111.Search in Google Scholar

[6] H. Brodowsky, S. Gerbes, S. Kastaun: Z. Metallkd. 91 (2000) 375.Search in Google Scholar

[7] H. Brodowsky, C. Chen, Z. Xiao, Zh. Yin: Z. Metallkd. 95 (2004) 698.10.3139/146.018011Search in Google Scholar

[8] H. Brodowsky, S. Kastaun, Zh. Yin: Z. Metallkd. 93 (2002) 1164.10.3139/146.021164Search in Google Scholar

[9] H. Brodowsky, M. Albus: Verhandl. Deutsch. Physik. Ges. VI, 40, 2 (2005) 429.Search in Google Scholar

[10] M. Vedernikov: Adv. Phys. 18 (1969) 337.10.1080/00018736900101317Search in Google Scholar

[11] S.N. Lvov, V.F. Nemchenko, in: G.V. Samsonov (Ed.), High-Temperature Inorganic Compounds (1965).Search in Google Scholar

[12] G. Borelius, W.H. Keesom, C.H. Johansson, J.O. Linde: Proc. Acad. Sci. Amst. 35 (1932) 10.Search in Google Scholar

[13] J.W. Christian, J.P. Jan,W.B. Pearson, I.M. Templeton: Proc. Roy. Soc. A 245 (1958) 213.Search in Google Scholar

[14] R.B. Roberts: Nature 265 (1977) 226.10.1038/265226a0Search in Google Scholar

[15] M. Albus: PhD Thesis, Univ. of Kiel (2000).Search in Google Scholar

[16] D.A. Papaconstantopoulos: Band Structure of Elemental Solids, Plenum, New York (1986).Search in Google Scholar

[17] H.B. Callen: Thermodynamics, 2nd ed., Wiley, New York (1985).Search in Google Scholar

[18] N.W. Ashcroft, N.D. Mermin: Solid State Phys. (1976) 46.10.1119/1.11117Search in Google Scholar
Received: 2005-11-25
Accepted: 2006-06-14
Published Online: 2022-01-21

© 2006 Carl Hanser Verlag, München

Articles in the same Issue

  1. Contents
  2. Editorial
  3. Nanoindentation creep and stress relaxation tests of polycarbonate: Analysis of viscoelastic properties by different rheological models
  4. Investigation of SiO2 thin films on Si substrates for use as standards for laser-acoustic measuring devices
  5. Determination of the critical tensile stress of sapphire by spherical indentation with additional lateral forces
  6. The deformation behaviour of electrodeposited nanocrystalline Ni in an atomic force microscope with a newly developed in situ bending machine
  7. In situ electrochemical nanoindentation of a nickel (111) single crystal: hydrogen effect on pop-in behaviour
  8. Indentation behaviour of (011) thin films of III–V semiconductors: polarity effect differences between GaAs and InP
  9. Multiwall carbon nanotubes-based composites – mechanical characterization using the nanoindentation technique
  10. Nanoindentation studies of stamp materials for nanoimprint lithography
  11. Experimental and thermodynamic evaluation of the Co–Cr–C system
  12. Thermodynamics of high-temperature cuprous sulfide
  13. Sintering of Si3N4 with Li-exchanged zeolite additive
  14. Effect of LiYO2 addition on sintering behavior and indentation properties of silicon nitride ceramics
  15. Mechanism of quasi-viscous flow of zinc single crystals
  16. The absolute thermoelectric power of chromium, molybdenum, and tungsten
  17. Modelling of metal – mould interface resistance in the Al-11.5 wt.% Si alloy casting process
  18. Award/Preisverleihung
  19. Personal
  20. Conferences
  21. Contents
  22. Editorial
  23. Editorial
  24. Basic
  25. Nanoindentation creep and stress relaxation tests of polycarbonate: Analysis of viscoelastic properties by different rheological models
  26. Investigation of SiO2 thin films on Si substrates for use as standards for laser-acoustic measuring devices
  27. Determination of the critical tensile stress of sapphire by spherical indentation with additional lateral forces
  28. The deformation behaviour of electrodeposited nanocrystalline Ni in an atomic force microscope with a newly developed in situ bending machine
  29. In situ electrochemical nanoindentation of a nickel (111) single crystal: hydrogen effect on pop-in behaviour
  30. Indentation behaviour of (011) thin films of III–V semiconductors: polarity effect differences between GaAs and InP
  31. Multiwall carbon nanotubes-based composites – mechanical characterization using the nanoindentation technique
  32. Nanoindentation studies of stamp materials for nanoimprint lithography
  33. Experimental and thermodynamic evaluation of the Co–Cr–C system
  34. Applied
  35. Thermodynamics of high-temperature cuprous sulfide
  36. Sintering of Si3N4 with Li-exchanged zeolite additive
  37. Effect of LiYO2 addition on sintering behavior and indentation properties of silicon nitride ceramics
  38. Mechanism of quasi-viscous flow of zinc single crystals
  39. The absolute thermoelectric power of chromium, molybdenum, and tungsten
  40. Modelling of metal – mould interface resistance in the Al-11.5 wt.% Si alloy casting process
  41. Kösterpreis
  42. Award/Preisverleihung
  43. Notifications
  44. Personal
  45. Conferences
https://doi.org/10.3139/ijmr-2006-0202
Keywords for this article
Onsager equations; Thermoelectric effects; Calculations

Articles in the same Issue

  1. Contents
  2. Editorial
  3. Nanoindentation creep and stress relaxation tests of polycarbonate: Analysis of viscoelastic properties by different rheological models
  4. Investigation of SiO2 thin films on Si substrates for use as standards for laser-acoustic measuring devices
  5. Determination of the critical tensile stress of sapphire by spherical indentation with additional lateral forces
  6. The deformation behaviour of electrodeposited nanocrystalline Ni in an atomic force microscope with a newly developed in situ bending machine
  7. In situ electrochemical nanoindentation of a nickel (111) single crystal: hydrogen effect on pop-in behaviour
  8. Indentation behaviour of (011) thin films of III–V semiconductors: polarity effect differences between GaAs and InP
  9. Multiwall carbon nanotubes-based composites – mechanical characterization using the nanoindentation technique
  10. Nanoindentation studies of stamp materials for nanoimprint lithography
  11. Experimental and thermodynamic evaluation of the Co–Cr–C system
  12. Thermodynamics of high-temperature cuprous sulfide
  13. Sintering of Si3N4 with Li-exchanged zeolite additive
  14. Effect of LiYO2 addition on sintering behavior and indentation properties of silicon nitride ceramics
  15. Mechanism of quasi-viscous flow of zinc single crystals
  16. The absolute thermoelectric power of chromium, molybdenum, and tungsten
  17. Modelling of metal – mould interface resistance in the Al-11.5 wt.% Si alloy casting process
  18. Award/Preisverleihung
  19. Personal
  20. Conferences
  21. Contents
  22. Editorial
  23. Editorial
  24. Basic
  25. Nanoindentation creep and stress relaxation tests of polycarbonate: Analysis of viscoelastic properties by different rheological models
  26. Investigation of SiO2 thin films on Si substrates for use as standards for laser-acoustic measuring devices
  27. Determination of the critical tensile stress of sapphire by spherical indentation with additional lateral forces
  28. The deformation behaviour of electrodeposited nanocrystalline Ni in an atomic force microscope with a newly developed in situ bending machine
  29. In situ electrochemical nanoindentation of a nickel (111) single crystal: hydrogen effect on pop-in behaviour
  30. Indentation behaviour of (011) thin films of III–V semiconductors: polarity effect differences between GaAs and InP
  31. Multiwall carbon nanotubes-based composites – mechanical characterization using the nanoindentation technique
  32. Nanoindentation studies of stamp materials for nanoimprint lithography
  33. Experimental and thermodynamic evaluation of the Co–Cr–C system
  34. Applied
  35. Thermodynamics of high-temperature cuprous sulfide
  36. Sintering of Si3N4 with Li-exchanged zeolite additive
  37. Effect of LiYO2 addition on sintering behavior and indentation properties of silicon nitride ceramics
  38. Mechanism of quasi-viscous flow of zinc single crystals
  39. The absolute thermoelectric power of chromium, molybdenum, and tungsten
  40. Modelling of metal – mould interface resistance in the Al-11.5 wt.% Si alloy casting process
  41. Kösterpreis
  42. Award/Preisverleihung
  43. Notifications
  44. Personal
  45. Conferences
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