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A relation between the surface energy and the Debye temperature for cubic solids

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Abstract

It is shown that a phenomenological relation exists between the Debye temperature θ (in degree Kelvin) and the surface energy Γ (in ergs/cm2) of cubic solids:, where M is the atomic weight. This relation is derived theoretically in the Debye isotropic approximation by assuming that the interatomic potential is central. No restrictions are imposed on the range of the potential. The relation is obeyed very well by the observed values of θ and Γ in the case of many solids.

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References

  1. J. G. Gilman, J. Appl. Phys. 31, 2208 (1960).

    Article  CAS  Google Scholar 

  2. A. R. Miedema and J. W. F. Dorleign, Surf. Sci. 95, 447 (1980).

    Article  CAS  Google Scholar 

  3. A. R. Miedema and P. F. de Chatel, Theory of Alloy Phase Formation, edited by L. H. Bennett (TMS-AIME, Warrendale, PA, 1980), p. 344.

  4. K. Mukherjee, Phil. Mag. 12, 915 (1965).

    Article  CAS  Google Scholar 

  5. V. K. Tewary, J. Phys. F (Metal Phys.) 3, 704 (1973).

    Article  CAS  Google Scholar 

  6. A. A. Maradudin, E. W. Montroll, G. H. Weiss, and I. P. Ipatova, Theory of Lattice Dynamics in the Harmonic Approximation; Solid State Phys. Suppl. (Academic Press, New York, 1971), 2nd ed., Vol. 3.

    Google Scholar 

  7. Handbook of Materials Science, edited by C. T. Lynch (C. R. C. Press, Cleveland, OH, 1974).

    Google Scholar 

  8. Am. Inst, of Phys. Handbook, edited by D. E. Gray (McGraw-Hill, New York, 1972), 3rd ed.

  9. J. R. Rice and Robb Thomson, Phil. Mag. 29, 73 (1974).

    Article  CAS  Google Scholar 

  10. J. R. Hirth and J. Lothe, Theory of Dislocations (Wiley Interscience, New York, 1982), 2nd ed.

    Google Scholar 

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Author notes

  1. V. K. Tewary

    Present address: On attachment from The Ohio State University, Columbus, Ohio. Current address: Materials Reliability Division, National Institute of Standards & Technology, Boulder, 80303, Colorado, USA

Authors and Affiliations

  1. Institute for Materials Science and Engineering, National Institute of Standards and Technology, Gaithersburg, 20899, Maryland, USA

    V. K. Tewary & E. R. Fuller Jr.

Authors
  1. V. K. Tewary
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  2. E. R. Fuller Jr.
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Tewary, V.K., Fuller, E.R. A relation between the surface energy and the Debye temperature for cubic solids. Journal of Materials Research 5, 1118–1122 (1990). https://doi.org/10.1557/JMR.1990.1118

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  • DOI: https://doi.org/10.1557/JMR.1990.1118

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