Skip to main content
Log in

On the first application of Legendre transforms to the surface tension of solids

  • Problems and Discussions
  • Published:
Protection of Metals and Physical Chemistry of Surfaces Aims and scope Submit manuscript

Abstract

This is a short consideration of the latest articles [{xc1}, {xc2}] criticizing works [{xc3}, {xc4}] proposed a new approach to the surface tension of condensed matter. We underline some of his obviously incorrect statements about the Gokhshtein equations and focus on misleading interpretation of Legendre transforms and especially of complete Legendre transforms. All these mistakes show that the criticism [{xc1}, {xc2}] as a whole is incorrect and unacceptable.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Gutman, E.M., Surf. Sci., 2011, vol. 605, p. 1923.

    Article  Google Scholar 

  2. Gutman, E.M., Surf. Sci., 2012, vol. 606, p. 772.

    Article  Google Scholar 

  3. Marichev, V.A., Surf. Sci., 2009, vol. 603, p. 3212; 2010, vol. 604, p. 458.

    Article  Google Scholar 

  4. Marichev, V.A., Surf. Sci., 2011, vol. 605, p. 2097.

    Article  Google Scholar 

  5. Gokhshtein, A.Ya., Dokl. Akad. Nauk SSSR, 1969, vol. 187, p. 601.

    Google Scholar 

  6. Gokhshtein, A.Ya., Surface Tension of Solids and Adsorption, Moscow: Nauka, 1976, p. 326.

    Google Scholar 

  7. Gokhshtein, A.Ya. and Frumkin, A.N., Dokl. Akad. Nauk SSSR, 1960, vol. 132, p. 388.

    Google Scholar 

  8. Parsons, R., Mod. Aspects Electrochem., 1953, vol. 1, p. 103.

    Google Scholar 

  9. Parsons, R., Russ. J. Electrochem., 2001, vol. 37, p. 549.

    Article  Google Scholar 

  10. Frumkin, A.N., Charge, Moscow: Nauka, 1979.

    Google Scholar 

  11. Gokhshtein, A.Ya., Russ. Chem. Rev., 1975, vol. 44, p. 921.

    Article  Google Scholar 

  12. Gokhshtein, A.Ya., J. Solid State Electrochem., 2012, vol. 16, p. 3683.

    Article  Google Scholar 

  13. Marichev, V.A., Surf. Sci. Rep., 2005, vol. 56, p. 277; Marichev, V.A., Colloids Surf. A, 2009, vol. 345, p. 1.

    Article  Google Scholar 

  14. Weissmüller, J. and Kramer, D., Langmuir, 2005, vol. 21, p. 4592.

    Article  Google Scholar 

  15. Smetanin, M., Viswanath, R.N., Kramer, D., et al., Langmuir, 2008, vol. 24, p. 8561.

    Article  Google Scholar 

  16. Smetanin, M., Kramer, D., Monohanan, S., et al., Phys. Chem. Chem. Phys., 2009, vol. 11, p. 9008; Smetanin, M., Deng, Q., and Weissmüller, J., Phys. Chem. Chem. Phys., 2011, vol. 13, p. 17313.

    Article  Google Scholar 

  17. Shuttleworth, R., Proc. Phys. Soc., London, Sect. A, 1950, vol. 63, p. 444.

    Article  Google Scholar 

  18. Trasatti, S. and Parsons, R., Pure Appl. Chem., 1986, vol. 58, p. 437.

    Google Scholar 

  19. Lipkowski, J., Schmickler, W., Kolb, D.M., and Parsons, R.J., J. Electroanal. Chem., 1998, vol. 452, p. 193.

    Article  Google Scholar 

  20. Gibbs, J.W., The Scientific Papers of J. Willard Gibbs, New York: Longmans and Green, 1931, vol. 1.

    Google Scholar 

  21. Alberty, R.A., Pure Appl. Chem., 2001, vol. 73, p. 1349.

    Article  Google Scholar 

  22. Wilhelm, E., J. Solution Chem., 2010, vol. 39, p. 1777.

    Article  Google Scholar 

  23. Marichev, V.A., Chem. Phys. Lett., 2007, vol. 434, p. 218.

    Article  Google Scholar 

  24. Gutman, E.M., J. Phys.: Condens. Matter, 1995, vol. 7, p. 663.

    Google Scholar 

  25. Thagard, P., Artif. Intell., 2007, vol. 171, p. 1104.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. A. Marichev.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Marichev, V.A. On the first application of Legendre transforms to the surface tension of solids. Prot Met Phys Chem Surf 51, 313–316 (2015). https://doi.org/10.1134/S2070205115020124

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2070205115020124

Keywords

Navigation