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Graphs and thermodynamics

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Abstract

Graphs are used in many fields of chemistry for codification and model purposes. One of these fields is widely known under the acronym QSAR/QSPR, i.e., quantitative structure–activity/structure–property relationships. In chemical graph studies directed graphs, known as digraphs, i.e., graphs with a preferred direction, have mainly been used to codify chemical reaction networks. Actually, digraphs, especially directed acyclic graphs together with simple graphs, can be used to draw a metalanguage of thermodynamics that codifies rules and properties which can be used to automatically derive many well-known, and less-known, thermodynamic relationships.

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References

  1. Newton G.N., Randall M.: Thermodynamics. McGraw-Hill, New York (1961) (revised by K.S. Pitzer, L. Brewer)

    Google Scholar 

  2. Bridgam P.W.: Phys. Rev. 3, 273 (1914)

    Article  Google Scholar 

  3. Shaw A.N.: Phil. Trans. Roy. Soc. Lond. A 334, 299 (1935)

    Article  Google Scholar 

  4. Pogliani L., Berberan-Santos M.N.: J. Math. Chem. 28, 313 (2000)

    Article  CAS  Google Scholar 

  5. Callen H.B.: Thermodynamics and Introduction to Thermostatistics. Wiley, New York (1985)

    Google Scholar 

  6. Koenig F.O.: J. Phys. Chem. 3, 29 (1935)

    Article  CAS  Google Scholar 

  7. Tisza L.: Generalized Thermodynamics. MIT Press, Cambridge (1977)

    Google Scholar 

  8. Phillips J.M.: J. Chem. Educ. 64, 674 (1987)

    CAS  Google Scholar 

  9. Rodriguez J., Brainard A.: J. Chem. Educ. 66, 495 (1989)

    CAS  Google Scholar 

  10. Pogliani L.: J. Chem. Inf. Comput. Sci. 38, 130 (1998)

    CAS  Google Scholar 

  11. Pogliani L.: MATCH Commun. Math. Comput. Chem. 47, 153 (2003)

    CAS  Google Scholar 

  12. Pogliani L.: J. Chem. Educ. 78, 680 (2001)

    Article  CAS  Google Scholar 

  13. Pogliani L.: Russ. J. Phys. Chem. 77, S183 (2003)

    Google Scholar 

  14. Pogliani L.: J. Chem. Inf. Comput. Sci. 32, 386 (1992)

    CAS  Google Scholar 

  15. Pogliani L.: J. Chem. Educ. 83, 155 (2006)

    CAS  Google Scholar 

  16. Rosen K.H.: . Discrete Mathematics and its Applications. McGraw-Hill, New York (1995)

    Google Scholar 

Download references

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Correspondence to Lionello Pogliani.

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Pogliani, L. Graphs and thermodynamics. J Math Chem 46, 15–23 (2009). https://doi.org/10.1007/s10910-008-9452-x

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  • DOI: https://doi.org/10.1007/s10910-008-9452-x

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