View source for Mathematical chemistry

{{Short description|Branch of applied mathematics}}
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'''Mathematical chemistry'''<ref>Restrepo, G. Mathematical chemistry, a new discipline. In Essays in the philosophy of chemistry, Scerri, E.; Fisher, G., Eds.; Oxford University Press: New York, UK, 2016; Chapter 15, 332-351. [https://global.oup.com/academic/product/essays-in-the-philosophy-of-chemistry-9780190494599?cc=de&lang=en&]</ref> is the area of research engaged in novel applications of [[mathematics]] to [[chemistry]]; it concerns itself principally with the [[mathematical modeling]] of chemical phenomena.<ref>[https://www.jstor.org/stable/2030836 A review] of the book by Ivan Gutman, Oskar E. Polansky, "Mathematical Concepts in Organic Chemistry" in ''[[SIAM Review]]'' Vol. 30, No. 2 (1988), pp. 348-350</ref> Mathematical chemistry has also sometimes been called '''computer chemistry''', but should not be confused with [[computational chemistry]].

Major areas of research in mathematical chemistry include [[chemical graph theory]], which deals with [[topology (chemistry)|topology]] such as the mathematical study of [[isomerism]] and the development of [[topological descriptor]]s or indices which find application in [[quantitative structure-property relationship]]s; and chemical aspects of [[group theory]], which finds applications in [[stereochemistry]] and [[quantum chemistry]]. Another important area is molecular knot theory and [[circuit topology]] that describe the topology of folded linear molecules such as proteins and nucleic acids.

The history of the approach may be traced back to the 19th century. [[Georg Helm]] published a treatise titled "The Principles of Mathematical Chemistry: The Energetics of Chemical Phenomena" in 1894.<ref>Helm, Georg. The Principles of Mathematical Chemistry: The Energetics of Chemical Phenomena. translated by J. Livingston R. Morgan. New York: John Wiley & Sons, 1897. [https://books.google.com/books?id=cyUuAAAAYAAJ&q=helm+mathematical+chemistry&pg=PP9]</ref> Some of the more contemporary periodical publications specializing in the field are MATCH Communications in Mathematical and in Computer Chemistry, first published in 1975, and the Journal of Mathematical Chemistry, first published in 1987. In 1986 a series of annual conferences MATH/CHEM/COMP taking place in [[Dubrovnik]] was initiated by the late [[Ante Graovac]].

The basic [[mathematical model|model]]s for mathematical chemistry are [[molecular graph]] and [[topological index]].

In 2005 the [[International Academy of Mathematical Chemistry]] (IAMC) was founded in Dubrovnik (Croatia) by [[Milan Randić]]. The Academy has 82 members (2009) from all over the world, including six scientists awarded with a Nobel Prize.

== See also ==

* {{annotated link|Chemical reaction network theory}}
* {{annotated link|Cheminformatics}}
* {{annotated link|Combinatorial chemistry}}
* {{annotated link|Molecular descriptor}}
* {{annotated link|Molecular modelling}}
* {{annotated link|List of quantum chemistry and solid state physics software}}
* {{annotated link|List of software for molecular mechanics modeling}}
* {{annotated link|Random graph theory of gelation}}

== Bibliography ==
* ''Molecular Descriptors for Chemoinformatics'', by R. Todeschini and V. Consonni, Wiley-VCH, Weinheim, 2009.
* ''Mathematical Chemistry Series'', by D. Bonchev, D. H. Rouvray (Eds.), Gordon and Breach Science Publisher, Amsterdam, 2000.
* ''Chemical Graph Theory, by N. Trinajstic'', CRC Press, Boca Raton, 1992.
* ''Mathematical Concepts in Organic Chemistry'', by I. Gutman, O. E. Polansky, Springer-Verlag, Berlin, 1986.
* ''Chemical Applications of Topology and Graph Theory'', ed. by R. B. King, Elsevier, 1983.
* "Topological approach to the chemistry of conjugated molecules", by A. Graovac, I. Gutman, and N. Trinajstic, ''Lecture Notes in Chemistry'', no.4, Springer-Verlag, Berlin, 1977.

== Notes ==
{{Reflist}}

== References ==
* N. Trinajstić, I. Gutman, Mathematical Chemistry, Croatica Chemica Acta, 75(2002), pp.&nbsp;329–356.
* A. T. Balaban, Reflections about Mathematical Chemistry, Foundations of Chemistry, 7(2005), pp.&nbsp;289–306.
* G. Restrepo, J. L. Villaveces, Mathematical Thinking in Chemistry, HYLE, 18(2012), pp.&nbsp;3–22.
* [https://web.archive.org/web/20160304060619/http://ebooks.benthamsciencepublisher.org/book/9781681080529/ Advances in Mathematical Chemistry and Applications. Volume 2. Basak S. C., Restrepo G.,  Villaveces J. L. (Bentham Science eBooks, 2015)]

== External links ==
* [https://link.springer.com/journal/10910 Journal of Mathematical Chemistry]
* [http://www.pmf.kg.ac.rs/match/ MATCH Communications in Mathematical and in Computer Chemistry]
* [http://www.iamc-online.org/ International Academy of Mathematical Chemistry]

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