Pure and Applied Mathematics Journal

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On Some Point Groups

Received: 01 February 2015    Accepted: 01 February 2015    Published: 12 February 2015
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Abstract

In this note, we indicate the coincidence as abstract groups of some point groups which belong to different molecular orbitals. This elucidates somewhat vague presentation in many existing textbooks on molecular orbitals, thus abridging between group theory and quantum chemistry.

DOI 10.11648/j.pamj.s.2015040201.18
Published in Pure and Applied Mathematics Journal (Volume 4, Issue 2-1, March 2015)

This article belongs to the Special Issue Abridging over Troubled Water---Scientific Foundation of Engineering Subjects

Page(s) 42-46
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Point Group Molecular Orbitals, Symmetry Transformations: Characters

References
[1] M. A. Armstrong, Groups and symmetry, Springer, New York-Berlin etc. 1988.
[2] D. M. Bishop, Group theory and chemistry, OUP, Oxford 1973; 2nd ed. Dover, New York 1993.
[3] A. Carbone and M. Gromov, A mathematical slices of molecular biology, Supplement to volume 88 of Gazette des Mathématiciens, French Math. Soc. (SMF), Paris 2001.
[4] J. H. Conway, Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups, Cambridge UP, Cambridge 1985.
[5] Theo Hahn, International tables for crystallography, Reidel Publ. Co. 1983.
[6] H. Kitajima and S. Kanemitsu, Math-Phys-Chem approaches to life, Intern. J. Math. Math. Sci., Volume 2012, Article ID 371825, 29 pages (doi:10.1155/2012/371825), published May 13, 2012.
[7] G. F. Koster, Space groups and their representations, Academic Press, New York1957.
[8] K. Morikawa, A new view point of solid structure of proteins, Kodan-sha, Tokyo 1991 (in Japanese)
[9] M. Nakasaki, Symmetry of molecules and group theory Tokyo Kagaku-dohjin, Tokyo1973 (in Japanese).
[10] M. Ohiwa, Group theory and molecules, Kagaku-dohjin, Tokyo 1969 (in Japanese).
[11] M. Ohya and S. Matsunaga, Coding and genes, J. Electr. Inf. Comm, Soc. J74-A (1991), 1075-1084 (in Japanese).
[12] A. D. Thomas and G.V. Wood, Group tables, Shiva Publ. Ltd, Orpington 1980.
Author Information
  • Dept. of Electr. Engrg, Kyushu Inst. Techn., 1-1 Senshuimachi, Tobata, Kitakyushu, Fukuoka 804-8550, Japan

  • Grad. School of Adv. Tech., Kinki Univ.,11-6 Kayanomori, Iizuka, Fukuoka 820-2555, Japan

  • Grad. School of Sci. & Engrg, Saga Univ.,1 Honjocho, Saga840-8502, Japan

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  • APA Style

    Y. Sun, S. Kanemitsu, H. Kitajima. (2015). On Some Point Groups. Pure and Applied Mathematics Journal, 4(2-1), 42-46. https://doi.org/10.11648/j.pamj.s.2015040201.18

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    ACS Style

    Y. Sun; S. Kanemitsu; H. Kitajima. On Some Point Groups. Pure Appl. Math. J. 2015, 4(2-1), 42-46. doi: 10.11648/j.pamj.s.2015040201.18

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    AMA Style

    Y. Sun, S. Kanemitsu, H. Kitajima. On Some Point Groups. Pure Appl Math J. 2015;4(2-1):42-46. doi: 10.11648/j.pamj.s.2015040201.18

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  • @article{10.11648/j.pamj.s.2015040201.18,
      author = {Y. Sun and S. Kanemitsu and H. Kitajima},
      title = {On Some Point Groups},
      journal = {Pure and Applied Mathematics Journal},
      volume = {4},
      number = {2-1},
      pages = {42-46},
      doi = {10.11648/j.pamj.s.2015040201.18},
      url = {https://doi.org/10.11648/j.pamj.s.2015040201.18},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.pamj.s.2015040201.18},
      abstract = {In this note, we indicate the coincidence as abstract groups of some point groups which belong to different molecular orbitals. This elucidates somewhat vague presentation in many existing textbooks on molecular orbitals, thus abridging between group theory and quantum chemistry.},
     year = {2015}
    }
    

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