| Peer-Reviewed

On Some Point Groups

Received: 1 February 2015     Accepted: 1 February 2015     Published: 12 February 2015
Views:       Downloads:
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.

Published in Pure and Applied Mathematics Journal (Volume 4, Issue 2-1)

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

DOI 10.11648/j.pamj.s.2015040201.18
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), 2015. 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.
Cite This Article
  • 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

    Copy | Download

    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

    Copy | Download

    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

    Copy | Download

  • @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://article.sciencepublishinggroup.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}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - On Some Point Groups
    AU  - Y. Sun
    AU  - S. Kanemitsu
    AU  - H. Kitajima
    Y1  - 2015/02/12
    PY  - 2015
    N1  - https://doi.org/10.11648/j.pamj.s.2015040201.18
    DO  - 10.11648/j.pamj.s.2015040201.18
    T2  - Pure and Applied Mathematics Journal
    JF  - Pure and Applied Mathematics Journal
    JO  - Pure and Applied Mathematics Journal
    SP  - 42
    EP  - 46
    PB  - Science Publishing Group
    SN  - 2326-9812
    UR  - https://doi.org/10.11648/j.pamj.s.2015040201.18
    AB  - 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.
    VL  - 4
    IS  - 2-1
    ER  - 

    Copy | Download

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

  • Sections