Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

GROUP THEORY FOR TETRAAMMINEPLATINUM(II) WITH $C_{2v}\;AN;C_{4v}$ POINT GROUP IN THE NON-RIGID SYSTEM

  • Ashrafi, Ali-Reza (Department of Mathematics, Faculty of Science, University of Kashan) ;
  • Hamadanian, Masood (Department of Chemistry, Faculty of Science, University of Kashan)
  • 발행 : 2004.01.01

⟨ 이전 논문 다음 논문 ⟩

초록

The non-rigid molecule group theory (NRG) in which the dynamical symmetry operations are defined as physical operations is a new field of chemistry. Smeyers in a series of papers applied this notion to determine the character table of restricted NRG of some molecules. In this work, a simple method is described, by means of which it is possible to calculate character tables for the symmetry group of molecules consisting of a number of NH3 groups attached to a rigid framework. We study the full non-rigid group (f-NRG) of tetraammineplatinum(II) with two separate symmetry groups C2v and C4v. We prove that they are groups of order 216 and 5184 with 27 and 45 conjugacy classes, respectively. Also, we will compute the character tables of these groups.

키워드

참고문헌

  1. J. Chem. Phys. v.98 van der Waals rovibration levels and the high resolution spectrum of the argonbenzene dimer Ad van der Avoird
  2. Molecular Symmetry in Spectroscopy Ph. R. Bunker
  3. J. Appl. Math. & Computing(old KJCAM) v.7 no.3 The character table of the group $GL_2$(q) when extended by a certain group of order two M. R. Darafsheh;F. Nowroozi Larki
  4. J. Appl. Math. & Computing(old KJCAM) v.4 no.1 Computation of the complex character table of the group Aut($GL_7$(2)) M. R Darafsheh;Z. Mostaghim
  5. Character theory of finite groups I. M. Isaacs
  6. Representations and Characters of Groups G. James;M. Liebeck
  7. Applications of Finite Groups J. S. Lomont
  8. Mol. Phys. v.6 The symmetry groups of non-rigid molecules H. C. Longuet-Higgins
  9. Adv. Quantum Chem. v.24 Introduction to group theory for non-rigid molecules Y. G. Smeyers
  10. Structure and Dynamics of Non-Rigid Molecular Systems Y. G. Smeyers;Y. G. Smeyers(ed.)
  11. J. Chem. Phys. v.98 An ab initio structural and spectroscopic study of acetone An analysis of the far infrared torsional spectra of acetone-h6 and -d6 Y. G. Smeyers;M. L. Senent;V. Botella;D. C. Moule
  12. J. Math. Chem. v.28 no.4 A study of the internal dynamics of trimethylamine by menas of the non-rigid group theory Y. G. Smeyers;M. Villa
  13. J. Mol. Spect. v.191 Ab Initio Determination of the Torsion Wagging and Wagging-Bending Infrared Band Structure Spectrum of Methylamine Y. G. Smeyers;M. Villa;M. L. Senent
  14. J. Chem. Phys. v.41 Computation of character tables for nonrigid molecules A. J. Stone
  15. J. Chem. Phys. v.109 Two-dimensional treatment of the methyl and aldehydic torsions in gas phase propanal A. Vivier-Bunge;V. H. Uct;Y. G. Smeyers