Figure 2. The structure of dirhenium decacarbonyl.Figure 1

E. Suleiman and MI. Bello / Science Forum (Journal of Pure and Applied Sciences) 16 (2019) 1 – 4
4
The character table is displayed as follows:
4. Conclusion
From the forgoing, we have seen a competent method in the construction of the character table for the symmetry group. Group theory construction of the nonrigid molecule, denoted by f-NRG was employed and the group package GAP was used to compute the character table as seen in Table 1
. It was shown that the Dirhenium Decacarbonyl Molecule exhibits internal rotations which area direct group Z
2
×Z
4
which consists of 8 permutations. It contains 8 con- jugacy classes and 8 irreducible characters. Note that the Dimanganese Decacarbonyl Mn
2
(CO)
10
and
Ditechnectium Decacarbonyl Tc
2
(CO)
10
, are compounds that have the same structure and same character table with Dirhenium Decacarbonyl molecule.
References
Balasubramanian K. Recent applications of group theoretical generators to chemical physics. Croat Chem Acta
1984; Dalton BJ. The symmetry group paradox for nonrigid molecules. Centre for Quantum and Optical Science, Faculty of Science, Engineering and Technology, Swinburne University of Technology, Melbourne, Victoria, Australia, 2019.
Darafsheh MR, Ashrafi AR, Darafsheh A. Group Theory for
Tetrmethylene. Acta Chim. Slov a 52:282–7.
Darafsheh MR, Farjami Y, Ashrafi AR. Computing the full nonrigid group of tetranitrocubane and octanitrocu- bane using wreath product. MATCH Commun Math
Comput Chem b Group theory and its application to chemistry. Available via https://chem.libretexts.org/Bookshelves/
Physical_and_Theoretical_Chemistry_Textbook_
Maps/Supplemental_Modules_(Physical_and_
Theoretical_Chemistry)/Group_Theory/Group_
Theory_and_its_Application_to_Chemistry.
Horn K. Introduction to group theory with applications in molecular and solid state physics. Fritz-Haber-Institut der Max-Planck-Gesellschaft, 2011.
Longuet-Higgins HC. The symmetry groups of nonrigid molecules. Mol Phys 1963; 6(5):445–60; doi:10.1080/
00268976300100501.
Moghadiam ME, Karimi T, Alyar S. Group Thoery for nonrigid methyl borane derivatives. In 22nd Iranian Algebra Seminar, Hakim Sabzevari University, Sabzevari Iran, app 314–7.
Moghadiam ME, Karimi T, Farrokhi MDG. Full nonrigid group theory and symmetry of some diborane derivatives. Int J Phys Sci b Sagan BE. The symmetric group, representations, combina- torial, algorithms, and symmetric functions. Springer-
Verlag New York, New York, NY, The GAP Group. GAP-Groups, algorithms, and programming, Version, 2008. Available via http://www.gap-system.
org/
Wikipidia. Dirhenium decarbonyl, 2019.
Author Queries
Please provide the expansion for the abbreviation
“GAP.”
Please provide in-text citation for Figure Please provide in-text citation for the References
“Moghadiam et al., ab Darafsheh et alb Balasubramanian, 1984; Dalton, 2019; Horn,
2011; Sagan, 2001; The GAP Group, 2008.”

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