## Full Non-Rigid Group Theory and Symmetry of Melamine (2005)

Venue: | JOURNAL OF THE IRANIAN CHEMICAL SOCIETY |

### BibTeX

@MISC{Ashrafi05fullnon-rigid,

author = {A. R. Ashrafi and M. Hamadanian},

title = {Full Non-Rigid Group Theory and Symmetry of Melamine },

year = {2005}

}

### OpenURL

### Abstract

The non-rigid molecule group (NRG) theory in which the dynamic symmetry operations are defined as physical operations is a new field in chemistry. Smeyers, in a series of papers, applied this notion to determine the character table of restricted NRG of some molecules. For example, Smeyers and Villa computed the r-NRG of the triple equivalent methyl rotation in pyramidal trimethylamine with inversion and proved that the r-NRG of this molecule is a group of order 648, containing two subgroups of order 324 without inversion [5]. In this work, a simple method is described, through which it is possible to calculate character tables for the symmetry group of molecules. We study the full NRG of melamine, and prove that it is a groups of order 48, with 27 and 10 conjugacy classes. Also, we compute the symmetry of melamine and prove that it is a non-abelian groups of order 6. The method can be generalized to apply to other non-rigid molecules.

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(Show Context)
Citation Context ...estigate the f-NRG and symmetry of melamine (2,4,6-triamino-1,3,5-triazine). We prove that the fNRG of melamine has order 48 with 10 conjugacy classes. Throughout this paper, the notation is standard =-=[11,12]-=- and all groups considered are assumed to be finite. EXPERIMENTAL Let us recall some definitions and notations. An automorphism of a graph G is a permutation g of the vertex set 136 Full Non-Rigid Gro... |

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(Show Context)
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(Show Context)
Citation Context ...estigate the f-NRG and symmetry of melamine (2,4,6-triamino-1,3,5-triazine). We prove that the fNRG of melamine has order 48 with 10 conjugacy classes. Throughout this paper, the notation is standard =-=[11,12]-=- and all groups considered are assumed to be finite. EXPERIMENTAL Let us recall some definitions and notations. An automorphism of a graph G is a permutation g of the vertex set 136 Full Non-Rigid Gro... |

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(Show Context)
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(Show Context)
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