VTOS: three-dimensional visualizer of symmetry operations for d2 point group
Keywords:
molecular symmetry, Abelian group, three-dimensional model, D2 point groupAbstract
The construction and use of a simple 3D-model that is useful for visualizing the symmetry operations of D2-symmetry point group are presented. (C28-D2)[5,6]-fullerene and [Cu(en)2]2+ complex cation belong to this symmetry point group. The model can be built starting from low-cost or recyclable materials and the symmetry operations serve as a theoretical basis for its design. Because it is a point group of order four, D2 is ideal for introducing basic concepts of group theory, such as "multiplication table" and the Abelian group.
References
Bogart, K. (2017). Groups acting on sets. In Combinatorics through guided discovery (pp. 103-132). Createspace Independent Publishing Platform.
Cotton, A. (1999). La Teoría de Grupos Aplicada a la Química. Limusa.
Cozzi, F., Powell, W. H., y Thilgen, C. (2005). Numbering of fullerenes (IUPAC recommendations 2004). Pure and Applied Chemistry, 77(5), 843-923. https://doi.org/10.1351/pac200577050843
Fuentes Cobas, L., y Fuentes Montero, M. (2008). La Relación estructura-simetría-propiedades en cristales y policristales. Reverté.
Hargittai, M., y Hargittai, I. (2009). Symmetry through the eyes of a chemist. Springer Science & Business Media.
Pérez-Benítez, A. (2002). Ejemplificando la quiralidad con un clip. Educación Química, 13(1), 33-36. https://doi.org/10.22201/fq.18708404e.2002.1.66316
Pérez-Benítez, A., y Arroyo-Carmona, R. E. (2003). Simetría para principiantes con un modelo octaédrico plegable. Educación Química, 14(4), 225-231. https://doi.org/10.22201/fq.18708404e.2003.4.66230
Thakkar, A. (2017). Quantum chemistry: A concise introduction. Morgan & Claypool Publishers.
Tipler, P. A., y Mosca, G. (2006). Física para la ciencia y la tecnología. I. Mecánica, oscilaciones y ondas, termodinámica (p. 286). Reverté.
Willock, D. (2009). Molecular symmetry (pp. 25-44). John Wiley & Sons.
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Copyright (c) 2021 Rosa Elena Arroyo-Carmona, Hugo Vázquez-Lima, Samuel Hernández-Anzaldo, Yasmi Reyes-Ortega, Aarón Pérez-Benítez
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