Carlos Contreras Ortega, Leonel Vera, Eduardo Quiroz Reyes
It is demonstrated that the accepted procedure of constructing character tables by making use of the known rules derived from The Great Orthogonality Theorem about the irreducible representations and their characters, can give more than one table as character table for some symmetry point groups. All these tables adhere perfectly well to the rules. The limitation to the known method is discussed. The procedure to obtain the correct table is indicated .
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