Periodic chart, -dimensional

On this view that emphasizes the importance of models, Lander s metaphor of modern genetics as summarizable in a -dimensional periodic chart involving many thousands of genes falls short. It does so because it does not recognize the temporal/causal processing dimension of molecular... 

There are many two- and three-dimensional versions of the periodic chart of the elements (Van Spronsen 1969 Mazurs 1974). There are short charts, long charts, and charts based on the symmetry considerations of group dynamics (Barut 1972 Rumer and Fet 1972). Given that the chart of the elements is to be a template for the molecular periodic system, it follows that the choice of the former will greatly influence the appearance of the latter. The third assumption made by a designer of physical periodic systems, then, has to be that one certain two-dimensional chart is the best template for his or her molecular system. 

The fifth assumption concerns the numbers of dimensions that the system should have for maximum visualizability and usefulness. The dimensionality has been often taken as two to make the systems ideal for publication and ready reading, and sometimes to evoke the chart of the elements (Table 1). Three-dimensional periodic systems allow for more resolution in molecular classification but at an almost total loss of anyone s capability for finding a given molecule. The Southern Adventist University (SAU) collaboration has found that 2N dimensions are necessary to construct the most general periodic systems for V-atom molecules (Hefferlin et al. 1984 Hefferlin 1994) and assumes that clever means of visualization will eventually make it possible to find the molecules. 

If the row containing atoms were to be extended normal to the plane of the chart and enumerated with an axis for the periods and if the odd elements were to be supplied, then the chart of the elements would be produced. If the row containing diatomic molecules were twice to be extended normal to the plane of the chart and enumerated with two independent axes for periods, and if radicals were to be introduced, then the four-dimensional physical periodic system emerges. Analogous proliferation of axes for other rows of the figure would produce outer-product periodic systems for these A-atom molecules. 

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