Glawe, H., Sanna, A., Gross, E. K. U., Marques, M. A. L.
The optimal one-dimensional periodic table: A modified Pettifor
chemical scale from data mining
New Journal of Physics 18, (9),pp 093011/1-8 (2016)
Starting from the experimental data contained in the inorganic crystal structure database, we use a
statistical analysis to determine the likelihood that a chemical element A can be replaced by another B in a given structure. This information can be used to construct a matrix where each entry (A, B) is a measure of this likelihood. By ordering the rows and columns of this matrix in order to reduce its
bandwidth, we construct a one-dimension ordering of the chemical elements, analogous to the
famous Pettifor scale. The new scale shows large similarities with the one of Pettifor, but also striking differences, especially in what comes to the ordering of the non-metals.
TH-2016-36