2016
DOI: 10.1088/1367-2630/18/9/093011
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The optimal one dimensional periodic table: a modified Pettifor chemical scale from data mining

Abstract: 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 … Show more

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Cited by 68 publications
(65 citation statements)
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“…Early attempts, which predate machine learning, include, e.g., Pettifor structural maps that use elementary properties to separate different binary or ternary structures from each other in a 2D plot, allowing the prediction of new stable structures. [248][249][250][251] In some sense, Pettifor maps are already closely related to recent work, such as ref. 163 , where a structural map for binary structures based on chemical properties was developed with SISSO.…”
Section: Structure Predictionmentioning
confidence: 63%
“…Early attempts, which predate machine learning, include, e.g., Pettifor structural maps that use elementary properties to separate different binary or ternary structures from each other in a 2D plot, allowing the prediction of new stable structures. [248][249][250][251] In some sense, Pettifor maps are already closely related to recent work, such as ref. 163 , where a structural map for binary structures based on chemical properties was developed with SISSO.…”
Section: Structure Predictionmentioning
confidence: 63%
“…• Selected Ternary phases: Due to the vast chemical space available for ternary hydrides a systematic search can hardly be afforded and thus only few studies, in literature, explore selected phases and compositions on ternary hydrides. For example, one can focus on ternary compositions stable at ambient pressure or attempt for substitutions in binary hydride based on concepts as chemical substitubility [473,340], or electronic structure arguments.…”
Section: Optimizing Tc and Pressure In Hydridesmentioning
confidence: 99%
“…In Fig. 2(a,b) the adsorption energies are plotted as a function of metal A and B, that are arranged on an improved Pettifor scale 18,19 , with small adjustments for magnetic elements, which ensures a smooth variation of the adsorption energies with composition. Grey areas in the figure can be seen for structures where converged adsorption energies could not be obtained due to surface reconstruction, mismatch in the magnetic structure of the slab and the adsorbate-slab structure or convergence problems for the electronic structure calculation.
Fig.
…”
Section: Background and Summarymentioning
confidence: 99%