SymPlex Plots for Visualizing Properties in High-Dimensional Alloy Spaces

Conventional visualization tools such as phase diagrams and convex hulls are ill-suited to visualize multiple principal element alloys (MPEAs) due to their large compositional space that cannot be easily projected onto two dimensions. Here, SymPlex plots are introduced to enable the visualization of various properties along special paths in high-dimensional phase spaces of MPEAs. These are polar heatmaps that plot properties along high-symmetry paths radiating from the parent equimolar MPEA to a set of chosen lower-order compositions. SymPlex plots capture the changes in the energy landscape along the special paths and help visualize the effect of addition or substitution of components on the alloy stability, which can be especially useful to assess processing pathways for additive manufacturing. Thus, SymPlex plots can help guide design of MPEAs by showing connections between compositions and their properties in the high-dimensional phase space with more information concentrated near the equimolar region.