Convex Hulls

Ternary Chemical Systems

  • Barycentric coordinates: composition mapped to an equilateral triangle base
  • Formation energy on the z-axis, with convex hull faces between stable points

Na-Fe-O

Li-Co-O

Quaternary Chemical Systems

  • Tetrahedral projection: 4D composition coordinates mapped into 3D space
  • Color-coded stability: each point colored by energy above hull
  • Drag & drop: load your own JSON data onto any diagram

Binary Chemical Systems

  • Formation energy vs. composition: stable phases lie on the lower convex hull