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