Wadsley–Roth phases have emerged as highly promising
anode
materials for Li-ion batteries and are an important class of phases
that can form as part of the oxide scales of refractory multiprinciple
element alloys. An algorithmic approach is described to systematically
enumerate two classes of Wadsley–Roth crystallographic shear
structures. An analysis of algorithmically generated Wadsley–Roth
phases reveals that a diverse set of oxide crystal structures belongs
to the Wadsley–Roth family of phases. First-principles calculations
enable the identification of crystallographic and chemical factors
that affect Wadsley–Roth phase stability, pointing in particular
to the importance of the number and nature of the edges shared by
neighboring metal–oxygen octahedra. A systematic study of Wadsley–Roth
phases in the Ti–Nb–O ternary system shows that the
cations with the highest oxidation states segregate to octahedral
sites that minimize the number of shared edges, while cations with
the lowest oxidation state accumulate to edge-sharing octahedra at
shear boundaries.