A cell-independent integer-matrix formalism classifies and exhaustively enumerates crystal-structure matches between two crystal phases, reproducing known solid-solid transition mechanisms and finding many new ones.
We say thatC(Z 3) = Ck k∈Z 3 is the lattice generated byC, andCis the base matrix of C(Z 3)
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Classification and enumeration of solid-solid phase transition mechanisms
A cell-independent integer-matrix formalism classifies and exhaustively enumerates crystal-structure matches between two crystal phases, reproducing known solid-solid transition mechanisms and finding many new ones.