Equivalence of Bain and Zener transformations

Abstract The Zener and Bain transformations both take a b.c.c. lattice into an f.c.c. lattice. The Zener transformation is made up of three basic transformations, which, if taken in certain proportions, make it identical to a Bain transformation plus a rotation. The entire family of Zener transformations preserve the (110) b.c.c. habit plane, converting it to a (111) f.c.c. plane. When a sodium pseudo-potential is used, the saddle point of the lattice potential versus Zener transformation lies exactly on the Bain equivalent path through strain space.