The tetragonal states produced by isotropic pseudomorphic epitaxial st
rain in the (001) plane on a tetragonal phase of a crystal are calcula
ted for V, Ti, Rb, Li, K, and Sr from first-principles electronic theo
ry. It is shown that each metal has two tetragonal phases correspondin
g to minima of the total energy with respect to tetragonal deformation
s (and hence are equilibrium phases) and that the equilibrium phases a
re separated by a region of inherent instability. The equilibrium phas
e for any strained tetragonal state can thus be uniquely identified. L
attice constants and relative energies of the two phases and the saddl
e point between them are tabulated, as well as the tetragonal elastic
constants of each phase.