  Disordering of solids typically leads to amorphization, but polymorph
transitions, facilitated by favorable atomic rearrangements, may temporarily
help to maintain long-range periodicity in the solid state. In
far-from-equilibrium situations, such as atomic collision cascades, these
rearrangements may not necessarily follow a thermodynamically gainful path, but
may be kinetically limited. In this Letter, we focused on such crystallization
instead of amorphization in collision cascades in gallium oxide (\ce{Ga2O3}).
We determined the disorder threshold for irreversible $\beta$-to-$\gamma$
polymorph transition and explained why it results in elevating energy to that
of the $\gamma$-polymorph, which exhibits the highest polymorph energy in the
system below the amorphous state. Specifically, we demonstrate that upon
reaching the disorder transition threshold, the \ce{Ga}-sublattice kinetically
favors transitioning to the $\gamma$-like configuration, requiring
significantly less migration for \ce{Ga} atoms to reach the lattice sites
during post-cascade processes. As such, our data provide a consistent
explanation of this remarkable phenomenon and can serve as a toolbox for
predictive multi-polymorph fabrication.
