  A key feature of the crystallization of supercooled water confined in an
applied static electric field is that the structural order here is determined
not only by usual thermodynamic and kinematic factors (degree of supercooling,
difference between chemical potentials for a liquid and a crystal, and
viscosity) but also by the strength and direction of the applied electric
field, size of a system (size effects), and the geometry of bounding surfaces.
In this work, the electrocrystallization of supercooled water confined between
ideally flat parallel graphene sheets at a temperature of $T=268$~K has been
considered in this work. It has been established that structural order is
determined by two characteristic modes. The initial mode correlates with the
orientation of dipolar water molecules by the applied electric field. The
subsequent mode is characterized by the relaxation of a metastable system to a
crystalline phase. The uniform electric field applied perpendicularly to the
graphene sheets suppresses structural ordering, whereas the field applied in
the lateral direction promotes cubic ice $I_c$.
