  Large scale Molecular Dynamics simulations of sixty-five systems with N=80000
Lennard-Jones particles at two different supercooled liquid state points
reveals, that the supercooled states contain spatially heterogeneous
distributed subdomains of particles with significant higher bond-order than the
mean bond-order in the supercooled liquid. The onset of crystallization starts
in such an area with relative high six-ford bond-order for a supercooled state,
but low bond-order for a fcc crystal. The critical nucleus of N \approx 70
particles is surrounded by many hundred of particles with relative high
supercooled liquid bond-order and many of these particles are aligned with the
crystal ordered particles in the critical nucleus. The crystallizations are
very fast and supported by a fast growth of the supercooled areas with relative
high liquid bond-order. The crystallization are to fcc crystals, but with
significant part of the crystallizations exhibit five fold arrangements of
polycrystalline subdomains mainly with fcc crystal order and sign of hcp
crystallites.
