  Investigations of the phase transitions and self-organization in the magnetic
aggregates are of the fundamental and applied interest. The long-range ordering
structures described in the Tom\'anek's systematization (M. Yoon, and D.
Tom\'anek, 2010 [1]) are not yet obtained in the direct molecular dynamics
simulations. The resulted structures usually are the linear chains or circles,
or, else, amorphous (liquid) formations. In the present work, it was shown,
that the thermodynamically equilibrium primary ferrofluid aggregate has either
the long-range ordered or liquid phase. Due to the unknown steric layer force
and other model idealizations, the clear experimental verification of the real
equilibrium phase is still required. The predicted long-range ordered
(crystallized) phase produces the faceting shape of the primary ferrofluid
aggregate, which can be recognized experimentally. The medical (antiviral)
application of the crystallized aggregates has been suggested. Dynamic
formation of all observed ferrofluid nanostructures conforms to the Tom\'anek's
systematization.
