  We extend the existing theoretical model for determining the characteristic
features of magnetic deflagration in nanomagnet crystals. For the first time,
all energy levels are accounted for calculation of the the Zeeman energy, the
deflagration velocity, and other parameters. It reduces the final temperature
and significantly changes the propagation velocity of the spin-flipping front.
We also consider the effect of a strong transverse magnetic field, and show
that the latter significantly modifies the spin-state structure, leading to an
uncertainty concerning the activation energy of the spin flipping. Our front
velocity prediction for a crystal of Mn$_{12}$-acetate in a longitudinal
magnetic field is in much better agreement with experimental data than the
previous reduced-model results.
