Details of the normal zone propagation and the temperature distribution in
the coils of ATLAS Toroids under quench are presented. A tailor-made mathem
atical model and corresponding computer code enable obtainment of computati
onal results for the propagation process over the coils in transverse (turn
-to-turn) and longitudinal directions. The slow electromagnetic diffusion i
nto the pure aluminum stabilizer of the Toroid's conductor, as well as the
essentially transient heat transfer through inter-turn insulation, is appro
priately included in the model, The effect of non-uniform distribution of t
he magnetic field and the thermal links to the coil casing on the temperatu
re gradients within the coils is analyzed in full.