In studying the mechanism of chemical reactions occurring in the vicinity o
f absolute zero temperature, a new phenomenon, the oscillating self-propaga
tion of chemical transformation, was observed. Under local brittle fracture
of a sufficiently large reactant sample preradiolyzed at an epicritical ra
diation dose, a chemical reaction starts again on newly formed surfaces. Te
mperature or density gradients created in the course of the reaction result
in further layer-by-layer dispersion of the solid sample. Owing to this po
sitive feedback, the autowave of chemical transformation propagates through
out the sample. Such an oscillating mode of conversion is observed for a va
riety of chain chemical reactions: chlorinating of hydrocarbons, hydrobromi
nation of olefins, and polymerization at 4-77 K. Further research in this a
rea may lead to development of radically new technologies for syntheses of
methane, ammonia, etc.