Molecular Theory of Energy Conversion and of Initiation of Chemical Reactions in Solids
A theory has been developed to describe the initiation of chemical reactions in solids. Two basic assumptions are made to formulate the model. First, the initiation of chemical reactions in solids ultimately results from the vibrational excitation of the individual molecules in the solid, and second, the lattice vibrations in a solid can be treated as pseudocollisions between the individual molecules in the lattice. In effect, the solid is treated as an ordered dense gas. These assumptions permit us to describe chemical reactions in a solid within the framework of collision theory. The resultant rate constant, k, depends on molecular and lattice parameters and on the temperature. It is of the form [Formula: see text], where N is the number of nearest neighbor molecules, b is the lattice spacing, v is the mean velocity of the individual molecules, and [Formula: see text]is the probability of translational–vibrational energy conversion.Conclusions based on the present model are in accord with qualitative results from a hard sphere model. For example, energy conversion (translational to vibrational) is many orders of magnitude greater in the region of a defect. Consequently, the probability for initiation of chemical reactions is orders of magnitude greater in the region of a defect.