Lattice Dynamical Model of Ignition.
Abstract
The paper on a lattice dynamical model of ignition for molecular crystals is divided into three parts. In Part I the formal expression for the transition rate for a molecule in a crystal to absorb three phonons of lattice energy into the lowest frequency molecular vibrational mode (0 to 1 transition) is obtained. Then, the change in the transition rate of a perfect molecule, due to a nearest neighbor impurity, is discussed for some cases. Two separate examples of a microscopic 'hot spot' are demonstrated. In Part II a simple microscopic model of a chemical reaction in a solid caused by vibrational excitation is formulated for a crystal composed of perfect inert molecules with a chemically reactive impurity. Part III concerns the planned extension to three dimensions of the previous calculation of the transition rate on the effect called 'resonance absorption.' This theoretical calculation must be performed since the identification of the absorption mechanism depends on the comparison between the value of the experimental transition rate and the theoretical rate. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1974
- Accession Number
- AD0784076
Entities
People
- Denis F. Strenzwilk
Organizations
- Ballistic Research Laboratory