The effects of explosive shock wave propagation through a solid state molecular structure
Clark, David Edwin
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This work was primarily devoted towards a high energy shock wave and its effect upon a completely harmonic system. A classical linear model of twenty diatoms was formulated and perturbed via a ballistic particle of equivalent mass. The inner two diatom pairs were chosen for the classical study in order to restrict center of mass movement within the lattice and to represent inner lattice substituents. These inner atoms were perturbed by direct interactions of their neighbor atoms (entering and absorbing driving atoms). Wyatt and Marston used the action of these atoms to establish a time-dependent driving potential for two diatoms. The entering atom (q) provided the initial interaction from the shock to the cluster; whereas, the absorbing atom (q) acted as a reservoir for the energy to be released from the cluster. The dynamical data from the classical results of q and q was used directly to formulate an interaction potential for a quantum mechanical model of two diatoms; thus, the classical and quantum model experienced similar potentials. The quantum model was represented by four normal modes, upon perturbation yielded quantum dynamical data for comparison to the classical system. Wyatt and Marston showed that a high energy shock imposed upon a harmonic quantum system converges, as expected, to the classical results. (MJM)
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