Three-dimensional analysis of the lattice confinement effect on ion dynamics in condensed matter and lattice effect on the D-B nuclear reaction channel

A three-dimensional analysis of the dynamics of hydrogen isotopes confined within a metal lattice, like palladium or nickel, is presented. It is assum ed that the concentration of the hydrogen isotopes, as an atomic fraction, is close to unity and that coherent oscillations of the metal atom electron s near to the Fermi level take place. Coherent oscillations of the Fermi-le vel electrons in the metal lattice carl produce an oscillating electric fie ld within the cell and hence produce a radio-frequency oscillation of ions like protons or deuterons. The trajectories of the ions can be studied by m eans of the equations of motion. The results show that under proper initial conditions, the closest distance of approach between two ions or between a n ion and the nucleus of an atom of the host metal lattice can be reduced b elow 0.1 Angstrom. An evaluation of the excess of heat production has been done for the D-D reaction within a Pd lattice by approximating the reaction both to an s-wave and a d-wave process, respectively. Last, the effect of the lattice field, which causes the collisions between ions, on the nuclear reaction channel for the D-D reaction is investigated by evaluating the tr ansition probability for a stimulated decay.