Abstract
Focusing of the Silsbee type is studied in a row of identical atoms with the uniform spacing , which interact during collisions through a repulsive potential . Two energy-dependent parameters are introduced: the distance of closest approach in a head-on collision , and . In terms of these, the focusing parameter is approximately , where is an integral involving which depends mainly on . For simple exponential potentials and large , . Appreciably less focusing is predicted than follows from earlier approximations which correspond to putting . For chains in copper, focusing is found at energies below 23 ev. This compares well with the 30 ev obtained by Gibson et al., for their three-dimensional model of copper.
- Received 26 June 1961
DOI:https://doi.org/10.1103/PhysRev.124.745
©1961 American Physical Society