THEORETICAL INVESTIGATIONS OF THE PENETRATION OF KILOVOLT IONS AND ATOMS IN SOLIDS.
Final rept., 1 May 62-1 May 66,
BATTELLE MEMORIAL INST COLUMBUS OHIO
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Major sections treat two distinct problems arising in the theory of ion penetration. In the first, the Boltzmann transport equation and the method of Mellin transforms are used to calculate moments of the range distribution of particles stopped by elastic collisions in a medium of randomly located target atoms when cross sections are products of factors depending on energy and angle separately. Results are given for inverse power repulsive potentials and, with additional approximations, for Coulomb potentials with Thomas-Fermi screening. The effect of having several kinds of stopping atoms is considered and comparisons with measurements on amorphous WO3 are included. The representation of range distributions by using moments in an Edgeworth series is also treated. The second problem, the spreading of weak disturbances in crystals, has a bearing on energy loss from focused collision sequences and similar questions. Detailed results are given for the energy loss from a disturbed atom in a simple cubic lattice with central and noncentral forces between nearest neighbors. These include the calculation of additional terms in the expansion which applies at long times. Author
- Nuclear Physics and Elementary Particle Physics
- Solid State Physics