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Z1 3-Dependent Stopping Power and Range Contributions

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Abstract

The stopping power of a target, composed of atoms with atomic number Z2, for a projectile of charge Z1e and velocity v1, depends in first Born approximation on the projectile charge as (Z1e)2. Recently [1], we extended this theory to include the (Z1e)3 dependence in a classical treatment which is equivalent to a second Born approximation. The Z1 3 contribution was calculated for the statistical model of the target atom in the Lenz-Jensen approximation.

Research sponsored by the U.S. Atomic Energy Commission under contract with Union Carbide Corporation.

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References

  1. ] J. C. Ashley, R. H. Ritchie, and W. Brandt, Phys. Rev. B5, 2393 (1972).

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  2. H. H. Andersen, H. Simonsen, and H. Sørensen, Nucl. Phys. A125, 171 (1969).

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  3. Tables of the function κ(b,x) over a wide range of x for b = 1.8 ± 0.2, as well as an extended discussion of the work described in this paper will soon be available in: J. C. Ashley, R. H. Ritchie, and W. Brandt, Phys. Rev. (to be published).

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  4. W. H. Barkas, Nuovo Cimento 8, 201 (1958).

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  5. See, e.g., M. M. Shapiro, “Nuclear Emulsions,” in Handbuch der Physik, edited by S. Flügge (Springer-Verlag, Heidelberg, 1958) Vol. 45, p. 361 ff.

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  7. J. D. Jackson and R. L. McCarthy, Phys. Rev. B6, 4131 (1972), have repeated our treatment for a somewhat different small impact-parameter cutoff and have included relativistic corrections.

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  13. J. C. Ashley, V. E. Anderson, R. H. Ritchie, and W. Brandt, “Z1 3-Effect in the Stopping Power of Matter for Charged Particles: Tables of Functions,” NAPS Document No. 02195, to be ordered from ASIS NAPS, c/o Microfiche Publications, 305 E. 46th St., New York, N. Y. 10017, remitting $1.50 for microfiche or $5.00 for photocopy up to 30 pages and $0.15 per each additional page over 30. Estimate 17 pages.

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  14. A more definitive treatment of mean excitation potentials is planned based on the more recent stopping power data of H. Sørensen and H. H. Andersen (Phys. Rev., to be published). This later data extends the work of Ref. 10 to higher energies and includes several heavier elements.

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© 1975 Springer Science+Business Media New York

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Ashley, J.C., Ritchie, R.H., Brandt, W. (1975). Z1 3-Dependent Stopping Power and Range Contributions. In: Datz, S., Appleton, B.R., Moak, C.D. (eds) Atomic Collisions in Solids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3117-9_3

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  • DOI: https://doi.org/10.1007/978-1-4684-3117-9_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-3119-3

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