The European Physical Journal H

, Volume 39, Issue 5, pp 537–542 | Cite as

Braking formula for electrons of relativistic speed

  • H. Bethe
Historical Document

Abstract

From the theory of Møller [Møller, Chr. 1931. Über den Stoß zweier Teilchen unter Berücksichtigung der Retardation der Kräfte. Zeitschrift f. Phys. 70: 786–795] the energy loss of electrons with relativistic speeds passing through matter is derived. The energy loss per centimeter of distance reaches a minimum at about 96% of the speed of light and increases again at higher speeds; for electrons of several billion Volt it is about 4 million Volt per centimeter of water. A table of the theoretical energy loss for electrons and protons of various speeds is given.

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References

  1. 1.
    Bethe, H. 1930a. Zur Theorie des Durchgangs schneller Korpuskularstrahlen durch Materie. Ann. d. Phys. 5: 325–400, ?11ADSCrossRefMATHGoogle Scholar
  2. 2.
    Bethe, H. 1930b. Zur Theorie des Durchgangs schneller Korpuskularstrahlen durch Materie. Ann. d. Phys. 5: 325–400, ?4ADSCrossRefMATHGoogle Scholar
  3. 3.
    Bohr, N. 1915. On the Decrease of Velocity of Swiftly Moving Electrified Particles in Passing through Matter. Phil. Mag. 30: 581–612CrossRefGoogle Scholar
  4. 4.
    Breit, G. 1929. The Effect of Retardation on the Interaction of Two Electrons. Phys. Rev. 34: 553–573ADSCrossRefMathSciNetMATHGoogle Scholar
  5. 5.
    Gaunt, J.A. 1929. The Triplets of Helium. Proc. Roy. Soc. 122: 513–532ADSCrossRefMATHGoogle Scholar
  6. 6.
    Møller, Chr. 1931. Über den Stoß zweier Teilchen unter Berücksichtigung der Retardation der Kräfte. Zeitschrift f. Phys. 70: 786–795ADSCrossRefMATHGoogle Scholar
  7. 7.
    Steinke, E.G. and Schindler, H. 1932. Zertrümmerung von Blei durch Ultrastrahlung. Zeitschrift f. Phys. 75: 115ADSCrossRefGoogle Scholar
  8. 8.
    Williams, E.J. 1932. The Passage of - and -Particles through Matter and Born’s Theory of Collisions. Proc. Roy. Soc. London (A) 135: 108–131ADSCrossRefMATHGoogle Scholar

Copyright information

© EDP Sciences and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • H. Bethe
    • 1
  1. 1.RomeItaly

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