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.
Similar content being viewed by others
References
Bethe, H. 1930a. Zur Theorie des Durchgangs schneller Korpuskularstrahlen durch Materie. Ann. d. Phys. 5: 325–400, ?11
Bethe, H. 1930b. Zur Theorie des Durchgangs schneller Korpuskularstrahlen durch Materie. Ann. d. Phys. 5: 325–400, ?4
Bohr, N. 1915. On the Decrease of Velocity of Swiftly Moving Electrified Particles in Passing through Matter. Phil. Mag. 30: 581–612
Breit, G. 1929. The Effect of Retardation on the Interaction of Two Electrons. Phys. Rev. 34: 553–573
Gaunt, J.A. 1929. The Triplets of Helium. Proc. Roy. Soc. 122: 513–532
Møller, Chr. 1931. Über den Stoß zweier Teilchen unter Berücksichtigung der Retardation der Kräfte. Zeitschrift f. Phys. 70: 786–795
Steinke, E.G. and Schindler, H. 1932. Zertrümmerung von Blei durch Ultrastrahlung. Zeitschrift f. Phys. 75: 115
Williams, E.J. 1932. The Passage of - and -Particles through Matter and Born’s Theory of Collisions. Proc. Roy. Soc. London (A) 135: 108–131
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bethe, H. Braking formula for electrons of relativistic speed. EPJ H 39, 537–542 (2014). https://doi.org/10.1140/epjh/e2014-50028-5
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjh/e2014-50028-5