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Title:
An Experimental Investigation of de Broglie's Equation
Authors:
Tappert, J. G.
Affiliation:
Randal Morgan Laboratory of Physics, University of Pennsylvania, Philadelphia, Pennsylvania
Publication:
Physical Review, vol. 54, Issue 12, pp. 1085-1088
Publication Date:
12/1938
Origin:
APS
Abstract Copyright:
(c) 1938: The American Physical Society
DOI:
10.1103/PhysRev.54.1085
Bibliographic Code:
1938PhRv...54.1085T

Abstract

The validity of de Broglie's equation is checked experimentally for electrons of 24 to 64 electron-kilovolts energy. The experiment consists essentially of deflecting a beam of cathode rays by an electrostatic field and, keeping the deflection constant, determining the relation between the intensity of the deflecting field, V, and the de Broglie wave-length, λ, of the deflected electrons. On the assumption that the motion of the electrons is in accordance with the laws of relativistic mechanics, and that the de Broglie wave-length is inversely proportional to the momentum, it is shown theoretically that the expression λ2V(1+h2m02c2λ2)12 should be independent of λ. Within the limits of experimental error this expression is found to be independent of λ, thereby demonstrating that the de Broglie equation, λ=hmv, combined with the relativity expression for m, is adequate to describe the facts.
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