The Rutherford Scattering Experiment Physics (卢瑟福散射实验物理).pdf
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The Rutherford Scattering Experiment
Tony Tyson
April 22, 2013
1 Introduction
The foundations of modern ideas about atomic structure are considered to have been laid by Sir
Ernest Rutherford in 1911, with his postulates concerning the scattering of alpha particles by atoms.
Two of his students, Hans Geiger and Ernest Marsden (an undergraduate), set out to measure
the number of alpha particles scattered out of a collimated beam upon hitting a thin metal foil.
They determined the angular distribution of the scattered particles for several different materials,
thicknesses and alpha energies. To their initial surprise, Geiger and Marsden found that some alpha
particles were scattered through large angles in atomic collisions. This large angle scattering of
alpha particles could not be explained by existing theories. This data lead Rutherford to speculate
on the structure of the atom and devise a new ”nuclear atom” model. His predictions concerning
the characteristics of this nuclear atom were confirmed by the subsequent experiments of Geiger
and Marsden with the scattering of alpha particles by thin gold and silver foils (Phil. Mag. 25. 605
(1913), Figure 1). Performance of similar experiments in an undergraduate laboratory is not only
of historical interest, but serves to demonstrate how scattering experiments provide the physicist
with a powerful investigative technique.
The essential idea of Rutherford’s theory is to consider the -particle as a charged mass traveling
according to the classical equations of motion in the Coulomb field of a nucleus. The dimensions
of both the -particle and nucleus are assumed to be small compared to atomic dimensions (
of the atomic diameter). The nucleus was assumed to contain most of the atomic mass and a
charge . On this picture the electrons w
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