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— CH. 1 · THE PLUM PUDDING MODEL —

Rutherford scattering experiments

~3 min read · Ch. 1 of 6
6 sections
  • J. J. Thomson proposed his atomic model in 1905, imagining electrons floating inside a sphere of uniform positive charge. He described this positive electricity as a liquid with cohesion to keep it from flying apart under its own repulsion. This sphere filled the entire volume of the atom, meaning any incoming particle would encounter forces spread evenly throughout. Thomson calculated that beta particles passing through such an atom would experience very small deflections. Even after passing through many atoms in succession, the total deflection should remain less than one degree. Scientists believed alpha particles behaved similarly because they possessed much more momentum than beta particles. The prevailing theory held that large-angle scattering was impossible within this framework.

  • Hans Geiger worked in a darkened laboratory for hours on end counting tiny flashes of light. These scintillations appeared when alpha particles struck a phosphorescent screen made of zinc sulfide. A microscope allowed him to count each individual flash produced by the impact. The team used radium emanation as their source of alpha particles because it was thousands of times more radioactive than uranium. They tested various metals but favored gold due to its extreme malleability which allowed them to create extremely thin foils. The apparatus consisted of a glass tube containing low pressure gas and two electrodes designed to detect ionization pulses. Geiger pumped air out of the tube to ensure unobstructed paths before introducing the metal foil targets.

  • In 1909 Ernest Marsden observed that approximately one in eight thousand alpha particles bounced back from the gold foil. This result contradicted Thomson's model which predicted such an event would be undetectable. Rutherford later described his shock at these results during a lecture delivered on the 15th of October 1936 at Cambridge University. He stated that the probability of deflection exceeding ninety degrees should have been zero according to existing theories. The observation forced a complete revision of atomic structure models within months. Scientists realized the positive charge must be concentrated in a tiny nucleus rather than spread throughout the atom. This concentration created electric fields strong enough to reverse the direction of incoming particles.

  • Rutherford published his landmark paper titled The Scattering of α and β Particles by Matter and the Structure of the Atom in 1911. He derived a mathematical equation assuming all positive charge resided at a single point center. His calculations utilized hyperbolic trajectories for alpha particles moving under repulsive Coulomb forces. Conservation of angular momentum and energy allowed him to relate impact parameters to scattering angles. The resulting formula showed that scattering intensity varied inversely with the fourth power of the sine of half the angle. Rutherford estimated the central charge qn to be about plus one hundred units based on this data. The derivation proved that single collisions could produce large deflections if the target was sufficiently dense.

  • Geiger and Marsden conducted a series of experiments in 1913 to verify Rutherford's theoretical predictions. They measured how the number of scintillations per minute changed as they rotated their microscope around the foil. Their results confirmed that particle counts were proportional to the cosecant raised to the fourth power of the angle. They also tested varying thicknesses of gold and silver foils to check linear relationships with material depth. Another set of tests examined how atomic weight squared influenced the scattering rate across different metals. These four specific experimental validations matched the mathematical equation derived by Rutherford within the margin of error.

  • Niels Bohr arrived at Manchester as a post-doctoral student following Rutherford's invitation in 1912. He abandoned his work on Thomson's model to develop what became known as the Rutherford-Bohr model. This new framework incorporated early ideas of quantum mechanics to explain electronic spectra and chemical concepts. Hantaro Nagaoka wrote from Tokyo in February 1911 praising the simplicity of the apparatus used for these discoveries. The astronomer Arthur Eddington called this finding the most important scientific achievement since Democritus proposed the atom ages earlier. Rutherford himself was later hailed as the father of nuclear physics after introducing the term nucleus in 1912. The legacy of these experiments shifted the entire field toward studying subatomic matter through scattering processes.

Common questions

What did J. J. Thomson propose about atomic structure in 1905?

J. J. Thomson proposed his atomic model in 1905, imagining electrons floating inside a sphere of uniform positive charge. He described this positive electricity as a liquid with cohesion to keep it from flying apart under its own repulsion.

When did Ernest Marsden observe alpha particles bouncing back from gold foil?

In 1909 Ernest Marsden observed that approximately one in eight thousand alpha particles bounced back from the gold foil. This result contradicted Thomson's model which predicted such an event would be undetectable.

Why was gold chosen for Rutherford scattering experiments?

The team favored gold due to its extreme malleability which allowed them to create extremely thin foils. They tested various metals but selected gold because its properties enabled the necessary experimental conditions.

What date did Rutherford describe his shock at the results during a lecture?

Rutherford later described his shock at these results during a lecture delivered on the 15th of October 1936 at Cambridge University. He stated that the probability of deflection exceeding ninety degrees should have been zero according to existing theories.

How many units of central charge did Rutherford estimate based on data?

Rutherford estimated the central charge qn to be about plus one hundred units based on this data. The derivation proved that single collisions could produce large deflections if the target was sufficiently dense.