Alpha-Particle Scattering Experiments and
Rutherford's Nuclear Atom


Identification of the nucleus of the atom by Rutherford in 1911 is one of the greatest landmarks in science. It was followed by the recognition of the proton and neutron as constituents of nucleus. But before we look at the
[scattering] experiments and Rutherford's atomic model, it is worth noting the neglected publication of the Janpanese physicist, Nagaoka, in 1904, to which Rutherford himself drew attention.



Maybe the atom is just like Saturn...


In 1904, Nagaoka published his tentative theory of the stable nuclear atom, with a small, massive, positively charged nucleus around which circled a large number of negatively charged
[oscillating] electrons. He compared the atom to Saturn, the planet with "rings" around it. He proposed that the atom could be approximately visualized by replacing Saturn's satellites (i.e. Saturn's rings) with electrons and substituting the attracting centre by a positively charged particle. He concluded his paper by suggesting that it "may serve as a hint to a more complete solutions of atomic structure"



The Alpha-Particle Scattering Experiments


"...it was quite the most incredible event that has ever happened to me in my life. It was almost as incredible as if you had fired a 15-inch shell at a piece of tissue paper and it came back and hit you..." said Rutherford, 1936.


 

In 1909, Geiger and Marsden , at Rutherford's suggestion, investigated the possibility of larger angle scattering of alpha particles by matter. The experimental arrangement was shown in the figure:



They worked with the gold foils with different thicknesses. Nearly all of the alpha particles passed through the gold foil of about 1 µm thick while a small number were deflected and a few even bounced back.
They also estimated in every 8000 alpha particles bombarding the foil, one alpha particle would be bounced back, under the conditions of their experiment Rutherford later expressed that it seemed rather like firing a machine gun at tissue paper, and finding that some of the bullets bounce back!



What's wrong with the bun?

 As the Thomson atom was considered to consist of negatively charged electrons embedded in a sphere of positive charge, there was no region within the atom where there would be an appreciable net concentration of charge. Therefore, there was no strong electric field to deflect the alpha particle by over 90&deg. The Thomson atom was in complete disagreement with the observation obtained in the scattering experiment.  




Rutherford's Theory (1911)


To account for this very surprising result, Rutherford suggested in 1911 that all the positive charge and nearly all the mass were concentrated in a very tiny region called the nucleus, at the centre of the atom. The rest of the atom was largely empty space through which the alpha particles could travel straight on.


Rutherford's nuclear atom



Rutherford considered the electrons to be outside the nucleus. The electrostatic attraction between the two opposite charges ( the negatively charged electrons and the positively charged nucleus) provided the
[centripetal force] for the circular movement of electrons around the nucleus. Since they were relatively far away from the nucleus, their negative charge did not act as a shield to hinder the penetration of the alpha particles through the atom.
  The scattering of alpha particles was due to the strong [electrostatic repulsion]which the alpha particles experienced when they approached the positive nucleus. The closer the approach, the greater the scattering.

 

The scattering analogue

The diagram shows a gravitational analogue of the scattering experiment. A ball-bearing rolls down a ramp to climb up a 'hill'. The ball-bearing is deflected and the deflection depends on its direction of approach.







Experimental Tests of Rutherford's Theory


Rutherford derived an expression for the number of alpha particles deflected through various angles. Following Rutherford's analysis, Geiger and Marsden undertook a thorough investigation of Rutherford's alpha-scattering formula and published their results in 1913. The apparatus they used were shown in the figure:



A fine beam of alpha particles from a radioactive source fell on a thin foil of gold, platinum or other metal in an
[evacuated] box. The angular deflection of the particles was measured by using a microscope to observe the scintillations on the zinc-sulphide screen. The screen and microscope could be rotated together relative to the foil and the source.


After spending many hours in a darkened room, counting the scintillations for a wide range of angles, they obtained results which gave approximate agreement with the prediction of Rutherford's scattering formula.


Size of the nucleus


Geiger and Marsden's investigations of the scattering of alpha particles by metal foils gave the first indication of the size of the nucleus. It is now known that the nuclear radii are in the range from 1 x 10-15 to 8 x 10-15 m. If we were to scale up the whole atom to the size of Hong Kong, then the nucleus would be about the size of a man. The electrons would be like flies.

Rutherford pointed out that he had not given consideration to the stability of the atom. However, in 1913, another scientist, Niels Bohr extended Rutherford's Theory and arrived at a more accurate atomic structure.

 

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