What is Rutherford scattering: Definition and 54 Discussions

Rutherford scattering is the elastic scattering of charged particles by the Coulomb interaction. It is a physical phenomenon explained by Ernest Rutherford in 1911 that led to the development of the planetary Rutherford model of the atom and eventually the Bohr model. Rutherford scattering was first referred to as Coulomb scattering because it relies only upon the static electric (Coulomb) potential, and the minimum distance between particles is set entirely by this potential. The classical Rutherford scattering process of alpha particles against gold nuclei is an example of "elastic scattering" because neither the alpha particles nor the gold nuclei are internally excited. The Rutherford formula (see below) further neglects the recoil kinetic energy of the massive target nucleus.

The initial discovery was made by Hans Geiger and Ernest Marsden in 1909 when they performed the gold foil experiment in collaboration with Rutherford, in which they fired a beam of alpha particles (helium nuclei) at foils of gold leaf only a few atoms thick. At the time of the experiment, the atom was thought to be analogous to a plum pudding (as proposed by J. J. Thomson), with the negatively-charged electrons (the plums) studded throughout a positive spherical matrix (the pudding). If the plum-pudding model were correct, the positive "pudding", being more spread out than in the correct model of a concentrated nucleus, would not be able to exert such large coulombic forces, and the alpha particles should only be deflected by small angles as they pass through.

However, the intriguing results showed that around 1 in 20000 alpha particles were deflected by very large angles (over 90°), while the rest passed through with little deflection. From this, Rutherford concluded that the majority of the mass was concentrated in a minute, positively-charged region (the nucleus) surrounded by electrons. When a (positive) alpha particle approached sufficiently close to the nucleus, it was repelled strongly enough to rebound at high angles. The small size of the nucleus explained the small number of alpha particles that were repelled in this way. Rutherford showed, using the method outlined below, that the size of the nucleus was less than about 10−14 m (how much less than this size, Rutherford could not tell from this experiment alone; see more below on this problem of lowest possible size). As a visual example, Figure 1 shows the deflection of an alpha particle by a nucleus in the gas of a cloud chamber.
Rutherford scattering is now exploited by the materials science community in an analytical technique called Rutherford backscattering.

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  1. P

    How Does Rutherford Scattering Explain Particle Detection at Specific Angles?

    A) While reproducing the Rutherford scattering experiment in an advanced laboratory class, a student uses a gold foil with thickness 16.7 nm. The radioactive source emits a particles at 10.50 MeV, and the detector is placed at 24.5 cm from the target foil. What fraction of the a particles is...
  2. J

    How Does Momentum Transfer Affect Scattering Angles in Rutherford Scattering?

    Calculate the Rutherford cross section for a 10 MeV alpha particle scattered at firstly an angle greater than 90 degrees and secondly for an angle greater than 10 degrees. What does the relative magnitudes tell you in relation to the probabilities of the momentum transfer at large and small...
  3. E

    Calculating Cross Section for Ion-Atom Scattering with Rutherford Potential

    Ok, so we have a potential energy V(r)= -C/r^4 which exists between an atom and ion at distances greater than contact. Note that C=e^2/2(P^2) where e is charge of ion and P is polarizability of atom. I have to calculate the cross section for an ion of velocity v to strike an atom, while assuming...
  4. B

    Why Does Rutherford Scattering Calculated Value Differ from the Book?

    I'm having problems with some of the more advanced questions about Rutherford Scattering and the Gieger-Marsden experiment. Can anyone suggest somewhere online where I can read up on this and that explains it well. One question that bugged me was this: use Rutherford scattering...
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