Is Bremsstrahlung Radiation Compatible with Rutherford's Scattering Experiment?

In summary, the conversation discusses the concepts of Bremsstrahlung Radiation and Rutherford's scattering experiment. It explains that the two processes are different due to the difference in mass between electrons and alpha particles, which affects the amount of energy lost through radiation. The conversation also mentions the role of conservation of energy in these processes.
  • #1
Jimmy87
686
17
Hi, I am having some difficulty understanding some of the concepts in involved in Bremsstrahlung Radiation. I have recently been learning about the Rutherford scattering experiment where an alpha particle is fired towards a gold nucleus. In my book there is a fairly simple derivation of how you can estimate the size of the nucleus from an alpha particle that goes head on towards a gold nucleus and gets back scattered. It says that since an alpha particle is positive then it will slow down as it heads towards the gold nucleus. It will then come to a complete stop and then get repelled back the way it came in. My book uses conservation of energy where it sets the kinetic energy of the alpha particle equal to the electrostatic potential energy at closest approach (since at this point all of the KE will be converted in electric PE). If you then solve for 'r' you get a number that is very close to the actual size of a nucleus. These concepts (as far as I can see) seem to clash with what I have read up about Bremsstrahlung Radiation. This radiation seems to be caused when electrons fired at a target atom get repelled and change direction due to interactions with the electric field of other electrons and/or the nucleus. Since this causes accelerations of the electrons that have been fired, electromagnetic radiation (namely X-rays) can be given off. If you apply the science behind Rutherford's scattering experiment then these electrons should come in with very high kinetic energies. They then lose KE but this gets converted into electrical PE. Surely this is conservation of energy so how is there room for electromagnetic radiation to be given off as well? Surely if the description of Bremsstrahlung Radiation is correct then the value of the size of the atom given by Rutherford's scattering experiment would be way off since you can't assume all the KE to be converted to electrical PE as some will be radiated as EM radiation as the alpha particle accelerates/decelerates?
 
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  • #2
Electrons and alpha particles are not the same. The bremsstrahlung process depends on the mass of the particle, and this differs by a factor of roughly 8000 for the two different types.
Yes there might be some energy loss for the alpha particles due to radiation, but it is negligible.
 

1. What is bremsstrahlung radiation?

Bremsstrahlung radiation, also known as braking radiation, is a type of electromagnetic radiation that is produced when a charged particle, typically an electron, is decelerated or accelerated by the electric field of an atom or nucleus.

2. How is bremsstrahlung radiation different from other types of radiation?

Bremsstrahlung radiation is different from other types of radiation, such as blackbody radiation or line radiation, because it is produced by the acceleration or deceleration of a charged particle rather than the thermal motion of particles or transitions between energy levels.

3. What are the applications of bremsstrahlung radiation?

Bremsstrahlung radiation has a wide range of applications, including medical imaging in X-ray machines, industrial radiography, and particle accelerators. It is also used in nuclear reactors to monitor the density and flow of fluids, and in astrophysics to study high-energy phenomena in space.

4. How is the intensity of bremsstrahlung radiation affected by the energy of the charged particle?

The intensity of bremsstrahlung radiation is directly proportional to the energy of the charged particle. This means that as the energy of the particle increases, so does the intensity of the radiation.

5. Is bremsstrahlung radiation harmful to human health?

Bremsstrahlung radiation can be harmful to human health, especially at high energies. However, its use in medical imaging and industrial applications is heavily regulated to ensure that exposure is kept within safe limits. The effects of bremsstrahlung radiation can also be mitigated through the use of shielding and protective equipment.

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