Atomic and Nuclear Radii Evidence: An Overview of Size Scales in Atomic Physics

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SUMMARY

The discussion centers on the evidence supporting the sizes of atomic and nuclear radii, specifically that atomic radii are approximately 10^-10 meters and nuclear radii are about 10^-14 meters. Niels Bohr's work in 1913 established the concept of atomic radius, particularly for hydrogen, where the first Bohr radius represents the maximum probability distance of finding an electron from the nucleus. Additionally, the Rutherford scattering model provides insights into nuclear radii by applying energy conservation principles to analyze alpha particle interactions with nucleons.

PREREQUISITES
  • Quantum Mechanics fundamentals
  • Understanding of atomic structure
  • Familiarity with Rutherford scattering experiments
  • Basic knowledge of Coulomb's law
NEXT STEPS
  • Study the Bohr model of the hydrogen atom
  • Explore Rutherford's gold foil experiment and its implications
  • Learn about quantum mechanical definitions of atomic and nuclear radii
  • Investigate the role of Coulomb potential in particle scattering
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Students and educators in physics, researchers in atomic physics, and anyone interested in the fundamental principles of atomic and nuclear sizes.

briton
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Describe briefly one piece of evidence for each of the following statements.
i) Atomic radii are about 10^-10m

ii) Nuclear radii are about 10^-14m




Each part is worth 4 marks, so I would really appreciate if someone could reply with some slightly easy to understand, but quite detailed points.

Thankyou.
 
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briton said:
Describe briefly one piece of evidence for each of the following statements.
i) Atomic radii are about 10^-10m

ii) Nuclear radii are about 10^-14m




Each part is worth 4 marks, so I would really appreciate if someone could reply with some slightly easy to understand, but quite detailed points.

Thankyou.

1.For the first part,i guess that,historically,the first to get a value for the atom radius of the H atom was Niels Bohr in 1913.Yet,he said that there wasn't only one value for this number,but an infinity.It's the famous eq.of radial distance (between the proton and the electron) quantization.
In the terms of QM,the concept of "atomic radius" loses segnificance,but one can define it as the distance to the nucleus at which the probability of finding the lousy electron (for the H atom) is maximum.For more atoms,it's not that simple,since it wouldn't work.For the H atom,that number is exactly the first Bohr radius.
2.The Rutherford scattering model should provide u with a radius of the scattering nucleon.Apply the law of energy conservation.Assume the nucleon is fix (has amuch greater mas than the incoming alpha particle) and the potential of scaterring is Coulomb type.

Daniel;
EDIT:I KNEW IT WOULD HAVE SOMETHING TO DO WITH SIR ERNEST RUTHERFORD :-p
 
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