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

AI Thread Summary
Atomic radii are approximately 10^-10 meters, a value historically established by Niels Bohr in 1913, who noted that this measurement reflects the maximum probability distance of an electron from the nucleus in hydrogen. In contrast, nuclear radii are around 10^-14 meters, which can be inferred from Rutherford's scattering experiments that analyze the deflection of alpha particles by atomic nuclei. These experiments utilize energy conservation principles and Coulombic interactions to estimate the size of the nucleus. The distinction between atomic and nuclear radii highlights the different scales at which atomic and subatomic structures operate. Understanding these measurements is crucial for grasping fundamental concepts in atomic physics.
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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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