Absorption and emission spectroscopy of atoms

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Discussion Overview

The discussion centers on the spectroscopic absorption and emission characteristics of isotopes, specifically comparing Tritium and Helium-3, and exploring how variations in nuclear composition affect these properties. The scope includes theoretical considerations and technical explanations related to atomic interactions and energy levels.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that different isotopes of the same atom, such as Deuterium and Protium, exhibit variations in spectroscopic absorption and emission, suggesting a similar inquiry for Tritium and Helium-3.
  • Another participant explains that the primary interaction in an atom is Coulombic, and the mass of the nucleus alters the reduced mass, which has implications for spectroscopic properties.
  • A later reply asserts that the spectroscopic characteristics of Tritium and Helium-3 are very different due to changes in the number of protons and electrons affecting the coarse structure of the atom, while changes in neutrons influence the spectrum at a hyperfine level.
  • One participant emphasizes that Helium nuclei have twice the charge of Tritium, which significantly scales energy levels, suggesting that this factor is more impactful than the isotope effect.

Areas of Agreement / Disagreement

Participants express differing views on the extent to which isotopic differences affect spectroscopic properties, with some asserting significant differences and others highlighting the importance of nuclear charge in determining energy levels. The discussion remains unresolved regarding the specific impacts of these factors.

Contextual Notes

Participants reference various levels of energy changes (0.1 - 1 eV for coarse structure changes and 0.00001 - 0.0001 eV for hyperfine level changes), indicating a nuanced understanding of the interactions involved, though the exact implications of these changes remain debated.

MartinG
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Hello !

As I understand it, the different isotopes of the same atom have a slightly different spectroscopic absorption and emission where, for example, Deuterium absorbs slightly shorter wavelengths than Protium.

My question is if two isotopes of different atoms, for example Tritium and Helium 3, which have three nucleons in both atoms, the spectroscopic absorption and emission of the different Isotopes is the same or different?

I thank you in advance for your responses.
 
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The primary interaction in an atom is Coulombic. The effects of the mass of the heavier nucleus is predominately to alter the "reduced mass" $$\mu=m_e\frac 1 {1+\frac {m_e} {m_{nucleus}}}$$This is small and easy.
The other effects, which change nucleic charge (and electron number), affect all aspects of the interaction and produce major changes to the calculation and its outcome
 
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MartinG said:
My question is if two isotopes of different atoms, for example Tritium and Helium 3, which have three nucleons in both atoms, the spectroscopic absorption and emission of the different Isotopes is the same or different?
Very different.

Changing the number of protons and/or electrons in an atom will change it's coarse structure (at the level where even the Bohr model can predict a change). These changes are of order 0.1 - 1eV. Changing the number of neutrons in the nucleus changes the atom's spectrum at the hyperfine level (caused by magnetic interactions between the nuclear spin and the electrons' orbit and spin). These changes are at the level of 0.00001 - 0.0001 eV.
 
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Helium nuclei have twice the charge, which scales all energy levels with a factor 4. Instead of -13.6 eV the lowest energy state is now at about -54 eV. That's far more important than the relatively small isotope effect.
 
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