Discussion Overview
The discussion revolves around the validity of Bohr's calculation of the atomic radius, particularly in the context of the ground state of neutral Helium and singly ionized Lithium. Participants explore the implications of Bohr's model in relation to electron behavior and probability density in quantum mechanics.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
- Mathematical reasoning
Main Points Raised
- One participant questions the accuracy of Bohr's method for calculating the radius, noting that their results for Helium and Lithium were close to established data.
- Another participant states that the Bohr radius is considered correct for Hydrogen and nearly correct for Helium, linking it to the radius of maximal electron density.
- A participant emphasizes that electrons do not orbit in fixed paths but are described by wavefunctions, suggesting that Bohr's radius corresponds to the maximum probability density rather than a physical orbit.
- One participant reports that while Bohr's radius aligns with the probability density for the ground state, it fails for higher energy states, indicating a limitation in Bohr's model.
- Another participant raises a question about the relationship between the Bohr radius and the maximum probability density in excited states, particularly for s orbitals, expressing uncertainty about the outcome.
- A participant mentions Mosley's law as potentially relevant to the calculations being discussed.
Areas of Agreement / Disagreement
Participants express a mix of agreement and disagreement regarding the applicability of Bohr's radius. While some find it useful for certain calculations, others challenge its validity, particularly for excited states, indicating that the discussion remains unresolved.
Contextual Notes
Participants note limitations in Bohr's model, particularly regarding the assumptions of circular orbits and the behavior of electrons in higher energy states. There is also mention of the dependence on definitions of radius and probability density.