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If you're looking at the probability of finding the electron of a hydrogen atom at a distance $r$ from the nucleus, it turns out that the Bohr model for the radius of the orbit only correlates with first peak of the probability function when $\ell = n-1$. Why is that?

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  • $\begingroup$ Because maybe, even though is insanely good for some aspects, it's a super 'crude' phenomenological model? $\endgroup$
    – Hydro Guy
    Commented Oct 20, 2014 at 11:15

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When $\ell = n-1$, there are zero radial nodes and a single maxima in the radial distribution function $(4\pi r^2R^2)$. The first peak is the only peak.

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