Talk:Table of spherical harmonics: Difference between revisions

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Twistar48 (talk | contribs)
Twistar48 (talk | contribs)
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For all of these reasons (1) I'm going to remove the <math>g</math>-orbital atomic orbital nomenclature names until someone tells me it is tabulated in the Chisholm reference or provides another reference. (2) I'm going to add 2 references for the atomic orbital names. (3) I also think we should have a description somewhere of how the atomic orbital nomenclature is derived. Unfortunately, again, this is not explained anywhere in the literature. If we stick to <math>f</math> orbitals and below I think we could just say it comes from the <math>x, y, z</math> expansion of the spherical harmonic and then dropping any terms then <math>z, r</math> that aren't the highest exponent in <math>z</math>. One big question I have is where this explanation should go. Should it go on this page? The spherical harmonics page? Or one of at least 3 pages on atomic orbitals? I don't think it should go on the Spherical Harmonics page because that page doesn't really make reference to atomic orbital stuff, and I don't think it should be cluttered with that. I think an explanation should go on the atomic orbitals page and be linked to on this page. I may work on that. (4) Finally, I would be happy to work on adding the expansions for the real spherical harmonics up to 10, but I would be using the formula I derived in the link above (will post it here) along with mathematica or something for checking. If this is legit, I'll do that. If we require a referenced tabulation, I won't do that, but it seems a shame to leave them off when they're easily calculated.
 
Finally, I'm going to take this moment to advertise why I've become so interested in this. I'm working on a gallery of atomic orbitals page, inspired by this one, that can be found here: https://en.wikipedia.org/wiki/Draft:Gallery_of_Atomic_Orbitals. it was recently brought up on that page that I should label my orbitals using the atomic orbital nomenclature. My orbitals on that page go up to <math>h</math> so I was trying to find tabulations, but the only place I found any tabulations above <math>f</math> was here and The Orbitron. I took the approach on that page of giving orbitals <math>f</math> and below the atomic orbital names, but foregoing them above. [[User:Twistar48|Twistar48]] ([[User talk:Twistar48|talk]]) 16:33, 20 February 2022 (UTC)
 
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