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has a wavelength of 12370 nm), including the whole
Humphreys series would probably squash the other series into a single thick line, like the Lyman series is now. Using an actual logarithmic scale would solve this problem, and also un-squash the Lyman series. Alternatively, we could keep the linear
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It would be very useful to have a description of what the numbers n1 and n2 mean physically. Just saying that the Balmer series, for example, is created by setting n1 equal to 2 and letting n2 run from 3 to infinity is all well and good, but it won't help someone understand what these numbers
471:
Very nice figure (maybe display a larger thumbnail) but: It doesn't seem to be on a log scale (factors of 1,2,3,4,5 are evenly spaced), and I think the units are actually m, not nm (10^-6 nm would be beyond x-rays and gamma rays). But then I may be confused about this, too.
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file, I intend to use a script to generate the image as an SVG, where the script can calculate the correct positions for the lines. Seeing how the
Humphreys series mostly falls outside the range of the current diagram
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It's a bit uglier, but pretty much has all the features I wanted. It is also far more widely used. So, I'm not going to bother making my own, but will replace the link to the wonky PNG file with a link to this one.
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scale and not show the
Humphreys series. I would also include a marker for the series convergence (probably a dotted line), and some brackets below the scale indicating the ranges of UV, visible and IR.
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My master's degrees are in electrical engineering and mathematics, and I don't remember enough from my long Modern
Physics course to correct the expressions here.
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The formulas in the "For hydrogen" and "For any hydrogen-like element" are not present in the publications cited in this article.
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8.0, at 17:07, 20 July 2013. It might be feasable to use
Wolfram again to create and export an improved diagram in SVG format.
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400:"This shows that hydrogen is a special case with m = 0 and C0=4no. Co is a universal constant common to all elements."
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I get the urge to replace this diagram with a better one. Since
Wikimedia recommends re-creating the image as an
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The
Humphreys series is a complete mess. It should be mostly beyond the right of the diagram. Note how the "Pf-
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This immediately gives division by zero in the first line when m = 0 from the second line is substituted in.
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Added
Rydberg's published formula, Added ref to Bohr's derivation of Rydberg formula and connected the two.
939:{\displaystyle \pm {\frac {n}{N_{0}}}={\frac {1}{(m_{1}+\mu _{1})^{2}}}-{\frac {1}{(m_{2}+\mu _{2})^{2}}}:}
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is at 1875 nm, putting it inside the
Bracket series (yellow in the diagram) as it should be. Similarly "Pf-
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I added a prime-sign, it is m-prime in the formula before that is zero. Thank you for pointing this out. /
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Further, further note: There already exists an SVG file with spectral lines on a logarithmic scale:
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articles on environment-related topics, as well as to ensure that environment articles are properly
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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The scale (showing the wavelength) is linear, not logarithmic as the description states.
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A visual comparison of the hydrogen spectral series for n1 = 1 to n1 = 6 on a log scale
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Note in particular the formula is written in terms of wave number not wavelength.
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at 4654 nm (Note that the small scale divisions mark out 200 nm intervals.)
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Further note: The metadata of the diagram shows it was created using
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10" bits should be removed, leaving the values simply as micrometers.
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I've now added something more about that. Is that clearer?
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Formulas given are not the ones Rydberg or Bohr published.
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The numerical values are apparently in meters, with e.g.
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The formula may be fine, but is unreferenced material.
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