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Search: id:A145646
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| A145646 |
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Wavelength (in Angstrom) of the series limit of the Hydrogen spectrum for main quantum number n. |
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+0
3
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| 911, 3645, 8201, 14580, 22782, 32806, 44652, 58321, 73813, 91127, 110263, 131222, 154004
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The series for n=1, 2 etc. are named after Lyman, Balmer, etc.
The sequence is ill-defined since it depends on the incompletely known natural constant A081821. Although the sequence is essentially proportional to n^2, rounding effects prevent high-term predictability of the differences. Taking relativistic corrections into account will worsen the situation. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 17 2008
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REFERENCES
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Robert Duane Cowan, The Theory of Atomic Structure and Spectra, Univ. California Press, 1981; in 3-7 Relativistic corrections.
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LINKS
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Wikipedia, Rydberg Formula.
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FORMULA
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a(n+1)-a(n) = A145647(n), first differences.
a(n) = round( n^2*10^10/A081821 ) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 17 2008
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MAPLE
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R := 10973731.568527 : for n from 1 to 13 do printf("%d, ", round(n^2*1.0e10/R) ); od; - R. J. Mathar, Oct 17 2008
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CROSSREFS
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Sequence in context: A015278 A068261 A119520 this_sequence A093634 A074887 A029897
Adjacent sequences: A145643 A145644 A145645 this_sequence A145647 A145648 A145649
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KEYWORD
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nonn,less
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Oct 15 2008
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 17 2008
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