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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 represent.
An obvious mathematical mistake in this article
"Rydberg rewrote this in terms of wavenumbers as n = no − 4no/m ².
"This shows that hydrogen is a special case with m = 0 and C0=4no. Co is a universal constant common to all elements."
This immediately gives division by zero in the first line when m = 0 from the second line is substituted in.
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.220.127.116.11 (talk) 03:21, 18 September 2008 (UTC)