In the literature, two H2 vibrational frequencies can be found. One is 4401 cm-1 (so called vibrational constant; [1]), and another is 4161 cm-1 (the transition frequency reported in experimental articles, for example here: [2]). Can someone explain the origin of the difference between them?
Refs.
1. https://webbook.nist.gov/cgi/cbook.cgi?ID=C1333740&Mask=1000#Diatomic
2. https://pubs.rsc.org/en/content/articlepdf/1982/dc/dc9827300089
Possibly totally unrelated, but your question rings a bell per my background in mechanics.
There are two frequency branches in 'Timoshenko beams' in mechanics as well. Of course, we are talking on two entirely different scales and those two phenomena may be unrelated, but perhaps a cursory review of the so called 'second frequency branch' of 'Timoshenko beams' may not hurt.
My apologies if I misdirected you. :-)
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