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  • $\begingroup$ Thank you Geoff, what you have discussed is the concept of normal modes. I am more specifically looking for the mathematical concept of normal coordinates (q) as used in vibrational spectroscopy. $\endgroup$
    – ACR
    Commented Sep 4, 2019 at 17:20
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    $\begingroup$ @M.Farooq - but the 'normal coordinates' (q) are simply the displacements along the normal modes, e.g. en.wikipedia.org/wiki/Molecular_vibration#Normal_coordinates $\endgroup$ Commented Sep 5, 2019 at 1:59
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    $\begingroup$ @M.Farooq - no worries - I could see that you didn't make the connection, so I clarified. I rarely teach the details of normal coordinate analysis because most people now just leave it to the computer. "Simply" was meant more as a mathematical term than a value judgement. :-) $\endgroup$ Commented Sep 5, 2019 at 2:36