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    $\begingroup$ Just a tiny detail: the eigenvalues of the Hessian are indeed positive or negative depending on the local curvature, but the vibrational frequencies, which are the square root of the eigenvalues, are positive or imaginary. $\endgroup$ Commented Jun 7, 2022 at 15:00
  • $\begingroup$ Indeed ! Of course ProfM will answer a Vibrations question ! $\endgroup$ Commented Jun 7, 2022 at 15:11
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    $\begingroup$ Thanks for the answer! $\endgroup$ Commented Jun 8, 2022 at 3:23