I did a frequency calculation for acetaldehyde, and i want to know how to determine that the molecule is in global minima. I frequency calculated output file is attached.
If you are really looking for the global minimum, you cannot tell from frequencies alone; having all positive normal mode frequencies (excluding the 5-6 translational + rotational modes, which should be small but often have residual non-zero values) only tells you that you have found a local minimum (a minimum with respect to all small displacements of any atoms from their current positions). There is no algorithmically automatic way to be certain you have a global minimum, although for sufficiently simple molecules if you step through all possible bond lengths, angles, and dihedrals or, more reasonably, use a search method like Osawa's, you can be essentially certain. For more flexible molecules, it is often useful to either 1. use chemical intuition and check what you think are the likely conformers or 2. use a Monte Carlo or MD conformer generator and then optimize each of those leads. Either way, you must then make the assumption that the lowest-energy conformer you optimized is the global minimum.
Yes that's correct, but the i want to know using frequency calculation how we are going to say a molecule is in global minima.
As a example in the 1st attached figure it's frequency calculation for CH3-CH3 and i just drew it in Avogadro and did a frequency calculation using GAMESS.
2nd figure, it's a frequency calculation for optimized CH3-CH3 using DFT
Observing these values how can we say which obtained the minima ?
If you are really looking for the global minimum, you cannot tell from frequencies alone; having all positive normal mode frequencies (excluding the 5-6 translational + rotational modes, which should be small but often have residual non-zero values) only tells you that you have found a local minimum (a minimum with respect to all small displacements of any atoms from their current positions). There is no algorithmically automatic way to be certain you have a global minimum, although for sufficiently simple molecules if you step through all possible bond lengths, angles, and dihedrals or, more reasonably, use a search method like Osawa's, you can be essentially certain. For more flexible molecules, it is often useful to either 1. use chemical intuition and check what you think are the likely conformers or 2. use a Monte Carlo or MD conformer generator and then optimize each of those leads. Either way, you must then make the assumption that the lowest-energy conformer you optimized is the global minimum.