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Hi Orlando,
I am not a vibration expert, but I think the displacement spectrum units are (in/sec^2)^2/Hz, not in^2/Hz. If the UI is showing in^2/Hz, then you will need to do a test to confirm if it is really (in/sec^2)^2.
If the results are (in/sec^2)^2/Hz, then I would think that you can multiply or divide by the value of g^2 to convert from one to the other.