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i use chemdraw. it is expensive but as a grad student i get it for free. you can also do some cool NMR stuff on it.
For
1H NMR prediction I like nmrdb.org
http://www.nmrdb.org/predictorI'm far from current on ChemDraw but from what I gathered from my forays into it, the coupling predictor is rather simplistic*. The
13C predictor is pretty good though, but if you're desperate you can work those out with pencil an paper. I do like the CD MS peak predictor. It helps when I forget what happens when you've got more than one halogen in a molecule and don't feel like looking it up.
*along the lines of "hey, there's three neighboring protons so it must be a quartet, no matter that they're nonidentical. nmrdb.org will even go so far as to predict splitting patterns and coupling constants. However, as with all computed results, nothing is written in stone until you determine them experimentally.