4 is the easy spot, but placing your capital near a mountain is more important.
Mountain in cap is important, but not that important like a lot of people thinks. Observatory gives +50% science, so your capital:
-with NC, university and observatory. +133%=233%
-with NC, university. +83%=183%
If we suppose that by this time your other cities output is ~ your cap, we have:
333% vs 283%.
After getting +17% from rationalism and +50% from labs difference becomes even smaller.
I can say that mountain in your 2nd, 3rd, ... cities is more important [I do not say that you gain more, I say that when you want to settle additional cities you should really want them to be next to mountain, when for capital a lot of nice tiles, like junles in 3rd radius, are more important], cause those cities do not have +50% from NC.