`  == Spherical or cartesian coords for wave functions it doesn't matter to the graph or most places (just makes the radially symmetric equation easier to solve) ==  In atomic orbital you've changed nice simple  |ψ|s into  |ψ(r,θ,φ)|s and I don't see that this helps at all, except to make it uglier and more complicated. After all, these are the very same graphs as if you used (say) |ψ(x,y,z)|s or any other spacial coordinate choice.  Why don't you just change them back to the simpler form? Are you trying to show a spacial dependence? Just say they're being graphed  in terms of spacial dependence and then you don't confuse the reader (by implication) into thinking that perhaps choice of coordinate systems makes some kind of difference.  `