5

Rydberg states form an infinite series of electronic states that asymptotically approach the ionization potential of the atom or molecule, usually in good agreement with the simple Rydberg formula.

Image source

Experimentally, it seems that it's relatively workable to produce Rydberg states with principal quantum number $n$ up in the several hundreds. How high does this ladder go? That is, what is the highest $n$ that has been produced and detected in an experiment?

Similarly, what's the record in terms of circular Rydberg states, i.e. for Rydberg states with saturated angular momentum $\ell=n-1$?

Emilio Pisanty
  • 132,859
  • 33
  • 351
  • 666
  • Somewhat dated reference for n=32 is at https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.80.5508, with a focus on doing more than just making the state. The folks I know are more interested in the properties of the Rydberg states and what they can do with them rather than making the highest one possible... – Jon Custer Jun 14 '17 at 20:01
  • @Jon sure and that's as it should be - there's little scientific value in pushing up the n for its own sake, and much more to be said in studying their properties and using them as tools for other stuff - but it's still nicgood to know how far up the ladder people go in that pursuit. – Emilio Pisanty Jun 14 '17 at 20:18
  • That said, I'm pretty sure I've seen papers with states in the few hundreds, but I can't find them at the moment. – Emilio Pisanty Jun 14 '17 at 20:19

1 Answers1

5

Here is a paper from 2009 in which they go up to $n=700$:

That's the highest I've ever come across. Targeting single Rydberg states spectroscopically becomes extremely difficult above the $n=100$-$200$ range because the spacing between levels becomes too small, scaling with $n^{-3}$ (not to mention that the levels themselves become extremely sensitive to external fields, scaling with $n^7$).

The highest state to which people can coherently excite is much lower. It is routinely done up to about $n=100$, sometimes a bit higher. In our lab we use $n=70$.

Emilio Pisanty
  • 132,859
  • 33
  • 351
  • 666
Harry Levine
  • 1,454