Hydrogen Rydberg states

Doppler-Free Two-Photon Spectroscopy of Hydrogen Rydberg States Remeasurement of Roo... 

M. Niering et al.. Measurement of the hydrogen 15-25 transition frequency by phase coherent comparison with a microwave cesium fountain clock. Phys. Rev. Lett. 84, 5496 (2000) F. Biraben, J.C. Garreau, L. Julien, Determination of the Rydbeig constant by Doppler-free two-photon spectroscopy of hydrogen Rydberg states. Europhys. Lett. 2,925 (1986)... 

The investigation into molecular hydrogen Rydberg states has gained... 

F. Biraben, J.C. Garreau, L. Julien Determination of the Rydberg constant by Doppler-free two-photon spectroscopy of hydrogen Rydberg states. Europhys. Lett. 2, 925 (1986)... 

The method used in these calculations is based on the theoretical developments of Sakimoto [42] and is also an extension of our previous work on the Stark spectrum of spin-orbit autoionized Rydberg states of argon [43] and of the vibrationally autoionized states of hydrogen [44, 45], Only the homoge-... 

The main result of these first detailed experimental studies of the AI mechanism is that, even at thermal velocity, the system R -H follows a potential curve F ( R) that diabatically crosses an infinite number of potential curves dissociating into R+H, H being hydrogen in a Rydberg state, and continues to be well defined in the ionization continuum. We might mention that results on AI are also interesting because AI is the reverse reaction to the important process of dissociative recombination of molecular ions. 

Fig. 19.9 Plot of scaled total decay rates n3r of Ba 6pmn( J = l + 1 autoionizing states in atomic units vs (. For ( = 0-4 the measured rates (O) shown are the average rates from many n values. The data for the rates for > 4 are for n = 12. The solid line is a simple theoretical calculation based on the dipole scattering of a hydrogenic Rydberg electron from the 6p core electron. Note that the core penetration of the lower states reduces the actual rate from the one calculated using the dipole scattering model. The constant total decay rate for > 8 is the spontaneous decay rate of the Ba+ 6p state (from ref. 39).

The energy levels of atomic Rydberg states are described by a hydrogen-type formula ... 

Wintgen, D., Holle, A, Wiebusch, G., Main, J., Friedrich, H., and Welge, K.-H. (1986). Precision measurements and exact quantum mechanical calculations for diamagnetic Rydberg states in hydrogen, J. Phys. B 19, L557-L561. 

In writing this equation, we have made use of Van Vleck s pure precession hypothesis [12], in which the molecular orbital /.) is approximated by an atomic orbital with well-defined values for the quantum numbers n, l and /.. Such an orbital implies a spherically symmetric potential and its use is most appropriate when the electronic distribution is nearly spherical. Examples of this situation occur quite often in the description of Rydberg states. It is also appropriate for hydrides like OH where the molecule is essentially an oxygen atom with a small pimple, the hydrogen atom, on its side. Accepting the pure precession hypothesis allows the matrix elements of the orbital operators to be evaluated since... 

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