Coherent dynamical behavior is observed in the heavy Rydberg system H 1 H 2 . Because of the large mass, time scales of the wave-packet evolution are orders of magnitude slower than for a Rydberg electron. In the presence of a weak electric field, wave packets made up of about 1000 Stark states are excited by near-Fourier transform limited nanosecond laser pulses. Pulsed-field dissociation reveals coherent time evolution on a microsecond time scale, observed as oscillations with frequencies explained by a linear Stark model applied to the H 1 H 2 system. DOI: 10.1103/PhysRevLett.88.013001 PACS numbers: 33.80.Rv, 33.55.Be, 03.65.Ge Studies of the quantum behavior of the infinite series of states associated with a 1͞r potential usually focus on the prototypical Rydberg atom [1], which consists of a heavy positively charged ionic particle and a light negatively charged particle, the Rydberg electron, attracting each other via the Coulomb potential ͑V c ϳ 1͞r͒. The quantized energy levels of such a system are represented by the Rydberg formula:where R is the Rydberg constant, n is the principal quantum number, and d is the quantum defect. The value of the Rydberg constant for an atomand hence the level density is nearly equal for all atoms, because m͞m e m A 1 ͑͞m A 1 1 m e ͒ ഠ 1 for all atoms; the same holds for electronic Rydberg states of molecules in which case the core is a molecular cation.This Letter deals with molecular Rydberg states of a different kind, which may be called "Rydberg states of nuclear motion," which are associated with the Coulomb potential between separated charges of heavy mass, referred to as ion-pair potentials. The large reduced mass m of such a system leads to a value of R ion-pair ͑m͞m e ͒R`orders of magnitude larger than the atomic Rydberg constant; in the case of an H 1 H 2 ion-pair system, m ͑1͞2͒M H results in an increase of the Rydberg constant by 3 orders of magnitude. Notice that in accordance with Eq. (1) binding energies and also level separations for a given quantum number become larger, while separations at a given energy become smaller, therewith opening a range for investigations on the behavior in the 1͞r potential and the transition from quantum to classical behavior.Coulomb potentials of ion-pair systems can also be viewed as a class of molecular potentials describing an ionic bond. A remarkable difference from other potentials is the infinite number of bound states of nuclear motion (rovibrational states) supported close to the dissociation threshold; potentials associated with a covalent bond typically show an asymptotic shape of V n ϳ 1͞r n with n 3 6 and consequently support a finite number of bound states. A connection between the standard treatment of molecules on the one hand, using potentials of electronic states and quantized nuclear motion described by vibrational and rotational quantum numbers y and J, and an ion-pair Rydberg model on the other was established by identifying the effective principal quantum number n with y 1 J 1 1 while the angular moment...