Semiclassical tunneling splittings for arbitrary vibrational states in multidimensional double wells

An analysis of the degree of convergence of theoretical pictures of the dynamics of the autoionization event He(23S)-D2(v" = 0) -> [He...D2+(v')] + e is presented for a number of batches of Monte Carlo calculations differing in the number of the trajectories run. The treatment of the dynamics consists in 2D classical trajectory calculations based on static characteristics which include a quantum mechanical treatment of the perturbed D2(v" = 0) and D2+(v') vibrational motion. The vibrational populations are dynamical averages over the local widths of the He(23S)-D2(v" = 0) state with respect to autoionization to D2+(...He) in its v'th vibrational level and the Penning electron energies are related to the local differences between the energies of the corresponding perturbed D2(v" = 0)(...He*) and D2+(v')(...He) vibrational states. Special attention is paid to the connection between the requirements on the degree of convergence of the classical trajectory picture of the event and the purpose of the calculations. Information is obtained regarding a scale of the trajectory calculations required for physically sensible applications of the model to an interpretation of different type of experiments on the system: total ionization cross section measurements, Penning ionization electron spectra, subsequent 3D classical trajectory calculations of branching ratios of the products of the postionization collision process, and interpretation of electron ion coincidence measurements of the product branching ratios for individual vibrational levels of the nascent Penning ion.

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Energies and Electric Dipole Moments of the Bound Vibrational States of HN2+ and DN2+

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc20080873 ◽

2008 ◽

Vol 73 (6-7) ◽

pp. 873-897 ◽

Cited By ~ 8

Author(s):

Vladimír Špirko ◽

Ota Bludský ◽

Wolfgang P. Kraemer

Keyword(s):

Dipole Moment ◽

Nearest Neighbor ◽

Energy Surface ◽

Dipole Moments ◽

Three Dimensional ◽

Vibrational States ◽

Spacing Distribution ◽

Triatomic Molecules ◽

Vibrational Levels ◽

Different Levels

The adiabatic three-dimensional potential energy surface and the corresponding dipole moment surface describing the ground electronic state of HN2+ (Χ1Σ+) are calculated at different levels of ab initio theory. The calculations cover the entire bound part of the potential up to its lowest dissociation channel including the isomerization barrier. Energies of all bound vibrational and low-lying ro-vibrational levels are determined in a fully variational procedure using the Suttcliffe-Tennyson Hamiltonian for triatomic molecules. They are in close agreement with the available experimental numbers. From the dipole moment function effective dipoles and transition moments are obtained for all the calculated vibrational and ro-vibrational states. Statistical tools such as the density of states or the nearest-neighbor level spacing distribution (NNSD) are applied to describe and analyse general patterns and characteristics of the energy and dipole results calculated for the massively large number of states of the strongly bound HN2+ ion and its deuterated isotopomer.

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The microwave spectrum of BrF5 in excited vibrational states

Journal of Molecular Spectroscopy ◽

10.1016/0022-2852(78)90128-5 ◽

1978 ◽

Vol 72 (2) ◽

pp. 282-292 ◽

Cited By ~ 14

Author(s):

C. Gheorghiou ◽

P.N. Brier ◽

J.G. Baker ◽

S.R. Jones

Keyword(s):

Microwave Spectrum ◽

Vibrational States

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