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Showing papers by "Jonathan Tennyson published in 1998"


Journal ArticleDOI
TL;DR: In this article, the R-matrix method has been used with great success in recent years to model low energy scattering of electrons and positrons by molecules, and the codes, developed by a consortium of UK research groups as part of the Collaborative Computational Project 2 (CCP2), have now reached a high of robustness and stability.

160 citations


Journal ArticleDOI
TL;DR: The Jovian Ionospheric Model (JIM) as mentioned in this paper is a time-dependent, three-dimensional model for the thermosphere and ionosphere of Jupiter, which is based on the UCL Thermosphere Model of Fuller-Rowell and Rees.
Abstract: We present the Jovian Ionospheric Model (JIM), a time-dependent, three-dimensional model for the thermosphere and ionosphere of Jupiter. We describe the physical inputs for the hydrodynamic, thermodynamic and chemical components of the model, which is based on the UCL Thermosphere Model of Fuller-Rowell and Rees [1980]. We then present the results of an illustrative simulation in which an initially neutral homogeneous planet evolves for approximately 4 Jovian rotations, under the influence of solar illumination and auroral (electron) precipitation at high latitudes. The model shows that solar zenith angle, auroral activity, ion recombination chemistry and, to a lesser degree, magnetic field orientation, all play a role in forming the dayside and nightside global ionization patterns. We compare auroral and nonauroral/equatorial ionospheric compositions and find the signature of ion transport by fast winds. We also include a localized spot' of precipitation in our model and comment on the associated ionization signatures which develop in response to this To-like aurora. The simulation also develops strong outflows with velocities up to ∼600 m s -1 from the auroral regions, driven mainly by pressure gradients. These pressure gradients, in turn, arise from the differences in chemical composition between the auroral and nonauroral upper thermospheres, as evolution proceeds. This preliminary study indicates a strong potential for JIM in analysis of two-dimensional image data and simulation of time-dependent global events.

128 citations


Journal ArticleDOI
TL;DR: In this article, the authors present rotation-vibrational levels of water up to the dissociation limit using two recent, global potential energy surfaces using PDVR3D, which runs on computers with massively parallel processors.
Abstract: We present rotation–vibrational levels of water up to the dissociation limit using two recent, global potential energy surfaces. These calculations are performed using our recently developed discrete variable representation (DVR) based parallel code (PDVR3D), which runs on computers with massively parallel processors. Variational tests on the convergence of these results show convergence within 0.5 cm−1. Analysis of the highest wave functions for the vibrational energy levels are also shown. Tests on previous calculations performed using conventional computers suggest that convergence for high-lying rotationally excited states is not as good as claimed.

74 citations


Journal ArticleDOI
TL;DR: In this article, the relativistic correction to the electronic energy of the water molecule is calculated as a function of geometry using CCSD T wavefunctions and first-order perturbation theory applied to the one-electron mass-velocity and Darwin terms.

54 citations


Journal ArticleDOI
TL;DR: These assignments significantly extend the measured data for the 4nu and 4nu + delta polyads and provide the first information on the (240), (033), (160), (170), and (071) bands.

51 citations


Journal ArticleDOI
TL;DR: In this article, the R-matrix method was used to fit the resonances of low-energy electron-collision collisions using the more appropriate of the eigenphase sum and time delay methods.
Abstract: Resonances in low-energy electron- collisions are studied using the R-matrix method for eight total symmetries: , over a range of bond lengths from 0.8 to . A rich and complicated structure of resonances is apparent. Where possible, the resonances are fitted using the more appropriate of the eigenphase sum and time-delay methods. Positions and widths are tabulated. Potential curves of individual resonant states are derived and used for nuclear motion calculations. Excellent agreement with experiment has allowed the explanation and assignment of all the resonances below 13 eV where previously there had been confusion and contradiction among different experiments and theory.

40 citations


Journal ArticleDOI
TL;DR: In this paper, the authors take K-matrices from a scattering calculation, either read from a file or calculated on a dynamically adjusted grid, and calculate the time-delay matrix.

36 citations


Journal ArticleDOI
TL;DR: In this article, the partition function, Q, of water is calculated by explicit summation of ∼200,000 vibration-rotation levels computed using variational nuclear motion calculations.
Abstract: The partition function, Q, of water is calculated by explicit summation of ∼200 000 vibration–rotation levels computed using variational nuclear motion calculations. Temperatures up to 6000 K are studied. Estimates are obtained for the heat capacity (Cp), the Gibbs enthalpy factor (gef), the Helmholtz function (hcf), and the entropy (S) of gas-phase water as a function of temperature. To get converged results at higher temperatures it is necessary to augment the accurate list of energy levels. This is done using estimates for all the vibrational band origins to dissociation and rotational levels calculated using Pade approximants. The widely used method of computing the internal partition function as the product of vibrational and rotational partition functions is tested and found to overestimate the partition function by up to 10%. The present estimates of Q(T), Cp(T), gef(T), hcf(T), and S(T) are probably the most accurate available for water at temperatures, T, above 2000 K. Errors, as a function of te...

30 citations


Journal ArticleDOI
TL;DR: In this paper, the Coulomb-Born completion of the cross-sections for high I values was found to be up to half those for j = 0 --> 1, raising the prospect of observing the HeH+ j = 2 --> 1 emission line at 74.8 mu m.
Abstract: Molecular R-matrix calculations are performed at a range of energies to give rotational and vibrational excitation and de-excitation cross-sections and, hence, rates for electron collisions with HeH+ up to electron temperatures of 20 000 K. Critical electron densities are also given. The rotational calculations include the Coulomb-Born completion of the cross-sections for high I values. Rates for the transition j = 0 --> 2, which have previously been assumed to be negligible, are found to be up to half those for j = 0 --> 1, raising the prospect of observing the HeH+ j = 2 --> 1 emission line at 74.8 mu m.

25 citations


Journal ArticleDOI
TL;DR: ROTIONS as discussed by the authors is a program for the calculation of cross sections for rotational excitation of linear molecular ions by electron impact, which can be obtained from input T -matrices and from the Coulomb-Born approximation for dipole (Δ j = 1) and quadrupole transitions.

22 citations


Journal ArticleDOI
TL;DR: In this article, rotational excitation cross sections for electron collisions with diatomic molecular ions are examined for impact energies up to 5 eV. The HeH and NO ions are used as test cases and calculations are performed at various levels of approximation.
Abstract: Methods of computing rotational excitation cross sections for electron collisions with diatomic molecular ions are examined for impact energies up to 5 eV. The HeH and NO ions are used as test cases and calculations are performed at various levels of approximation. Previous studies have all used the Coulomb-Born approximation assuming only dipolar potentials. This approximation is found to be unreliable in a number of aspects: short-range and threshold effects are important, and the widely made assumption that only processes need to be considered is particularly questionable. Conversely, full inclusion of vibrational motion is found to be less important.

Journal ArticleDOI
TL;DR: In this article, the authors used the vibrational and rotational motion of a water molecule to identify novel spectral features and a deeper understanding of how excited molecules such as superheated water behave.
Abstract: Analysis of sunlight, which started the discipline of spectroscopy, has been the key to a number of major scienti® c discoveries. Sunspots, which are much cooler than most of the Sun’s surface, have particularly rich and complicated spectra which has long been thought to be due to very hot water. The challenge of analysing this spectrum has stimulated the development of new theoretical procedures based on full quantum mechanical treatments of the vibrational and rotational motion of the water molecule. The result has been the identi® cation of novel spectral features and a deeper understanding of how excited molecules such as superheated water behave. This work has applications ranging from the models of cool star atmospheres and rocket exhausts to the possible automated detection of forest ® res. Perhaps the most interesting result is the insight given to understanding how our own atmosphere absorbs sunlight, and the possible consequences that this may have for modelling the greenhouse eŒect. 1. Spectroscopy and the Sun In 1814 Fraunhofer allowed a beam of sunlight from a narrow opening in his shutters to pass through a prism and to be projected onto a white wall. What Fraunhofer saw was not only the colours of the rainbow, which had been

Journal ArticleDOI
TL;DR: Two parallel implementations of the DVR3D program suite calculate the rotation-vibration energy levels of triatomic molecules using either Jacobi or Radau coordinates based on a Discrete Variable Representation (DVR).

Journal ArticleDOI
TL;DR: In this paper, an ab initio study of the ns, np, nd, nf and ng Rydberg series of NO above a number of ionisation thresholds is presented.


Journal ArticleDOI
TL;DR: In this article, R-matrix calculations are performed on symmetry resonance states of the for internuclear separations in the range 0.8 -. Position, widths and quantum defects are given for resonances converging on the and states of.
Abstract: R-matrix calculations are performed on symmetry resonance states of the for internuclear separations in the range 0.8 - . Position, widths and quantum defects are given for resonances converging on the and states of . Calculations focus on which is produced in decay of and is thus important for neutrino mass measurements. The resonances may also be important in collisions.