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Untitled - Laboratoire d'Astrophysique de l'Observatoire de Grenoble

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quantum VCC-IOS approximation may fail to properly <strong>de</strong>scribe the H2 O quenching. This stresses the need<br />

to <strong>de</strong>velop more advanced approximation schemes to <strong>de</strong>scribe the ro-vibrational collisional processes involving<br />

molecules with large ∆J splittings such as water, ammonia, etc...<br />

HC3N – H2<br />

The “steric hindrance” problem solved, first quantum inelastic rates obtained.<br />

Two new PES have been calculated at a CCSD(T) level for the HC3N–He and HC3N–H2 systems by P. Valiron.<br />

The new HC3N–He agrees pretty well with the PES obtained by Akin-Ojo et al 2003. Pionnering CCSD(T)-R12<br />

calculations with 920 basis set orbitals and 10 occupied (with frozen core) permitted to assess the accuracy of<br />

this PES. Steric hindrance problems involving the HC3N rod limit the convergence of the angular expansion<br />

of the PES, as anticipated by Green & Chapman (1978 ApJS 37, 169). However for the low energy regime<br />

M. Wernli showned it is feasible to regularize the PES by smoothing out the repulsive walls and to achieve a<br />

perfectly converged angular expansion.<br />

Corresponding close-coupling calculations led to surprising results due to the rod-like features of the PES. Firstly<br />

quantum interferences strongly <strong>de</strong>favour odd ∆j transitions and favour even ∆j ones. This propensity rule is<br />

likely to favour the J=1 population for H2 <strong>de</strong>nsities in the 10 3 –10 4 cm −3 range. Secondly, <strong>de</strong>spite the very large<br />

HC3N dipole moment, the para-H2 and ortho-H2 rates are nearly i<strong>de</strong>ntical. While the even ∆j propensity rule<br />

could not be found in the quasiclassical calculations by Green & Chapman (1978 ApJS 37, 169), the new rates<br />

remain within the same or<strong>de</strong>r of magnitu<strong>de</strong> <strong>de</strong>spite the very cru<strong>de</strong> an electron gas mo<strong>de</strong>l PES. This is not too<br />

surprising as the rod-like features of the PES dominate the scattering.<br />

3.3.3 Energy transfer processes<br />

Energy exchange processes between molecules, atoms and particles are responsible for thermal balance and line<br />

formation in a great variety of astronomical environments. Molecular line emissions are generally produced in<br />

low-temperature (T < 1000 K) and low-<strong>de</strong>nsity (n < 10 10 cm 3 s −1 ) conditions far from thermodynamic equilibrium<br />

and through a complex competition between radiative and collisional processes. A <strong>de</strong>tailed knowledge of<br />

rate constants for all microscopic processes that drive the populations of the emitting levels is thus necessary<br />

to interpret the observed spectra. Despite some recent progress in laboratory measurements of state-to-state<br />

collision rates, astrophysical mo<strong>de</strong>ls still rely heavily on theoretical predictions owing to the vast network of<br />

relevant states which span a wi<strong>de</strong> range of excitation energies. During the past four years, our group have ma<strong>de</strong><br />

significant advances in the un<strong>de</strong>rstanding of molecule-molecule and electron-molecule collisions.<br />

Molecule-molecule collisions<br />

In standard molecular environments such as <strong>de</strong>nse interstellar clouds or star-forming regions (T < 300 K,<br />

n > 10 4 cm 3 s −1 ), hydrogen molecules H2 are the dominant exciting species. We have recently revisited the<br />

collisional excitation of three astronomically very important molecules: CO, H2O and HC3N in collisions with<br />

H2. As <strong>de</strong>scribed previously, the H2O−H2 and HC3N−H2 PES have been computed by our group using high<br />

accuracy ab initio methods. For CO-H2, we employed a very recent PES obtained by Jankowski and Szalewicz<br />

(2005). The accuracy of these three PES is similar and lies within a few cm −1 in the relevant regions of the<br />

PES. Such a precision is necessary at low temperatures (T < 50 K) to guarantee that inaccuracies in the PES<br />

represent only a small fraction of collision energies. Our main results for the above mentioned systems are<br />

summarized below:<br />

• Rotational excitation of CO by para- and ortho-H2<br />

Quantum close-coupling calculations were performed for rotational levels of CO up to 5 and temperatures<br />

in the range 5−70 K (Wernli et al 2005). Our results were compared with those obtained by Flower<br />

(2001) on a previous, less accurate, PES. The new rigid-rotor CO−H2 PES of Jankowski and Szalewicz<br />

(2005) was thus shown to strongly affect the resonance structure of the rotational cross sections at very<br />

low collision energies (E < 60 cm −1 ). As a result, the calculated rates at 10 K were found to differ by up<br />

to 50% with those obtained by Flower (2001). Conversely, at temperatures larger than about 70 K, the<br />

effect of the new PES was found to be only minor.<br />

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