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

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• Monitoring of the error propagation from the PES to the collisional rates, and subsequent monitoring of<br />

the collisional approximations, with first results for inelastic rotational rates involving CO, HC3N, (also<br />

H2O and NH3 in collab. with M.L. Dubernet and E. Roueff), and for H2O quenching.Corresponding tools<br />

will be inclu<strong>de</strong>d in the BASECOL database.<br />

Furthermore, the <strong>de</strong>pen<strong>de</strong>nce of astronomical mo<strong>de</strong>ling to the accuracy of collisional rates is also a very<br />

challenging issue which our group has started to address.<br />

3.3.2 Potential energy surfaces<br />

Within the Born-Oppenheimer approximation, inelastic cross sections and rate constants are obtained by solving<br />

for the motion of the nuclei on an “electronic” PES, which is in<strong>de</strong>pen<strong>de</strong>nt of the masses of the nuclei. Recent<br />

studies have <strong>de</strong>monstrated that computational techniques employing advanced treatments for both electronic<br />

and nuclear motion problems have the ability to rival the accuracy of experimental data. These studies all<br />

employed convergent hierarchies of basis sets and correlation methods to solve the electronic structure problem.<br />

The CCSD(T)-R12 method<br />

In contrast to conventional calculations, correlated methods that inclu<strong>de</strong> explicitly the inter-electronic coordinates<br />

into the wave function can <strong>de</strong>scribe properly the electron-electron correlation cusp and offer a direct way<br />

of reaching the basis set limit values within a single calculation, i.e. without extrapolation. Among various<br />

explicitly correlated methods, the R12 coupled cluster theory with singles, doubles and perturbative triples<br />

(CCSD(T)-R12) (Noga & Kutzelnigg 1994 J. Chem. Phys., 101, 7738) is computationally practical and proved<br />

highly accurate (Ramajäki et al. 2004 Mol. Phys, 102 2297), in particular using a<strong>de</strong>quate R12-suited basis<br />

sets (Kedˇzuch et al. 2005 Mol. Phys., 103, 999). Generalizing the i<strong>de</strong>a of Kutzelnigg (Kutzelnigg 1985 Theor.<br />

Chim. Acta, 68, 445), in CCSD(T)-R12 one takes care of the correlation cusp by inclusion of linear terms in<br />

the inter-electronic coordinates into the exponential wave function expansion.<br />

Our corresponding production co<strong>de</strong> DIRCCR12 1 implements an original trick to accelerate the calculations<br />

of CCSD triples and is efficiently parallelized up to 6-8 processors. It provi<strong>de</strong>s auto-adaptative algorithms to<br />

handle load imbalance, heterogeneous processors and distributed scratch disks on clusters. It achieves a typical<br />

parallel performance over 500 Mflops per processor on the IBM Power4 Regatta supercomputer at IDRIS with<br />

minimal I/O bottlenecks. This co<strong>de</strong> is routinely used either for conventional CCSD(T) calculations or for<br />

explicitely correlated CCSD(T)-R12 using our specifically <strong>de</strong>veloped R12-suited basis sets for H to Ne.<br />

H2O – H2<br />

We have constructed a full nine-dimensional interaction potential for H2O – H2 calibrated using high-accuracy,<br />

explicitly correlated wave functions. All <strong>de</strong>grees of freedom are inclu<strong>de</strong>d using a systematic procedure transferable<br />

to other small molecules astrophysically or atmospherically relevant. CCSD(T)-R12 5D calibration<br />

calculations were run on the IDRIS and CINES national computers, while the Monte Carlo sampling of the<br />

9D hypersurface was the first dimensioning application of the <strong>Grenoble</strong> computer grid (CiGri), <strong>de</strong>veloped with<br />

support from the ACI Grid. The resulting 9D hypersurface contains in particular all relevant information to<br />

<strong>de</strong>scribe the interaction of H2 with all H2O isotopomers in zero point or excited bending states.<br />

As a first application, we estimated rate constants for the vibrational relaxation of the ν2 bending mo<strong>de</strong> of<br />

H2 O obtained from quasiclassical trajectory calculations in the temperature range of 500 – 4000 K. Our hightemperature<br />

(T > 1500 K) results are found compatible with the single experimental value at 295 K. Our<br />

rates are also significantly larger than those currently used in the astrophysical literature and will lead to a<br />

thorough reinterpretation of vibrationally excited water emission spectra from space (see Faure et al JCP 2005<br />

122, 221102).<br />

In a second paper (Faure et al, JCP 2005 123 104309) we emphasized the role of rotation in the vibrational<br />

relaxation of water. As a further conclusion of this quasiclassical analysis, we also predict that the popular<br />

1 see the repository http://www-laog.obs.ujf-grenoble.fr/∼valiron/ccr12/in<strong>de</strong>x.html for <strong>de</strong>tails on the co<strong>de</strong> and for related bib-<br />

liography<br />

57

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