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An accurate three-dimensional potential energy surface for the He-Na2 complex

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Abstract

An accurate three-dimensional potential energy surface (PES) for the He-Na2 van der Waals complex was calculated at the coupled cluster singles-and-doubles with noniterative inclusion of connected triple (CCSD(T)) level of theory. A mixed basis set, aug-cc-pVQZ for the He atom and cc-pCVQZ for the sodium atom, and an additional (3s3p2d1f) set of midbond functions were used. The computed interaction energies in 819 configurations were fitted to a 96-parameter analytic potential model by least squares fitting. The PES has two shallow wells corresponding to the T-shaped structure and the linear configuration, which are located at 12.5a 0 and 14 a 0 with depths of 1.769 and 1.684 cm−1, respectively. The who potential energy surface exhibits weak anisotropy. Based on the fitted PES, state-to-state differential cross sections were calculated.

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References

  1. Dulieu O, Pillet P. Playing with a pair of ultracold atoms and lasers: Towards a novel ultracold photochemistry. Isr J Chem, 2004, 44: 253–262

    Article  CAS  Google Scholar 

  2. Heinzen D J, Wynar R, Drummond P D, Kheruntsyan K V. Superchemistry: Dynamics of coupled atomic and molecular Bose-Einstein condensates. Phys Rev Lett, 2000, 84: 5029–5033

    Article  CAS  Google Scholar 

  3. Olsen M K. Quantum superchemistry: Role of trapping profile and quantum statistics. Phys Rev A, 2004, 69: 013601–013610

    Article  Google Scholar 

  4. Doyle M J, Friedrich B. Molecules are cool. Nature, 1999, 401: 749–751

    Article  CAS  Google Scholar 

  5. Wynar R, Freeland S R, Han J D, Ryu C, Heinzen J D. Molecules in a Bose-Einstein condensate. Science, 2000, 287: 1016–1019

    Article  CAS  Google Scholar 

  6. Kokouline V, Dulieu O, Kosloff R, Masnow-Seews F. Mapped Fourier methods for long-range molecules: Application to perturbations in the Rb2 photoassociation spectrum. J Chem Phys, 1999, 110: 9865–9876

    Article  Google Scholar 

  7. Bonin K D, Kresin V V. Electric-Dipole Polarizabilities of Atoms, Molecules, and Clusters. Singapore: World Scientific, 1997

    Google Scholar 

  8. Kresin V V, Tikhonov G, Kasperovich V, Wong K, Brockhaus P. Long-range van der Waals forces between alkali clusters and atoms. J Chem Phys, 1998, 108: 6660–6666

    Article  CAS  Google Scholar 

  9. Bodo E, Gianturco F A. Rotational cooling of Li2(1Σg) molecules by ultracold collisions with a helium gas buffer. Theor Chem Acc, 2004, 112: 263–269

    Article  CAS  Google Scholar 

  10. Krauss M, Maldonado P, Wahl A C. Interaction energy curves of LiHe and NaHe. J Chem Phys, 1971, 54: 4944–4953

    Article  CAS  Google Scholar 

  11. Bergmann K, Engelhardt R, Hefter U, Hering P, Witt J. State-resolved differential cross sections for rotational transitions in Na2+Ne (He) collisions. Phys Rev Lett, 1978, 40: 1446–1450

    Article  CAS  Google Scholar 

  12. Schinke R. Theoretical investigation of rotational rainbow structures in X-Na2 collisions using CI potential surfaces. I. Rigid-rotor X = He scattering and comparison with state-to-state experiments. J Chem Phys, 1981, 74: 3916–3928

    Article  CAS  Google Scholar 

  13. Purvis I G D, Bartlett R J. A full coupled-cluster singles and doubles model: The inclusion of disconnected triples. J Chem Phys, 1982, 76: 1910–1918

    Article  CAS  Google Scholar 

  14. Pople J A, Head-Gordon M, Ragavachar K I. Quadratic configuration interaction. A general technique for determining electron correlation energies. J Chem Phys, 1987, 87: 5968–5975

    Article  CAS  Google Scholar 

  15. Raghavachari K, Anderson J B. Electron correlation effects in molecules. J Phys Chem A, 1996, 100: 12960–12973

    Article  CAS  Google Scholar 

  16. Matsunaga N, Zavitsas A A. The potential energy curve of the ground state of the sodium dimmer X1Σ+g Na2. J Chem Phys, 2004, 120: 5624–5630

    Article  CAS  Google Scholar 

  17. MOLPRO is a package of ab initio programs written by Werner H-J and Knowles P J with contributions from Amos R D, Berning A, Cooper D L et al.

  18. Kanfer S, Shapiro M. Inversion of the methyl iodide potential by the discrete position operator method. J Phys Chem, 1984, 88: 3964–3968

    Article  CAS  Google Scholar 

  19. Feng E Y, Zheng X F. Calculation of the vibrational energy-level for the diatomic molecules in the discrete position presentation. Chin J Atom and Mole Phys (in Chinese), 2002, 19: 341–348

    CAS  Google Scholar 

  20. Tao F M. On the use of bond functions in molecular calculations. J Chem Phys, 1993, 98: 2481–2487

    Article  CAS  Google Scholar 

  21. Boys S F, Bernardi F. The calculation of small molecular interactions by the differences of separate total energies. Some procedures with reduced errors. Mol Phys, 1970, 19: 553–566

    Article  CAS  Google Scholar 

  22. Kenneth C W, Power D, Cybulski M. An ab initio study of He-F, Ne-F, and Ar-F van der Waals complexes. J Chem Phys, 1999, 110: 860–872

    Article  Google Scholar 

  23. Tang K T, Toennies J P. An improved simple model for the van der Waals potential based on universal damping functions for the dispersion coefficients. J Chem Phys, 1984, 80: 3726–3741

    Article  CAS  Google Scholar 

  24. Feng E Y, Huang W Y, Cui Z F, Zhang W J. State-to-state cross-sections for rotationally inelastic collision of LiH with Ne. Chem Phys, 2004, 303: 309–316

    Article  CAS  Google Scholar 

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Correspondence to ErYin Feng.

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Supported by the Natural Science Foundation of Anhui Educational Committee (Grant No. 2006kj072A) and the Natural Science Foundation of Anhui Province (Grant No. 070416236)

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Wang, Y., Huang, W., Feng, E. et al. An accurate three-dimensional potential energy surface for the He-Na2 complex. Sci. China Ser. B-Chem. 51, 539–544 (2008). https://doi.org/10.1007/s11426-008-0019-2

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