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A Highly Efficient Ab Initio Tight-Binding-Like Approximate Density-Functional Quantum Mechanical Method

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Applied Parallel Computing. State of the Art in Scientific Computing (PARA 2006)

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Abstract

A highly efficient ab initio tight-binding-like approximate density-functional quantum mechanical method has recently been developed by us. In this method, the integrals related to the exchange-correlation part are obtained by higher order many-center expansions and all the integrals can be obtained by the interpolation of the look-up tables. The speed of the calculation is also enhanced by using a better way to choose the integrals in the look-up tables. It is shown that the calculated molecular equilibrium geometries and the reaction energies for hydrogenation reactions are very close to those from the usual density functional theory calculations.

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References

  1. Hohenberg, P., Kohn, W.: Inhomogeneous electron gas. Phys. Rev. 136, 864–871 (1964)

    Article  MathSciNet  Google Scholar 

  2. Kohn, W., Sham, L.J.: Self-consistent equations including exchange and correlation effects. Phys. Rev. 140, 1133–1138 (1965)

    Article  MathSciNet  Google Scholar 

  3. Parr, R.G., Yang, W.: Density-functional theory of atoms and molecules. Oxford University Press, Oxford (1989)

    Google Scholar 

  4. Sankey, O.F., Niklewski, D.J.: Ab initio multicenter tight-binding model for molecular dynamics simulations and other applications in covalent systems. Phys. Rev. B40, 3979–3995 (1989)

    Google Scholar 

  5. Horsfield, A.P.: Efficient ab initio tight binding. Phys. Rev. B 56, 6594–6602 (1997)

    Article  Google Scholar 

  6. Lewis, J.P., Glaesemann, K.R., Voth, G.A., Fritsch, J., Demkov, A.A., Ortega, J., Sankey, O.F.: Further developments in the local-orbital density-functional-theory tight-binding method. Phys. Rev. B 64, 195103.1–195103.10 (2001)

    Google Scholar 

  7. Harris, J.: Simplified method for calculating the energy of weakly interacting fragments. Phys. Rev. B 31, 1770–1779 (1985)

    Article  Google Scholar 

  8. Foulkes, W.M.C., Haydock, R.: Tight-binding models and density-functional theory. Phys. Rev. B 39, 12520–12536 (1989)

    Article  Google Scholar 

  9. Goedecker, S., Teter, M., Hutter, J.: Separable dual-space Gaussian pseudopotentials. Phys. Rev. B 54, 1703–1710 (1996)

    Article  Google Scholar 

  10. Demkov, A.A., Ortega, J., Sankey, O.F., Grumbach, M.P.: Electronic structure approach for complex silicas. Phys. Rev. B 52, 1618–1630 (1995)

    Article  Google Scholar 

  11. Becke, A.D.: Density-functional exchange-energy approximation with correct asymptotic-behavior. Phys. Rev. A 38, 3098–3100 (1988)

    Article  Google Scholar 

  12. Lee, C., Yang, W., Parr, R.G.: Development of the Colle-Salvetti correlation energy formula into a functional of the electron density. Phys. Rev. B 37, 785 (1988)

    Article  Google Scholar 

  13. Stevens, W.J., Basch, H., Krauss, M.: Compact effective potentials and efficient shared-exponent basis sets for the first- and second row atoms. J. Chem. Phys. 81, 6026–6033 (1984)

    Article  Google Scholar 

  14. Frisch, M.J., Trucks, G.W., Schlegel, H.B., Scuseria, G.E., Robb, M.A., Cheeseman, J.R., Zakrzewski, V.G., Montgomery Jr., J.A., Stratmann, R.E., Burant, J.C., Dapprich, S., Millam, J.M., Daniels, A.D., Kudin, K.N., Strain, M.C., Farkas, O., Tomasi, J., Barone, V., Cossi, M., Cammi, R., Mennucci, B., Pomelli, C., Adamo, C., Clifford, S., Ochterski, J., Petersson, G.A., Ayala, P.Y., Cui, Q., Morokuma, K., Malick, D.K., Rabuck, A.D., Raghavachari, K., Foresman, J.B., Cioslowski, J., Ortiz, J.V., Baboul, A.G., Stefanov, B.B., Liu, G., Liashenko, A., Piskorz, P., Komaromi, I., Gomperts, R., Martin, R.L., Fox, D.J., Keith, T., Al-Laham, M.A., Peng, C.Y., Nanayakkara, A., Challacombe, M., Gill, P.M.W., Johnson, B., Chen, W., Wong, M.W., Andres, J.L., Gonzalez, C., Head-Gordon, M., Replogle, E.S., Pople, J.A.: Gaussian98. Technical Report Rev. A9, Gaussian Inc., Pittsburgh PA (1998)

    Google Scholar 

  15. Lide, D.R. (ed.): Handbook of Chemistry and Physics, 85th edn. CRC, Boca Raton (2004)

    Google Scholar 

  16. Hehre, W.J., Radom, L., Schleyer, P.V.R., Pople, J.A.: Ab initio molecular orbital theory. John Wiley and sons, New York (1986)

    Google Scholar 

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Bo Kågström Erik Elmroth Jack Dongarra Jerzy Waśniewski

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Tu, Y., Nilsson, L., Laaksonen, A. (2007). A Highly Efficient Ab Initio Tight-Binding-Like Approximate Density-Functional Quantum Mechanical Method. In: Kågström, B., Elmroth, E., Dongarra, J., Waśniewski, J. (eds) Applied Parallel Computing. State of the Art in Scientific Computing. PARA 2006. Lecture Notes in Computer Science, vol 4699. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75755-9_12

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  • DOI: https://doi.org/10.1007/978-3-540-75755-9_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75754-2

  • Online ISBN: 978-3-540-75755-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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