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Calculation of Dipole Moments, Polarizabilities and Their Geometrical Derivatives

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Part of the book series: NATO ASI Series ((ASIC,volume 166))

Abstract

The ab initio calculation of molecular dipole moments, polarizabilities and their geometrical derivatives is discussed. General expressions valid for variational wave functions (SCF, MCSCF and CI) and perturbation-dependent basis sets are derived and their implementation is discussed. The use of direct methods to simplify the calculation of higher-order properties is described.

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References

  1. E. Bright Wilson, Jr., J. C. Decius and P. C. Cross, “Molecular Vibrations” (McGraw-Hill, New York, 1955).

    Google Scholar 

  2. J. Simons and P. Jørgensen, Int. J. Quantum Chem. 25, 1135, (1984).

    Article  CAS  Google Scholar 

  3. P. Jørgensen and J. Simons, “Second Quantization-Based Methods in Quantum Chemistry” (Academic, New York, 1981).

    Google Scholar 

  4. J. Linderberg and Y. Öhrn, “Propagators in Quantum Chemistry” (Academic, New York, 1973).

    Google Scholar 

  5. T. U. Helgaker and J. Almlöf, Int. J. Quantum Chem. 26 (1984) 275.

    Article  CAS  Google Scholar 

  6. P. Jørgensen and J. Simons, J. Chem. Phys. 79 (1983) 334.

    Article  Google Scholar 

  7. H. F. King, R. N. Camp and J. W. McIver, Jr., J. Chem. Phys. 80 (1984) 1171.

    Article  CAS  Google Scholar 

  8. J. Almlöf and P. R. Taylor, Int. J. Quantum Chem. 27 (1985) 743.

    Article  Google Scholar 

  9. J. Simons, P. Jørgensen and T. U. Helgaker, Chem. Phys. 86 (1984) 413.

    Article  CAS  Google Scholar 

  10. R. Moccia, Chem. Phys. Letters 5, (1970) 260.

    Article  CAS  Google Scholar 

  11. A. J. Sadlej, Chem. Phys. Letters 47 (1977) 50.

    Article  CAS  Google Scholar 

  12. B. Levy, Int. J. Quantum Chem. 4 (1970) 297.

    Article  CAS  Google Scholar 

  13. E. Dalgaard and P. Jørgensen, J. Chem. Phys. 61 (1978) 3833.

    Article  Google Scholar 

  14. J. Olsen and P. Jørgensen, J. Chem. Phys. 82 (1985) 3235.

    Article  CAS  Google Scholar 

  15. P. E. M. Siegbahn, J. Almlöf, A. Heiberg and B. O. Roos, J. Chem. Phys. 74 (1981) 2384.

    Article  CAS  Google Scholar 

  16. G. H. F. Diercksen, B. 0. Roos and A. J. Sadlej, Chem. Phys. 59 (1981) 29.

    Article  CAS  Google Scholar 

  17. N. C. Handy and H. F. Schaefer III, J. Chem. Phys. 81 (1984) 5031.

    Article  CAS  Google Scholar 

  18. J. A. Pople, R. Krishnan, H. B. Schlegel and J. S. Binkley, Int. J. Quantum Chem. Symp. 13 (1979) 225.

    CAS  Google Scholar 

  19. M. Hestenes, “Conjugate Direction Methods in Optimization” (Springer, Berlin, 1980).

    Google Scholar 

  20. B. Roos, Chem. Phys. Letters 15 (1972) 153.

    Article  Google Scholar 

  21. H. J. Aa. Jensen and P. Jørgensen, J. Chem. Phys. 80 (1984) 1204.

    Article  CAS  Google Scholar 

  22. H. J. Aa. Jensen and H. Agren, Chem. Phys. Letters 110 (1984) 140.

    Article  CAS  Google Scholar 

  23. T. U. Helgaker, H. J. Aa. Jensen and P. Jørgensen, to be published.

    Google Scholar 

  24. H. Werner and W. Meyer, Mol. Phys. 31 (1976) 355.

    Article  Google Scholar 

  25. T. U. Helgaker, H. J. Aa. Jensen and P. Jørgensen, to be published.

    Google Scholar 

  26. W. B. Person and G. Zerbi, Eds., “Vibrational Intensities in Infrared and Raman Spectroscopy” (Elsevier, Amsterdam, 1982).

    Google Scholar 

  27. R. D. Amos, Chem. Phys. Letters 108 (1984) 185.

    Article  CAS  Google Scholar 

  28. P. Jørgensen, J. Olsen and D. L. Yeager, J. Chem. Phys. 75 (1981) 5802.

    Article  Google Scholar 

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© 1986 D. Reidel Publishing Company

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Helgaker, T.U. (1986). Calculation of Dipole Moments, Polarizabilities and Their Geometrical Derivatives. In: Jørgensen, P., Simons, J. (eds) Geometrical Derivatives of Energy Surfaces and Molecular Properties. NATO ASI Series, vol 166. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4584-5_9

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  • DOI: https://doi.org/10.1007/978-94-009-4584-5_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8537-3

  • Online ISBN: 978-94-009-4584-5

  • eBook Packages: Springer Book Archive

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