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Finite-field many-body perturbation theory IV. Basis set optimization in MBPT calculations of molecular properties. Molecular quadrupole moments

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Abstract

The choice of truncated basis sets and their optimization for MBPT calculations of molecular properties are discussed. It is pointed out that computing the correlation corrections to some kth order property by using the MBPT approach requires the knowledge of accurate perturbed orbitals through the kth order. Hence, it is argued that the basis set functions can be optimized with respect to the perturbed energies calculated within the coupled Hartree-Fock method. The proposed procedure is illustrated by MBPT calculations of quadrupole moments of H2 and FH. Additionally, also some estimates of the quadrupole polarizability tensor components for these molecules are obtained.

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References

  1. Buckingham, A. D.: Adv. Chem. Phys. 12, 107 (1967); Swanstrøm, P., Hegelund, F.: In: Computational techniques in quantum chemistry and molecular physics, p. 299, G. H. F. Diercksen, B. T. Sutcliffe, A. Veillard, eds. Dordrecht: Reidel Publ. Co. 1975

    Google Scholar 

  2. Adamowicz, L., Sadlej, A. J.: Chem. Phys. Letters 53, 377 (1978); Sadlej, A. J.: J. Chem. Phys. 75, 320 (1981); Sadlej, A. J.: Acta Phys. Polon. A. 59, 669 (1981); Sadlej, A. J.: Int. J. Quantum Chem., in press

    Google Scholar 

  3. Bartlett, R. J., PurvisIII, G. D.: Phys. Rev. A. 20, 1313 (1979); Purvis III, G. D., Bartlett, R. J.: Phys. Rev. A. 23, 1594 (1981); Bartlett, R. J.: Ann. Rev. Phys. Chem. 32, 359 (1981)

    Google Scholar 

  4. Werner, H.-J., Meyer, W.: Mol. Phys. 31, 855 (1976); Werner, H.-J., Meyer, W.: Phys. Rev. A. 13, 13 (1976)

    Google Scholar 

  5. Zeiss, G. D., Scott, W. R., Suzuki, N., Chong, D. P., Langhoff, S. R.: Mol. Phys. 37, 1543 (1979); Amos, R. D.: Mol. Phys. 38, 33 (1979); Morrison, M. A., Hay, P. J.: J. Chem. Phys. 70, 4034 (1979); Martin, R. L., Davidson, E. R., Eggers, D. F., Jr.: Chem. Phys. 38, 341 (1979); Daborn, G. T., Ferguson, W. L, Handy, N. C.: Chem. Phys. 50, 255 (1980)

    Google Scholar 

  6. Karlström, G., Roos, B. O., Sadlej, A. J.: Chem. Phys. Letters 86, 374 (1982); Roos, B. O., Sadlej, A. J.: J. Chem. Phys. 76, 5444 (1982)

    Google Scholar 

  7. Nelin, C., Roos, B. O., Sadlej, A. J., Siegbahn, P. O.: J. Chem. Phys. 77, 3607 (1982)

    Google Scholar 

  8. March, N. H., Young, W. H., Sampanthar, S.: The many-body problem in quantum mechanics. Cambridge: Cambridge University Press 1967; Kelly, H. P.: Adv. Chem. Phys. 14, 129 (1969); Wilson, S.: Specialist Periodical Report: Theoretical Chem. 4, 1 (1981)

    Google Scholar 

  9. Stevens, R. M., Pitzer, R. M., Lipscomb, W. N.: J. Chem. Phys. 38, 550 (1963); Langhoff, P. W., Karplus, M., Hurst, R. P.: J. Chem. Phys. 44, 505 (1966); Diercksen, G., McWeeny, R.: J. Chem. Phys. 44, 3554 (1966); Dodds, J. L., McWeeny, R., Sadlej, A. J.: Mol. Phys. 34, 1779 (1977)

    Google Scholar 

  10. Caves, T. C., Karplus, R.: J. Chem. Phys. 50, 3649 (1969); Rossky, P. J., Karplus, M.: J. Chem. Phys. 72, 6085 (1980)

    Google Scholar 

  11. Bartlett, R. J., Shavitt, I.: Chem. Phys. Letters 50, 190 (1977); Bartlett, R. J., Shavitt, I.: Int. J. Quantum. Chem. 11, 165 (1977); Purvis, G. D., Bartlett, R. J.: J. Chem. Phys. 68, 2114 (1978)

    Google Scholar 

  12. Diercksen, G. H. F., Sadlej, A. J.: Chem. Phys. 61, 229 (1981)

    Google Scholar 

  13. Diercksen, G. H. F., Sadlej, A. J.: Chem. Phys. Letters 84, 390 (1982); Diercksen, G. H. F., Sadlej, A. J.: Chem. Phys. 65, 407 (1982); Diercksen, G. H. F., Sadlej, A. J.: Chem. Phys. Letters 89, 423 (1982); Diercksen, G. H. F., Sadlej, A. J.: Theoret. Chim. Acta (Berl.) 61, 485 (1982)

    Google Scholar 

  14. Diercksen, G. H. F., Sadlej, A. J.: Phys. Rev. A., in press

  15. Paldus, J., Čižek, J.: Adv. Quantum Chem. 9, 105 (1975); Bartlett, R. J., Purvis, G. D.: Int. J. Quantum Chem. 14, 561 (1978); Wilson, S., Silver, D. M.: Int. J. Quantum Chem. 15, 683 (1979)

    Google Scholar 

  16. Brandow, B. H.: Rev. Mod. Phys. 39, 771 (1967); Brandow, B. H.: Adv. Quantum Chem. 10, 187 (1977); Lindgren, I: J. Phys. B.: At. Mol. Phys. 7, 2441 (1974); Lindgren, I.: Int. J. Quantum Chem. Symp. 12, 33 (1978)

    Google Scholar 

  17. Jaszuński, M., Sadlej, A. J.: Theoret. Chim. Acta (Berl.) 40, 157 (1975); Jaszuński, M., Sadlej, A. J.: Int. J. Quantum Chem. 11, 233 (1977)

    Google Scholar 

  18. Roos, B. O., Taylor, P. R., Siegbahn, P. E. M.: Chem. Phys. 48, 157 (1980); Roos, B. O.: Int. J. Quantum Chem. Symp. 14, 175 (1980)

    Google Scholar 

  19. Diercksen, G. H. F., Sadlej, A. J.: Mol. Phys. 47, 33 (1982)

    Google Scholar 

  20. Sadlej, A. J.: Chem. Phys. Lett. 47, 50 (1977); Sadlej, A. J.: Mol. Phys. 34, 731 (1977); Sadlej, A. J.: Acta Phys. Polon. A 53, 297 (1978); Epstein, S. T., Sadlej, A. J.: Int. J. Quantum Chem. 15, 147 (1979)

    Google Scholar 

  21. Woliński, K., Sadlej, A. J.: Chem. Phys. Letters 64, 51 (1979); Woliński, K., Sadlej, A. J.: Acta Phys. Polon. A 56, 681 (1979); Wolinski, K., Sadlej, A. J.: Mol. Phys. 41, 1419 (1980)

    Google Scholar 

  22. Nerbrant, P.-O., Roos, B. O., Sadlej, A. J.: Int. J. Quantum. Chem. 15, 135 (1979); Diercksen, G. H. F., Roos, B. O., Sadlej, A. J.: Chem. Phys. 59, 29 (1981)

    Google Scholar 

  23. Rivail, J. L., Cartier, A.: Mol. Phys. 36, 1085 (1978)

    Google Scholar 

  24. Huzinaga, S.: Approximate atomic functions. Technical Report: Division of Theoretical Chemistry, Department of Chemistry, University of Alberta, Edmonton, Alberta, Canada 1971

    Google Scholar 

  25. Reinsch, E.-A., Meyer, W.: Phys. Rev. A. 18, 1793 (1978)

    Google Scholar 

  26. Čársky, P., Urban, M.: Ab initio calculations, Lecture Notes in Chemistry, Vol. 16. Berlin-Heidelberg-New York: Springer 1980

    Google Scholar 

  27. Diercksen, G. H. F., Jaszuński, M., Sadlej, A. J.: Chem. Phys. 71, 105 (1982)

    Google Scholar 

  28. Roos, B.: Chem. Phys. Letters 15, 153 (1972); Roos, B. O., Siegbahn, P. E. M.: In: Modern theoretical chemistry, Vol. 3, Methods of electronic structure theory, p. 277, H. F. Schaefer, ed. New York: Plenum Press 1977

    Google Scholar 

  29. Kołos, W., Roothaan, C. C. J.: Rev. Mod. Phys. 32, 219 (1960)

    Google Scholar 

  30. Christiansen, P. A., McCullough, E. A., Jr.: Chem. Phys. Letters 55, 439 (1978); McCullough, E. A., Jr.: Mol. Phys. 42, 943 (1981)

    Google Scholar 

  31. McLean, A. D., Yoshimine, M.: J. Chem. Phys. 46, 3682 (1967)

    Google Scholar 

  32. Amos, R. D.: Chem. Phys. Letters 87, 23 (1982)

    Google Scholar 

  33. Amos, R. D.: Mol. Phys. 35, 1765 (1978)

    Google Scholar 

  34. Kołos, W., Wolniewicz, L.: J. Chem. Phys. 43, 2429 (1965)

    Google Scholar 

  35. Leeuw de, F. H., Dymanus, A.: J. Mol. Spectr. 48, 427 (1973); Muenter, J. S.: J. Chem. Phys. 56, 5409 (1972)

    Google Scholar 

  36. McLean, A. D., Yoshimine, M.: J. Chem. Phys. 45, 3676 (1966)

    Google Scholar 

  37. McLean, A. D., Yoshimine, M.: J. Chem. Phys. 47, 3256 (1967)

    Google Scholar 

  38. Davidson, E. R.: In: The world of quantum chemistry, R. Daudel, B. Pullman, eds. Dordrecht: Reidel Publ. Co. 1974; Langhoff, S. R., Davidson, E. R.: Int. J. Quantum Chem. 8, 6 (1974); Siegbahn, P. E. M.: Chem. Phys. Letters 55, 386 (1978)

    Google Scholar 

  39. Diercksen, G. H. F., Kraemer, W. P., Sadlej, A. J.: Chem. Phys. Letters 82, 117 (1981)

    Google Scholar 

  40. Diercksen, G. H. F., Kellö, V., Sadlej, A. J.: to be published

  41. Meyer, W.: Chem. Phys. 17, 27 (1976)

    Google Scholar 

  42. Mulder, F., Avoirdvan der, A., Wormer, P. E. S.: Mol. Phys. 37, 159 (1979)

    Google Scholar 

  43. Sadlej, A. J.: Mol. Phys. 40, 509 (1980)

    Google Scholar 

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Diercksen, G.H.F., Sadlej, A.J. Finite-field many-body perturbation theory IV. Basis set optimization in MBPT calculations of molecular properties. Molecular quadrupole moments. Theoret. Chim. Acta 63, 69–82 (1983). https://doi.org/10.1007/BF00549156

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