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Use of combined Hartree–Fock–Roothaan theory in evaluation of lowest states of K[Ar]4s 03d 1 and Cr + [Ar]4s 03d 5 isoelectronic series over noninteger n-Slater type orbitals

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Abstract.

By using noninteger n-Slater type orbitals in combined Hartree–Fock–Roothaan method, self-consistent field calculations of orbital and lowest states energies have been performed for the isoelectronic series of open shell systems K[Ar]4s 03d 1 (2 D) (Z = 19–30) and Cr + [Ar]4s 03d 5 (6 S) (Z = 24–30). The results of the calculations for the orbital and total energies obtained by using minimal basis-sets of noninteger n-Slater type orbitals are given in the tables. The results are compared with the extended-basis Hartree–Fock computations. The orbital and total energies are in good agreement with those presented in the literature. The results can be useful in the study of various properties of heavy atomic systems when the combined Hartree–Fock–Roothaan approach is employed.

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References

  1. I N Levine, Quantum chemistry, 5th edn. (Englewood Cliffs, NJ, Prentice-Hall, 2000)

    Google Scholar 

  2. J C Slater, Phys. Rev. 36, 57 (1930)

    Article  ADS  Google Scholar 

  3. R G Parr and H W Joy, J. Chem. Phys. 26, 424 (1957)

    Article  ADS  Google Scholar 

  4. A F Saturno and R G Parr, J. Chem. Phys. 29, 490 (1958)

    Article  ADS  Google Scholar 

  5. D M Bishop, Adv. Quantum Chem. 3, 25 (1967)

    Article  ADS  Google Scholar 

  6. T Koga and A J Thakkar, Theor. Chem. Acc. 85, 363 (1993)

    Article  Google Scholar 

  7. T Koga, Y Seki and A J Thakkar, Bull. Chem. Soc. Jpn. 66, 3141 (1993)

    Article  Google Scholar 

  8. T Koga, M Omura, H Teruya and A J Thakkar, J. Phys. B28, 3113 (1995)

    ADS  Google Scholar 

  9. T Koga and K Kanayama, J. Phys. B30, 1623 (1997)

    ADS  Google Scholar 

  10. T Koga, S Watanabe, K Kanayama, R Yasuda and A J Thakkar, J. Chem. Phys. 103, 3000 (1995)

    Article  ADS  Google Scholar 

  11. B Miguel, T Koga and J M Garcia de la Vega, Theor. Chem. Acc. 104, 167 (2000)

    Article  Google Scholar 

  12. T Koga, K Kanayama and A J Thakkar, Int. J. Quantum Chem. 62, 1 (1997)

    Article  Google Scholar 

  13. T Koga and K Kanayama, Chem. Phys. Lett. 266, 123 (1997)

    Article  ADS  Google Scholar 

  14. T Koga, J M Garcia de la Vega and B Miguel, Chem. Phys. Lett. 283, 97 (1998)

    Article  ADS  Google Scholar 

  15. T Koga, T Shimazaki and T Satoh, J. Mol. Struct. (Theochem) 496, 95 (2000)

    Article  Google Scholar 

  16. E Clementi and C Roetti, At. Data Nucl. Data Tables 14, 177 (1974)

    Article  ADS  Google Scholar 

  17. C Froese Fischer, The Hartree-Fock methods for atoms (Wiley, New York, 1977) and http://atoms.vuse.vanderbilt.edu/hf.html

  18. I I Guseinov, B A Mamedov, M Ertürk, H Aksu and E Sahin, Few-Body Syst. 41, 211 (2007)

    Article  ADS  Google Scholar 

  19. I I Guseinov, J. Math. Chem. 42, 177 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  20. D M Bishop and J-C Leclerc, Mol. Phys. 24, 979 (1972)

    Article  ADS  Google Scholar 

  21. J-C Leclerc, Int. J. Quantum Chem. 10, 439 (1976)

    Article  Google Scholar 

  22. C C J Roothaan, Rev. Mod. Phys. 32, 179 (1960)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. J C Slater, Quantum theory of atomic structure (McGraw-Hill, New York, 1960) Vol. 2

    MATH  Google Scholar 

  24. I I Guseinov and B A Mamedov, Theor. Chem. Acc. 108, 21 (2002)

    Article  Google Scholar 

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GUSEINOV, I.I., ERTURK, M. & SAHIN, E. Use of combined Hartree–Fock–Roothaan theory in evaluation of lowest states of K[Ar]4s 03d 1 and Cr + [Ar]4s 03d 5 isoelectronic series over noninteger n-Slater type orbitals. Pramana - J Phys 76, 109–117 (2011). https://doi.org/10.1007/s12043-011-0010-x

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  • DOI: https://doi.org/10.1007/s12043-011-0010-x

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