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STRUTINSKY’S SHELL-CORRECTION METHOD IN THE EXTENDED KOHN-SHAM SCHEME: APPLICATIONTOTHE IONIZATION POTENTIAL, ELECTRON AFFINITY, ELECTRONEGATIVITY AND CHEMICAL HARDNESS OF ATOMS

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Recent Advances in the Theory of Chemical and Physical Systems

Part of the book series: Progress in Theoretical Chemistry and Physics ((PTCP,volume 15))

Abstract

Calculations of the first-order shell corrections of the ionization potential, δ 1 I, electron affinity, δ 1 A, electronegativity, δ 1 χ, and chemical hardness, δ1η are performed for elements from B to Ca, using the previously described Strutinsky averaging procedure in the frame of the extended Kohn-Sham scheme. A good agreement with the experimental results is obtained, and the discrepancies appearing are discussed in terms of the approximations made.

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References

  1. R. G. Parr, R. A. Donnelly, M. Levy and W. E. Palke, J. Chem. Phys. 68 (1978) 3801.

    Article  CAS  Google Scholar 

  2. R. G. Parr and R. G. Pearson, J. Am. Chem. Soc. 105 (1983) 7512.

    Article  CAS  Google Scholar 

  3. R. G. Parr and W. Yang, Density Functional Theory of Atoms and Molecules (Oxford University Press, New York, 1989), chapter 5.

    Google Scholar 

  4. F. De Proft and P. Geerlings, Chem. Rev 101 (2001) 1451.

    Article  CAS  Google Scholar 

  5. K. D. Sen, P. C. Schmidt and M. C. Bohm, Struct. Bond. 66 (1987) 99.

    Article  CAS  Google Scholar 

  6. P. Politzer, J. Chem. Phys. 86 (1987) 1072.

    Article  CAS  Google Scholar 

  7. P. Politzer and H. Weinstein, J. Chem. Phys. 71 (1979) 4218.

    Article  CAS  Google Scholar 

  8. J. Maruani, A. Khoudir and M. Tronc, Progr. Theor. Chem. Phys. B3 (2000) 123.

    Google Scholar 

  9. R. G. Pearson, Chemical Hardness (Wiley, New York, 1997).

    Google Scholar 

  10. A. I. Kuleff, Ya. I. Delchev, P. Tz. Yotov, Tz. Mineva and J. Maruani, Int. J. Quantum Chem. 89 (2002) 217.

    Article  CAS  Google Scholar 

  11. Ya. I. Delchev, A. I. Kuleff, Tz. Mineva, F. Zakhariev and J. Maruani, Int. J. Quantum Chem. 99 (2004) 265.

    Article  CAS  Google Scholar 

  12. D. Ullmo, T. Nagano, S. Tomsovic and H. U. Baranger, Phys. Rev. B 63 (2001) 125339.

    Article  CAS  Google Scholar 

  13. M. Reimann, M. Brack and K. Z. Hansen, Z. Phys. D 28 (1993) 235.

    Article  CAS  Google Scholar 

  14. C. Yannouleas and U. Landman, Phys. Rev. B 51 (1995) 1902.

    Article  CAS  Google Scholar 

  15. D. Bonatsos, A. I. Kuleff, J. Maruani, P. P. Raychev and P. A. Terziev, Int. J. Quantum Chem. 89 (2002) 377.

    Article  CAS  Google Scholar 

  16. V. M. Strutinsky, Yad. Phys. 3 (1966) 614 [Sov. J. Nucl. Phys. 3 (1966) 449]; Nucl. Phys. A 95 (1967) 420–442; ibid. 122 (1968) 1.

    Google Scholar 

  17. M. Brack, J. Damgaard, A. S. Nilsen, H. S. Pauli, V. M. Strutinsky and C. Y. Wong, Rev. Mod. Phys. 44 (1973) 320.

    Article  Google Scholar 

  18. M. Brack and H. C. Pauli, Nucl. Phys. A 207 (1973) 401.

    Article  CAS  Google Scholar 

  19. Ya. I. Delchev, A. I. Kuleff, J. Maruani and R. L. Pavlov, Adv. Quantum Chem. 31 (1999) 53.

    Google Scholar 

  20. P. Hohenberg and W. Kohn, Phys. Rev. B 136 (1964) 864.

    Article  Google Scholar 

  21. N. D. Mermin, Phys. Rev. 137 (1965) A1141.

    Article  Google Scholar 

  22. J. P. Perdew, R. G. Parr, M. Levy and J. L. Balduz, Phys. Rev. Lett. 49 (1982) 1691.

    Article  CAS  Google Scholar 

  23. J. P. Perdew, in Density-Functional Methods in Physics, vol. 123 of NATO Advanced Study Institute, Series B, R. M. Diezler and J. da Providencia (Eds) (Plenum, New York, 1985).

    Google Scholar 

  24. M. Levy, Proc. Natl. Acad. Sci. USA 76 (1972) 6062.

    Google Scholar 

  25. F. E. Zahariev and Y. A. Wang, Phys. Rev. A 70 (2004) 042503.

    Article  CAS  Google Scholar 

  26. E. K. U. Gross, L. N. Oliveira and W. Kohn, Phys. Rev. A 37 (1988) 2805; idem 2809; idem 2821.

    Article  Google Scholar 

  27. R. M. Dreizler and E. K. U. Gross, Density Functional Theory (Springer-Verlag, Berlin, 1990).

    Google Scholar 

  28. F. J. Janak, Phys. Rev. B 18 (1978) 7165.

    Article  CAS  Google Scholar 

  29. J. P. Perdew and M. Levy, Phys. Rev. B 56 (1997) 16021.

    Article  CAS  Google Scholar 

  30. C.-O. Almbladh and U. von Barth, Phys. Rev. B 31 (1985) 3231.

    Article  CAS  Google Scholar 

  31. J. P. Perdew and M. Levy, Phys. Rev. Lett. 51 (1983) 1884.

    Article  CAS  Google Scholar 

  32. I. Lindgren and S. Salomonson, Phys. Rev. A 67 (2003) 56501; I. Lindgren and S. Salomonson, Adv. Quantum Chem. 43 (2003) 95.

    Article  CAS  Google Scholar 

  33. S. Liu and R. G. Parr, Phys. Rev. A 53 (1996) 2211; S. Liu and R. G. Parr, ibid. 55 (1997) 1792; N. H. March, ibid. 56 (1997) 1025; R. G. Parr and S. Liu, Chem. Phys. Lett. 276 (1997) 164; S. Liu and R. G. Parr, ibid. 278 (1997) 341; R. G. Parr and S. Liu, ibid. 280 (1997) 159.

    Article  CAS  Google Scholar 

  34. T. T. Nguyen-Dang, R. F. W. Bader and H. Essen, Int. J. Quantum Chem. 22 (1982) 1049; D. Bergmann and J. Hinze, in Electronegativity, Structure and Bonding, Vol. 66, K. D. Sen and C. K. Jorgensen (eds) (Springer-Verlag, Berlin, 1987), p. 145.

    Article  CAS  Google Scholar 

  35. M. Levy, J. P. Perdew and V. Sahni, Phys. Rev. A 30 (1984) 2745.

    Article  Google Scholar 

  36. E. P. Gyftopoulos and G. N. Hatsopoulos, Proc. Natl. Acad. Sci. U.S.A. 60 (1968) 786.

    CAS  Google Scholar 

  37. R. S. Mulliken, J. Chem. Phys. 2 (1934) 782.

    Article  CAS  Google Scholar 

  38. R. G. Parr and L. J. Bartolotti, J. Phys. Chem. 87 (1983) 2810.

    Article  CAS  Google Scholar 

  39. R. T. Sanderson, Science 121 (1955) 207.

    CAS  Google Scholar 

  40. R. T. Sanderson, Polar Covalence (Academic Press, New York, 1983).

    Google Scholar 

  41. R. G. Pearson, J. Am. Chem. Soc. 85 (1963) 3533.

    Article  CAS  Google Scholar 

  42. P. K. Chattaraj, P. K. Lee, and R. G. Parr, J. Am. Chem. Soc. 113 (1991) 1855.

    Article  CAS  Google Scholar 

  43. R. G. Parr and P. K. Chattaraj, J. Am. Chem. Soc. 113 (1991) 1854.

    Article  CAS  Google Scholar 

  44. P. Geerlings and F. De Proft, Int. J. Mol. Sci. 3 (2002) 276.

    Article  CAS  Google Scholar 

  45. P. Geerlings and F. De Proft, Int. J. Quant. Chem. 80 (2000) 227.

    Article  CAS  Google Scholar 

  46. W. Kohn and L. S. Sham, Phys. Rev. A 140 (1965) 1133.

    Article  Google Scholar 

  47. G. H. Liu and R. G. Parr, J. Am. Chem. Soc. 117 (1995) 3179.

    Article  CAS  Google Scholar 

  48. N. Neshev and T. Mineva, in Metal-Ligand Interactions: Structure and Reactivity, N. Russo and D. R. Salahub (eds) (Kluwer, Dordrecht, 1996) pp. 361.

    Google Scholar 

  49. K. Pomorski, arXiv:nucl-th/0403082 v1 (2004).

    Google Scholar 

  50. M. Rajasekaran, D. Caleb Chanthi Raj, R. Premanand and V. Devanathan, Phys. Rev. 41 (1990) 394.

    CAS  Google Scholar 

  51. C. Yannouleas and U. Landman, Phys. Rev. Lett. 78 (1997) 1424.

    Article  CAS  Google Scholar 

  52. M. Brack and P. Quentin, Nucl. Phys. A 361 (1981) 35.

    Article  Google Scholar 

  53. T. Mineva, N. Neshev, N. Russo, E. Sicilia, and M. Toscano, Adv. Quantum Chem. 33 (1999) 273; T. Mineva, N. Russo and E. Sicilia, J. Am. Chem. Soc. 120 (1998) 9053.

    Article  Google Scholar 

  54. A. St-Amant and D. R. Salahub, Chem. Phys. Lett. 169 (1990) 387; KS-DFT deMon package (version 3.5): M. E. Casida, C. Daul, A. Goursot, A. Koester, L. G. M. Pettersson, E. Proynov, A. St-Amant, and D. R. Salahub are principal authors; S. Chretién, H. Duarte, N. Godbout, J. Guan, C. Jamorski, M. Leboeuf, V. Malkin, O. Malkina, M. Nyberg, L. Pedocchi, F. Sim and A. Vela are contributing authors (deMon Software, Montreal, 1998).

    Article  CAS  Google Scholar 

  55. J. P. Perdew, Phys. Rev. B 33 (1986) 8822; J. P. Perdew and W. Yue, Phys. Rev. B 33 (1986) 8800.

    Article  Google Scholar 

  56. For information about this package, see http://www.wolfram.com.

  57. C. E. Moore, Nat. Stand. Ref. Data Ser., Nat. Bur. Stand. (U.S.) 34 (1970).

    Google Scholar 

  58. R. G. Pearson, Inorg. Chem. 27 (1988) 734.

    Article  CAS  Google Scholar 

  59. S. Baroni and E. Tuncel, J. Chem. Phys. 79 (1983) 6140.

    Article  CAS  Google Scholar 

  60. S. Baroni, J. Chem. Phys. 80 (1984) 5703.

    Article  CAS  Google Scholar 

  61. S. Manoli and M. A. Whitehead, Phys. Rev. A 34 (1986) 4629.

    Article  Google Scholar 

  62. Y. Guo, S. Manoli and M. A. Whitehead, Phys. Rev. A 38 (1988) 1120.

    Article  CAS  Google Scholar 

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DELCHEV, Y., KULEFF, A., MARUANI, J., MINEVA, T., ZAHARIEV, F. (2006). STRUTINSKY’S SHELL-CORRECTION METHOD IN THE EXTENDED KOHN-SHAM SCHEME: APPLICATIONTOTHE IONIZATION POTENTIAL, ELECTRON AFFINITY, ELECTRONEGATIVITY AND CHEMICAL HARDNESS OF ATOMS. In: JULIEN, JP., MARUANI, J., MAYOU, D., WILSON, S., DELGADO-BARRIO, G. (eds) Recent Advances in the Theory of Chemical and Physical Systems. Progress in Theoretical Chemistry and Physics, vol 15. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4528-X_7

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