Skip to main content
Log in

Calculation of the electronic structure of metalloporphyrin dianions by the restricted Hartree-Fock method

  • Published:
Theoretical and Experimental Chemistry Aims and scope

Abstract

The metalloporphine dianions (Me-P)2− with D4h symmetry for the nuclear skeleton have an eg 2 electronic configuration, which generates the triplet state 3A2g and the three single states 1B1g, 1B2g, and 1A1g. With the aid of projection operators of the symmetry group, SCF equations have been formulated for such systems with open shells of degenerate orbitals, where the Roothaan method is not directly applicable. Calculations of the individual states of (Me-P)2− and its analogs have been performed by the proposed method in the π-electronic approximation. In accordance with Hund's rule, it has been found that the lowest level in the multiplet is the triplet level and that the subsequent singlet levels of (Me-P)2− are 340 (1B1g), 2560 (1B2g), and 3010 (1A1g cm−1 above it. A comparison of the π-electron densities of (Me-P)2− and Me-P has revealed, first, that the additional charge is distributed along the periphery of the macrocycle (the maximum increase takes place at the bridging atoms) and, second, that a number of bonds are strengthened, rather than weakened. The results obtained correlate well with the data on the reactivity and vibrational spectra of the dianions of porphyrins.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. A. N. Sidorov and V. G. Maslov, “Negative ions of tetrapyrrole compounds,” Usp. Khim., 44, No. 4, 577–601 (1975).

    Google Scholar 

  2. V. G. Maslov, “Calculation of the electronic structure of radical-anion and excited states of porphyrins by the Pariser-Parr-Pople method,” Teor. Éksp. Khim., 17, No. 3, 373–378 (1981).

    Google Scholar 

  3. K. Dzilin'ski and G. N. Sinyakov, “ESR spectra and spin density of radical anions of magnesium and zinc azaporphyrinates,” ibid., 18, No. 2, 227–233 (1982).

    Google Scholar 

  4. V. G. Maslov, “Interpretation of the spectra of radical anions of porphyrins,” Opt. Spektrosk., 40, No. 3, 483–491 (1976).

    Google Scholar 

  5. R. E. Linder, J. R. Rowlands, and N. S. Hush, “Magnetic circular dichroism and theoretical studies of the excited states of magnesium phthalocyanine negative ions,” Mol. Phys., 21, No. 3, 417–437 (1971).

    Google Scholar 

  6. M. M. Mestechkin, G. T. Klimko, and V. A. Kuz'mitskii, “Substantiation of the Roothaan method for open shells,” Teor. Eksp. Khim., 20, No. 6, 641–649 (1984).

    Google Scholar 

  7. C. C. Roothaan, “Self-consistent field theory for open shells of electronic systems,” Rev. Mod. Phys., 32, No. 2, 179–185 (1960).

    Google Scholar 

  8. S. Husinaga, “Applicability of Roothaan's self-consistent field theory,” Phys. Rev., 120, No. 3, 866–871 (1960).

    Google Scholar 

  9. M. M. Mestechkin, “Restricted Hartree-Fock method instability,” Int. J. Quant. Chem., 13, No. 4, 469–481 (1978).

    Google Scholar 

  10. M. M. Mestechkin, “Open-shell restricted Hartree-Fock density matrix direct calculations,” ibid., 18, No. 1, 19–23 (1980).

    Google Scholar 

  11. M. M. Mestechkin and V. N. Poltavets, “Restricted Hartree-Fock method for an open shell,” Teor. Éksp. Khim., 16, No. 6, 723–731 (1980).

    Google Scholar 

  12. I. G. Kaplan, Symmetry of Many-Electron Systems [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  13. M. M. Mestechkin, Density-Matrix Method in Molecular Theory [in Russian], Naukova Dumka, Kiev (1977).

    Google Scholar 

  14. R. A. Évarestov, “Electronic energy for molecular systems with open shells in the restricted Hartree-Fock method,” Teor. Éksp. Khim., 18, No. 5, 515–520 (1982).

    Google Scholar 

  15. W. T. Borden and E. R. Davidson, “Singlet-triplet energy separation in some hydrocarbon diradicals,” Ann. Rev. Phys. Chem., 30, 125–153 (1979).

    Google Scholar 

  16. G. L. Gloss and L. E. Closs, “Negative ions of porphine metal complexes,” J. Am. Chem. Soc., 85, No. 6, 818–819 (1963).

    Google Scholar 

  17. A. M. Shul'ga, G. N. Sinyakov, and G. P. Gurinovich, “Intermediate products of the reduction of porphyrins and their structure,” Biofizika, 23, No. 1, 5–10 (1978).

    Google Scholar 

  18. A. M. Shul'ga, G. P. Gurinovich, and L. I. Krasovskaya, “Influence of alkali metals on the structure of the protonation products of metalloporphyrin dianions,” Dokl. Akad. Nauk BSSR, 24, No. 2, 176–179 (1960).

    Google Scholar 

  19. I. V. Aleksandrov, Ya. S. Bobovich, V. G. Maslov, and A. N. Sidorov, “Spectra of the spontaneous Raman scattering of metallophthalocyanines and their negative ions,” Opt. Spektrosk., 37, No. 3, 467–475 (1974).

    Google Scholar 

  20. A. N. Sidorov, “Infrared spectra of negative ions of metal phthalocyanines,” ibid., 40, No. 3, 492–499 (1976).

    Google Scholar 

  21. N. M. Ksenofontova, V. G. Maslov, A. N. Sidorov, and Ya. S. Bobovich, “Spectra of the resonant Raman scattering of radical anions and dianions of metal porphyrins,” ibid., 40, No. 5, 809–816 (1976).

    Google Scholar 

  22. N. V. Ivashin, I. F. Gurinovich, and G. P. Gurinovich, “Infrared spectra of anionic forms of Zn etioporphyrin,” Zh. Prikl. Spektrosk., 23, No. 6, 1026–1030 (1975).

    Google Scholar 

  23. L. L. Gladkov and K. N. Solov'ev, “Analysis of the normal modes of vibration of porphine and its derivatives on the basis of the solution of the inverse spectral problem for porphine and Cu porphine,” Preprint No. 303, Institute of Physics, Academy of Sciences of the Belorussian SSR, Minsk (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 22, No. 2, pp. 153–160, March–April, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuz'mitskii, V.A., Klimko, G.T., Mestechkin, M.M. et al. Calculation of the electronic structure of metalloporphyrin dianions by the restricted Hartree-Fock method. Theor Exp Chem 22, 142–149 (1986). https://doi.org/10.1007/BF00519184

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00519184

Keywords

Navigation