Skip to main content
Log in

Discrete Variational (DV)-Xα Calculations of Incomplete Cubane-Type Molybdenum Clusters [Mo3X4(H2O)9]4+ (X= O,S)1

  • Published:
Journal of Cluster Science Aims and scope Submit manuscript

Abstract

Electronic structures of two incomplete cubane-type clusters [Mo3X4(H2O)9]4+ (X =O, S) have been calculated by the discrete-variational (DV)-Xα method. The calculations explain the experimental results of valence-band X-ray photoelectron spectra, electronic spectra, and reactivity difference toward acetylene. The net charge of Mo in [Mo3S4(H2O)9]4+(S) is more negative than that of Mo in [MO3O4H2O)4+] (O), and the bridging sulfur atoms are the main negative charge-source for the molybdenum atoms in the cluster S. As for S,levels of HOMO (45e) and LUMO (46e) consist mainly of Mo 4d andμ-S 3p atomic orbitals, and contribution ofμ 3-S 3p to the orbitals is not large. The existence of Mo-Mo, Mo-μ-S, and Mo-μ 3-S bounds is clear from the contour maps of the orbitals. As for O levels of HOMO (40e) and LUMO (41c) consist mainly of Mo 4d andμ-O 2p atomic orbitals. Contribution ofμ 3-O 2p to the orbitals is not large except in the orbital 30a1,. The existence of Mo-Mo, Mo-μ-O, and MO-μ 3-O bonds also is appreciable from the contour maps of the orbitals.

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

References

  1. For example

  2. I. Dance and K. Fisher (1944).Prog. in Inorg. Chem. 41, 637;

    Google Scholar 

  3. T. Shibahara (1993).Coord. Chem. Rev. 123, 73,

    Google Scholar 

  4. T. Shibahara (1991).Adv. Inorg. Chem. 37, 143;

    Google Scholar 

  5. S. C. Lee and R. H. Holm (1990).Angew. Chem., Int. Ed. Engl. 29, 840;

    Google Scholar 

  6. (e)B. L. Ooi (1990).Bull. Sing. N. I. Chem,18, 19.

    Google Scholar 

  7. For example

  8. G. Sakane and T. Shibahara (1993).Inorg. Chem. 32, 777;

    Google Scholar 

  9. T. Murata, H. Gao, Y. Mizabe, F. Nakano, S. Motomura, T. Tanase, S. Yano, and M. Hidai (1992).J. Am. Chem. Soc. 114, 8287;

    Google Scholar 

  10. T. Shibahara, H. Akashi, M. Yamasaki, and K. Hashimoto (1991).Chem. Lett. 689;

  11. T. Shibahara, M. Yamasaki, H. Akashi, and T. Katayama (1991).Inorg. Chem. 30, 2693;

    Google Scholar 

  12. T. Shibahara, H. Akashi, and H. Kuroya (1986).J. Am. Chem. Soc. 108, 1342;

    Google Scholar 

  13. T. Shibahara, H. Akashi, and H. Kuroya (1986). J. Am. Chem. Soc.108, 1342;

    Google Scholar 

  14. H. Akashi and T. Shibahara (1989).Inorg Chem. 28, 2906.

    Google Scholar 

  15. T. Shibahara, G. Sakane, and S. Mochida (1943).J. Am. Chem. Soc. 115, 10408

    Google Scholar 

  16. H. Keck, A. Kruse, W. Kuchen, D. Mootz, R. Wiskemann, and H. Wunderlich (1990).Z. Naturforsch. 45b, 461;

    Google Scholar 

  17. X.-T. Wu, S.-F. Lu, L.-Y. Zu, Q.-I. Wu, and J.-X. Lu (1987).Inorg. Chim. Acta 133, 39;

    Google Scholar 

  18. A. Deeg, H. Keck, A. Kruse, W. Kuchen, H. Wunderlich (1988).Z. Naturforsch 43b, 1541:

    Google Scholar 

  19. S.-F. Lu, J.-Q. Huang, Y.-H. Lin, and J.-L. Huang (1987).Huaxue Xuebao 45, 666.

    Google Scholar 

  20. K. Tsuge, S. Yajinaa, H. Imoto, and T. Saito (1992).J. Am. Chem. Soc. 114, 7410:

    Google Scholar 

  21. Z.-D. Chen, J.-X. Lu, C.-W. Liu, and Q.-N. Zhang (1991).Polyhedron 10, 2799;

    Google Scholar 

  22. Z.-D. Chen, J.-X. Lu, C.-W. Liu, and Q.-E. Zhang (1991).J. Mol. Struct. (Theochem) 236, 343;

    Google Scholar 

  23. F. A. Cotton and X.- J. Feng (1941).Inorg. Chem. 30, 3666;

    Google Scholar 

  24. A. Muller, V. Wittneben, E. Krickenmeyer, H. Bagge, and M. Lemke (1991).Z. Ahorg. Allg. Chem. 605, 175;

    Google Scholar 

  25. Y. Wang, J. Wang, and J. Li (1991).J. Mol. Struct. (Theochem) 251, 165;

    Google Scholar 

  26. W.-D. Chen, Q.-N. Zhang, J.-S. Huang, and J.-X. Lu (1990).Polyhedron 9, 1625:

    Google Scholar 

  27. T. Saito, N. Yamamoto, T. Nagase, T. Tsuboi, K. Kobayashi, T. Yamagata, H. Imoto, and K. Unoura (1990).Inorg. Chem. 29, 764;

    Google Scholar 

  28. Y. Jiang, A. Tang, R. Hoffman, J. Huang, and J. Lu (1985).Organometallics 4, 27;

    Google Scholar 

  29. R. G. Woolley (1985).Inorg. Chem. 24, 3519;

    Google Scholar 

  30. J. Bernholk and E. I. Stiefel (1985).Inorg. Chem. 24, 1323;

    Google Scholar 

  31. D. Guenzburger, D. E. Ellis, P. A. Montano, G. K. Shenoy, S. K. Malik, D. G. Hinks, P. Vaishnava, and C. W. Kimball (1985).Phys. Rev. B 32, 4398;

    Google Scholar 

  32. M. H. Chisholm, F. A. Cotton, A. Fang, and E. M. Kober (1984).Inorg. Chenz. 23, 749;

    Google Scholar 

  33. B. E. Bursetn, F. A. Cotton, M. B. Hall, and R. C. Najjar (1982).Inorg. Chem. 21, 302.

    Google Scholar 

  34. A. Muller, R. Jostes, W. Jaegermann, and R. G. Bhattacharyya (1980).Inorg. Chem. Acta 41, 254;

    Google Scholar 

  35. A. Muller, R. Jostes, and F. A. Cotton (1980).Angew. Chem., Int. Ed. Engl. 19, 875.

    Google Scholar 

  36. H. Adachi, M. Tsukada, and C. Satoko (1978).J. Phys. Soc. Jpn. 45, 875.

    Google Scholar 

  37. J. C. Slater,Symmetry and Energy Bands in Crystals (Dover Publications, New York, 1972), pp. 55.

    Google Scholar 

  38. H. Akashi, T. Shibahara, and H. Kuroya (1940).Polyhedron 9, 1671

    Google Scholar 

  39. D. T. Richens, L. Helm, P.-A. Pittet, A. E. Merbach, F. Nicolo, and G. Chapuis (1989).Inorg. Chem. 28, 1394.

    Google Scholar 

  40. T. Shibahara, H. Tsuru, and H. Kuroya (1988).Inorg. Chem. Acta 150 167.

    Google Scholar 

  41. J. C. Slater,Quantum Theory of Molecules and Solids, Vol. 4: The Self-Consistent Field for Molecules and Solids (McGraw-Hill, New York, 1974).

    Google Scholar 

  42. T. Shibahara and H. Akashi (1992).Inorg. Synth. 29, 260.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to Professor Jiaxi Lu on the occasion of his 80th birthday.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sakane, G., Shibahara, T. & Adachi, H. Discrete Variational (DV)-Xα Calculations of Incomplete Cubane-Type Molybdenum Clusters [Mo3X4(H2O)9]4+ (X= O,S)1 . J Clust Sci 6, 503–521 (1995). https://doi.org/10.1007/BF01165770

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01165770

Key words

Navigation