Skip to main content
Log in

A priori determination of the nodal surfaces of trial wavefunctions of lithium hydride molecule

  • Brief Communications
  • Published:
Russian Chemical Bulletin Aims and scope

Abstract

A comparative analysis of geometric properties of the nodal surfaces of four-electron trial wave function for LiH molecule is performed within the framework of the Hartree—Fock approximation and the method of many-electron wave functions (MWF) developed by the authors. Unlike the MWF method, the Hartree—Fock approximation fails to include the dependence of the nodal surfaces of MWF on nuclear charges of atoms in molecules and on effects of correlated motion of electrons with antiparallel spins because the nodal surfaces are specified by the mathematical properties of Slater determinants rather than physically clear and more practically valuable algebraic products of electrostatic potential differences.

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.

References

  1. N. D. Chuvylkin, E. A. Smolenskii, N. S. Zefirov, Dokl. Akad. Nauk, 2010, 434, 339 [Dokl. Phys. (Engl. Transl.), 2010, 434].

    Google Scholar 

  2. N. D. Chuvylkin, E. A. Smolenskii, I. V. Kuzmin, N. S. Zefirov, Russ. Chem. Bull. (Int. Ed.), 2010, 59, 2005 [Izv. Akad. Nauk. Ser. Khim., 2010, 1955].

    Article  CAS  Google Scholar 

  3. N. D. Chuvylkin, E. A. Smolenskii, Russ. Chem. Bull. (Int. Ed.), 2012, 61, 652 [Izv. Akad. Nauk. Ser. Khim., 2012, 649].

    Article  CAS  Google Scholar 

  4. V. A. Fock, Nachala kvantovoi mekhaniki [The Foundations of Quantum Mechanics], Nauka, Moscow, 1976, 376 pp. (in Russian).

    Google Scholar 

  5. I. Mayer, Simple Theorems, Proofs, and Derivations in Quantum Chemistry, Kluwer Academic—Plenum Publishers, New York—Boston—Dordrecht—London—Moscow, 2003, 352 pp.

    Book  Google Scholar 

  6. N. D. Chuvylkin, E. A. Smolenskii, N. S. Zefirov, Russ. Chem. Rev. (Engl. Transl.), 2005, 74, 1027.

    Article  CAS  Google Scholar 

  7. N. D. Chuvylkin, E. A. Smolenskii, M. S. Molchanova, N. S. Zefirov, Int. J. Quant. Chem., 2010, 110, 1809.

    CAS  Google Scholar 

  8. N. D. Chuvylkin, E. A. Smolenskii, A. V. Chernykh, Khim. Fiz., 2006, 25, 55 [Russ. J. Phys. Chem. B (Engl. Transl.), 2006, 25].

    CAS  Google Scholar 

  9. J. C. Slater, Electronic Structure of Molecules, McGraw-Hill Book Company INC, New York—San Francisco—Toron-to—London, 1963.

    Google Scholar 

  10. H. B. Gray, Electrons and Chemical Bonding, W. A. Benjamin INC, New York—Amsterdam, 1965.

    Google Scholar 

  11. V. I. Minkin, B. Ya. Simkin, R. M. Minyaev, Teoriya stroeniya molekul [Theory of the Structure of Molecules], Feniks, Rostov-on-Don, 1997, p. 68 (in Russian).

    Google Scholar 

  12. E. A. Smolenskii, Dokl. Akad. Nauk SSSR, 1989, 304, 595 [Dokl. Chem. (Engl. Transl.), 1989].

    Google Scholar 

  13. S. N. Maximoff, S. A. Shpilkin, E. A. Smolenskii, Phys. Rev. A, 2000, 61, 2250.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. A. Smolenskii.

Additional information

Dedicated to Academician of the Russian Academy of Sciences M. P. Egorov on the occasion of his 60th birthday.

Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 11, pp. 2547—2550, Novemer, 2013.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chuvylkin, N.D., Smolenskii, E.A. & Kuzmin, I.V. A priori determination of the nodal surfaces of trial wavefunctions of lithium hydride molecule. Russ Chem Bull 62, 2547–2550 (2013). https://doi.org/10.1007/s11172-013-0369-6

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11172-013-0369-6

Key words

Navigation