Skip to main content
SpringerLink
Log in
Book cover

The Stability of Matter: From Atoms to Stars pp 87–89Cite as

Atomic and Molecular Negative Ions

  • Chapter

  • 416 Accesses

Abstract

An upper bound is given for the maximum number, N c , of negative particles (fermions or bosons or a mixture of both) of charge -e that can be bound to an atomic nucleus of charge + ze. If z is integral then N c ≤2z. In particular, this is the first proof that H-- is not stable. For a molecule, N c ≤ 2z + K -1, where K is the number of atoms in the molecule and Z is the total nuclear charge.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. M. B. Ruskai, Commun. Math. Phys. 82, 457 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  2. I. M. Sigal, Commun. Math. Phys. 85, 309 (1982). See also Mathematical Problems in Theoretical physics, Lecture Notes in Theoretical Physics Vol. 153, edited by G. Dell-Antonio, S. Doplicher, and R. Jona-Lasinio (Springer-Verlag, Berlin, 1982), pp. 149–156.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. M. B. Ruskai, Commun. Math. Phys. 85, 325 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  4. M. Sigal, Institute Mittag Leffler Report No. 12, 1982, revised 1983 (to be published).

    Google Scholar 

  5. R. Benguria and E. H. Lieb, Phys. Rev. Lett. 50, 1771 (1983).

    Article  ADS  Google Scholar 

  6. R. N. Hill, in Mathematical Problems in Theoretical Physics, edited by K. Osterwalder, Lecture Notes in Physics Vol. 116 (Springer-Verlag, New York, 1979), pp. 52–56.

    Google Scholar 

  7. G. Zhislin, Tr. Mosk. Mat. Obshch. 9, 81 (1960).

    Google Scholar 

  8. E. H. Lieb, I. M. Sigal, B. Simon, and W. E. Thirring, “Asymptotic Bulk Neutrality of Large-Z Ions” (to be published), and to be published.

    Google Scholar 

  9. E. H. Lieb, “Bound on the Maximum Negative Ionization of Atoms and Molecules, ” Phys. Rev. A (to be published).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departments of Mathematics and Physics, Princeton University, Princeton, New Jersey, 08544, USA

    Elliott H. Lieb

Authors
  1. Elliott H. Lieb
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090, Wien, Austria

    Walter Thirring

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Lieb, E.H. (2001). Atomic and Molecular Negative Ions. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04360-8_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-04360-8_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-04362-2

  • Online ISBN: 978-3-662-04360-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation