Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

Atomic and molecular signatures for charged-particle ionization

Abstract

The way in which atoms and molecules are ionized by the impact of charged particles has important consequences for the behaviour of many physical systems, from gas lasers to astrophysical plasmas. Much of our understanding of this process has come from ionization measurements of the energy and angular distribution of electrons ejected in the same plane as the trajectory of the incident ionizing beam. Such studies suggest that the mechanisms governing the ionization of atoms and molecules are essentially the same. But by measuring the electrons ejected from a gas in a plane perpendicular to the incident beam, we show this is not always the case. Experiments and quantum mechanical calculations enable us to construct a remarkably accurate classical picture of the physics of charged-particle ionization. This model predicts that the differences in ionization behaviour arise in molecules that do not have nuclei at their centres of mass.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1: The experimental geometry.
Figure 2: Experimental and theoretical DCS data in the perpendicular plane for He and H2 targets, normalized to unity at the experimental maximum.
Figure 3: Different mechanisms that may lead to ionization in the perpendicular plane.
Figure 4: Averaging of the electronic and nuclear structure of the targets as experimental constraints mean that the orientation of the molecule cannot be determined.
Figure 5: Change in the calculated ionization DCS for H2 in the perpendicular plane as a function of the size of the spherically averaged nuclear shell, normalized to unity at the experimental maximum.
Figure 6: DCS for ionization of CO2 in the perpendicular plane normalized to unity at the experimental maximum.

Similar content being viewed by others

References

  1. Dürr, M., Dimopoulou, C., Najjari, B., Dorn, A. & Ullrich, J. Three-dimensional images for electron-impact single ionization of He: Complete and comprehensive (e,2e) benchmark data. Phys. Rev. Lett. 96, 243202 (2006).

    Article  ADS  Google Scholar 

  2. Casagrande, E. M. S. et al. New coplanar (e,2e) experiments for the ionisation of He and Ar atoms. J. Electron Spectrosc. Relat. Phenom. 161, 27–30 (2007).

    Article  Google Scholar 

  3. Lower, J. R., Bellm, S. & Weigold, E. An improved double-toroidal spectrometer for gas phase (e,2e) studies. Rev. Sci. Instrum. 78, 111301 (2007).

    Article  ADS  Google Scholar 

  4. Deharak, B. A. & Martin, N. L. S. An out-of-plane (e, 2e) spectrometer using a movable electron gun. Meas. Sci. Tech. 19, 015604 (2008).

    Article  ADS  Google Scholar 

  5. Bray, I. & Stelbovics, A. Explicit demonstration of the convergence of the close-coupling method for a Coulomb three-body problem. Phys. Rev. Lett. 69, 53–56 (1992).

    Article  ADS  Google Scholar 

  6. Rescigno, T. N., Baertschy, M., Isaacs, W. A. & McCurdy, C. W. Collisional breakup in a quantum system of three charged particles. Science 286, 2474–2479 (1999).

    Article  Google Scholar 

  7. Colgan, J., Pindzola, M. S., Robicheaux, F. J., Griffin, D. C. & Baertschy, M. Time-dependent close-coupling calculations of the triple-differential cross section for electron-impact ionization of hydrogen. Phys. Rev. A 65, 042721 (2002).

    Article  ADS  Google Scholar 

  8. Bray, I., Fursa, D. V. & McCarthy, I. E. Convergent close-coupling method for electron scattering on helium. J. Phys. B 27, L421–L425 (1994).

    Article  ADS  Google Scholar 

  9. Murray, A. J. & Read, F. H. Evolution from the coplanar to the perpendicular plane geometry of helium (e,2e) differential cross sections symmetric in scattering angle and energy. Phys. Rev. A 47, 3724–3732 (1993).

    Article  ADS  Google Scholar 

  10. Murray, A. J. & Read, F. H. Low energy (e, 2e) differential cross section measurements on neon from the coplanar to the perpendicular plane geometry. J. Phys. B 33, L297–L302 (2000).

    Article  ADS  Google Scholar 

  11. Rasch, J., Whelan, C. T., Allan, R. J., Lucey, S. P. & Walters, H. R. J. Strong interference effects in the triple differential cross section of neutral-atom targets. Phys. Rev. A 56, 1379–1383 (1997).

    Article  ADS  Google Scholar 

  12. Stelbovics, A. T., Bray, I., Fursa, D. V. & Bartschat, K. Electron-impact ionization of helium for equal-energy-sharing kinematics. Phys. Rev. A 71, 052716 (2005).

    Article  ADS  Google Scholar 

  13. Milne-Brownlie, D. S., Foster, M., Gao, J., Lohmann, B. & Madison, D. H. Young-type interference in (e, 2e) ionization of H2 . Phys. Rev. Lett. 96, 233201 (2006).

    Article  ADS  Google Scholar 

  14. Murray, A. J. (e, 2e) ionization studies of alkaline-earth-metal and alkali-earth-metal targets: Na, Mg, K, and Ca, from near threshold to beyond intermediate energies. Phys. Rev. A 72, 062711 (2005).

    Article  ADS  Google Scholar 

  15. Srivastava, M. K., Kumar, R. C. & Srivastava, R. Coplanar doubly symmetric (e, 2e) process on sodium and potassium. Phys. Rev. A 74, 064701 (2006).

    Article  ADS  Google Scholar 

  16. Schulz, M. et al. Three-dimensional imaging of atomic four-body processes. Nature 422, 48–50 (2003).

    Article  ADS  Google Scholar 

  17. Murray, A. J., Woolf, M. B. J. & Read, F. H. Results from symmetric and non-symmetric energy sharing (e, 2e) experiments in the perpendicular plane. J. Phys. B 25, 3021–3036 (1992).

    Article  ADS  Google Scholar 

  18. Ward, S. J. & Macek, J. H. Wave functions for continuum states of charged fragments. Phys. Rev. A 49, 1049–1056 (1994).

    Article  ADS  Google Scholar 

  19. Gao, J., Peacher, J. L. & Madison, D. H. An elementary method for calculating orientation-averaged fully differential electron-impact ionization cross sections for molecules. J. Chem. Phys 123, 204302 (2005).

    Article  ADS  Google Scholar 

  20. Gao, J., Madison, D. H. & Peacher, J. L. Distorted wave born and three-body distorted wave born approximation calculations for the fully differential cross section for electron impact ionization of nitrogen molecules. J. Chem. Phys. 123, 204314 (2005).

    Article  ADS  Google Scholar 

  21. Zhang, X., Whelan, C. T. & Walters, H. R. J. Energy sharing (e,2e) collisions-ionisation of helium in the perpendicular plane. J. Phys. B 23, L173–L178 (1990).

    Article  ADS  Google Scholar 

Download references

Acknowledgements

We thank the EPSRC (UK) for supporting these experiments, and the NSF for support of the theoretical work under grant No. PHY-0757749.

Author information

Authors and Affiliations

Authors

Contributions

O.A.-H. and D.M. carried out the theoretical calculations for this work, whereas C.K. and A.M. carried out the experimental investigations that are presented.

Corresponding authors

Correspondence to Don Madison or Andrew James Murray.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Al-Hagan, O., Kaiser, C., Madison, D. et al. Atomic and molecular signatures for charged-particle ionization. Nature Phys 5, 59–63 (2009). https://doi.org/10.1038/nphys1135

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/nphys1135

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing