### Abstract

Scaling laws and semiempirical methods can be powerful tools to predict electron-impact ionization cross-section data for modelling purposes and many other practical applications where a quick estimate of a large number of reasonably accurate cross-sections in analytical form is needed. Scaling laws can also be useful for the prediction of cross-section values for targets for which no experimental data or rigorous theoretical calculations are available. This paper describes the development of a new scaling law for electron-impact ionization cross-sections of hydrogen-, helium-, and lithium-like atomic targets based on the semiclassical Deutsch-Märk (DM) formalism. We show that the DM approach provides quantitative justification for a scaling law similar to the widely used Z^{4} scaling law for hydrogen-like targets (where Z is the nuclear charge) and that a new scaling law for the calculation of absolute ionization cross-sections for other isoelectronic sequences can be derived in the framework of the DM formalism. A detailed comparison of scaled and absolute cross-section estimates based on this scaling law with available experimental data is made.

Original language | English (US) |
---|---|

Pages (from-to) | 207-217 |

Number of pages | 11 |

Journal | International Journal of Mass Spectrometry and Ion Processes |

Volume | 151 |

Issue number | 2-3 |

DOIs | |

State | Published - Dec 15 1995 |

### Fingerprint

### Keywords

- Cross-sections
- Electron-impact ionization
- Ions

### ASJC Scopus subject areas

- Spectroscopy

### Cite this

*International Journal of Mass Spectrometry and Ion Processes*,

*151*(2-3), 207-217. https://doi.org/10.1016/0168-1176(95)04320-9

**Absolute and scaled electron-impact ionization cross-sections for hydrogen-, helium-, and lithium-like ions.** / Deutsch, H.; Becker, K.; Märk, T. D.

Research output: Contribution to journal › Article

*International Journal of Mass Spectrometry and Ion Processes*, vol. 151, no. 2-3, pp. 207-217. https://doi.org/10.1016/0168-1176(95)04320-9

}

TY - JOUR

T1 - Absolute and scaled electron-impact ionization cross-sections for hydrogen-, helium-, and lithium-like ions

AU - Deutsch, H.

AU - Becker, K.

AU - Märk, T. D.

PY - 1995/12/15

Y1 - 1995/12/15

N2 - Scaling laws and semiempirical methods can be powerful tools to predict electron-impact ionization cross-section data for modelling purposes and many other practical applications where a quick estimate of a large number of reasonably accurate cross-sections in analytical form is needed. Scaling laws can also be useful for the prediction of cross-section values for targets for which no experimental data or rigorous theoretical calculations are available. This paper describes the development of a new scaling law for electron-impact ionization cross-sections of hydrogen-, helium-, and lithium-like atomic targets based on the semiclassical Deutsch-Märk (DM) formalism. We show that the DM approach provides quantitative justification for a scaling law similar to the widely used Z4 scaling law for hydrogen-like targets (where Z is the nuclear charge) and that a new scaling law for the calculation of absolute ionization cross-sections for other isoelectronic sequences can be derived in the framework of the DM formalism. A detailed comparison of scaled and absolute cross-section estimates based on this scaling law with available experimental data is made.

AB - Scaling laws and semiempirical methods can be powerful tools to predict electron-impact ionization cross-section data for modelling purposes and many other practical applications where a quick estimate of a large number of reasonably accurate cross-sections in analytical form is needed. Scaling laws can also be useful for the prediction of cross-section values for targets for which no experimental data or rigorous theoretical calculations are available. This paper describes the development of a new scaling law for electron-impact ionization cross-sections of hydrogen-, helium-, and lithium-like atomic targets based on the semiclassical Deutsch-Märk (DM) formalism. We show that the DM approach provides quantitative justification for a scaling law similar to the widely used Z4 scaling law for hydrogen-like targets (where Z is the nuclear charge) and that a new scaling law for the calculation of absolute ionization cross-sections for other isoelectronic sequences can be derived in the framework of the DM formalism. A detailed comparison of scaled and absolute cross-section estimates based on this scaling law with available experimental data is made.

KW - Cross-sections

KW - Electron-impact ionization

KW - Ions

UR - http://www.scopus.com/inward/record.url?scp=0009374287&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0009374287&partnerID=8YFLogxK

U2 - 10.1016/0168-1176(95)04320-9

DO - 10.1016/0168-1176(95)04320-9

M3 - Article

VL - 151

SP - 207

EP - 217

JO - International Journal of Mass Spectrometry

JF - International Journal of Mass Spectrometry

SN - 1387-3806

IS - 2-3

ER -