### Abstract

Cross sections of the electron impact ionization for different atoms are calculated numerically in the Born approximation as a function of both the incident electron energy and the nuclear charge Z of the ionized atom. We show that the cross section for ionization tends to a large magnitude as the nuclear charge of the target atom tends to its critical value, where the critical nuclear charge is the minimum charge necessary to bind N electrons. Results show that there is a fundamental difference in the change of the cross section near the critical point depending on whether the transition from bound to a continuum state is first order or continuous. The cross section for ionization and the threshold power law for two and three electrons are discussed.

Original language | English |
---|---|

Pages (from-to) | 575-581 |

Number of pages | 7 |

Journal | International Journal of Quantum Chemistry |

Volume | 80 |

Issue number | 4-5 |

Publication status | Published - 1 Nov 2000 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physical and Theoretical Chemistry

### Cite this

*International Journal of Quantum Chemistry*,

*80*(4-5), 575-581.

**Critical behavior of electron impact ionization of atoms.** / Ladadwa, Imad; Kais, Sabre.

Research output: Contribution to journal › Article

*International Journal of Quantum Chemistry*, vol. 80, no. 4-5, pp. 575-581.

}

TY - JOUR

T1 - Critical behavior of electron impact ionization of atoms

AU - Ladadwa, Imad

AU - Kais, Sabre

PY - 2000/11/1

Y1 - 2000/11/1

N2 - Cross sections of the electron impact ionization for different atoms are calculated numerically in the Born approximation as a function of both the incident electron energy and the nuclear charge Z of the ionized atom. We show that the cross section for ionization tends to a large magnitude as the nuclear charge of the target atom tends to its critical value, where the critical nuclear charge is the minimum charge necessary to bind N electrons. Results show that there is a fundamental difference in the change of the cross section near the critical point depending on whether the transition from bound to a continuum state is first order or continuous. The cross section for ionization and the threshold power law for two and three electrons are discussed.

AB - Cross sections of the electron impact ionization for different atoms are calculated numerically in the Born approximation as a function of both the incident electron energy and the nuclear charge Z of the ionized atom. We show that the cross section for ionization tends to a large magnitude as the nuclear charge of the target atom tends to its critical value, where the critical nuclear charge is the minimum charge necessary to bind N electrons. Results show that there is a fundamental difference in the change of the cross section near the critical point depending on whether the transition from bound to a continuum state is first order or continuous. The cross section for ionization and the threshold power law for two and three electrons are discussed.

UR - http://www.scopus.com/inward/record.url?scp=0034320032&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034320032&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034320032

VL - 80

SP - 575

EP - 581

JO - International Journal of Quantum Chemistry

JF - International Journal of Quantum Chemistry

SN - 0020-7608

IS - 4-5

ER -