Three-Parameter Wave Functions for ns2-Orbitals in Alkali-Metal Negative Ions

M. A. Abbadi; I. I. Al-Qasir; J. M. Khalifeh

doi:10.1023/A:1025736213825

Three-Parameter Wave Functions for ns²-Orbitals in Alkali-Metal Negative Ions

M. A. Abbadi, I. I. Al-Qasir, J. M. Khalifeh

Research output: Contribution to journal › Article › peer-review

Abstract

A three-parameter variational wave function is used to describe the binding energy of alkali-metal negative ions using a two-electron system in the ns²-state. Each electron is described by a modified screened hydrogenic wave function involving two free screening parameters denoted by c and a in addition to the core-screened nuclear charge, Z*. The model is applied to lithium, sodium, potassium, rubidium, and cesium anions, where the optimum values of the variational parameters are deduced through fitting the optimized energy to the available experimental values. It is also applied to group-II isoelectronic neutral atoms of Be, Mg, Ca, Sr, and Ba. The results of our calculation are compared with other two-electron methods.

Original language	English
Pages (from-to)	1629-1639
Number of pages	11
Journal	International Journal of Theoretical Physics
Volume	42
Issue number	7
DOIs	https://doi.org/10.1023/A:1025736213825
State	Published - Jul 2003
Externally published	Yes

Keywords

Electron affinity
Electronic structure of atomic negative ions
Photodetachment
Variational techniques

Access to Document

10.1023/A:1025736213825

Cite this

@article{7913e7ab669246a883f50cad7ca6ba58,

title = "Three-Parameter Wave Functions for ns2-Orbitals in Alkali-Metal Negative Ions",

abstract = "A three-parameter variational wave function is used to describe the binding energy of alkali-metal negative ions using a two-electron system in the ns2-state. Each electron is described by a modified screened hydrogenic wave function involving two free screening parameters denoted by c and a in addition to the core-screened nuclear charge, Z*. The model is applied to lithium, sodium, potassium, rubidium, and cesium anions, where the optimum values of the variational parameters are deduced through fitting the optimized energy to the available experimental values. It is also applied to group-II isoelectronic neutral atoms of Be, Mg, Ca, Sr, and Ba. The results of our calculation are compared with other two-electron methods.",

keywords = "Electron affinity, Electronic structure of atomic negative ions, Photodetachment, Variational techniques",

author = "Abbadi, {M. A.} and Al-Qasir, {I. I.} and Khalifeh, {J. M.}",

year = "2003",

month = jul,

doi = "10.1023/A:1025736213825",

language = "English",

volume = "42",

pages = "1629--1639",

journal = "International Journal of Theoretical Physics",

issn = "0020-7748",

publisher = "Springer",

number = "7",

}

TY - JOUR

T1 - Three-Parameter Wave Functions for ns2-Orbitals in Alkali-Metal Negative Ions

AU - Abbadi, M. A.

AU - Al-Qasir, I. I.

AU - Khalifeh, J. M.

PY - 2003/7

Y1 - 2003/7

N2 - A three-parameter variational wave function is used to describe the binding energy of alkali-metal negative ions using a two-electron system in the ns2-state. Each electron is described by a modified screened hydrogenic wave function involving two free screening parameters denoted by c and a in addition to the core-screened nuclear charge, Z*. The model is applied to lithium, sodium, potassium, rubidium, and cesium anions, where the optimum values of the variational parameters are deduced through fitting the optimized energy to the available experimental values. It is also applied to group-II isoelectronic neutral atoms of Be, Mg, Ca, Sr, and Ba. The results of our calculation are compared with other two-electron methods.

AB - A three-parameter variational wave function is used to describe the binding energy of alkali-metal negative ions using a two-electron system in the ns2-state. Each electron is described by a modified screened hydrogenic wave function involving two free screening parameters denoted by c and a in addition to the core-screened nuclear charge, Z*. The model is applied to lithium, sodium, potassium, rubidium, and cesium anions, where the optimum values of the variational parameters are deduced through fitting the optimized energy to the available experimental values. It is also applied to group-II isoelectronic neutral atoms of Be, Mg, Ca, Sr, and Ba. The results of our calculation are compared with other two-electron methods.

KW - Electron affinity

KW - Electronic structure of atomic negative ions

KW - Photodetachment

KW - Variational techniques

UR - http://www.scopus.com/inward/record.url?scp=0347126590&partnerID=8YFLogxK

U2 - 10.1023/A:1025736213825

DO - 10.1023/A:1025736213825

M3 - Article

AN - SCOPUS:0347126590

SN - 0020-7748

VL - 42

SP - 1629

EP - 1639

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 7

ER -

Three-Parameter Wave Functions for ns²-Orbitals in Alkali-Metal Negative Ions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this