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Original scientific paper

Gram Detereminantal Inequalities with Elements <rm> Obtained from Hylleraas Wave Functions for the 2S States of the Three-Electron Systems Li, Be+, B2+, C3+,N4+, O5+, F6+, and Ne7+

P. Csavinszky ; Department of Physics and Astronomy, University of Maine; Orano, Maine 04469-5709, USA

Fulltext: english, pdf (2 MB) pages 927-932 downloads: 101* cite
APA 6th Edition
Csavinszky, P. (1996). Gram Detereminantal Inequalities with Elements <rm> Obtained from Hylleraas Wave Functions for the 2S States of the Three-Electron Systems Li, Be+, B2+, C3+,N4+, O5+, F6+, and Ne7+. Croatica Chemica Acta, 69 (3), 927-932. Retrieved from https://hrcak.srce.hr/177121
MLA 8th Edition
Csavinszky, P.. "Gram Detereminantal Inequalities with Elements <rm> Obtained from Hylleraas Wave Functions for the 2S States of the Three-Electron Systems Li, Be+, B2+, C3+,N4+, O5+, F6+, and Ne7+." Croatica Chemica Acta, vol. 69, no. 3, 1996, pp. 927-932. https://hrcak.srce.hr/177121. Accessed 25 Jul. 2021.
Chicago 17th Edition
Csavinszky, P.. "Gram Detereminantal Inequalities with Elements <rm> Obtained from Hylleraas Wave Functions for the 2S States of the Three-Electron Systems Li, Be+, B2+, C3+,N4+, O5+, F6+, and Ne7+." Croatica Chemica Acta 69, no. 3 (1996): 927-932. https://hrcak.srce.hr/177121
Harvard
Csavinszky, P. (1996). 'Gram Detereminantal Inequalities with Elements <rm> Obtained from Hylleraas Wave Functions for the 2S States of the Three-Electron Systems Li, Be+, B2+, C3+,N4+, O5+, F6+, and Ne7+', Croatica Chemica Acta, 69(3), pp. 927-932. Available at: https://hrcak.srce.hr/177121 (Accessed 25 July 2021)
Vancouver
Csavinszky P. Gram Detereminantal Inequalities with Elements <rm> Obtained from Hylleraas Wave Functions for the 2S States of the Three-Electron Systems Li, Be+, B2+, C3+,N4+, O5+, F6+, and Ne7+. Croatica Chemica Acta [Internet]. 1996 [cited 2021 July 25];69(3):927-932. Available from: https://hrcak.srce.hr/177121
IEEE
P. Csavinszky, "Gram Detereminantal Inequalities with Elements <rm> Obtained from Hylleraas Wave Functions for the 2S States of the Three-Electron Systems Li, Be+, B2+, C3+,N4+, O5+, F6+, and Ne7+", Croatica Chemica Acta, vol.69, no. 3, pp. 927-932, 1996. [Online]. Available: https://hrcak.srce.hr/177121. [Accessed: 25 July 2021]

Abstracts
The present work considers 2 x 2, 3 x 3, 4 x 4, 5 x 5, and 6 x 6
Gram determinants whose elements are expection values of r,
where r is the distance from the nucleus of a three-electron system.
The «r":» values considered are those of King and Dressesl, who
evaluated the radi al electronic density function in closed form for
the 28 states of three-electron systems that are described by
Hylleraas-type wave functions. (The number of terms in the wave
functions are the following:233 for Li, 164 for Be", 201 for B2+, and
213 for C3+, N4+, 05+, F6+, and Ne7+). In the present work it is assumed, for purposes of illustration, that is unknown. It is
found that lower bounds to , calculated from the 2 x 2, 3 x 3,
4 x 4, 5 x 5, and 6 x 6 Gram determinantal inequalities converge
to the literature values obtained in King and DresseL (The literature
values are those that have been obtained with wave functions
more involved than those of King and Dressel).

Hrčak ID: 177121

URI
https://hrcak.srce.hr/177121

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