Padé approximant formulas for atomic oscillator strengths

M. Cohen; R. P. Mceachran

doi:10.1002/qua.560140805

Padé approximant formulas for atomic oscillator strengths

M. Cohen^*
, R. P. Mceachran

^*Corresponding author for this work

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

3 Scopus citations

Abstract

Interpolation formulas, having functional forms inspired by Padé approximants, and containing at most three parameters, have been derived for a number of atomic oscillator strengths. It is shown that very accurate results are obtained both for specific transitions in the helium and lithium isoelectronic sequences, and for certain series in hydrogen, helium, and lithium. Application of our methods to other systems is prevented only by the lack of reliable input and comparison data.

Original language	English
Pages (from-to)	59-66
Number of pages	8
Journal	International Journal of Quantum Chemistry
Volume	14
Issue number	12 S
DOIs	https://doi.org/10.1002/qua.560140805
State	Published - 1978
Externally published	Yes

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title = "Pad{\'e} approximant formulas for atomic oscillator strengths",

abstract = "Interpolation formulas, having functional forms inspired by Pad{\'e} approximants, and containing at most three parameters, have been derived for a number of atomic oscillator strengths. It is shown that very accurate results are obtained both for specific transitions in the helium and lithium isoelectronic sequences, and for certain series in hydrogen, helium, and lithium. Application of our methods to other systems is prevented only by the lack of reliable input and comparison data.",

author = "M. Cohen and Mceachran, \{R. P.\}",

year = "1978",

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AB - Interpolation formulas, having functional forms inspired by Padé approximants, and containing at most three parameters, have been derived for a number of atomic oscillator strengths. It is shown that very accurate results are obtained both for specific transitions in the helium and lithium isoelectronic sequences, and for certain series in hydrogen, helium, and lithium. Application of our methods to other systems is prevented only by the lack of reliable input and comparison data.

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VL - 14

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JO - International Journal of Quantum Chemistry

JF - International Journal of Quantum Chemistry

IS - 12 S

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Padé approximant formulas for atomic oscillator strengths

Abstract

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