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• W2076563744 abstract "This article, considers in detail P. Gombás's idea of grouping electrons into n- and nl-shells in the Thomas–Fermi theory of free atoms briefly, the TFG n- and TFG nl-models respectively). Using these models, exact analytical expressions for the total energy E and the atomic form factor F(κ) are obtained. All integrals of the TFG nl-model are computed by means of the hypergeometric functions 2 F 1 (x), 3 F 2 (x), F 2 (x,y) and F A (x 1 ,…,x 6 ) for the first time. In particular, Weizsäcker's gradient correction to the kinetic energy of the nl-th shell [Formula: see text] generates a new numerical triangle [Formula: see text] with coefficients bw=n+2l(n-l-1)." @default.
• W2076563744 created "2016-06-24" @default.
• W2076563744 creator A5060346515 @default.
• W2076563744 date "2004-01-30" @default.
• W2076563744 modified "2023-09-27" @default.
• W2076563744 title "THE THOMAS–FERMI–GOMBÁS ATOM MODELS IN WHICH THE ELECTRONS ARE GROUPED INTO n- AND nl-SHELLS AND A CALCULATION OF THE ATOMIC FORM FACTOR" @default.
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• W2076563744 doi "https://doi.org/10.1142/s0217979204023933" @default.
• W2076563744 hasPublicationYear "2004" @default.
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