Premium
Statistical representation of atomic systems structure. I. Total binding energy as a function of the relative information content
Author(s) -
Fraczak Marek
Publication year - 1984
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560250502
Subject(s) - representation (politics) , equivalence (formal languages) , total energy , binding energy , electron , set (abstract data type) , function (biology) , class (philosophy) , energy (signal processing) , content (measure theory) , atomic physics , physics , statistical physics , mathematics , chemistry , discrete mathematics , computer science , quantum mechanics , mathematical analysis , psychology , evolutionary biology , artificial intelligence , politics , political science , law , displacement (psychology) , psychotherapist , biology , programming language
A nonorbital representation of the many‐electron atomic systems is proposed. It is obtained by considering a certain equivalence class of mappings ƒ: ϵ → Π from the set ϵ of N electrons into the set Π of Z protons. Total binding energy of the systems ( Z = 3,4,…, 18; Z − N = k = 0, 1,…, 8) arranged according to the Periodic Table criterion, turns out to be the linear function of ZI r , where I r is an information functional related to our representation.