caa a22 4500 605488649 CHVBK 20210128100456.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s00214-015-1728-1 doi (NATIONALLICENCE)springer-10.1007/s00214-015-1728-1 Mezey Paul Scientific Modeling and Simulation Laboratory (SMSL), Department of Chemistry and Department of Physics and Physical Oceanography, Memorial University of Newfoundland, 283 Prince Philip Dr., A1B 3X7, St. John's, NF, Canada aut Relations between real molecules through abstract molecules: the reference cluster approach [Elektronische Daten] [Paul Mezey] Replacing integer atomic numbers representing nuclear charges by continuous variables has already provided some rigorous quantum chemical relations between real molecules, using a formal interpolation through non-physical abstract molecules of continuously varying nuclear charges. Extending this approach to the more general "universal molecule” model, where all discrete parameters of molecules are generalized and replaced by continuous variables, provides further relations, actually interconnecting all real molecules through abstract, non-physical "molecules,” involving, for example, non-integer number of electrons. One simplifying idea of this model is the so-called "reference cluster,” originally defined for isoelectronic systems of a fixed number N of nuclei, where each nucleus is replaced by a possibly fictive nucleus with a nuclear charge equal to the average of the N nuclear charges. Based on the earlier results, some new relations are derived interrelating energies and some other properties of some real molecules, and also providing a unifying framework for the utilization of both symmetry and energy relations of the universal molecule model. Springer-Verlag Berlin Heidelberg, 2015 Nuclear charge space nationallicence Electronic energy inequalities nationallicence Reference cluster nationallicence Universal molecule model nationallicence Theoretical Chemistry Accounts Springer Berlin Heidelberg 134/11(2015-11-01), 1-6 1432-881X 134:11<1 2015 134 214 https://doi.org/10.1007/s00214-015-1728-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00214-015-1728-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mezey Paul Scientific Modeling and Simulation Laboratory (SMSL), Department of Chemistry and Department of Physics and Physical Oceanography, Memorial University of Newfoundland, 283 Prince Philip Dr., A1B 3X7, St. John's, NF, Canada aut NATIONALLICENCE 773 0- Theoretical Chemistry Accounts Springer Berlin Heidelberg 134/11(2015-11-01), 1-6 1432-881X 134:11<1 2015 134 214