Self-similarity electron configuration

Experiments on noble metal clusters (Cun, AgN, Aun) indicate the existence of shell-effects, similar to those observed in alkali clusters. These are reflected in the mass spectrum [10] and in the variations of the ionization potential with N. The shell-closing numbers are the same as for alkali metals, that is N = 2,S,20,40, etc. Cu, Ag and Au atoms have an electronic configuration of the type nd °(n + l)s so the DFT jellium model explains the magic numbers if we assume that the s electrons (one per atom) move within the self-consistent, spherically symmetric, effective jellium potential. 

It is also known as self-similarity, a concept which is intimately related to the golden ratio, and known to operate on a cosmic scale. Our observations may therefore be rationalized by considering elementary matter as the product of large-scale space-time curvature, as described by the golden ratio. We reach the provocative conclusion that a construct, which is entirely governed by the properties of the golden ratio and number theory, predicts the electronic configuration of all atoms, without reference to any chemical know-how, as a basis of a chemical theory. 

Another class of methods uses more than one Slater determinant as the reference wave function. The methods used to describe electron correlation within these calculations are similar in some ways to the methods listed above. These methods include multiconfigurational self-consistent field (MCSCF), multireference single and double configuration interaction (MRDCI), and /V-clcctron valence state perturbation theory (NEVPT) methods.5... 

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