Periodic systems of N-atom molecules

A q-deformed Aufbau Prinzip

“…It is well-known [13][14][15][16][17][18][19][20][21] that the atomic building principle for neutral atoms corresponds to the series 1s ≪ 2s < 2p ≪ 3s < 3p ≪ 4s < 3d < 4p ≪ 5s < 4d < 5p ≪ 6s < 4f < 5d < 6p ≪ 7s < 5f < 6d · · ·…”

“…It is well-known [13][14][15][16][17][18][19][20][21] that the atomic building principle for neutral atoms corresponds to the series…”

Patterns of basic knowledge

“…In this scale, entities (atoms) and their properties ( Table 5 ) are relatively well understood and the number of entities in this scale is reasonably stable, albeit still expanding slowly, after a burst of discoveries in the last two centuries ( Scerri, 2019 ; Karol et al., 2016 ). Furthermore, attempts have been made recently to formulate periodic tables for diatomic and triatomic molecules ( Hefferlin and Kuhlman, 1980 ; Hefferlin et al., 1983 ; Kong and Wu, 2012 ) and periodicity in n-atomic molecules has also been contemplated ( Dias, 1984 ; Hefferlin, 2006 ). These works show that at lower molecular weight range, scales can be similarly defined as that for atoms.…”

Kronecker-Product Periodic Systems of Small Gas-Phase Molecules and the Search for Order in Atomic Ensembles of Any Phase

“…But should NO + be placed at CO or at N 2 ? Since the question has nothing to do with dissociation channels, both of these options were rejected and it was assumed that if a molecule having atoms with numbers Z 1 and Z 2 has positive charge q, then its address should be (Z 1 q/2,Z 2 q/2) [16,17].…”

“…If, in the development of the group-dynamic system, reducible representations of the group SO (4) SO (4) are used instead of irreducible representations; are suitably partitioned into combinations of s, p, d, and f groups; and are used with Eq. 1, then they reproduce the areas of the 9block system of diatomic molecules and give it a partial theoretical basis [17,35].…”