English

Towards Complementary Characterization of the Chemical Bond

Strongly Correlated Electrons 2022-11-01 v1 Atomic and Molecular Clusters Chemical Physics Quantum Physics

Abstract

A precise discussion of a single bond requires consideration of two-particle wave function for the particles involved. Here we define and determine rigorously the intrinsic covalency and connected characteristics on the canonical example of \ch{H2} molecule. This is achieved by starting from analytic form for the two--particle wave function for electrons forming the bond, in which we single out the atomic contribution (\textit{atomicity}) in an unequivocal manner. The presence the of atomicity and ionicity factors complements the existing attributes of the bond. In this way, a gradual evolution of the molecular state to its two-atomic correspondant is traced systematically with increasing interatomic distance. In effect, a direct relation to the onset of incipient Mott-Hubbard atomicity (\textit{Mottness}) to the intrinsic covalency and ionicity is established. This goal is achieved by combining the single--particle wave function readjustment with a simultaneous determination of two--particle states in the particle (second--quantization) representation.

Keywords

Cite

@article{arxiv.2209.00336,
  title  = {Towards Complementary Characterization of the Chemical Bond},
  author = {Maciej Hendzel and Maciej Fidrysiak and Józef Spałek},
  journal= {arXiv preprint arXiv:2209.00336},
  year   = {2022}
}