Empirical Quadratic Scaling of Static Dipole Polarizability in Noble Gas Atoms
Year: 2026
Type: preprint
Abstract: This work presents an empirical analysis of static dipole polarizability scaling in noble gas atoms from helium to radon. Using experimental reference data, a phenomenological relationship of the form α ∝ n² is identified, where n represents the principal quantum number of the outer electronic shell. The observed scaling provides a strong empirical fit across the noble gas series and differs substantially from simple hydrogenic scaling expectations. Statistical analysis yields an optimal exponent close to p ≈ 2, suggesting the presence of effective screening and closed-shell correlation effects that may suppress higher-order scaling behavior. The study is intended as an exploratory phenomenological observation rather than a derivation from first principles. Possible implications for atomic response theory, electron correlation, and closed-shell electronic structure are briefly discussed.
Author: Neil Edickson Suárez Arévalo
Language: English
Topic: Atomic and Molecular Physics
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7161171865
Cites:
Cited by:
Related to: