Atomic shell structure from the Single-Exponential Decay Detector.

Area of Science:

• Quantum Chemistry
• Computational Chemistry
• Atomic Physics

Background:

• Electron density analysis is crucial for understanding atomic and molecular structure.
• The Single-Exponential Decay Detector (SEDD) is a scalar field tool for analyzing mathematical properties of electron density.
• Previous studies indicate SEDD's utility in describing molecular bonding and atomic shells.

Purpose of the Study:

• To conduct a detailed analysis of atomic shells for atoms spanning the Li-Xe series using SEDD.
• To compare the effectiveness of SEDD in determining shell populations against the Electron Localization Function (ELF).
• To establish a physical interpretation for SEDD by linking it to the local wave vector.

Main Methods:

• Application of the Single-Exponential Decay Detector (SEDD) to analyze electron density in atomic systems.
• Calculation and comparison of atomic shell populations derived from SEDD and the Electron Localization Function (ELF).
• Derivation of a relationship between SEDD and the local wave vector to provide a physical basis for the detector.

Main Results:

• SEDD-based shell populations for Li-Xe atoms show strong agreement with the Aufbau principle.
• SEDD demonstrates superior accuracy in reflecting shell populations compared to the Electron Localization Function (ELF).
• A direct link between SEDD and the local wave vector was established, offering a physical interpretation of the scalar field.

Conclusions:

• The Single-Exponential Decay Detector (SEDD) is a highly effective tool for analyzing atomic shell structure.
• SEDD provides a more accurate representation of atomic shell populations than the widely used Electron Localization Function (ELF).
• The established physical interpretation of SEDD enhances its applicability in quantum chemical studies of electron density.