A Practicable Measure and Spatial Visualization of Steric repulsion with Atomic Resolution

12 August 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

Steric repulsion, often regarded as a macroscopic manifestation of the Pauli exclusion principle, which prevents electrons with the same spin from occupying the same space, is experiencing renewed interest across the field of chemistry. While its importance is widely recognized, visualizing where and how it occurs remains challenging. We introduce the Steric Exclusion Localization Function (SELF), a novel tool that reveals steric interactions in three dimensions, requiring only a single quantum calculation. With SELF, chemists can see exactly where steric clashes happen in their molecules, quantify their magnitude, and identify which atoms contribute mostly to them. SELF transforms abstract quantum mechanical concepts into intuitive 3D maps accessible through the user-friendly IGMPlot software. We demonstrate its power across diverse chemical systems: from understanding atropisomerism in pharmaceutical scaffolds to rationalizing selectivity in catalysis. Unlike traditional quantum mechanical methods that yield only numbers, SELF provides visual insights that organic chemists can immediately interpret and apply. This approach bridges the gap between theory and practical chemical understanding, making sophisticated quantum mechanical analysis accessible to the broader chemical community. We hope this tool will prove valuable for chemical design, research applications, and teaching steric effects.

Keywords

Steric
Pauli
Repulsion
Electron density
SELF

Supplementary materials

Title
Description
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Title
Electronic Supporting Information
Description
This Electronic Supporting Information contains comprehensive computational details including program specifications, mathematical derivations of the SELF atomic decomposition method with complete orbital expansion formulas, and detailed graphical representations of Pauli difference maps and kinetic energy excess contributions. Additional content includes extensive benchmark calculations examining basis set and functional dependencies, geometric parameters for all structures, rotational anisotropy analyses, and atropisomerism investigations through SELF analysis, providing full technical support for the methodology and findings presented in the main manuscript
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Title
Spatial Mapping of Steric Effects - Atropisomerism Animation
Description
This MP4 animation demonstrates the hindered rotation around a carbon-carbon bond for a representative molecule discussed in the main manuscript, providing a dynamic visualization of how steric repulsion evolves during the rotational motion. The animation allows readers to visually appreciate the spatial origins and magnitude of steric interactions as the molecular fragments rotate, offering an intuitive understanding of the repulsive forces that complement the static analyses presented in the article
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Supplementary weblinks

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