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Updated: Jul 18, 2026

Controlling the Size, Shape and Stability of Supramolecular Polymers in Water
Published on: August 2, 2012
Quantum mechanical size and steric hindrance.
Joshua W Hollett1, Aaron Kelly, Raymond A Poirier
1Department of Chemistry, Memorial University of Newfoundland, St. John's, NL A1B 3X7, Canada. jhollett@mun.ca
This study defines molecular size and shape using quantum mechanics. The new method accurately predicts molecular dimensions and steric effects, correlating well with established radii and computational volumes.
Area of Science:
- Quantum Chemistry
- Computational Chemistry
- Molecular Modeling
Background:
- Accurate definitions of molecular size and shape are crucial for understanding chemical properties and interactions.
- Existing methods for defining molecular dimensions have limitations in certain predictive contexts.
Purpose of the Study:
- To formulate a quantum mechanical definition of molecular size and shape.
- To establish a method invariant to the choice of origin.
- To validate the new definition against experimental and computational data.
Main Methods:
- Utilizing the electronic second moment of the Hartree-Fock wave function.
- Defining a shape tensor invariant with respect to the origin.
- Calculating the geometric average of the tensor's eigenvalues.
Main Results:
- The geometric average of eigenvalues shows strong correlation with van der Waals and Bragg-Slater radii.
- A linear relationship was found between the quantum mechanical size definition and computationally derived molecular volumes.
- The method effectively predicts substituent steric effects, comparable to existing models.
Conclusions:
- A robust quantum mechanical definition of molecular size and shape has been developed.
- This definition provides a reliable and accurate measure of molecular dimensions.
- The approach offers a valuable tool for predicting steric properties in molecular systems.
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