Related Experiment Video
Updated: Mar 13, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
When are Many-Body Effects Significant?
John F Ouyang1, Ryan P A Bettens1
1Department of Chemistry, National University of Singapore , 3 Science Drive 3, Singapore 117543.
Abstract:
Many-body effects are required for an accurate description of both structure and dynamics of large chemical systems. However, there are numerous such interactions to consider, and it is not obvious which ones are significant. We provide a general and fast method for establishing which small set of three- and four-body interactions are important. This is achieved by estimating the maximum many-body effects, ϵmax, that can arise in a given arrangement of bodies. Through careful analysis of ϵmax, we find two overall causes for significant many-body interactions. First, many-body induction propagates in nonbranching paths, that is, in a chain-like manner. Second, linear arrangements of bodies promote the alignment of the dipoles to reinforce the many-body interaction. Consequently, compact and extended linear arrangements are favored. The latter result is not intuitive as these linear arrangements can lead to significant many-body effects extending over large distances. For the first time, this study provides a rigorous explanation as to how cooperative effects provide enhanced stability in helices making them one of the most common structures in biomolecules. Not only do these helices promote linear dipole alignment, but their chain-like structure is consistent with the way many-body induction propagates. Finally, using ϵmax to screen for significant many-body interactions, we are able to reproduce the total three- and four-body interaction energies using a small number of individual many-body interactions.
Related Concept Videos
Inductive Effects on Chemical Shift: Overview
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
π Electron Effects on Chemical Shift: Overview
Nuclear Overhauser Enhancement (NOE)
¹H NMR: Long-Range Coupling
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
Reduced Mass Coordinates: Isolated Two-body Problem

