The Long and Short Radii for Hydrogen in Hydrogen Bonded Complexes
Abhishek Shahi1, Elangannan Arunan2
1Department of Chemistry, GITAM (Deemed to be University), Bangalore, Karnataka, India.
Journal of Computational Chemistry
|January 9, 2026
Summary
Hydrogen atoms are elliptical, not spherical, impacting hydrogen bond identification. This study introduces directional hydrogen bond radii (HBR) for more accurate analysis.
Area of Science:
- Chemical Physics
- Crystallography
- Computational Chemistry
Background:
- Traditional hydrogen bond identification relies on comparing distances to van der Waals (vdW) radii or defined hydrogen bond radii (HBR).
- These methods unrealistically assume atoms behave as perfect spheres, potentially leading to inaccuracies in characterizing hydrogen bonds.
Purpose of the Study:
- To investigate the atomic structure of hydrogen in hydrogen bond complexes using electron density profiles.
- To challenge the spherical atom assumption in hydrogen bond distance calculations.
- To propose a more accurate, directional model for hydrogen bond radii (HBR).
Main Methods:
- Analysis of electron density profiles to determine the shape of hydrogen atoms in isolated HD molecules and A•••HulletulletulletD complexes.
- Quantum chemical calculations and Atoms in Molecules (AIM) theory to validate findings.
- Examination of hydrogen bonds in the CCDC database (OulletulletulletH•••N and NulletulletulletH•••N).
Main Results:
- Hydrogen atoms exhibit an elliptical shape, with the minor axis along the HulletulletulletD bond.
- Hydrogen bond radii (HBR) show angle dependence due to the anisotropic structure of hydrogen atoms in non-linear bonds.
- The study validates the utility of directional, environment-dependent short and long radii over spherical models.
Conclusions:
- The assumption of spherical atoms is inadequate for precise hydrogen bond analysis.
- Directional and environment-dependent hydrogen bond radii (HBR) are necessary for accurate identification.
- This research provides a more refined approach to understanding and quantifying hydrogen bonding interactions.
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