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Updated: Jun 16, 2026

Controlled Strain of 3D Hydrogels under Live Microscopy Imaging
Published on: December 4, 2020
Enhanced climbing image nudged elastic band method with Hessian eigenmode alignment.
Rohit Goswami1,2, Miha Gunde2,3, Hannes Jónsson2
1Institute IMX and Lab-COSMO, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland.
This study introduces an adaptive hybrid algorithm combining climbing image nudged elastic band (CI-NEB) and minimum mode following (MMF) methods for faster transition state calculations. This approach significantly reduces computational costs for identifying atomic rearrangements in chemical discovery.
Area of Science:
- Computational Chemistry
- Materials Science
- Chemical Physics
Background:
- Accurate transition state determination is crucial for understanding reaction kinetics.
- Existing methods like CI-NEB and MMF have limitations in computational cost, convergence, and relevance of identified saddle points.
- High-throughput automated chemical discovery requires efficient methods for mapping atomic rearrangements.
Purpose of the Study:
- To develop and benchmark an adaptive hybrid algorithm that integrates CI-NEB and MMF methods.
- To achieve faster and more reliable convergence to relevant saddle points for transition state calculations.
- To reduce the computational expense associated with identifying atomic rearrangements.
Main Methods:
- An adaptive hybrid algorithm switching between CI-NEB and MMF methods was developed.
- The algorithm was benchmarked on the Baker-Chan saddle point test set and the OptBench set (heptamer island on Pt (111)).
- A PET-MAD machine-learned potential was used for the calculations.
Main Results:
- The hybrid method demonstrated a median reduction of 57% in energy and force calculations for the BC set and 31% for the heptamer island transitions, compared to CI-NEB.
- A simple switching strategy (CI-NEB to MMF below 0.5 eV/Å) required 46% more force calculations than OCI-NEB.
- Bayesian analysis confirmed the efficiency gains of the adaptive hybrid approach.
Conclusions:
- The adaptive hybrid method offers a highly efficient alternative for transition state calculations.
- This approach can accelerate high-throughput automated chemical discovery of atomic rearrangements.
- The integration of CI-NEB and MMF provides a robust and computationally economical solution.
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