Periodic Constrained Nuclear-Electronic Orbital Density Functional Theory for Nuclear Quantum Effects: Method
1Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin-Madison, 1101 University Avenue, Madison, Wisconsin 53706, United States.
Journal of Chemical Theory and Computation
|August 11, 2025
Summary
We developed periodic constrained nuclear-electronic orbital density functional theory (CNEO-DFT) to accurately model quantum nuclei and electrons in materials. This method reveals new binding sites and enhances understanding of hydrogen mobility in catalysis.
Area of Science:
- Computational Chemistry
- Materials Science
- Quantum Mechanics
Background:
- Accurate modeling of nuclear quantum effects (NQEs) is crucial for understanding chemical processes in materials.
- Conventional DFT often neglects NQEs, limiting its predictive power for systems with light elements like hydrogen.
- Developing efficient methods to include NQEs in periodic calculations is an ongoing challenge.
Purpose of the Study:
- To introduce a periodic constrained nuclear-electronic orbital density functional theory (CNEO-DFT) capable of treating both electrons and nuclei quantum mechanically.
- To enable simultaneous quantum mechanical treatment of electrons and nuclei in extended systems at a cost comparable to conventional DFT.
- To investigate the impact of NQEs on hydrogen adsorption and mobility on metal surfaces.
Main Methods:
- Implementation of CNEO-DFT within the Gaussian-augmented plane wave framework of CP2K.
- Treatment of quantum nuclei as localized, distinguishable particles while their collective distribution satisfies periodicity.
- Application to hydrogen adsorption on Pt(111) and calculation of differential entropy.
Main Results:
- Predicted a shift in hydrogen binding site on Pt(111) from atop to fcc hollow due to zero-point energy effects.
- Captured subtle shallow tunneling effects, improving hydrogen mobility predictions.
- Demonstrated excellent agreement with fully quantum reference calculations for differential entropy between 500-800 K.
- Included analytic gradients for geometry optimization and molecular dynamics.
Conclusions:
- Periodic CNEO-DFT provides an accurate and efficient framework for incorporating nuclear quantum effects in extended materials.
- The method is particularly valuable for studying hydrogen chemistry in surfaces, interfaces, and bulk materials.
- This advancement opens new avenues for computational materials design and catalysis research.
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