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Understanding Isotope Substitution Effects in Water Using the Potential Energy Landscape Formalism for Quantum
Ali Eltareb1,2, Yang Zhou1,2, Gustavo E Lopez3,4
1Department of Physics, Brooklyn College of the City University of New York, Brooklyn, New York 11210, United States.
Isotope substitution in water (H, D, T) alters the shape of potential energy landscape basins, not the minima themselves. This explains variations in water isotope properties and confirms the landscape
Area of Science:
- Physical Chemistry
- Computational Chemistry
- Statistical Mechanics
Background:
- Isotope substitution significantly impacts water's thermodynamic, dynamic, and structural properties, especially at low temperatures.
- Understanding these effects is crucial for accurately modeling water behavior across various conditions.
Purpose of the Study:
- To rigorously describe H, D, and T isotope substitution effects in water using the potential energy landscape (PEL) formalism.
- To elucidate how isotopic changes influence the quantum and classical behavior of water molecules.
Main Methods:
- Path-integral (PI) computer simulations were performed for H2O, HDO, D2O, and T2O.
- Simulations covered temperatures from 200 to 400 K at a specific molar volume (18.0 cm³/mol).
- The potential energy landscape (PEL) formalism was applied to analyze the simulation data.
Main Results:
- The same potential energy minima (inherent structures, IS) were identified in the PEL of quantum and classical water and its isotopes.
- Isotope substitution primarily alters the curvature and shape of PEL basins, leading to wider basins with decreased atom delocalization (H2O → HDO → D2O → T2O).
- Thermodynamic analysis showed that different isotopes sample PELs with varying curvatures at a given temperature, explaining property variations.
Conclusions:
- The PEL formalism provides an intuitive and rigorous framework for understanding isotopic effects in quantum liquids.
- The topography of the PEL dictates the system's dynamics (molecular diffusion), as evidenced by the continued validity of the Adam-Gibbs relation for all isotopes.
- Isotope substitution in water affects the dynamics and thermodynamics by modifying the PEL's basin shapes around inherent structures.
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