Competing quantum effects in the free energy profiles and diffusion rates of hydrogen and deuterium molecules through clathrate hydrates

TL;DR

This study uses quantum simulations to analyze how competing quantum effects influence hydrogen and deuterium diffusion rates in clathrate hydrates across various temperatures, revealing a crossover from tunneling dominance to zero-point energy effects.

Contribution

It provides a detailed quantum mechanical analysis of hydrogen isotope diffusion in clathrate hydrates, highlighting the impact of quantum effects on free-energy profiles and diffusion rates.

Findings

Quantum effects significantly alter free-energy barriers and diffusion rates.

Tunneling dominates at low temperatures, increasing quantum diffusion rates.

Zero-point energy reduces diffusion rates at higher temperatures.

Abstract

Clathrate hydrates hold considerable promise as safe and economical materials for hydrogen storage. Here we present a quantum mechanical study of H$_2$ and D$_2$ diffusion through a hexagonal face shared by two large cages of clathrate hydrates over a wide range of temperatures. Path integral molecular dynamics simulations are used to compute the free-energy profiles for the diffusion of H$_2$ and D$_2$ as a function of temperature. Ring polymer molecular dynamics rate theory, incorporating both exact quantum statistics and approximate quantum dynamical effects, is utilized in the calculations of the H$_2$ and D$_2$ diffusion rates in a broad temperature interval. We find that the shape of the quantum free-energy profiles and their height relative to the classical free energy barriers at a given temperature, as well as the rate of diffusion, are profoundly affected by competing quantum effects: above 25 K, zero-point energy (ZPE) perpendicular to the reaction path for diffusion between cavities decreases the quantum rate compared to the classical rate, whereas at lower temperatures tunneling outcompetes the ZPE and as result the quantum rate is greater than the classical rate.