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Updated: Dec 22, 2025

Atomic Scale Structural Studies of Macromolecular Assemblies by Solid-state Nuclear Magnetic Resonance Spectroscopy
Published on: September 17, 2017
Exploring non-equilibrium molecular dynamics of mobile protons in the solid acid CsH2PO4 at the micrometer and
Christian Dreßler1, Gabriel Kabbe1, Martin Brehm1
1Institute of Chemistry, Martin Luther University Halle-Wittenberg, Von-Danckelmann-Platz 4, 06120 Halle (Saale), Germany.
We developed a multiscale Markov model to simulate proton dynamics in solid acid cesium dihydrogen phosphate (CsH2PO4) at the micrometer scale. This method enables quantitative analysis of proton diffusion and non-equilibrium processes.
Area of Science:
- Materials Science
- Computational Chemistry
- Solid-State Physics
Background:
- Proton dynamics in solid acids are crucial for energy applications.
- Simulating these dynamics at larger scales remains computationally challenging.
Purpose of the Study:
- To develop a multiscale method for simulating proton dynamics in CsH2PO4 at micrometer length scales.
- To enable the study of inhomogeneities and non-equilibrium processes in solid acids.
Main Methods:
- Developed the molecular dynamics/matrix propagation (MDM) method, a multiscale Markov model.
- Condensed molecular dynamics information into an M x M matrix, reducing complexity.
- Incorporated correlations between protonation states of neighboring sites.
Main Results:
- MDM method allows simulations at nanometer scales and millisecond timescales.
- Quantitative computation of atomistic features like mean square displacement and diffusion coefficient.
- Demonstrated application by simulating a non-equilibrium process in an 8 μm CsH2PO4 system.
Conclusions:
- The MDM method effectively simulates proton dynamics in CsH2PO4 at extended scales.
- This approach facilitates the study of complex proton transport phenomena in solid acids.
- The method conserves the Markov character while incorporating neighbor correlations.
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