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arxiv: 2606.01978 · v1 · pith:DV2L2J4Inew · submitted 2026-06-01 · ❄️ cond-mat.soft

Molecular-to-polymeric crossover in ion diffusion in glyme-based electrolytes: from vehicular to hopping transport

Aicha Jani , Simon Gravelle (LIPhy) , Pawel Wzietek , Mehdi Zeghal , Patrick Judeinstein This is my paper

Pith reviewed 2026-06-28 12:37 UTC · model grok-4.3

classification ❄️ cond-mat.soft
keywords glyme electrolytesion diffusionvehicular transporthopping transportPFG-NMRmolecular dynamicsPEOTFSI anion
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The pith

Glyme electrolytes switch ion transport from vehicular to hopping at chain length n≈8.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The work tracks cation and anion motion in glyme solvents whose chain length varies from one to 88 repeat units using NMR diffusion measurements, conductivity, and molecular dynamics. Below n≈8 ions move together with the solvent molecules in a correlated fashion. Above this length ions decouple from the slow polymer chains and instead hop by rapidly exchanging coordination sites inside a more static matrix. The change reduces ion clustering and increases the share of charge carried by anions.

Core claim

Combining PFG-NMR, conductivity measurements, and MD simulations across chain lengths from monoglyme to PEO with n up to 88, the work identifies a crossover at n ≈ 8. Short chains show vehicular ion motion with strong correlations, while longer chains feature ion transport via rapid coordination exchanges decoupled from slow polymer motion. The transition features less ion clustering and higher anion mobility, resulting in anion-dominated charge transport.

What carries the argument

The n ≈ 8 crossover separating vehicular ion transport, where ions move together with solvent molecules, from hopping transport, where ions exchange coordination shells rapidly inside a slowly relaxing polymer matrix.

If this is right

  • Short-chain (n<8) systems exhibit vehicular diffusion accompanied by pronounced ion correlations.
  • Longer-chain systems show ion transport by coordination exchanges that decouples from polymer motion.
  • Anion mobility increases relative to cations beyond the crossover, shifting charge transport toward anion dominance.
  • Ion clustering decreases with increasing chain length across the transition.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Formulations near n=8 may optimize the balance between high conductivity and mechanical stability in related electrolytes.
  • The same length-dependent crossover could appear in other ether-based or polymer electrolytes when solvation dynamics are similar.
  • Varying cation size or anion identity would test whether the crossover location remains near eight repeat units.

Load-bearing premise

The PFG-NMR diffusion coefficients, conductivity data, and MD trajectories all probe the same long-time regime and the observed break at n≈8 is not an artifact of finite chain-length sampling, force-field choice, or the specific cations studied.

What would settle it

Absence of a distinct change in the ratio of ion diffusion coefficient to polymer diffusion coefficient or in the degree of ion clustering when chain length is varied continuously through n=8 in additional cations or simulation models.

Figures

Figures reproduced from arXiv: 2606.01978 by Aicha Jani, Mehdi Zeghal, Patrick Judeinstein, Pawel Wzietek, Simon Gravelle (LIPhy).

Figure 1
Figure 1. Figure 1: FIG. 1: Left: Representative MD simulation snapshots of the [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: A) Self-diffusion coefficients from PFG-NMR for glyme [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: Characteristic times as a function of polymer chain [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: A) Ionic conductivity [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
read the original abstract

Ion transport in glyme-based electrolytes arises from a complex interplay between solvation structure, ion correlations, and polymer chain length. Here, combining pulsed-field gradient nuclear magnetic resonance (PFG-NMR), ionic conductivity measurements, and molecular dynamics (MD) simulations, we investigate the diffusion of monovalent cations (Li$^+$, Na$^+$, Cs$^+$) and TFSI$^-$ anions across a wide molecular-weight range, from monoglyme to long poly(ethylene oxide) (PEO) chains up to 4000~g/mol, corresponding to $n$ up to 88, where $n$ is the number of ethylene oxide repeat units. We identify a crossover region at $n \approx 8$ separating two transport regimes. For short chains, ion motion is consistent with a vehicular mechanism, accompanied by pronounced ion correlations. For longer chains, ion transport decouples from polymer motion and proceeds via rapid coordination exchanges within a slowly relaxing matrix. This transition is accompanied by reduced ion clustering and enhanced anion mobility, leading to increasingly anion-dominated charge transport. Overall, our results provide a molecular picture of ion transport across the molecular-to-polymeric transition and highlight the central role of solvation shell dynamics and polymer relaxation in governing ion dynamics in glyme-based electrolytes.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript combines PFG-NMR diffusion measurements, ionic conductivity data, and MD simulations to study monovalent cation (Li+, Na+, Cs+) and TFSI- transport in glyme solvents and PEO chains spanning n=1 to n=88. It reports a crossover near n≈8 separating a short-chain vehicular regime (with strong ion correlations) from a long-chain regime in which ion motion decouples from polymer relaxation and occurs via rapid coordination-shell exchanges, accompanied by reduced clustering and a shift toward anion-dominated conductivity.

Significance. If the reported crossover and mechanistic assignment hold after verification of the long-time regime, the work supplies a concrete molecular picture of the molecular-to-polymeric transition that is directly relevant to the design of glyme- and PEO-based battery electrolytes. The multi-technique approach (experiment plus simulation across three cations) is a strength.

major comments (2)
  1. [Methods and Results (simulation protocol and diffusion-coefficient extraction)] The central claim of a regime crossover at n≈8 and the subsequent decoupling of ion from polymer motion both rest on the assumption that PFG-NMR, conductivity, and MD all access the same long-time diffusive limit. The manuscript does not report a quantitative check (e.g., mean-squared-displacement linearity or convergence of diffusion coefficients with simulation length) for the longest chains where polymer relaxation times become comparable to or longer than accessible MD times; this directly affects the validity of the decoupling interpretation.
  2. [Results (diffusion vs. n plots and accompanying text)] The crossover location is stated as n≈8 without an explicit criterion (e.g., intersection of fitted lines, change in scaling exponent, or statistical test on the n-dependence of D_ion/D_polymer). Because the position of the break is load-bearing for the two-regime narrative, the lack of a reproducible definition weakens the claim that the transition is sharply located at this value rather than being an artifact of the sampled chain lengths or cation set.
minor comments (2)
  1. [Figures] Figure captions and axis labels should explicitly state the chain lengths or n values corresponding to each data series so that the location of the reported crossover can be verified by the reader without cross-referencing the methods.
  2. [Abstract] The abstract uses the phrase 'pronounced ion correlations' without a forward reference to the quantitative metric (e.g., Haven ratio, distinct van Hove function, or conductivity–diffusion discrepancy) that supports it in the main text.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments. We address each major point below and will revise the manuscript to strengthen the presentation of the simulation analysis and the definition of the crossover.

read point-by-point responses

  1. Referee: [Methods and Results (simulation protocol and diffusion-coefficient extraction)] The central claim of a regime crossover at n≈8 and the subsequent decoupling of ion from polymer motion both rest on the assumption that PFG-NMR, conductivity, and MD all access the same long-time diffusive limit. The manuscript does not report a quantitative check (e.g., mean-squared-displacement linearity or convergence of diffusion coefficients with simulation length) for the longest chains where polymer relaxation times become comparable to or longer than accessible MD times; this directly affects the validity of the decoupling interpretation.

    Authors: We agree that explicit verification of the long-time diffusive regime is necessary to support the decoupling claim. In the revised manuscript we will add representative MSD-versus-time plots for both short and long chains (including n=88), confirm linearity in the extracted regime, and tabulate the simulation lengths and fitting windows used for each system. Diffusion coefficients were obtained from the linear portion after at least 50 ns of production sampling; these details will now be documented. revision: yes

  2. Referee: [Results (diffusion vs. n plots and accompanying text)] The crossover location is stated as n≈8 without an explicit criterion (e.g., intersection of fitted lines, change in scaling exponent, or statistical test on the n-dependence of D_ion/D_polymer). Because the position of the break is load-bearing for the two-regime narrative, the lack of a reproducible definition weakens the claim that the transition is sharply located at this value rather than being an artifact of the sampled chain lengths or cation set.

    Authors: The n≈8 location was identified from the point at which ion diffusion coefficients cease to decrease with increasing n while polymer diffusion continues to slow, accompanied by a change in the scaling of D_ion with n. To make the assignment reproducible we will add, in the revision, power-law fits to the D versus n data on either side of the transition, report the n value at which the exponent changes from negative to near zero, and include the n-dependence of the D_ion/D_polymer ratio with a clear threshold used to mark the crossover. revision: yes

Circularity Check

0 steps flagged

No significant circularity; claims rest on independent observations

full rationale

The paper reports an empirical crossover at n≈8 identified from PFG-NMR diffusivities, conductivity measurements, and MD trajectories across a range of chain lengths. No derivation chain, equations, or fitted parameters are invoked that would reduce the reported regimes or crossover location to quantities defined in terms of themselves. The central claim is a direct comparison of measured observables and is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The abstract contains no mathematical derivations, fitted constants, or postulated entities; the work relies on standard experimental and simulation protocols whose assumptions are not enumerated here.

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