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arxiv: 2412.19615 · v1 · submitted 2024-12-27 · ⚛️ physics.chem-ph · cond-mat.mtrl-sci

The Key Steps and Distinct Performance Trends of Pyrrolic vs. Pyridinic M-N-C Catalysts in Electrocatalytic Nitrate Reduction

Qiuling Jiang , Mingyao Gu , Tianyi Wang , Fangzhou Liu , Xin Yang , Di Zhang , Zhijian Wu , Ying Wang
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Li Wei Hao Li
This is my paper

Pith reviewed 2026-05-23 07:32 UTC · model grok-4.3

classification ⚛️ physics.chem-ph cond-mat.mtrl-sci
keywords M-N-C catalystsnitrate reductionammonia synthesispyrrolic coordinationpyridinic coordinationrate-determining stepmicrokinetic modelingscaling relations
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The pith

M-N-Pyrrolic catalysts reach higher turnover frequencies for ammonia from nitrate than M-N-Pyridinic catalysts, with nitrate adsorption and protonation as the rate-determining step.

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

The paper analyzes reported experimental data on metal-nitrogen-carbon catalysts for the electrochemical nitrate reduction reaction and applies pH-field coupled microkinetic modeling on the reversible hydrogen electrode scale. It finds that pyrrolic coordination produces higher turnover frequencies for ammonia while pyridinic coordination spans a wider activity range on the volcano plot. The adsorption and protonation of nitrate is shown to be the rate-determining step, a step often overlooked in earlier work. A classical thermodynamic limiting-potential model proves insufficient to explain the observed rate-determining step or the performance differences between the two coordination types. Experimental tests under neutral and alkaline conditions match the modeled trends and supply design rules for ammonia synthesis catalysts.

Core claim

Through systematic analysis of reported experimental data and pH-field coupled microkinetic modelling on the RHE scale, M-N-Pyrrolic catalysts demonstrate higher turnover frequencies for ammonia production, whereas M-N-Pyridinic catalysts exhibit broader activity ranges across the activity volcano plot. The adsorption and protonation of nitrate is identified to be the rate-determining step in NO3RR. A classical thermodynamic limiting-potential model is not sufficiently accurate to capture the RDS and the catalytic performance trends of different materials even on M-N-Pyrrolic and M-N-Pyridinic catalysts.

What carries the argument

Coordination-dependent scaling relations governed by metal-intermediate interactions, extracted from pH-field coupled microkinetic modelling on the RHE scale.

If this is right

  • M-N-Pyrrolic catalysts achieve higher turnover frequencies for ammonia production than M-N-Pyridinic catalysts.
  • M-N-Pyridinic catalysts maintain activity over a broader range of the activity volcano plot.
  • Nitrate adsorption and protonation controls the overall rate in NO3RR for both coordination types.
  • Classical thermodynamic limiting-potential models fail to reproduce the observed rate-determining step or the coordination-specific performance trends.
  • Experimental validation under neutral and alkaline conditions confirms the modeled differences.

Where Pith is reading between the lines

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

  • Catalyst synthesis routes that favor pyrrolic nitrogen coordination should be prioritized when high ammonia production rates are the target.
  • The same coordination-dependent scaling may govern activity in related nitrogen-reduction or nitrogen-oxidation reactions on M-N-C materials.
  • Screening protocols for new M-N-C catalysts would benefit from replacing limiting-potential approximations with microkinetic models that treat nitrate adsorption explicitly.
  • Further tests at additional pH values could test whether the identified rate-determining step remains dominant outside the neutral-to-alkaline window already examined.

Load-bearing premise

The systematic analysis of previously reported experimental data combined with pH-field coupled microkinetic modelling on the RHE scale correctly identifies the coordination-dependent scaling relations and the rate-determining step without post-hoc parameter adjustments.

What would settle it

A direct measurement of the nitrate adsorption-protonation kinetics on a well-characterized M-N-Pyrrolic or M-N-Pyridinic surface that shows the step is not rate-limiting or that the predicted turnover-frequency ordering is reversed.

Figures

Figures reproduced from arXiv: 2412.19615 by Di Zhang, Fangzhou Liu, Hao Li, Li Wei, Mingyao Gu, Qiuling Jiang, Tianyi Wang, Xin Yang, Ying Wang, Zhijian Wu.

Figure 1
Figure 1. Figure 1: Analysis of Reported Experimental Performance of Electrocatalytic Nitrate Reduction (NO3RR) to Ammonia on >60 M-N-C Catalysts. (a) Alkaline conditions. (b) Neutral conditions. Detailed information on the M-N-C catalyst performance for NO3RR across the full pH range is provided in Table S1. All the source data are available in our Digital Catalysis Platform (DigCat) database: https://www.digcat.org/. Motiva… view at source ↗
Figure 2
Figure 2. Figure 2: , with detailed elementary steps and three possible reaction routes (Path 1-3) provided in the Supporting Information Section 2.6 [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: Potential of Zero Charges (PZCs) and Electric Field Effects. Calculated UPZC values for (a) M￾N-Pyrrolic and (b) M-N-Pyridinic structures (M = Fe, Co, Ni, and Cu) using the explicit solvent models. The UPZC distributions were derived from >1,000 steps of catalyst-water interfaces from ab initio molecular dynamics (AIMD) simulations. Insets: typical configuration of explicit water molecules on Fe-N4-Pyrroli… view at source ↗
Figure 5
Figure 5. Figure 5: pH-Dependent Microkinetic Modelling of NO3RR on M-N-C Catalysts. pH-dependent activity volcano models for NO3RR to ammonia at U = -0.6 VRHE on (a) M-N-Pyrrolic and (b) M-N-Pyridinic catalysts. Rate-determining step (RDS) analyses of NO3RR in alkaline conditions for (c) M-N-Pyrrolic and (d) M-N￾Pyridinic catalysts. (e) pCOHP analysis of the metal site (Co) and N (*NO2H) interaction on Co-N4-Pyrrolic and Co-… view at source ↗
read the original abstract

Electrochemical nitrate reduction reaction(NO3RR)offers a sustainable route for ambient ammonia synthesis. While metal-nitrogen-carbon (M-N-C) single-atom catalysts have emerged as promising candidates for NO3RR, the structure-activity relations underlying their catalytic behavior remain to be elucidated. Through systematic analysis of reported experimental data and pH-field coupled microkinetic modelling on a reversible hydrogen electrode (RHE) scale, we reveal that the coordination-dependent activity originates from distinct scaling relations governed by metal-intermediate interactions. M-N-Pyrrolic catalysts demonstrate higher turnover frequencies for ammonia production, whereas M-N-Pyridinic catalysts exhibit broader activity ranges across the activity volcano plot. Meanwhile, the adsorption and protonation of nitrate, which is a step often dismissed and/or assumed to be simultaneous in many previous reports, is identified to be the rate-determining step (RDS) in NO3RR. Remarkably, our subsequent experimental validation confirms the theoretical predictions under both neutral and alkaline conditions. This study offers a comprehensive mechanistic framework for interpreting the electrocatalytic activity of M-N-C catalysts in NO3RR, showing that a classical thermodynamic limiting-potential model is not sufficiently accurate to capture the RDS and the catalytic performance trends of different materials (even on M-N-Pyrrolic and M-N-Pyridinic catalysts). These findings provide brand new insights into the reaction mechanism of NO3RR and establish fundamental design principles for electrocatalytic ammonia synthesis.

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 claims that systematic analysis of previously reported experimental data, combined with pH-field coupled microkinetic modeling on the RHE scale, identifies coordination-dependent scaling relations in M-N-C catalysts for NO3RR. M-N-Pyrrolic catalysts show higher turnover frequencies for NH3 production while M-N-Pyridinic catalysts exhibit broader activity ranges on the volcano plot. Nitrate adsorption and protonation is identified as the rate-determining step, and the classical thermodynamic limiting-potential model is shown to be insufficient to capture the RDS and performance trends. Subsequent experimental validation under neutral and alkaline conditions is reported to confirm the predictions.

Significance. If the modeling results and their independence from input-data choices hold, the work would establish a mechanistic framework distinguishing pyrrolic versus pyridinic coordination effects, demonstrate the necessity of microkinetic over purely thermodynamic models for NO3RR, and supply design principles for M-N-C ammonia-synthesis catalysts. The combination of literature-data mining with explicit pH-field coupling on the RHE scale is a notable technical strength.

major comments (2)
  1. [Abstract / modeling section] Abstract and modeling section: the central claim that nitrate adsorption/protonation is the RDS and that pyrrolic/pyridinic activity ordering emerges without post-hoc adjustments rests on scaling relations fitted to heterogeneous literature data. No explicit sensitivity test is described that varies the input dataset selection, error bars, or pH/field parameterization to confirm that the RDS assignment and relative performance ordering remain unchanged.
  2. [modeling section] The assertion that the classical limiting-potential model fails to capture trends is load-bearing, yet the manuscript does not quantify how much the microkinetic predictions deviate from the thermodynamic model when the same scaling relations are used, nor does it show that this deviation is independent of the particular experimental points chosen for fitting.
minor comments (2)
  1. Clarify the exact experimental conditions (catalyst loading, electrolyte composition, reference electrode calibration) used in the validation experiments to ensure they are independent of the literature dataset employed for the scaling relations.
  2. Provide the numerical values of the fitted scaling-relation slopes and intercepts together with their uncertainties so that readers can assess robustness.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments and for recognizing the technical strengths of combining literature-data mining with pH-field-coupled microkinetic modeling on the RHE scale. We address each major comment below and will incorporate the requested robustness checks into the revised manuscript.

read point-by-point responses

  1. Referee: [Abstract / modeling section] Abstract and modeling section: the central claim that nitrate adsorption/protonation is the RDS and that pyrrolic/pyridinic activity ordering emerges without post-hoc adjustments rests on scaling relations fitted to heterogeneous literature data. No explicit sensitivity test is described that varies the input dataset selection, error bars, or pH/field parameterization to confirm that the RDS assignment and relative performance ordering remain unchanged.

    Authors: We agree that an explicit sensitivity analysis would strengthen the manuscript. Although the scaling relations were obtained from a broad compilation of reported experimental data, the original submission did not include a dedicated sensitivity section. In the revision we will add a new subsection (and associated supplementary figures) that (i) refits the scaling relations to random 70 % subsets of the dataset, (ii) propagates the reported experimental error bars through the fitting procedure, and (iii) varies the pH and field parameters within the ranges spanned by the neutral-to-alkaline experiments. These tests will be used to verify that nitrate adsorption/protonation remains the RDS and that the pyrrolic versus pyridinic activity ordering is preserved. revision: yes

  2. Referee: [modeling section] The assertion that the classical limiting-potential model fails to capture trends is load-bearing, yet the manuscript does not quantify how much the microkinetic predictions deviate from the thermodynamic model when the same scaling relations are used, nor does it show that this deviation is independent of the particular experimental points chosen for fitting.

    Authors: We acknowledge that a quantitative side-by-side comparison is needed. In the revised manuscript we will add a direct comparison (new main-text figure and supplementary tables) that evaluates both the microkinetic and thermodynamic limiting-potential models on identical scaling relations. Deviation metrics (e.g., mean absolute error in predicted TOF and shift in volcano peak position) will be reported. To demonstrate independence from the choice of fitting points, the same comparison will be repeated on multiple random subsets of the experimental data; the magnitude of the improvement provided by the microkinetic treatment and the identification of the RDS will be shown to remain consistent across these subsets. revision: yes

Circularity Check

1 steps flagged

Scaling relations and RDS extracted from literature dataset via microkinetic model, then used to explain trends in same data

specific steps
  1. fitted input called prediction [Abstract]
    "Through systematic analysis of reported experimental data and pH-field coupled microkinetic modelling on a reversible hydrogen electrode (RHE) scale, we reveal that the coordination-dependent activity originates from distinct scaling relations governed by metal-intermediate interactions. M-N-Pyrrolic catalysts demonstrate higher turnover frequencies for ammonia production, whereas M-N-Pyridinic catalysts exhibit broader activity ranges across the activity volcano plot. Meanwhile, the adsorption and protonation of nitrate, which is a step often dismissed and/or assumed to be simultaneous in any"

    Scaling relations and the assignment of nitrate adsorption/protonation as RDS are derived directly from fitting/analyzing the reported experimental dataset with the microkinetic model; the activity trends between coordinations are then presented as originating from those relations. Because the input data already encodes the observed performance differences, the 'revelation' of distinct scaling and the volcano ordering reduces to a reorganization of the same inputs rather than an independent derivation.

full rationale

The paper's central mechanistic claims (distinct scaling relations for pyrrolic vs. pyridinic, nitrate adsorption/protonation as RDS, and resulting activity ordering) are obtained by systematic analysis of previously reported experimental data fed into a pH-field coupled microkinetic model. This step risks making the 'predictions' and volcano trends a direct restatement of patterns already present in the heterogeneous input dataset. The subsequent experimental validation provides partial independence, but the load-bearing identification of scaling and RDS occurs prior to that validation and is not shown to be insensitive to choices in data aggregation or model parameterization. No self-citation chains or self-definitional equations are evident from the provided text.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claims rest on the validity of scaling relations extracted from literature data and on the assumption that the microkinetic model on the RHE scale faithfully represents the experimental conditions without additional fitted constants that would make the RDS identification circular.

free parameters (1)
  • scaling relation slopes and intercepts
    Derived from metal-intermediate interactions in the microkinetic model; likely fitted or taken from literature data analysis.
axioms (1)
  • domain assumption pH-field coupled microkinetic modelling on RHE scale accurately captures the coordination-dependent activity
    Invoked to identify the RDS and activity trends.

pith-pipeline@v0.9.0 · 5832 in / 1518 out tokens · 27253 ms · 2026-05-23T07:32:41.480280+00:00 · methodology

discussion (0)

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Reference graph

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