Reactive Force Field for P/Sn/I System: Atomistic Insight into the Early Stage of Black Phosphorus and Phosphorene Synthesis Process
Pith reviewed 2026-06-26 07:08 UTC · model grok-4.3
The pith
Iodine and density together control phosphorus recombination in early black phosphorus synthesis.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
A reactive force field for the P/Sn/I system was developed and applied in ReaxFF molecular dynamics simulations. The simulations demonstrate that iodine and density control phosphorus recombination: low density yields mostly atomic phosphorus, iodine addition increases clustering into PxIy motifs and transient ternary compounds, and high density produces condensed Hittorf-like phosphorus at cluster edges along with BP-like hexagons stabilized by iodine that may act as nucleation seeds.
What carries the argument
The ReaxFF parameters trained on QM bond dissociation curves, angle/torsion profiles, and tin condensed phase equation of state and clusters, used to run molecular dynamics that follow phosphorus transport and early clustering with Sn and I2 present.
If this is right
- Under low density atomic phosphorus dominates with minimal clustering.
- Adding I2 greatly increases P-P recombination and promotes formation of PxIy motifs and transient SnxPyIz compounds.
- Higher density favors larger Px clusters and growth of ternary SnxPyIz compounds that capture transported phosphorus.
- At the highest density the system produces condensed Hittorf-like phosphorus structures at the edges of SnxPyIz clusters along with BP-like hexagons stabilized by iodine.
Where Pith is reading between the lines
- The model implies that varying iodine concentration and total pressure could be used to tune the density of nucleation seeds in CVT growth.
- Transient ternary Sn compounds may act as carriers that enhance phosphorus transport efficiency beyond what binary P-I species provide.
- Iodine-stabilized BP hexagons point to a possible atomistic pathway for initiating 2D phosphorene layers rather than bulk crystals.
Load-bearing premise
The ReaxFF parameters fitted to quantum calculations on small systems transfer accurately to the high-temperature gas-phase and condensed-phase conditions of actual chemical vapor transport synthesis without further adjustment.
What would settle it
Mass spectrometry or in-situ spectroscopy from a CVT reactor showing no increase in PxIy or SnxPyIz intermediates when iodine is added at high density would falsify the claimed control mechanism.
read the original abstract
Black phosphorus and its two dimensional counterpart, phosphorene, are typically synthesized through chemical vapor transport using Sn and I2 additives. Chemical vapor deposition synthesis of phosphorene and allotropes is still yet not well understood. Investigating the atomistic mechanisms underlying phosphorus transport and early stage processes is difficult experimentally. In this study, a reactive force field for the PSnI system was developed and applied using ReaxFF based molecular dynamics to explore the early stage phase of the pre nucleation relevant to BP-phosphorene growth. The force field parameters were trained on a comprehensive quantum mechanical dataset covering bond dissociation, angle and torsion profiles, and tin condensed phase equation of state and cluster formation energies, showing strong agreement in both gas and condensed phases. We demonstrate that iodine and density together control phosphorus recombination. Under low density, atomic phosphorus dominates with minimal clustering. Adding I2 greatly increases P-P recombination, promotes the formation of PxIy motifs, and transient SnxPyIz compounds. Higher density systems favor the formation of larger Px clusters and support the development of ternary SnxPyIz compounds that grow by capturing transported phosphorus. At the highest density, the system produces condensed, Hittorf like phosphorus structures at the edges of SnxPyIz clusters, along with BP-like hexagons stabilized by iodine that may act as nucleation seeds. These results offer an atomistic view of transport and early stage steps in BP synthesis and provide a practical reactive model for studying growth conditions and additive effects in BP phosphorene vapor synthesis.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript develops a ReaxFF for the P/Sn/I system, trained on QM data for bond dissociations, angle/torsion profiles, Sn equation of state, and cluster energies. Reactive MD simulations are then used to examine early-stage phosphorus recombination in conditions relevant to chemical vapor transport synthesis of black phosphorus and phosphorene, concluding that I2 addition and system density together promote P-P clustering, PxIy motifs, transient SnxPyIz compounds, Hittorf-like phosphorus structures, and iodine-stabilized BP-like hexagons that may serve as nucleation seeds.
Significance. If the force field proves transferable, the work supplies a practical atomistic model for an experimentally inaccessible regime of BP/phosphorene growth and identifies concrete roles for the Sn/I2 additives that could guide synthesis optimization.
major comments (3)
- [Abstract] Abstract: the assertion of 'strong agreement' with the QM training set is unsupported by any quantitative error metrics (RMSE, MAE, or force errors), cross-validation statistics, or parity plots; without these, the reliability of the subsequent MD-derived clustering statistics cannot be assessed.
- [Methods/Results (force-field development)] Training and validation description: the reported training set covers bond dissociation curves, angle/torsion profiles, Sn EOS, and Sn clusters, yet the central mechanistic claims rest on PxIy and SnxPyIz species sampled in the reactive trajectories; no additional QM benchmarks or error analysis for these ternary clusters are supplied, leaving the transferability assumption untested.
- [Results (high-density regime)] High-density simulation results: the reported formation of Hittorf-like structures at cluster edges and iodine-stabilized BP-like hexagons as possible nucleation seeds is load-bearing for the nucleation-seed claim, but no comparison to experimental nucleation rates, CVT intermediates, or independent QM calculations on the observed motifs is provided.
minor comments (1)
- [Abstract] The phrase 'pre nucleation relevant' in the abstract should be hyphenated as 'pre-nucleation'.
Simulated Author's Rebuttal
We thank the referee for their thorough review and constructive comments. We address each of the major comments point-by-point below, indicating the revisions we plan to make to improve the manuscript.
read point-by-point responses
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Referee: [Abstract] Abstract: the assertion of 'strong agreement' with the QM training set is unsupported by any quantitative error metrics (RMSE, MAE, or force errors), cross-validation statistics, or parity plots; without these, the reliability of the subsequent MD-derived clustering statistics cannot be assessed.
Authors: We agree with this observation. The original manuscript lacked quantitative error metrics. In the revised manuscript, we will add RMSE, MAE for energies and forces, cross-validation results if applicable, and parity plots to quantitatively support the 'strong agreement' claim and allow assessment of the MD results' reliability. revision: yes
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Referee: [Methods/Results (force-field development)] Training and validation description: the reported training set covers bond dissociation curves, angle/torsion profiles, Sn EOS, and Sn clusters, yet the central mechanistic claims rest on PxIy and SnxPyIz species sampled in the reactive trajectories; no additional QM benchmarks or error analysis for these ternary clusters are supplied, leaving the transferability assumption untested.
Authors: While the training set includes relevant binary interactions (P-I, Sn-P, etc.) through bond curves and clusters, we acknowledge the absence of specific benchmarks for the ternary species observed in MD. We will perform additional QM calculations on selected PxIy and SnxPyIz structures from the trajectories and include error analysis in the revised methods and results sections to test transferability. revision: yes
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Referee: [Results (high-density regime)] High-density simulation results: the reported formation of Hittorf-like structures at cluster edges and iodine-stabilized BP-like hexagons as possible nucleation seeds is load-bearing for the nucleation-seed claim, but no comparison to experimental nucleation rates, CVT intermediates, or independent QM calculations on the observed motifs is provided.
Authors: We agree that additional validation would strengthen the nucleation-seed interpretation. Direct comparison to experimental nucleation rates is not feasible within this atomistic study without multi-scale approaches. However, we will add QM calculations on the stability of the Hittorf-like and BP-like motifs. We will also discuss connections to known CVT intermediates from literature. revision: partial
- Quantitative comparison to experimental nucleation rates, which would require experimental data or multi-scale modeling not available in this work.
Circularity Check
No significant circularity; ReaxFF fitted to external QM, MD outputs independent
full rationale
The paper trains ReaxFF parameters on an external QM dataset (bond dissociation, angles/torsions, Sn EOS and clusters) and reports agreement with that training data. The central claims about iodine/density controlling P recombination, PxIy motifs, SnxPyIz compounds, Hittorf-like structures and BP-like hexagons are outputs from subsequent MD trajectories under CVT-like conditions. These simulation results do not reduce by construction to the fitted quantities, nor rely on self-citation chains or renamed known results. The derivation chain is self-contained against the external QM benchmarks.
Axiom & Free-Parameter Ledger
free parameters (1)
- ReaxFF bond, angle, torsion, and van der Waals parameters for P-Sn-I interactions
axioms (2)
- domain assumption ReaxFF functional form and charge-equilibration scheme are adequate for describing P-P, P-I, Sn-P, and Sn-I bonding in both gas and condensed phases.
- domain assumption The QM dataset (bond dissociation, angle/torsion profiles, Sn EOS, cluster energies) sufficiently samples the relevant configurations for early-stage nucleation.
Reference graph
Works this paper leans on
-
[1]
Chemical vapor deposition synthesis of phosphorene and allotropes is still yet not well understood
1 Reactive Force Field for P/Sn/I system: Atomistic Insight into the Early- Stage of Black Phosphorus and Phosphorene Synthesis Process Djuric Brice Talonpa Tchoffo a, Ismail Benabdallah* a, Petr Neugebauer b, Anouar Belhboub c, Abdelouahad El Fatimy* a a College of Physical Sciences and Engineering, Mohammed VI Polytechnic University, Ben Guerir, 43150, ...
1914
-
[2]
While CVT allows for the formation of large crystals, issues such as secondary phases and limited control over the growth process persist
to promote BP growth. While CVT allows for the formation of large crystals, issues such as secondary phases and limited control over the growth process persist. Several studies have explored the mechanism of BP growth under CVT conditions to enhance both quality and yield. Key questions include: What role do additives play in BP growth? What are the most ...
2016
-
[3]
They found that iodine acts as a mineralizer, solubilizing phosphorus and supporting transport, while tin is crucial for crystallization. Other studies suggest that the final BP crystal forms via an intermediate called Hittorf's phosphorus (HP), and that the ternary clathrate (Sn 24P19.3I8) may act as a nucleation agent12–14. However, they concluded that ...
2021
-
[4]
They provided further insights through a combination of DFT calculations and thermodynamic analysis, suggesting that P4 and SnI2 are the dominant gas-phase species during phosphorene synthesis. Nonetheless, their conclusions rely on equilibrium -based approaches and reaction pathways modeled from structures optimized at 0K, making the formation mechanism ...
2023
-
[5]
In c hemical vapor deposition (CVD), reactions between precursors typically release species that are essential for the layer growth
In contrast, reactive molecular dynamics (ReaxFF -MD) can model large reactive systems at finite temperatures, making it especially useful for studying growth mechanisms and reaction pathways 18,19. In c hemical vapor deposition (CVD), reactions between precursors typically release species that are essential for the layer growth. As methane is used to rel...
2025
-
[6]
To obtain statistically robust insights into the system's reactive behavior , 10 independent MD simulations were conducted, each initialized with a unique random configuration
This threshold was used solely for post-processing analysis and did not influence the ReaxFF simulation. To obtain statistically robust insights into the system's reactive behavior , 10 independent MD simulations were conducted, each initialized with a unique random configuration. The results were then averaged over all replicas. RESULTS AND DISCUSSION A....
2025
-
[7]
(d) Snapshot of the equilibrated P/Sn/I2 system at 923K under high density (e)
Dynamics of formation of phosphorus clusters in P/Sn/I2 system under (a) Low density, (b) Medium density, (c) High density. (d) Snapshot of the equilibrated P/Sn/I2 system at 923K under high density (e). Snapshot of Sn xPyIz ternary compound at the end of the simulation of the P/Sn/I2 system under high density (f). Snapshot of the Hittorf-like phosphorus ...
2022
-
[8]
J.; Ge, Q.; Ou, X.; Wu, H.; Feng, D.; Chen, X
(4) Li, L.; Yu, Y.; Ye, G. J.; Ge, Q.; Ou, X.; Wu, H.; Feng, D.; Chen, X. H.; Zhang, Y. Black Phosphorus Field-Effect Transistors. Nat. Nanotechnol. 2014, 9 (5), 372–377. (5) Woomer, A. H.; Farnsworth, T. W.; Hu, J.; Wells, R. A.; Donley, C. L.; Warren, S. C. Phosphorene: Synthesis, Scale -up, and Quantitative Optical Spectroscopy. ACS Nano 2015, 9 (9), 8...
2014
-
[9]
A Stage -by-Stage Phase-Induction and Nucleation of Black Phosphorus from Red Phosphorus under Low -Pressure Mineralization
(14) Chen, Z.; Zhu, Y.; Lei, J.; Liu, W.; Xu, Y.; Feng, P. A Stage -by-Stage Phase-Induction and Nucleation of Black Phosphorus from Red Phosphorus under Low -Pressure Mineralization. CrystEngComm 2017, 19 (47), 7207–7212. (15) Khurram, M.; Sun, Z.; Zhang, Z.; Yan, Q. Chemical Vapor Transport Growth of Bulk Black Phosphorus Single Crystals. Inorg. Chem. F...
2017
-
[10]
C.; Tokumasu, T
23 (19) Uene, N.; Mabuchi, T.; Zaitsu, M.; Yasuhara, S.; van Duin, A. C.; Tokumasu, T. Reactive Force Field Molecular Dynamics Studies of the Initial Growth of Boron Nitride Using BCl3 and NH3 by Atomic Layer Deposition. J. Phys. Chem. C 2024, 128 (3), 1075–1086. (20) Van Duin, A. C.; Dasgupta, S.; Lorant, F.; Goddard, W. A. ReaxFF: A Reactive Force Field...
2024
-
[11]
J.; Aguirre, N
(25) Baerends, E. J.; Aguirre, N. F.; Austin, N. D.; Autschbach, J.; Bickelhaupt, F. M.; Bulo, R.; Cappelli, C.; van Duin, A. C.; Egidi, F.; Fonseca Guerra, C. The Amsterdam Modeling Suite. J. Chem. Phys. 2025, 162 (16). (26) Perdew, J. P. Generalized Gradient Approximation Made Simple. Phys Rev Lett 1997, 77,
2025
-
[12]
Precise Density -Functional Method for Periodic Structures
(27) Te Velde, G.; Baerends, E. Precise Density -Functional Method for Periodic Structures. Phys. Rev. B 1991, 44 (15),
1991
-
[13]
A Consistent and Accurate Ab Initio Parametrization of Density Functional Dispersion Correction (DFT -D) for the 94 Elements H-Pu
(28) Grimme, S.; Antony, J.; Ehrlich, S.; Krieg, H. A Consistent and Accurate Ab Initio Parametrization of Density Functional Dispersion Correction (DFT -D) for the 94 Elements H-Pu. J. Chem. Phys. 2010, 132 (15). (29) Xiao, H.; Shi, X.; Hao, F.; Liao, X.; Zhang, Y.; Chen, X. Development of a Transferable Reactive Force Field of P/H Systems: Application t...
2010
-
[14]
Synthesis and Ultrapurification of Tin Diiodide
(36) Brekhovskikh, M.; Mastryukov, M.; Kornev, P.; Gasanov, A.; Kovalenko, A.; Fedorov, V. Synthesis and Ultrapurification of Tin Diiodide. Inorg. Mater. 2019, 55 (9), 974–978. (37) Brauer, G. Handbook of Preparative Inorganic Chemistry V2; Elsevier, 2012; Vol
2019
-
[15]
24 (38) Kissami, I., Basmadjian, R., Chakir, O., & Abid, M. R. TOUBKAL: a high -performance supercomputer powering scientific research in Africa: I. Kissami et al. The Journal of Supercomputing. 2025 81(15),
2025
-
[16]
cov r3;Elp;Heat inc.;bo131;bo132;bo133;softcut;n.u
10.0000 !R_cut Eq(21): Upper Taper-radius 2.8793 !p_fe1 Eq(6a): Fe dimer correction 33.8667 !p_val6 Eq(13c): Valency undercoordination 6.0891 !p_lp1 Eq(8): Lone pair param 1.0563 !p_val9 Eq(13f): Valency angle exponent 2.0384 !p_val10 Eq(13g): Valency angle parameter 6.1431 !p_fe2 Eq(6a): Fe dimer correction 6.9290 !p_pen2 Eq(14a): Double bond/angle param...
arXiv 2000
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