journal article·2026-07-01Open access

Unveiling the structure and dynamic properties of NaCl aqueous solutions across wide concentration and temperature ranges: Insights from deep potential molecular dynamics

Xiangrui Meng, Zemeng Feng, Xiaorong Shi, Yu Zhang, Fayi Wan, Na Zheng, Yemin Gu, Kui Xu

AIP Advances· Volume 16· Issue 7

Abstract

Understanding the local structure and dynamic properties of electrolyte solutions under different thermodynamic conditions is essential to advancing electrochemical systems. Here, we employed a deep potential molecular dynamics method, trained on first-principles data, to investigate aqueous sodium chloride solutions within a concentration range of 1.2–6.0 M and a temperature range of 270–350 K. Our results demonstrate satisfactory accuracy in reproducing first-principles structural and dynamic features. Our detailed analysis revealed the concentration dependence of the ionic hydration shell layer, the solvent hydrogen bonding network, and the ionic pairing behavior. We also quantified the changes in ionic diffusion coefficients, water residence time, and ionic conductivity under different conditions. Our results validate deviations from ideal Stokes–Einstein and Nernst–Einstein relationships at high concentrations and capture Arrhenius temperature dependence of ion diffusion. This study confirms the predictive power of machine learning potential models in electrolyte systems and provides an important theoretical basis for ion–solvent interactions, which are crucial in electrochemical modeling.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Spectroscopy and Quantum Chemical Studies · Chemical and Physical Properties in Aqueous Solutions · Machine Learning in Materials Science

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

State Key Laboratory of Flexible Electronics (LoFE) & Institute of Advanced Materials (IAM), School of Flexible Electronics (Future Technologies), Nanjing Tech University (NanjingTech) , Nanjing 211816,

Funding

National Science and Technology Major Project · National Natural Science Foundation of China

References (89)

Show source-provided references
1. Molecular dynamics simulations of aqueous NaCl solutions at high pressures and temperatures10.1016/s0009-2541(98)00066-7 ↗
2. A structural study of saturated aqueous solutions of some alkali halides by x-ray diffraction10.1007/bf00648978 ↗
3. Neutron and x-ray diffraction studies of concentrated aqueous electrolyte solutions10.1039/pc9797600185 ↗
4. A neutron diffraction study of hydration effects in aqueous solutions10.1088/0022-3719/10/11/014 ↗
5. Near-IR spectroscopic determination of NaCl in aqueous solution10.1366/0003702924123539 ↗
6. IR spectroscopy of aqueous alkali halide solutions: Pure salt-solvated water spectra and hydration numbers10.1063/1.1337047 ↗
7. Dynamics of aqueous electrolyte solutions: Challenges for simulations10.1021/acs.jpcb.2c07477 ↗
8. Mechanisms of acceleration and retardation of water dynamics by ions10.1021/ja405201s ↗
9. A force field of Li+, Na+, K+, Mg2+, Ca2+, Cl−, and SO42− in aqueous solution based on the TIP4P/2005 water model and scaled charges for the ions10.1063/1.5121392 ↗
10. Scaled charges for ions: An improvement but not the final word for modeling electrolytes in water10.1063/5.0136498 ↗
11. Computation of electrical conductivities of aqueous electrolyte solutions: Two surfaces, one property10.1021/acs.jctc.3c00562 ↗
12. Simulations of activities, solubilities, transport properties, and nucleation rates for aqueous electrolyte solutions10.1063/5.0012102 ↗
13. Revisiting the hydration structure of aqueous Na+10.1063/1.4975608 ↗
14. Quantifying the hydration structure of sodium and potassium ions: Taking additional steps on Jacob’s Ladder10.1039/c9cp06161d ↗
15. Local and global effects of dissolved sodium chloride on the structure of water10.1021/acs.jpclett.7b00239 ↗
16. Ab initio simulations of water/metal interfaces10.1021/acs.chemrev.1c00679 ↗
17. Hydrogen-bond structure dynamics in bulk water: Insights from ab initio simulations with coupled cluster theory10.1039/c7sc04205a ↗
18. Ab initio molecular dynamics: Concepts, recent developments, and future trends10.1073/pnas.0500193102 ↗
19. High-dimensional neural network potential for liquid electrolyte simulations10.1021/acs.jpcb.2c03746 ↗
20. Transferable neural network potential energy surfaces for closed-shell organic molecules: Extension to ions10.1021/acs.jctc.1c00821 ↗
21. Four generations of high-dimensional neural network potentials10.1021/acs.chemrev.0c00868 ↗
22. First principles neural network potentials for reactive simulations of large molecular and condensed systems10.1002/anie.201703114 ↗
23. Deep potential molecular dynamics: A scalable model with the accuracy of quantum mechanics10.1103/physrevlett.120.143001 ↗
24. Gaussian approximation potentials: The accuracy of quantum mechanics, without the electrons10.1103/physrevlett.104.136403 ↗
25. Moment tensor potentials: A class of systematically improvable interatomic potentials10.1137/15m1054183 ↗
26. Atomic cluster expansion for accurate and transferable interatomic potentials10.1103/physrevb.99.014104 ↗
27. Improving the accuracy of the neuroevolution machine learning potential for multi-component systems10.1088/1361-648x/ac462b ↗
28. GPUMD: A package for constructing accurate machine-learned potentials and performing highly efficient atomistic simulations10.1063/5.0106617 ↗
29. E(3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials10.1038/s41467-022-29939-5 ↗
30. DeePMD-kit: A deep learning package for many-body potential energy representation and molecular dynamics10.1016/j.cpc.2018.03.016 ↗
31. Machine learning force fields: Recent advances and remaining challenges10.1021/acs.jpclett.1c01204 ↗
32. Phase diagram of a deep potential water model10.1103/physrevlett.126.236001 ↗
33. Isotope effects in liquid water via deep potential molecular dynamics10.1080/00268976.2019.1652366 ↗
34. Understanding the dielectric relaxation of liquid water using neural network potential and classical pairwise potential10.1016/j.molliq.2024.124054 ↗
35. Dissolving salt is not equivalent to applying a pressure on water10.1038/s41467-022-28538-8 ↗
36. Understanding the anomalous diffusion of water in aqueous electrolytes using machine learned potentials10.1021/acs.jpclett.3c02112 ↗
37. Strongly constrained and appropriately normed semilocal density functional10.1103/physrevlett.115.036402 ↗
38. Random-phase approximation and its applications in computational chemistry and materials science10.1007/s10853-012-6570-4 ↗
39. Note on an approximation treatment for many-electron systems10.1103/physrev.46.618 ↗
40. To pair or not to pair? Machine-learned explicitly-correlated electronic structure for NaCl in water10.1021/acs.jpclett.4c01030 ↗
41. Structure making and breaking effects of ions on the anomalous diffusion of water revealed by machine learning potentials10.1039/d5cp01180a ↗
42. Ab initio simulation of liquid water without artificial high temperature10.1021/acs.jctc.4c00650 ↗
43. PACKMOL: A package for building initial configurations for molecular dynamics simulations10.1002/jcc.21224 ↗
44. Quickstep: Fast and accurate density functional calculations using a mixed Gaussian and plane waves approach10.1016/j.cpc.2004.12.014 ↗
45. Generalized gradient approximation made simple10.1103/physrevlett.77.3865 ↗
46. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H–Pu10.1063/1.3382344 ↗
47. Gaussian basis sets for accurate calculations on molecular systems in gas and condensed phases10.1063/1.2770708 ↗
48. Separable dual-space Gaussian pseudopotentials10.1103/physrevb.54.1703 ↗
49. DP-GEN: A concurrent learning platform for the generation of reliable deep learning based potential energy models10.1016/j.cpc.2020.107206 ↗
50. Pretraining of attention-based deep learning potential model for molecular simulation10.1038/s41524-024-01278-7 ↗
51. Fast parallel algorithms for short-range molecular dynamics10.1006/jcph.1995.1039 ↗
52. VMD: Visual molecular dynamics10.1016/0263-7855(96)00018-5 ↗
53. Hydration of sodium, potassium, and chloride ions in solution and the concept of structure maker/breaker10.1021/jp075913v ↗
54. Hydration structure of salt solutions from ab initio molecular dynamics10.1063/1.4772761 ↗
55. Ion pairing in molecular simulations of aqueous alkali halide solutions10.1021/jp809782z ↗
56. Ion pairing10.1021/cr040087x ↗
57. Comparison of the solvation structure of polarizable and nonpolarizable ions in bulk water and near the aqueous liquid−vapor interface10.1021/jp712136e ↗
58. Emergence of solvent-separated Na+–Cl–ion pair in salt water: Photoelectron spectroscopy and theoretical calculations10.1021/acs.jpclett.6b02670 ↗
59. Computer simulation of dissociative equilibrium in aqueous NaCl electrolyte with account for polarization and ion recharging. Ionization mechanism10.1134/s1023193513030130 ↗
60. 2005
61. Tetrahedral structure or chains for liquid water10.1073/pnas.0510593103 ↗
62. X-ray spectroscopy of liquid water microjets10.1021/jp010132u ↗
63. The radial distribution functions of water and ice from 220 to 673 K and at pressures up to 400 MPa10.1016/s0301-0104(00)00179-8 ↗
64. Structural, electronic, and dynamical properties of liquid water by ab initio molecular dynamics based on SCAN functional within the canonical ensemble10.1063/1.5023611 ↗
65. Hydrogen-bond kinetics in liquid water10.1038/379055a0 ↗
66. Effects of hydrogen-bond environment on single particle and pair dynamics in liquid water10.1007/bf02708792 ↗
67. 1997
68. Finite-size effects of diffusion coefficients computed from molecular dynamics: A review of what we have learned so far10.1080/08927022.2020.1810685 ↗
69. System-size dependence of diffusion coefficients and viscosities from molecular dynamics simulations with periodic boundary conditions10.1021/jp0477147 ↗
70. Shear viscosity computed from the finite-size effects of self-diffusivity in equilibrium molecular dynamics10.1021/acs.jctc.8b00625 ↗
71. On the validity of the Stokes–Einstein relation for various water force fields10.1080/00268976.2019.1702729 ↗
72. The fractional Stokes–Einstein equation: Application to Lennard-Jones, molecular, and ionic liquids10.1063/1.3183951 ↗
73. The measurement of self-diffusion in electrolyte solutions1, 210.1021/ja01618a007 ↗
74. A remeasurement of the self-diffusion coefficients of sodium ion in aqueous sodium chloride solutions10.1021/ja01628a008 ↗
75. The self-diffusion of chloride ion in aqueous alkali chloride solutions at 25°10.1021/j150558a015 ↗
76. Structure and dynamics of hydrated ions10.1021/cr00019a014 ↗
77. Concentration effects in aqueous NaCl solutions. A molecular dynamics simulation10.1021/jp961317h ↗
78. 2021
79. Nonaqueous liquid electrolytes for lithium-based rechargeable batteries10.1021/cr030203g ↗
80. Hydrodynamic boundary conditions, correlation functions, and Kubo relations for confined fluids10.1103/physreve.49.3079 ↗
81. A deep potential model with long-range electrostatic interactions10.1063/5.0083669 ↗
82. Why dissolving salt in water decreases its dielectric permittivity10.1103/physrevlett.131.076801 ↗
83. 2002
84. Charge transport in water–NaCl electrolytes with molecular dynamics simulations10.1021/acs.jpcb.2c08047 ↗
85. Correlations from ion pairing and the Nernst-Einstein equation10.1103/physrevlett.122.136001 ↗
86. Role of viscosity in deviations from the Nernst–Einstein relation10.1021/acs.jpcb.0c02544 ↗
87. Conductances of concentrated aqueous sodium and potassium chloride solutions at 25°10.1021/j150541a040 ↗
88. Molecular dynamics simulations of concentrated aqueous electrolyte solutions10.1080/08927022.2010.525513 ↗
89. Modifying Kohlrausch’s law to describe nonaqueous electrolytes for lithium-ion batteries10.1021/acsami.3c09396 ↗