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PreprintCC BY-NC-SA 4.0arXiv

Numerical Prediction of NaCl Solubility in Water Using the TIP4P/05 Water Model NaCl/Madrid

Abstract

The solid-liquid equilibrium and solubility of NaCl in water were investigated using molecular dynamics simulations with the NaCl/Madrid force field and the TIP4P/05 water model. Particular attention was given to the influence of the intermolecular cut-off radius, rcut, used to identify ions belonging to the crystalline phase. Simulations were initiated from a NaCl crystal immersed in an aqueous NaCl solution, following the configuration proposed by Manzanilla-Granados et al. After equilibration, the system was analysed over an extended simulation trajectory. The radial distribution function, g(r), was used to establish a physically motivated criterion for distinguishing the crystalline and aqueous phases. Specifically, the first minimum following the principal Na-Cl correlation peak was used to characterise the ionic coordination environment and constrain the range of meaningful cut-off radii. The number of ions remaining in the crystalline phase was then evaluated as a function of rcut, allowing the corresponding solubility to be estimated. The resulting curve exhibits a well-defined inflection point, providing a criterion for identifying the transition between predominantly crystalline and dissolved ionic populations. This approach offers a structural basis for determining NaCl solubility directly from the evolution of the solid-liquid system, avoiding the arbitrary selection of the cut-off distance. The results demonstrate that combining radial distribution functions with cut-off-dependent analysis provides a useful framework for characterising solid-liquid behaviour and estimating the solubility of ionic crystals through molecular dynamics simulations.

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BibTeX
@misc{fuentesazcatl2026numerical,
  title = {{Numerical Prediction of NaCl Solubility in Water Using the TIP4P/05 Water Model NaCl/Madrid}},
  author = {Raúl Fuentes-Azcatl},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.29163},
  eprint = {2610.29163},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.29163},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Numerical Prediction of NaCl Solubility in Water Using the TIP4P/05 Water Model NaCl/Madrid
AU  - Raúl Fuentes-Azcatl
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.29163
UR  - https://arxiv.org/abs/2610.29163
AB  - The solid-liquid equilibrium and solubility of NaCl in water were investigated using molecular dynamics simulations with the NaCl/Madrid force field and the TIP4P/05 water model. Particular attention was given to the influence of the intermolecular cut-off radius, rcut, used to identify ions belonging to the crystalline phase. Simulations were initiated from a NaCl crystal immersed in an aqueous NaCl solution, following the configuration proposed by Manzanilla-Granados et al. After equilibration, the system was analysed over an extended simulation trajectory. The radial distribution function, g(r), was used to establish a physically motivated criterion for distinguishing the crystalline and aqueous phases. Specifically, the first minimum following the principal Na-Cl correlation peak was used to characterise the ionic coordination environment and constrain the range of meaningful cut-off radii. The number of ions remaining in the crystalline phase was then evaluated as a function of rcut, allowing the corresponding solubility to be estimated. The resulting curve exhibits a well-defined inflection point, providing a criterion for identifying the transition between predominantly crystalline and dissolved ionic populations. This approach offers a structural basis for determining NaCl solubility directly from the evolution of the solid-liquid system, avoiding the arbitrary selection of the cut-off distance. The results demonstrate that combining radial distribution functions with cut-off-dependent analysis provides a useful framework for characterising solid-liquid behaviour and estimating the solubility of ionic crystals through molecular dynamics simulations.
ER  -