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    Ion Association in AlCl<sub>3</sub> Aqueous Solutions from Constrained First-Principles Molecular Dynamics

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    The Car–Parrinello-based molecular dynamics (CPMD) method was used to investigate the ion-pairing behavior between Cl<sup>–</sup> and Al<sup>3+</sup> ions in an aqueous AlCl<sub>3</sub> solution containing 63 water molecules. A series of constrained simulations was carried out at 300 K for up to 16 ps each, with the internuclear separation (<i>r</i><sub>Al–Cl</sub>) between the Al<sup>3+</sup> ion and one of the Cl<sup>–</sup> ions held constant. The calculated potential of mean force (PMF) of the Al<sup>3+</sup>–Cl<sup>–</sup> ion pair shows a global minimum at <i>r</i><sub>Al–Cl</sub> = 2.3 Å corresponding to a contact ion pair (CIP). Two local minima assigned to solvent-separated ion pairs (SSIPs) are identified at <i>r</i><sub>Al–Cl</sub> = 4.4 and 6.0 Å. The positions of the free energy minima coincide with the hydration-shell intervals of the Al<sup>3+</sup> cation, suggesting that the Cl<sup>–</sup> ion is inclined to reside in regions with low concentrations of water molecules, that is, between the first and second hydration shells of Al<sup>3+</sup> and between the second shell and the bulk. A detailed analysis of the solvent structure around the Al<sup>3+</sup> and Cl<sup>–</sup> ions as a function of <i>r</i><sub>Al–Cl</sub> is presented. The results are compared to structural data from X-ray measurements and unconstrained CPMD simulations of single Al<sup>3+</sup> and Cl<sup>–</sup> ions and AlCl<sub>3</sub> solutions. The dipole moments of the water molecules in the first and second hydration shells of Al<sup>3+</sup> and in the bulk region and those of Cl<sup>–</sup> ions were calculated as a function of <i>r</i><sub>Al–Cl</sub>. Major changes in the electronic structure of the system were found to result from the removal of Cl<sup>–</sup> from the first hydration shell of the Al<sup>3+</sup> cation. Finally, two unconstrained CPMD simulations of aqueous AlCl<sub>3</sub> solutions corresponding to CIP and SSIP configurations were performed (17 ps, 300 K). Only minor structural changes were observed in these systems, confirming their stability
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