June 14, 2018
Journal Article

Understanding the Scale of the Single Ion Free Energy: A Critical Test of the Tetra-Phenyl Arsonium and Tetra-Phenyl Borate Assumption

Abstract

Free energies, enthalpies and entropies of ions in solution can be experimentally determined for neutral pairs. For individual ions however, determining these properties requires additional assumptions, which can and should be theoretically tested. The tetra-phenyl arsonium and tetra-phenyl borate (TATB) assumption is a commonly used extra-thermodynamic assumption, which allows these values to be split into cationic and anionic contributions. The assumption is that the values for the TATB salt can be divided equally. This is justified by arguing that these large hydrophobic ions will cause a symmetric response in water. Experimental and classical simulation work has raised potential flaws with this assumption, indicating that hydrogen bonding with the phenyl ring may favor the solvation of the TB- anion. Here, we perform ab initio molecular dynamics (AIMD) simulations of these ions in bulk water demonstrating that there are significant structural differences. We quantify our findings by reproducing the experimentally observed vibrational shift for the TB- anion and confirm that this is associated with hydrogen bonding with the phenyl rings. Finally, we demonstrate that this results in a substantial energetic preference of the water to solvate the anion. Our results suggest that the validity of the TATB assumption, which is still widely used today, should be reconsidered experimentally in order to properly reference single ion solvation free energy, enthalpy and entropy. ACKNOWLEDGMENT: Computing resources were generously allocated by PNNL’s Institutional Computing program. This research also used resources of the National Energy Research Scientific Computing Center, a DOE Office of Science User Facility supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231. TTD and CJM were supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, Division of Chemical Sciences, Geosciences, and Biosciences. MDB was supported by MS3 (Materials Synthesis and Simulation Across Scales) Initiative, a Laboratory Directed Research and Development Program at Pacific Northwest National Laboratory (PNNL). PNNL is a multiprogram national laboratory operated by Battelle for the U.S. Department of Energy.

Revised: January 28, 2019 | Published: June 14, 2018

Citation

Duignan T.T., M.D. Baer, and C.J. Mundy. 2018. Understanding the Scale of the Single Ion Free Energy: A Critical Test of the Tetra-Phenyl Arsonium and Tetra-Phenyl Borate Assumption. Journal of Chemical Physics 148, no. 22:222819. PNNL-SA-132440. doi:10.1063/1.5020171