Structural interactions in ionic liquids linked to higher-order Poisson-Boltzmann equations
R Blossey1, A C Maggs2, R Podgornik3
1University of Lille 1, Unité de Glycobiologie Structurale et Fonctionnelle, CNRS UMR8576, F-59000 Lille, France.
Abstract:
We present a derivation of generalized Poisson-Boltzmann equations starting from classical theories of binary fluid mixtures, employing an approach based on the Legendre transform as recently applied to the case of local descriptions of the fluid free energy. Under specific symmetry assumptions, and in the linearized regime, the Poisson-Boltzmann equation reduces to a phenomenological equation introduced by Bazant et al. [Phys. Rev. Lett. 106, 046102 (2011)]PRLTAO0031-900710.1103/PhysRevLett.106.046102, whereby the structuring near the surface is determined by bulk coefficients.
Related Concept Videos
03:13Intermolecular Forces
02:56Intermolecular Forces and Physical Properties
02:54Molecular and Ionic Solids
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
03:51Molecular Orbital Theory II
02:40MO Theory and Covalent Bonding
02:28Intermolecular Forces in Solutions
When the strengths of the intermolecular forces of attraction between solute and solvent species in a solution are no different than those present in the separated components, the solution is formed with no accompanying energy change. Such a solution is called an ideal solution. A mixture of ideal gases (or gases such as helium and argon,...