Surface charge regulation using classical density functional theory: the effect of divalent potential determining
Nathalia Salles Vernin1, Dirk Gillespie2
1Department of Sanitary and Environmental Engineering, Rio de Janeiro State University, Rio de Janeiro, RJ 20550-900, Brazil. nathalia.vernin@eng.uerj.br.
Physical Chemistry Chemical Physics : PCCP
|December 19, 2022
Summary
Divalent ion size significantly impacts surface charge density, contrary to point-ion assumptions. Ion correlations, crucial at high concentrations, lead to charge inversion, a phenomenon missed by traditional models.
Area of Science:
- Surface chemistry
- Physical chemistry
- Computational chemistry
Background:
- Charge regulation models describe surface charge influenced by protons and ions.
- Conventional Poisson-Boltzmann (PB) equation neglects ion size and electrostatic correlations.
- Classical density functional theory (DFT) incorporates these correlations.
Purpose of the Study:
- Investigate the role of divalent ions in surface charge regulation.
- Assess the impact of divalent ion size on surface charge density.
- Explore ion correlation effects in divalent ion-surface interactions.
Main Methods:
- Coupling charge regulation with classical density functional theory (DFT).
- Utilizing DFT to explicitly include ion size and electrostatic correlations.
- Comparing DFT results with Poisson-Boltzmann theory.
Main Results:
- Divalent ion size significantly influences surface charge density; it should not be neglected.
- Larger divalent cations lead to greater surface charge due to higher local concentrations.
- Ion correlations play a non-negligible role at low concentrations and a dominant role at high concentrations, causing charge inversion.
Conclusions:
- DFT provides a more accurate description of charge regulation with multivalent ions than PB theory.
- Divalent ion size is a critical parameter for understanding surface charge.
- Ion correlations are essential for accurately modeling surface charge phenomena, especially at higher concentrations.
Related Concept Videos
Crystal Field Theory - Tetrahedral and Square Planar Complexes
43.7K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
43.7K
Crystal Field Theory - Octahedral Complexes
27.1K
Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
27.1K
Formal Charges
32.9K
In some cases, there are seemingly more than one valid Lewis structures for molecules and polyatomic ions. The concept of formal charges can be used to help predict the most appropriate Lewis structure when more than one reasonable structure exists.
32.9K
Potential Due to a Polarized Object
454
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
454
Calculations of Electric Potential II
1.8K
An electric dipole is a system of two equal but opposite charges, separated by a fixed distance. This system is used to model many real-world systems, including atomic and molecular interactions. One of these systems is the water molecule, but only under certain circumstances. These circumstances are met inside a microwave oven, where electric fields with alternating directions make the water molecules change orientation. This vibration is equivalent to heat at the molecular level.
Consider a...
Consider a...
1.8K
Formation of Complex Ions
23.9K
A type of Lewis acid-base chemistry involves the formation of a complex ion (or a coordination complex) comprising a central atom, typically a transition metal cation, surrounded by ions or molecules called ligands. These ligands can be neutral molecules like H2O or NH3, or ions such as CN− or OH−. Often, the ligands act as Lewis bases, donating a pair of electrons to the central atom. These types of Lewis acid-base reactions are examples of a broad subdiscipline called coordination...
23.9K


