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Related Concept Videos

Ionic Association01:28

Ionic Association

The ionic association is the association of oppositely charged ions in an electrolyte solution to form ion pairs. Bjerrum defined ion pairs as two oppositely charged ions whose electrostatic attraction exceeds the thermal energy of the system, typically expressed as 2kT. Electrostatic attraction depends on ionic charge, separation distance, and the dielectric constant of the medium. Thermal energy, represented by kT, reflects the tendency of ions to move independently due to molecular motion.
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene π orbitals.
Ion Exchange01:17

Ion Exchange

Ion exchange chromatography separates charged molecules from a solution by reversibly exchanging them with mobile, or 'active', ions associated with the oppositely charged stationary phase. This method can be used to separate ions, soften and deionize water, and purify solutions. The polymers comprising the ion-exchange column are high-molecular-weight and chemically stable polymers, crosslinked to be porous and essentially insoluble. They are also functionalized with either acidic or basic...
Intermolecular Forces03:13

Intermolecular Forces

Atoms and molecules interact through bonds (or forces): intramolecular and intermolecular. The forces are electrostatic as they arise from interactions (attractive or repulsive) between charged species (permanent, partial, or temporary charges) and exist with varying strengths between ions, polar, nonpolar, and neutral molecules. The different types of intermolecular forces are ion–dipole, dipole–dipole, hydrogen bonds, and dispersion; among these, dipole–dipole, hydrogen bonds, and dispersion...
Intermolecular Forces03:13

Intermolecular Forces

Atoms and molecules interact through bonds (or forces): intramolecular and intermolecular. The forces are electrostatic as they arise from interactions (attractive or repulsive) between charged species (permanent, partial, or temporary charges) and exist with varying strengths between ions, polar, nonpolar, and neutral molecules. The different types of intermolecular forces are ion–dipole, dipole–dipole, hydrogen bonds, and dispersion; among these, dipole–dipole, hydrogen bonds, and dispersion...
Theory of Strong Electrolytes01:23

Theory of Strong Electrolytes

The interionic forces of the strong electrolytes depend on the solvent's dielectric constant, which is the ability of a solvent to store electrical energy, based on its polarizability. and the solution's concentration. In high-dielectric solvents and in dilute solutions, weak electrostatic forces keep ions apart. However, in low-dielectric solvents or concentrated solutions, stronger interionic forces may cause ions to pair up as ionic doublets despite being fully ionized. The theory of strong...

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Pairwise long-range compensation for strongly ionic systems.

Seyit Kale1, Judith Herzfeld

  • 1Graduate Program in Biophysics and Structural Biology, Brandeis University, Waltham, MA 02454.

Journal of Chemical Theory and Computation
|January 17, 2012
PubMed
Summary
This summary is machine-generated.

We introduce a novel pairwise electrostatic compensation method, improving upon previous generations by ensuring continuous forces and their derivatives. This advanced technique accurately models ionic liquids, rivaling traditional Ewald sums.

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Area of Science:

  • Computational chemistry
  • Physical chemistry
  • Materials science

Background:

  • Traditional methods for long-range electrostatics involve infinite lattice sums.
  • Previous pairwise compensation methods achieved continuous potentials and forces at cutoff, but not their derivatives.
  • Artifacts in structural modeling of ionic liquids were observed with earlier pairwise methods.

Purpose of the Study:

  • To propose a third-generation pairwise compensation method for long-range electrostatics.
  • To enhance the continuity of electrostatic interactions at cutoff spheres.
  • To eliminate structural artifacts in ionic liquid simulations.

Main Methods:

  • Developed a pairwise compensation method with an additional layer of softening.
  • Ensured continuity of the potential, force, and force derivative at the cutoff.
  • Compared simulation results with traditional Ewald sums.

Main Results:

  • The new method ensures continuity of potential, force, and force derivative at the cutoff.
  • Structural artifacts observed in previous pairwise compensation schemes were eliminated.
  • Results for strongly ionic liquids show good agreement with Ewald sums.

Conclusions:

  • The proposed pairwise compensation method offers an accurate alternative to infinite lattice sums for long-range electrostatics.
  • This method effectively models strongly ionic liquids, providing reliable structural and energetic properties.
  • The enhanced continuity improves the simulation accuracy and removes artifacts.