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Related Concept Videos

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to the...
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¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Atomic Absorption Spectroscopy: Atomization Methods

Atomic Absorption Spectroscopy (AAS) atomizes samples through flame atomization or electrothermal atomization. Flame atomization typically involves a nebulizer and spray chamber assembly to combine the sample with a fuel–oxidant mixture, creating a fine aerosol mist that enters a burner. Typically, the fuel and oxidant are combined in an approximately stoichiometric ratio. However, for atoms that are easily oxidized, a fuel-rich mixture may be more advantageous. Only about 5% of the aerosol...
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Interference leads to systematic error in atomic absorption (AA) measurements by enhancing or diminishing the analytical signal or the background. These interferences can be grouped into three main categories: spectral interference, chemical interference, and physical interference.
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Debye–Huckel–Onsager Conductance Equation01:28

Debye–Huckel–Onsager Conductance Equation

The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect. According to this equation,...
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Electronic Structure of Atoms


An atom comprises protons and neutrons, which are contained inside the dense, central core called the nucleus, with electrons present around the nucleus. Taking into account the wave–particle duality of electrons and the uncertainty in position around the nucleus, quantum mechanics provides a more accurate model for the atomic structure. It describes atomic orbitals as the regions around the nucleus where electrons of discrete energy exist, characterized by four quantum numbers:  n, l, ml, and...

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ACKS2: atom-condensed Kohn-Sham DFT approximated to second order.

T Verstraelen1, P W Ayers, V Van Speybroeck

  • 1Center for Molecular Modeling (CMM), Ghent University, Technologiepark 903, 9052 Zwijnaarde, Belgium. Toon.Verstraelen@UGent.be

The Journal of Chemical Physics
|March 1, 2013
PubMed
Summary

A new polarizable force field, atom-condensed Kohn-Sham density functional theory approximated to second order (ACKS2), efficiently computes atomic charges and linear response properties. This method improves upon the Electronegativity Equalization Method (EEM) by addressing key limitations.

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Materials science

Background:

  • Polarizable force fields (PFFs) are crucial for simulating molecular systems.
  • Existing methods like Electronegativity Equalization Method (EEM) have limitations in accuracy and scalability.
  • Accurate computation of atomic charges and polarizability is essential for understanding material properties.

Purpose of the Study:

  • To introduce a novel polarizable force field, ACKS2, for efficient and accurate calculations.
  • To address limitations of previous methods in describing charge distribution and size-dependence.
  • To provide a computationally efficient approach derived from Kohn-Sham density functional theory.

Main Methods:

  • Development of atom-condensed Kohn-Sham density functional theory approximated to second order (ACKS2).
  • Incorporation of constrained atomic populations and Legendre transform of Kohn-Sham kinetic energy.
  • Extension of the Electronegativity Equalization Method (EEM) with novel theoretical underpinnings.

Main Results:

  • ACKS2 accurately predicts atomic charges and linear response properties for extended systems.
  • The new method demonstrates linear size-dependence of dipole polarizability in the macroscopic limit.
  • Correct description of charge distribution during molecular dissociation is achieved.

Conclusions:

  • ACKS2 offers an efficient and accurate alternative to existing polarizable force fields.
  • The method overcomes key shortcomings of the Electronegativity Equalization Method.
  • ACKS2 parameters are derived from fundamental atomic properties, enhancing transferability.