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Related Concept Videos

Free Energy Changes for Nonstandard States03:25

Free Energy Changes for Nonstandard States

The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
The Energies of Atomic Orbitals03:21

The Energies of Atomic Orbitals

In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis. This...
Nuclear Overhauser Enhancement (NOE)01:06

Nuclear Overhauser Enhancement (NOE)

Irradiation of a spin-active nucleus causes an increase or decrease in the signal intensity of neighboring nuclei that are not necessarily chemically bonded or involved in J-coupling. This phenomenon, called the nuclear Overhauser enhancement (NOE), results from through-space interactions between the nuclear spins. The NOE effect decreases with increasing internuclear distance and is generally not observed beyond 4 angstroms. In NOE, dipole-dipole interactions between neighboring spin-active...
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Energy Diagrams - II

Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The slope...

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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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Effective local potentials for excited states.

Viktor N Staroverov1, Vitaly N Glushkov

  • 1Department of Chemistry, The University of Western Ontario, London, Ontario N6A 5B7, Canada. vstarove@uwo.ca

The Journal of Chemical Physics
|January 5, 2011
PubMed
Summary

Researchers developed a new method to create accurate potentials for excited electronic states in atoms and molecules. This approach improves calculations for electron behavior, advancing computational chemistry and materials science.

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Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • Atomic Physics

Background:

  • Accurate modeling of electronic states is crucial for understanding chemical reactions and material properties.
  • Existing methods for calculating excited states often face computational challenges and approximations.

Purpose of the Study:

  • To develop a novel computational approach for generating accurate Kohn-Sham-type exact-exchange potentials for singly excited states.
  • To investigate the characteristics of these potentials for simple atomic systems.

Main Methods:

  • Combined the constrained variational Hartree-Fock method with the effective local potential (ELP) method.
  • Applied the technique to calculate the lowest excited states of Li, Na, He, and Be atoms.

Main Results:

  • Successfully generated Kohn-Sham-type exact-exchange potentials for excited states.
  • Observed that excited-state ELPs are less negative and feature outer electron region 'bumps' compared to ground-state potentials.
  • Demonstrated the general applicability of the technique for other orbital-dependent functionals.

Conclusions:

  • The developed method provides a robust way to approximate excited-state exchange-correlation potentials.
  • The findings offer a pathway for more precise theoretical predictions in computational quantum chemistry.