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Related Concept Videos

Quantum Numbers02:43

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...
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While the differential rate law relates the rate and concentrations of reactants, a second form of rate law called the integrated rate law relates concentrations of reactants and time. Integrated rate laws can be used to determine the amount of reactant or product present after a period of time or to estimate the time required for a reaction to proceed to a certain extent. For example, an integrated rate law helps determine the length of time a radioactive material must be stored for its...
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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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An understanding of the solvating effect helps rationalize the relation between solvation and acidity of the compound. In addition, this also explains the relative stability of conjugate bases for compounds with different pKa values. This lesson details, in-depth, the principle of solvating effects. The strength of an acid and the stability of its corresponding conjugate base are determined using pKa values. This observed relationship is a consequence of solvation, which is the interaction...
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Updated: Feb 11, 2026

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection
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Nonequilibrium quantum solvation with a time-dependent Onsager cavity.

H Kirchberg1, P Nalbach2, M Thorwart1

  • 1I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstraße 9, 20355 Hamburg, Germany.

The Journal of Chemical Physics
|May 3, 2018
PubMed
Summary

We developed a theory for time-dependent quantum solvation. A shrinking solvent cavity enhances dipole relaxation, while a breathing cavity can resonantly suppress damping, revealing complex dynamics in nonequilibrium systems.

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Area of Science:

  • Quantum chemistry
  • Theoretical chemistry
  • Chemical physics

Background:

  • Understanding solvation dynamics is crucial for chemical reactions.
  • Nonequilibrium solvation effects are important in dynamic processes.
  • Quantum effects in solvation are increasingly studied.

Purpose of the Study:

  • To formulate a theory of nonequilibrium quantum solvation with time-dependent solvent parameters.
  • To analyze the relaxation properties of a test molecular point dipole in a dielectric solvent with dynamic boundary conditions.
  • To investigate the impact of shrinking and breathing Onsager cavities on dipole relaxation.

Main Methods:

  • Formulation of a quantum solvation theory.
  • Modeling the solvent as a spherical Onsager cavity with time-dependent radius.
  • Analysis of a test molecular point dipole's response function.
  • Consideration of shrinking and breathing cavity dynamics.

Main Results:

  • Time-dependent solvent parameters lead to a time-dependent frequency-dependent response function.
  • A shrinking Onsager sphere generally enhances dipole relaxation, increasing the linewidth.
  • A breathing Onsager sphere can reduce damping, with resonant suppression when breathing and relaxation rates are comparable.
  • The linewidth is significantly reduced when the breathing sphere reaches its maximum extension.

Conclusions:

  • Nonequilibrium quantum solvation theory provides insights into dynamic solvent effects.
  • Time-dependent cavity dynamics significantly alter molecular dipole relaxation.
  • The breathing Onsager sphere model offers a pathway to control and suppress damping in quantum systems.