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Related Concept Videos

Conservation of Energy: Application01:12

Conservation of Energy: Application

When solving problems using the energy conservation law, the object (system) to be studied should first be identified. Often, in applications of energy conservation, we study more than one body at the same time. Second, identify all forces acting on the object and determine whether each force doing work is conservative. If a non-conservative force (e.g., friction) is doing work, then mechanical energy is not conserved. The system must then be analyzed with non-conservative work. Third, for...
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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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Free-energy diagrams, or reaction coordinate diagrams, are graphs showing the energy changes that occur during a chemical reaction. The reaction coordinate represented on the horizontal axis shows how far the reaction has progressed structurally. Positions along the x-axis close to the reactants have structures resembling the reactants, while positions close to the products resemble the products.  Peaks on the energy diagram represent stable structures with measurable lifetimes, while other...
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The terms 'conserved quantity' and 'conservation law' have specific scientific meanings in physics, which differ from the meanings associated with their everyday use. For example, in everyday usage, water could be conserved by not using it, by using less of it, or by re-using it. However, in scientific terms, a conserved quantity of a system stays constant, changes by a definite amount that is transferred to other systems, and is converted into other forms of that quantity. In the scientific...
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Potential energy or potential function plays an essential role in determining the stability of a mechanical system. If a system is subjected to both gravitational and elastic forces, the potential function of the system can be expressed as the algebraic sum of gravitational and elastic potential energy. If the system is in equilibrium and is displaced by a small amount, then the work done on the system equals the negative of the change in the system's potential energy from the initial to the...
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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:

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Related Experiment Video

Updated: May 14, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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Published on: May 27, 2020

On the organic energy gap problem.

F Flores1, E Abad, J I Martínez

  • 1Departamento de Física Teórica de la Materia Condensada, Universidad Autónoma de Madrid, E-28049 Madrid, Spain. fernando.flores@uam.es

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|February 13, 2013
PubMed
Summary
This summary is machine-generated.

This study corrects the underestimation of energy gaps in organic molecules using hybrid density functional theory (DFT) potentials. The approach accurately predicts the highest occupied molecular orbital/lowest unoccupied molecular orbital (HOMO/LUMO) energy gap for various organic molecules and surfaces.

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Area of Science:

  • Computational Chemistry
  • Materials Science
  • Quantum Chemistry

Background:

  • Conjugated organic molecules exhibit a discrepancy between calculated and experimental transport gaps.
  • The Kohn-Sham eigenvalues often underestimate the highest occupied molecular orbital/lowest unoccupied molecular orbital (HOMO/LUMO) energy gap.

Purpose of the Study:

  • To develop and validate a hybrid potential approach within DFT to accurately predict energy gaps in organic molecules.
  • To investigate the influence of molecule-metal interactions on the electronic properties of organic materials.

Main Methods:

  • Utilized a local-orbital formulation of Density Functional Theory (DFT).
  • Incorporated hybrid potentials with a fraction of Hartree-Fock exchange.
  • Calculated electronic structures for small molecules (H2, C6H6) and organic molecules on metal surfaces (PTCDA, TTF, benzene, pentacene on Au(111), Ag(111), Cu(111)).
  • Accounted for image potential effects in molecule-metal interactions.

Main Results:

  • The hybrid potential approach successfully corrected the underestimation of the HOMO/LUMO energy gap.
  • Accurate prediction of experimental energy gaps was achieved by adjusting the hybrid parameter.
  • Molecule-metal interactions, including image potential effects, were analyzed and incorporated into the model.

Conclusions:

  • Hybrid DFT potentials offer a robust method for accurately calculating electronic energy gaps in organic molecules.
  • The developed scheme provides a reliable framework for studying organic electronic materials and their interfaces with metals.