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Bond Dissociation Energy and Activation Energy02:13

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Bond energy is the energy required to break a bond homolytically. These values are usually expressed in units of kcal/mol or kJ/mol and are referred to as bond dissociation energies when given for specific bonds or average bond energies when indicated for a given type of bond over many compounds. Firstly, the bond dissociation energy for a single bond is weaker than that of a double bond, which in turn is weaker than that of a triple bond. Secondly, hydrogen forms relatively strong bonds with...
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Stable molecules exist because covalent bonds hold the atoms together. The strength of a covalent bond is measured by the energy required to break it, that is, the energy necessary to separate the bonded atoms. Separating any pair of bonded atoms requires energy — the stronger a bond, the greater the energy required to break it.
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Luminescence, the emission of light by a substance that has absorbed energy, is a process that involves the interaction of molecules with light. The energy-level diagram, or Jablonski diagram, is a graphical representation of these interactions, illustrating the various states and transitions a molecule can undergo. In a typical Jablonski diagram, the lowest horizontal line represents the ground-state energy of the molecule, which is usually a singlet state. This state represents the energies...
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To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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Dissociation Energies via Embedding Techniques.

Florian Feyersinger1,2, Peter E Hartmann1, Johannes Hoja1

  • 1Department of Chemistry, University of Graz, Heinrichstraße 28/IV, 8010 Graz, Austria.

The Journal of Physical Chemistry. A
|October 15, 2024
PubMed
Summary
This summary is machine-generated.

Computational cost for large systems is reduced by fragmenting them into smaller subsystems. Various embedding methods were tested, showing significant error reduction for interaction energies compared to unembedded approaches.

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Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • Materials Science

Background:

  • Calculating interaction energies for large systems like liquids and crystals is computationally expensive.
  • Fragmentation into smaller subsystems (many-body expansion) is a promising approach to reduce computational cost.
  • Accurate and efficient methods are needed to determine interaction energies and gradients for complex systems.

Purpose of the Study:

  • To test and evaluate various subsystem (embedding) approaches for calculating interaction energies.
  • To explore the limits and behaviors of different embedding methods.
  • To identify favorable methods for accurately describing systems with varying interaction strengths.

Main Methods:

  • Mechanical embedding, point charges, polarizable embedding, polarizable density embedding, and density embedding were investigated.
  • Nonembedded fragmentation, quantum mechanics/molecular mechanics (QM/MM), and quantum mechanics/quantum mechanics (QM/QM) embedding theories were evaluated.
  • Symmetry-adapted perturbation theory with density functional theory was used for interpretation.

Main Results:

  • Different embedding methods and schemes show varying degrees of accuracy depending on interaction strength.
  • Embedding approaches reduced interaction energy errors by up to a factor of 20 compared to unembedded methods.
  • Errors in interaction energies were reduced to below 0.1 kJ/mol with the presented embedding approaches.

Conclusions:

  • Subsystem and embedding methods offer a computationally efficient alternative for calculating interaction energies in large systems.
  • The choice of embedding method is crucial and depends on the specific system and interaction characteristics.
  • These advanced embedding techniques significantly improve accuracy while reducing computational burden.