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Related Concept Videos

Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory
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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Valence Bond Theory and Hybridized Orbitals

According to valence bond theory, a covalent bond results when: (1) an orbital on one atom overlaps an orbital on a second atom, and (2) the single electrons in each orbital combine to form an electron pair. The strength of a covalent bond depends on the extent of overlap of the orbitals involved. Maximum overlap is possible when the orbitals overlap on a direct line between the two nuclei.
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Hybridization of Atomic Orbitals I

The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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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:
Valence Bond Theory02:42

Valence Bond Theory

Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...

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Related Experiment Video

Updated: Jun 8, 2026

Spatial Separation of Molecular Conformers and Clusters
10:37

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Published on: January 9, 2014

Characterization of large vacancy clusters in diamond from a generational algorithm using tight binding density

Brad Slepetz1, Istvan Laszlo, Yury Gogotsi

  • 1Chemistry Department, Georgetown University, 37th and O Streets, NW, Washington, DC 20057-1227, USA.

Physical Chemistry Chemical Physics : PCCP
|September 22, 2010
PubMed
Summary

We explored vacancy clusters (V(n)) in diamond, finding that larger clusters (n>22) adopt irregular oblate shapes, unlike smaller adamantane-like structures. This reveals novel diamond void structures and their impact on material properties.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Computational Chemistry

Background:

  • Point defects and nanosized voids in diamond significantly influence its optical and electrical characteristics.
  • Understanding the atomic structure of these defects is crucial for tailoring diamond's properties for advanced applications.

Purpose of the Study:

  • To generate and analyze a wide range of vacancy clusters (V(n)) in diamond, up to n=65, to understand their structural evolution.
  • To investigate the influence of cluster size on the preferred atomic configurations and bonding in diamond voids.
  • To provide atomistic insights into models like the "slit pore" model.

Main Methods:

  • Utilized a generational algorithm to systematically create and evaluate vacancy clusters based on energetic stability.
  • Employed quantum mechanical tight-binding density functional theory (TBDFT) for accurate electronic structure calculations.
  • Analyzed structural diversity, shape evolution, and bonding characteristics using radial distribution analysis.

Main Results:

  • Identified a transition in preferred cluster shapes from adamantane-like globular structures (n≤22) to irregular oblate shapes (n≈35).
  • Observed local graphitization and unusual C-C bond distances (1.6–2.8 Å) near the internal surfaces of larger clusters.
  • Found no particularly stable "magic" sizes for vacancy clusters larger than n=22, suggesting flexibility in their formation.

Conclusions:

  • The study reveals novel, irregular atomic structures for large vacancy clusters in diamond not previously considered.
  • The findings offer an atomistic basis for the "slit pore" model and explain the emergence of complex bonding.
  • The lack of magic sizes for larger clusters implies they can readily accommodate smaller defects, impacting diamond's overall properties.