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Related Concept Videos

Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

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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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Metallic Solids02:37

Metallic Solids

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Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
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IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

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A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
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Lattice Centering and Coordination Number02:33

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
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Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

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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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Atomic Radii and Effective Nuclear Charge03:08

Atomic Radii and Effective Nuclear Charge

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The elements in groups of the periodic table exhibit similar chemical behavior. This similarity occurs because the members of a group have the same number and distribution of electrons in their valence shells.
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Related Experiment Video

Updated: Jun 24, 2025

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
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Obtaining Robust Density Functional Tight-Binding Parameters for Solids across the Periodic Table.

Mengnan Cui1,2, Karsten Reuter1, Johannes T Margraf2

  • 1Fritz Haber Institute of the Max Planck Society, 14195 Berlin, Germany.

Journal of Chemical Theory and Computation
|June 12, 2024
PubMed
Summary
This summary is machine-generated.

We developed a new workflow for density functional tight-binding (DFTB) parametrization, enabling broader application of this efficient simulation method. This approach ensures consistent and transferable parameters for diverse chemical systems.

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Area of Science:

  • Computational Chemistry
  • Materials Science
  • Condensed Matter Physics

Background:

  • Density Functional Tight-Binding (DFTB) offers efficient electronic structure simulations.
  • Current DFTB methods face limitations due to sparse parameter availability across the periodic table.

Purpose of the Study:

  • To propose a robust and consistent workflow for DFTB parametrization.
  • To develop transferable parameters applicable to all element combinations.

Main Methods:

  • Parametrization of all elements using a consistent set of artificial homoelemental crystals.
  • Focus on a wide range of coordination environments for broad applicability.
  • Development of an approach that avoids element-pairwise parameters.

Main Results:

  • Successful generation of transferable periodic table baseline parameters.
  • Demonstrated applicability to multielement systems and previously unseen structures.
  • Extensive benchmarking against existing DFTB parametrization methods.

Conclusions:

  • The proposed workflow provides a significant advancement for DFTB applications.
  • The developed parameters enhance the usability and scope of DFTB simulations.
  • This method facilitates reliable electronic structure calculations for a wider range of materials.