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Properties of Transition Metals02:58

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Transition metals are defined as those elements that have partially filled d orbitals. As shown in Figure 1, the d-block elements in groups 3–12 are transition elements. The f-block elements, also called inner transition metals (the lanthanides and actinides), also meet this criterion because the d orbital is partially occupied before the f orbitals.
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Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...
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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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Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
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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.
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In complexation reactions, metal atoms or cations interact with ligands to form donor-acceptor adducts called metal complexes. Ligands that bind through one donor site are monodentate, ligands with two donor sites are bidentate, and those with more than two donor sites are polydentate ligands. For example, ethylene diamine is a bidentate ligand that binds through two nitrogen donor atoms, forming a five-membered ring. EDTA is a polydentate ligand that binds through four oxygen and two nitrogen...
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Lanthanide Contraction: What is Normal?

Robert B Jordan1

  • 1Department of Chemistry, University of Alberta, Edmonton, Alberta T6G 2G2, Canada.

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|February 22, 2023
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Summary
This summary is machine-generated.

The lanthanide contraction, a key factor in lanthanide (Ln(III)) compound properties, typically shows a linear trend with 4f electron number. This study confirms the linear model is most representative, despite some complex systems exhibiting quadratic dependencies.

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Area of Science:

  • Inorganic Chemistry
  • Lanthanide Chemistry
  • Solid-State Chemistry

Background:

  • Lanthanide contraction influences the properties and applications of lanthanide (Ln(III)) compounds.
  • Understanding the normal dependence of contraction on the number of 4f electrons is crucial.
  • Recent research suggests a quadratic model for lanthanide contraction, challenging the traditional linear trend.

Purpose of the Study:

  • To examine the Ln(III)-to-ligand atom distances in coordination compounds (CNs 6-9), nitrides, and phosphides.
  • To determine when a quadratic model for lanthanide contraction is justified.
  • To compare the validity of linear versus quadratic models for describing lanthanide contraction.

Main Methods:

  • Analysis of Ln(III)-to-ligand atom distances for various coordination numbers.
  • Application of least-squares fits to both linear and quadratic models.
  • Evaluation of bond distance data to assess model suitability.

Main Results:

  • Complex systems can exhibit a mix of linear and quadratic dependencies in bond distances.
  • The linear model remains the most common and representative for describing lanthanide contraction.
  • The traditional linear dependence on the number of 4f electrons is largely supported.

Conclusions:

  • The linear model accurately represents the fundamental lanthanide contraction.
  • While quadratic effects exist in complex systems, they do not invalidate the general linear trend.
  • This study reinforces the established understanding of lanthanide contraction.