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Related Concept Videos

Coordination Number and Geometry02:57

Coordination Number and Geometry

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For transition metal complexes, the coordination number determines the geometry around the central metal ion. Table 1 compares coordination numbers to molecular geometry. The most common structures of the complexes in coordination compounds are octahedral, tetrahedral, and square planar.
19.0K
Coordination Compounds and Nomenclature02:54

Coordination Compounds and Nomenclature

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In most main group element compounds, the valence electrons of the isolated atoms combine to form chemical bonds that satisfy the octet rule. For instance, the four valence electrons of carbon overlap with electrons from four hydrogen atoms to form CH4. The one valence electron leaves sodium and adds to the seven valence electrons of chlorine to form the ionic formula unit NaCl (Figure 1a). Transition metals do not normally bond in this fashion. They primarily form coordinate covalent bonds, a...
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Rationalizing Substitutions01:29

Rationalizing Substitutions

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Integrals involving non-rational functions are often difficult to evaluate using standard techniques, especially when radicals appear in the integrand. Rationalizing substitution provides a systematic method for simplifying such integrals by converting them into rational forms that are easier to handle.Consider a rod whose linear mass density depends on a constant linear density, a characteristic length, and the distance from the left end of the rod. Determining the total mass requires...
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Rational Expressions01:28

Rational Expressions

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Rational expressions are algebraic fractions in which both the numerator and the denominator are polynomials. These expressions follow the arithmetic rules of numerical fractions but require extra care due to the presence of variables. A fundamental part of working with rational expressions is identifying values that make the expression undefined, typically those that result in division by zero or undefined radicals.Determining the DomainThe domain of a rational expression includes all real...
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Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

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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
Imagine taking a large number of identical...
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Structural Isomerism02:34

Structural Isomerism

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Isomerism in Complexes
Isomers are different chemical species that have the same chemical formula. Structural isomerism of coordination compounds can be divided into two subcategories, the linkage isomers and coordination-sphere isomers.
Linkage isomers occur when the coordination compound contains a ligand that can bind to the transition metal center through two different atoms. For example, the CN− ligand can bind through the carbon atom or through the nitrogen atom. Similarly, SCN− can...
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Coordination-dependent surface strain and rational construction of robust structures.

Yupei Han1, Xiaopeng Jing1, Xingzhi Zhou1

  • 1School of Physics, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, People's Republic of China.

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Surface relaxation significantly enhances the stiffness of nanoscale materials. This effect is crucial for understanding the mechanical properties of low-dimensional structures and optimizing their performance.

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Area of Science:

  • Materials Science
  • Nanotechnology
  • Solid Mechanics

Background:

  • Nanoscale structures exhibit unique properties due to surface effects.
  • Understanding surface relaxation is key to predicting material behavior at the nanoscale.

Purpose of the Study:

  • To establish a surface relaxation model for studying elastic properties of nanoscale structures.
  • To investigate the influence of surface relaxation on material stiffness and strain gradients.

Main Methods:

  • Development of a surface relaxation model.
  • Analysis of coordination-dependent strain and thickness-dependent stiffness.
  • Examination of surface effects on honeycomb and octet-truss structures.

Main Results:

  • Surface relaxation enhances the stiffness of low-dimensional materials.
  • A significant strain gradient exists in surface atomic layers.
  • Young's modulus decreases with decreasing strut size in nanobeam-assembled structures.

Conclusions:

  • Surface relaxation is a critical factor in the mechanical properties of nanoscale materials.
  • Tensile strain engineering can decouple Young's modulus and relative density in nanostructures.