Ionic Radius

Ionic radius is an effective measure of an ion’s size, typically derived from interionic distances in crystals and essential for interpreting bonding, structure, and periodic trends. Its value depends on nuclear charge, electron configuration, oxidation state, and coordination number: greater positive charge generally contracts a cation, whereas electron addition expands anions because of electron-electron repulsion; a shared distance between neighboring ions is apportioned into their radii. Chemists use ionic radii to estimate bond lengths, compare lattice energies, predict crystal structures, and assess substitution of one ion for another in minerals, ceramics, and coordination compounds.

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JoVE Core - Chemistry

Ionic Radii

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2020

Ionic radius is the measure used to describe the size of an ion. A cation always has fewer electrons and the same number of protons as the parent atom; it is smaller than the atom from which it is derived. For example, the covalent radius of an aluminum atom (1s22s22p63s23p1) is 118 pm, whereas the ionic radius of an Al3+ (1s22s22p6) is 68 pm. As electrons are removed from the outer valence shell, the remaining core electrons occupying smaller shells experience a greater effective nuclear...

Radius of Gyration of an Area

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2025

The second moment of area, also known as the moment of inertia of area, is a crucial factor in understanding an object's resistance against bending deformation, or stiffness. To accurately estimate the second moment of area along any axis, one needs to concentrate all areas associated with that object into a thin strip, which should be placed parallel to that particular axis. As a result, the distance between this strip and the concerned axis can be determined by calculating its radius of...

Molecular and Ionic Solids

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2020

Crystalline solids are divided into four types: molecular, ionic, metallic, and covalent network based on the type of constituent units and their interparticle interactions. Molecular Solids Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...

Solubility of Ionic Compounds

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2020

Solubility is the measure of the maximum amount of solute that can be dissolved in a given quantity of solvent at a given temperature and pressure. Solubility is usually measured in molarity (M) or moles per liter (mol/L). A compound is termed soluble if it dissolves in water. When soluble salts dissolve in water, the ions in the solid separate and disperse uniformly throughout the solution; this process represents a physical change known as dissociation. Potassium chloride (KCl) is an example...

Ionic Crystal Structures

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2020

Ionic crystals consist of two or more different kinds of ions that usually have different sizes. The packing of these ions into a crystal structure is more complex than the packing of metal atoms that are the same size. Most monatomic ions behave as charged spheres, and their attraction for ions of opposite charge is the same in every direction. Consequently, stable structures for ionic compounds result (1) when ions of one charge are surrounded by as many ions as possible of the opposite...

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