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Solid-State and Structural Inorganic Chemistry

Solid-state and structural inorganic chemistry describes how atoms and ions pack into extended crystalline solids and how those arrangements determine lattice energy, defects, and electronic behaviour.

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Definition

Solid-state and structural inorganic chemistry is the study of the crystal structures, bonding energetics, defect chemistry, and electronic structure of extended inorganic solids such as ionic compounds, metals, and network materials.

Scope

This area covers the structures and energetics of extended inorganic solids: close-packed and ionic lattices and their common structure types, the Born–Haber and Born–Landé treatments of lattice energy, radius-ratio and Pauling's rules for predicting structure, point and extended defects and nonstoichiometry, and the band-structure view that distinguishes insulators, semiconductors, and metals. It treats inorganic crystal chemistry specifically; broad materials synthesis and device applications belong to materials chemistry, and the detailed band theory of metals to condensed-matter physics.

Sub-topics

Core questions

  • How do ions and atoms pack to form the common crystal structure types?
  • What determines the lattice energy of an ionic solid, and how is it measured?
  • How do defects and nonstoichiometry arise, and how do they affect properties?
  • Why are some inorganic solids insulators while others conduct?

Key concepts

  • Close packing and interstitial holes
  • Common structure types (rock salt, fluorite, perovskite)
  • Madelung constant and lattice energy
  • Born–Haber cycle
  • Point defects and nonstoichiometry
  • Bands, gaps, and conductivity

Key theories

Ionic model and lattice energy
Treating an ionic crystal as an array of point charges, the Born–Landé and Born–Mayer equations combine the Madelung electrostatic sum with short-range repulsion to give lattice energies that agree with Born–Haber cycle values.
Close packing and structure-type rules
Many inorganic solids derive from close-packed anion arrays with cations in octahedral or tetrahedral holes; radius-ratio arguments and Pauling's rules predict coordination and the favoured structure type.
Band theory of solids
Overlap of atomic orbitals across a crystal broadens discrete levels into bands; the size of the gap between filled and empty bands distinguishes insulators, semiconductors, and metals among inorganic solids.

Clinical relevance

Understanding inorganic solid structures underpins the design of catalysts, ionic conductors for batteries and fuel cells, semiconductors, pigments, and ceramics, where defect chemistry and band structure control performance.

History

Structural inorganic chemistry was launched by the discovery of X-ray diffraction by von Laue and the Braggs around 1912, which made it possible to determine crystal structures directly. Pauling's 1929 rules and Goldschmidt's work on ionic radii systematized the prediction of structure, and the later development of band theory connected inorganic crystal chemistry to electronic properties.

Key figures

  • Linus Pauling
  • Max von Laue
  • William Lawrence Bragg
  • Victor Goldschmidt

Related topics

Seminal works

  • pauling1929
  • west2014
  • wells2012

Frequently asked questions

What is lattice energy and why does it matter?
Lattice energy is the energy released when gaseous ions combine to form an ionic solid; it governs melting points, hardness, and solubility, and large lattice energies explain why high-charge, small-ion salts are especially stable and insoluble.
How can a solid be nonstoichiometric?
In compounds containing an element with more than one accessible oxidation state, such as many transition-metal oxides, vacancies or interstitials can form while charge balance is maintained by changing the metal oxidation state, giving compositions that depart from simple whole-number ratios.

Methods for this concept

Related concepts