Linked from

The 102 pages that link to Crystal lattice, each with the reason it gives.

• Crystal structureRelated: It separates the repeating geometry from the atoms or molecules placed at each point.

• Ionic compoundRelated: Many ionic compounds form extended lattices rather than separate ion pairs or molecules.

• Thermal expansionRelated: Lattice spacing changes provide a microscopic description of expansion in crystals.

• CrystallizationRelated: It provides the geometric framework that particles adopt as order develops.

• Ionic bondingRelated: Ionic solids arrange ions into repeating structures that maximize attraction and limit repulsion.

• Doping (semiconductors)Related: Substitutional dopants occupy lattice sites and inherit their local bonding environment.

• Quadratic formRelated: Evaluating a quadratic form on lattice points leads to questions about represented integers and minima.

• Electrical conductorRelated: The lattice shapes how electrons move and scatter in crystalline conductors.

• Potassium chlorideRelated: Solid KCl adopts a repeating cubic arrangement of alternating ions.

• Ising modelRelated: Its sites define where spins sit and which pairs count as neighbors.

• AntiferromagnetismRelated: The lattice determines which moments count as neighbors.

• PhosphorRelated: The host lattice provides the structure in which many phosphors emit light.

• Titanium dioxideRelated: The lattice arrangement distinguishes rutile, anatase, and other TiO₂ forms.

• Crystal waterRelated: Water occupies specific positions within the repeating structure of many hydrates.

• William Henry BraggRelated: Regularly spaced lattice planes generate the diffraction peaks the Braggs analyzed.

• CrystallinityRelated: A lattice provides the repeating framework used to describe crystalline order.

• Salt (chemistry)Related: Many solid salts arrange their ions in repeating lattices.

• AragoniteRelated: The repeating arrangement of calcium and carbonate units gives aragonite its structure.

• Diophantine approximationRelated: Integer pairs form a lattice whose geometry encodes rational approximation problems.

• Hermann MinkowskiRelated: Lattices provide the geometric setting for Minkowski’s theorems on integer points.

• Hubbard modelRelated: Lattice geometry determines which sites are connected by hopping.

• Tight-binding modelRelated: Lattice sites identify where the model places its localized orbitals.

• Protein crystallographyRelated: The repeating protein lattice causes the discrete diffraction pattern used for structure determination.

• TorusRelated: A rank-two lattice generates the translations used to construct the torus from the plane.

• Barium sulfateRelated: The stable lattice contributes to barium sulfate’s low water solubility.

• Heisenberg modelRelated: The chosen lattice determines which spins interact and how they are connected.

• Calcium chlorideRelated: Solid calcium chloride consists of an ordered ionic arrangement rather than discrete CaCl₂ molecules.

• Crystallographic point groupRelated: Its periodicity restricts which rotations can preserve a crystal.

• Oxide ionRelated: Oxide ions occupy ordered sites among cations in many solid oxides.

• Electron backscatter diffractionRelated: The lattice planes determine the diffraction geometry recorded in EBSD patterns.

• Nearly-free-electron modelRelated: Its periodicity creates the potential that perturbs otherwise free electrons.

• LabradoriteRelated: Labradorite’s mineral identity and internal optical structures depend on its crystal organization.

• Metal oxideRelated: Lattice structure helps determine an oxide’s stability, hardness, and electrical behavior.

• Barium oxideRelated: The solid compound’s ions occupy an ordered lattice rather than isolated molecular units.

• René Just HaüyRelated: Modern crystallography expresses the kind of repetition Haüy inferred in simpler terms.

• Max von LaueRelated: Its regular spacing causes scattered X-rays to reinforce in particular directions.

• PolaronRelated: Its sites and vibrations provide the environment distorted by a polaron.

• CrystalliteRelated: Its repeating geometry describes the internal order within a crystallite.

• RecrystallizationRelated: Changes in lattice defects and orientation underlie the reorganization of mineral grains.

• Lattice modelRelated: Periodic lattices provide the geometry on which many models place their variables.

• Crystal engineeringRelated: The lattice provides the structural framework in which molecular packing repeats.

• Lawrence BraggRelated: Its repeating planes produce the regular diffraction maxima described by Bragg’s law.

• Arthur Moritz SchoenfliesRelated: Crystal translations constrain which rotations and reflections can preserve a periodic arrangement.

• Impurity (semiconductors)Related: An impurity occupies a lattice site or a space between lattice atoms.

• X unitRelated: The calcite definition depends on regularly repeated atomic planes.

• AntozoniteRelated: The fluorite lattice can hold defects and trapped products of radiation damage.

• Valence and conduction bandsRelated: Its periodic potential shapes the allowed electronic energies.