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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.

• X-ray crystallographyNarrower topic: The lattice’s periodicity creates the regular diffraction pattern used in structure determination.

• 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.

• Crystal systemNarrower topic: Crystal systems classify the symmetries and geometries possible for periodic crystal structures.

• X-ray diffractionNarrower topic: Periodic lattice order gives rise to discrete diffraction reflections.

• 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.

• PhononNarrower topic: Its periodicity sets the allowed wavevectors and vibrational patterns for phonons.

• DislocationNarrower topic: Dislocations are deviations from this repeating arrangement.

• AnisotropyNarrower topic: Lattice arrangement provides the structural basis for many crystalline anisotropies.

• Ice crystalNarrower topic: The lattice is the repeating spatial pattern occupied by molecules in crystalline ice.

• Unit cellNarrower topic: The unit cell is a finite region whose translations generate this periodic arrangement.

• Metallic bondingNarrower topic: The positively charged metal ions occupy ordered sites within a lattice.

• Orthorhombic crystal systemNarrower topic: The orthorhombic unit cell repeats through a lattice to describe crystal periodicity.

• Lattice energyNarrower topic: The three-dimensional arrangement determines which electrostatic interactions contribute to lattice energy.

• 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.

• Reciprocal latticeNarrower topic: The reciprocal lattice is defined from this underlying periodic arrangement.

• 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.

• Brillouin zoneNarrower topic: Its periodicity determines the geometry of the reciprocal lattice.

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

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

• Point defectNarrower topic: Point defects are departures from the regular atomic positions represented by a lattice.

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

• Crystal growthNarrower topic: Growth extends a lattice by placing new particles into compatible positions.

• MoleculeCompared with: An extended lattice has no single discrete molecular unit in many solids.

• QuasicrystalCompared with: Periodic crystals have lattice translations; quasicrystals do not.

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

• Rock salt structureNarrower topic: The rock salt arrangement is one specific three-dimensional crystal lattice.

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

• Band structureNarrower topic: Its periodicity supplies the symmetry underlying electronic bands.

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

• Cubic crystal systemNarrower topic: Cubic crystal structures arise from lattices compatible with cubic symmetry.

• Hexagonal crystal systemNarrower topic: Its translational symmetry underlies the hexagonal system’s unit-cell geometry.

• 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.

• Optical latticeCompared with: A crystal's sites are material constituents; optical-lattice sites are light-defined traps for mobile atoms.

• Band theoryNarrower topic: Its repeating potential shapes the electron states from which bands emerge.

• Cleavage (crystal)Narrower topic: Cleavage planes follow directions through this repeating atomic arrangement.

• Crystal habitNarrower topic: The lattice constrains which faces and shapes a growing crystal can develop.

• 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.

• Molecular beam epitaxyNarrower topic: The substrate lattice guides the arrangement of atoms deposited during epitaxial growth.

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

• Oxygen vacancyNarrower topic: The vacancy is defined by the oxygen site missing from this repeating arrangement.

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