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Online Dictionary of Crystallography

The branch of science devoted to the study of molecular and crystalline structure and properties, with far-reaching applications in mineralogy, chemistry, physics, mathematics, biology and materials science.

Inorganic Chemistry Chemistry

Author: Commission on Crystallographic Nomenclature
Publisher: International Union of Crystallography
Source: LibreTexts
License: CC BY
Language: EN
Category: Basic Sciences

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Contents· 227 sections

01: Fundamental Crystallography
1.01: Abelian group
1.02: Absolute structure
1.03: Affine Isomorphism
1.04: Affine mapping
1.05: Aperiodic crystal
1.06: Aristotype
1.07: Arithmetic crystal class
1.08: Asymmetric Unit
1.09: Automorphism
1.10: Binary Operation
1.11: Bragg's Law
1.12: Bravais-Miller indices
1.13: Bravais class
1.14: Bravais flock
1.15: Bravais lattice
1.16: Brillouin zones
1.17: Cartesian product
1.18: Center
1.19: Centered lattices
1.20: Centralizer
1.21: Complex
1.22: Conjugacy class
1.23: Conventional cell
1.24: Coset
1.25: Crystal
1.26: Crystallographic basis
1.27: Crystallographic orbit
1.28: Crystallographic symmetry
1.29: Crystal family
1.30: Crystal pattern
1.31: Crystal system
1.32: Direct Lattice
1.33: Direct product
1.34: Direct space
1.35: Displacive modulation
1.36: Domain of influence
1.37: Double coset
1.38: Dual basis
1.39: D centered cell
1.40: Eigensymmetry
1.41: Euclidean mapping
1.42: Factor group
1.43: Family structure
1.44: Fixed-point-free space groups
1.45: Flack parameter
1.46: Form
1.47: Friedel's law
1.48: Geometric crystal class
1.49: Geometric element
1.50: Group
1.51: Groupoid
1.52: Group homomorphism
1.53: Group isomorphism
1.54: Hemihedry
1.55: Holohedry
1.56: H centered cell
1.57: Image
1.58: Incommensurate composite crystal
1.59: Incommensurate magnetic structure
1.60: Incommensurate modulated structure
1.61: Lattice
1.62: Lattice complex
1.63: Lattice system
1.64: Laue classes
1.65: Limiting complex
1.66: Local symmetry
1.67: Mapping
1.68: Merohedral
1.69: Merohedry
1.70: Mesh
1.71: Miller Indices
1.72: Modulated crystal structure
1.73: Normalizer
1.74: Normal subgroup
1.75: OD structure
1.76: Ogdohedry
1.77: Order
1.78: Partial symmetry
1.79: Patterson methods
1.80: Patterson vector
1.81: Point configuration
1.82: Point group
1.83: Point space
1.84: Point symmetry
1.85: Polytypism
1.86: Primitive basis
1.87: Primitive cell
1.88: Priority rule
1.89: Pseudo symmetry
1.90: Reciprocal lattice
1.91: Reciprocal Space
1.92: Semidirect product
1.93: Site symmetry
1.94: Space group
1.95: Stabilizer
1.96: Statistical descriptors
1.97: Subcell
1.98: Subgroup
1.99: Sublattice
1.100: Subperiodic group
1.101: Supercell
1.102: Supergroup
1.103: Superlattice
1.104: Symmetry element
1.105: Symmetry operation
1.106: Symmorphic space groups
1.107: Tetartohedry
1.108: Unit cell
1.109: Vector module
1.110: Vector space
1.111: Voronoi domain
1.112: Weissenberg complex
1.113: Wigner-Seitz cell
1.114: Wyckoff position
1.115: Wyckoff set
02: History of Crystallography
2.01: Lepton
03: X-rays
3.01: Absorption edge
3.02: Anomalous absorption
3.03: Anomalous dispersion
3.04: Anomalous scattering
3.05: Borrmann Effect
3.06: Bragg's law
3.07: Bragg angle
3.08: CromerMann coefficients
3.09: Dynamical diffraction
3.10: Dynamical theory of Scattering
3.11: Electron density map
3.12: Ewald sphere
3.13: F(000)
3.14: Friedel's Law
3.15: Friedel pair
3.16: Integral reflection conditions
3.17: Kinematical theory
3.18: Laue equations
3.19: Lorentzpolarization correction
3.20: Mosaic crystal
3.21: Primary extinction
3.22: Reflection conditions
3.23: Resolution
3.24: Resonant scattering
3.25: Secondary extinction
3.26: Serial reflection conditions
3.27: Structure Factor
3.28: Systematic absences
3.29: Zonal reflection conditions
04: Crystal Chemistry
4.01: Diadochy
4.02: Isomorphous Crystals
4.03: Isostructural Crystals
05: Structure Determination
5.01: Bragg R factor
5.02: Constrained refinement
5.03: Direct methods
5.04: Free R factor
5.05: Harker section
5.06: Heavy-Atom Method
5.07: Phase problem
5.08: Refinement
5.09: Restrained refinement
5.10: Rietveld method
5.11: R factor
5.12: Sharpened Patterson function
5.13: Structure-factor coefficient
5.14: Structure amplitude
5.15: Structure determination
5.16: Superposition methods
06: Physical Properties of Crystals
6.01: Atomic Scattering Factor
6.02: Curie laws
6.03: Cylindrical system
6.04: Dual basis
6.05: Electrocaloric effect
6.06: Metric tensor
6.07: Neumann's Principle
6.08: Piezoelectricity
6.09: Pyroelectricity
6.10: Spherical Systems
6.11: Thermal expansion
07: Morphological Crystallography
7.01: Law of Rational Indices
7.02: Law of the constancy of interfacial angles
7.03: Polar Lattice
7.04: Zone axis
08: Powder Diffraction
8.01: Preferred orientation
09: Twinning
9.01: Allotwin
9.02: Corresponding Twins
9.03: Hybrid twin
9.04: Inversion twin
9.05: Mallard's Law
9.06: Reflection twin
9.07: Rotation Twin
9.08: Selective merohedry
9.09: TLQS twinning
9.10: TLS twinning
9.11: Twinning
9.12: Twinning(effects of)
9.13: Twinning (consequences of)
9.14: Twinning (endemic conditions of)
9.15: Twinning by inversion
9.16: Twinning by merohedry
9.17: Twinning by metric merohedry
9.18: Twinning by psuedomerohedry
9.19: Twinning by reticular merohedry
9.20: Twinning by reticular polyholohedry
9.21: Twinning by reticular pseudomerohedry
9.22: Twin element
9.23: Twin index
9.24: Twin lattice
9.25: Twin law
9.26: Twin obliquity
9.27: Twin operation
10: Biological Crystallography
10.01: Difference Patterson map
10.02: Isomorphous replacement
10.03: Maximum likelihood
10.04: Molecular Replacement
10.05: Multiwavelength anomalous diffraction (MAD)
10.06: Noncrystallographic symmetry
10.07: Optical resolution
10.08: Real-space correlation coefficient
10.09: Real-space residual
10.10: Sohncke groups