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Topics referred to by the same term
Crystallographic axis may refer to a: rotational symmetry axis in a crystal crystallographic screw axis direct or reciprocal axis of a crystal's unit
Crystallographic_axis
Classification of a two-dimensional repetitive pattern
A wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of a two-dimensional repetitive pattern, based
Wallpaper_group
Classification system for crystals
In crystallography, a crystallographic point group is a three-dimensional point group whose symmetry operations are compatible with the translational symmetry
Crystallographic_point_group
Distribution of crystallographic orientations in a polycrystalline material
In materials science and related fields, crystallographic texture is the distribution of crystallographic orientations of a polycrystalline sample. A sample
Crystallographic_texture
Symmetry group of a configuration in space
Bieberbach groups. In crystallography, space groups are also called the crystallographic or Fedorov groups, and represent a description of the symmetry of the
Space_group
Beryl variety
Mn2+ ions. Morganite is pleochroic; when it is viewed down its crystallographic axis the color is more pink. In comparison to emerald, morganite has
Morganite_(gem)
crystals typically have 3, 4, 6, 8 or 12 faces which are parallel to a crystallographic axis. The apatite group of minerals commonly exhibit elongated hexagonal
Prism_(geology)
{n}{m}}} or n/m. For example, 41/a means that the crystallographic axis in question contains both a 41 screw axis as well as a glide plane along a. In Schoenflies
List_of_space_groups
Ordered arrangement of atoms, ions, or molecules in a crystalline material
}|}}} The crystallographic directions are geometric lines linking nodes (atoms, ions or molecules) of a crystal. Likewise, the crystallographic planes are
Crystal_structure
comparing zone axis subsets in lattice-fringe fingerprint plots with entries in a lattice-fringe fingerprinting database. Crystallographic databases differ
Crystallographic_database
Notation to represent symmetry in point groups, plane groups and space groups
3-fold rotation axis generates a 3 rotoinversion axis. Groups with n = ∞ are called limit groups or Curie groups. These are the crystallographic groups of a
Hermann–Mauguin_notation
Crystalline chemical element or compound formed by geologic processes
represent the angle opposite the respective crystallographic axis (e.g. α is the angle opposite the a-axis, viz. the angle between the b and c axes): The
Mineral
Region of a magnetic material in which the magnetization has uniform direction
domain to domain in a more or less random manner, although certain crystallographic axis may be preferred by the magnetic moments, called easy axes. Weiss
Magnetic_domain
Technique used to classify metamorphic activity in pelitic rocks
maximum for the X-ray diffraction reflection peak along the (001) crystallographic axis of the rock sample. This value is an indirect measurement of the
Illite_crystallinity
Study of interactions between sound and light
{\displaystyle \alpha } : the angle between the acoustic wave vector and the crystallographic axis z of the crystal; γ {\displaystyle \gamma } : the wedge angle between
Acousto-optics
Iron-aluminium phosphate mineral
hexagonal system, and is noted as having the longest crystallographic axis of any known mineral: the c-axis of the taranakite unit cell is 9.505 nanometers
Taranakite
Topics referred to by the same term
thin-film substrate whose surface normal deviates slightly from a major crystallographic axis. In physics, the exclusion zone of changed physical/molecular structure
Vicinal
Geometric transformation which produces an identical image
Combinations of operations of the crystallographic point groups with the addition symmetry operations produce the 230 crystallographic space groups. Molecular symmetry
Symmetry_operation
Theorem about admissible crystal symmetries
The crystallographic restriction theorem characterizes the possible orders of rotational symmetry in a lattice. In 2 or 3 dimensions, the rotational symmetries
Crystallographic restriction theorem
Crystallographic_restriction_theorem
Direction of no double refraction
calcite and quartz). In these crystals, the optic axis coincides with the crystallographic c-axis, and the refractive index is the same in all directions
Optic_axis_of_a_crystal
The symmetry group at each lattice point is an axial crystallographic point group with the main axis being perpendicular to the lattice plane. Table of
Layer_group
Notation system for crystal lattice planes
\beta ^{*}}}}} Crystallographic directions are lines linking nodes (atoms, ions or molecules) of a crystal. Similarly, crystallographic planes are planes
Miller_index
Oxide mineral
dependent on the crystallographic orientation along the fiber axis. The fiber exhibits a max modulus of 461 GPa when the crystallographic c-axis [0001] is aligned
Corundum
Correspondence between quaternions and 3D rotations
molecular dynamics, flight dynamics, orbital mechanics of satellites, and crystallographic texture analysis. When used to represent rotation, unit quaternions
Quaternions and spatial rotation
Quaternions_and_spatial_rotation
more than one axis of rotation or with a mirror plane perpendicular to an axis of rotation cannot be polar. Of the 32 crystallographic point groups, 10
Polar_point_group
High symmetry orientation of a crystal
rule of crystallographic "dual vector spaces in 3D", e.g. reciprocal lattices, is that the condition for a direct lattice vector [uvw] (or zone axis) to be
Zone_axis
Means of describing a crystal structure
William Burton Pearson and is used extensively in Pearson's handbook of crystallographic data for intermetallic phases. The symbol is made up of two letters
Pearson_symbol
Classification of crystalline materials by their three-dimensional structural geometry
crystal systems consist of 32 crystal classes (corresponding to the 32 crystallographic point groups) as shown in the following table below: There are seven
Crystal_system
Groups of point isometries in 3 dimensions
groups and frieze groups. The crystallographic groups have n restricted to 1, 2, 3, 4, and 6; removing crystallographic restriction allows any positive
Point groups in three dimensions
Point_groups_in_three_dimensions
Description of the orientation of a rigid body
reference system; same rotation axis, same angles, but now the coordinate system rotates, rather than the vector). (Crystallographic Texture will typically use
Euler_angles
Notation to represent symmetry in point groups
higher-order axis (order 3 or more) can be arranged as shown in a table below; symbols in red are rarely used. In crystallography, due to the crystallographic restriction
Schoenflies_notation
Process constraining a charged particle's path through a crystal
low-indexed crystallographic directions, which are different for each crystallographic structure, such as FCC or BCC, etc... The low-indexed crystallographic directions
Channelling_(physics)
Crystallographic law
(Bravais lattices). The 32 crystallographic point groups combine the following symmetry elements. If a crystal has an axis of symmetry through its centre
Law of symmetry (crystallography)
Law_of_symmetry_(crystallography)
Rotation composed with a reflection
that is a combination of a rotation about an axis and a reflection in a plane perpendicular to that axis. Reflection and inversion are each a special
Improper_rotation
Nanoscale orientation mapping method
However, on-axis TKD can still be useful for studying samples with high crystallographic symmetry or for verifying the crystallographic orientation of
Transmission Kikuchi diffraction
Transmission_Kikuchi_diffraction
AGATA gamma-ray detector
such as anisotropic carrier drift velocity with respect to the crystallographic axis direction of the Ge crystal are taken into account. Tracking algorithms
AGATA_(gamma-ray_detector)
Type of symmetry group
which classify patterns that are repetitive in two directions, and crystallographic groups, which classify patterns that are repetitive in three directions
Frieze_group
Zircaloy family
strongly by the crystallographic texture, grain size, and competing deformation modes (i.e., dislocation slip), combined with the loading axis and direction
Zirconium_alloys
Innermost part of Earth, a solid ball of iron-nickel alloy
to an observed tendency of iron crystals to grow faster when their crystallographic axes are aligned with the direction of the cooling heat flow. He, therefore
Earth's_inner_core
Technique used for determining crystal structures and identifying mineral compounds
crystal and the positions of the atoms, as well as their chemical bonds, crystallographic disorder, and other information. X-ray crystallography has been fundamental
X-ray_crystallography
740 °C. These different forms are cause by expansion along the crystallographic axises as cesanite is heated. Cesanite has been found in only three places
Cesanite
Symmetry of molecules of chemical compounds
framework on a larger scale is the use of crystal systems to describe crystallographic symmetry in bulk materials. There are many techniques for determining
Molecular_symmetry
Sulfate mineral
in allusion to its color. Amarantite is triclinic, which means crystallographically, it has only one symmetry fold. It must be rotated 360 degrees to
Amarantite
Geometry and crystallography point array
Rolf; Neubüser, Joachim; Wondratschek, Hans; Zassenhaus, Hans (1978), Crystallographic groups of four-dimensional space, New York: Wiley-Interscience [John
Bravais_lattice
Way of visually representing the orientation of objects in 3D space
plane P perpendicular to the axis. The structure of a crystal is often represented by the pole figure of its crystallographic planes. A plane is chosen as
Pole_figure
Motif in solid state chemistry
fluoride is a classic example of a crystal with a fluorite structure. Crystallographic information can be collected via x-ray diffraction, providing information
Fluorite_structure
Crystallographic image processing (CIP) is traditionally understood as being a set of key steps in the determination of the atomic structure of crystalline
Crystallographic image processing
Crystallographic_image_processing
Term used in crystallography
form, twin-crystal or double crystal (such as chiastolite). It is crystallographic twin according to the spinel twin law and is seen in octahedral crystals
Macle
Aluminosilicate mineral
strongly anisotropic, in that its hardness varies depending on its crystallographic direction. In kyanite, this anisotropism can be considered an identifying
Kyanite
Crystallographic electron diffraction technique
Selected area (electron) diffraction (abbreviated as SAD or SAED) is a crystallographic experimental technique typically performed using a transmission electron
Selected_area_diffraction
Type of defect in a crystal
a micropore, microtube, capillary defect, or pinhole defect, is a crystallographic defect in a single-crystal substrate. Minimizing the presence of micropipes
Micropipe
Property of objects which appear unchanged after a partial rotation
Ambigram Axial symmetry Crystallographic restriction theorem Lorentz symmetry Point groups in three dimensions Screw axis Space group Translational
Rotational_symmetry
Group of transformations under which the object is invariant
2, 3, 4, or 6). This crystallographic restriction of the infinite families of general point groups results in 32 crystallographic point groups (27 individual
Symmetry_group
Method to determine atomic positions in solids using an electron microscope
the improvement of the imaging capabilities of electron microscopes crystallographic data is now commonly obtained by combining images with electron diffraction
Electron_crystallography
Ordered arrangement of magnetic spins in a material
ordered arrangement of magnetic spins, typically within an ordered crystallographic lattice. Its study is a branch of solid-state physics. Most solid materials
Magnetic_structure
insulator phase, while stacking of the bismuth atoms along the b crystallographic axis in the β-Bi4I4 phase yield a different topological insulator phase
Bismuth_subhalides
Imperfections in the crystal structure of diamonds and their effects
Ni-vacancy centers was obtained. Chemical vapor deposition of diamond Crystallographic defect Diamond color Diamond enhancement Gemstone irradiation Germanium-vacancy
Crystallographic defects in diamond
Crystallographic_defects_in_diamond
Waterfall and Iceland
(laths) that preferentially align perpendicular to the long axis of the columns. This crystallographic fabric not only contributes to the strength and regularity
Svartifoss
Organic-inorganic composite material produced by some molluscs
at different viewing angles, creating structural colours. The crystallographic c-axis points approximately perpendicular to the shell wall, but the direction
Nacre
Conversely, the Wulff net ("equal-angle projection") is used to plot crystallographic axes and faces. Borradaile, Graham J. (2003). Statistics of Earth science
Schmidt_net
Tree-like structure of crystals
the shape produced by faster growth along energetically favourable crystallographic directions. This dendritic growth has large consequences in regard
Dendrite_(metal)
Linear crystallographic defect or irregularity
In materials science, a dislocation is a linear crystallographic defect or irregularity within a crystal structure that contains an abrupt change in the
Dislocation
Displacement between parts of a crystal along a crystallographic plane
displacement of one part of a crystal relative to another part along crystallographic planes and directions. Slip occurs by the passage of dislocations on
Slip_(materials_science)
Visible shape of a mineral
aggregate of crystals. The habit of a crystal is dependent on its crystallographic form and growth conditions, which generally creates irregularities
Crystal_habit
Pattern of birefringence colors
an interference pattern. However, in practice, only a few different crystallographic orientations are both 1. convenient to identify, to allow a figure
Conoscopic interference pattern
Conoscopic_interference_pattern
Feldspathoid mineral in the cancrinite group
meaning crystallographically it has three horizontal axes of equal length that make an angle of 120° with their positive ends, with a long vertical axis running
Sacrofanite
Designation of positions within a crystallographic space group
and site symmetry for Wyckoff positions. Wyckoff Positions at Bilbao Crystallographic Server Materials Project Database American Mineralogical Society Crystal
Wyckoff_positions
Difference in orientation between two crystallites in a polycrystalline material
such as: Euler angles, Rodrigues vectors, axis/angle (where the axis is specified as a crystallographic direction), or unit quaternions. The effect
Misorientation
Scanning electron microscopy technique
is a scanning electron microscopy (SEM) technique used to study the crystallographic structure of materials. EBSD is carried out in a scanning electron
Electron backscatter diffraction
Electron_backscatter_diffraction
Rare lead tungstate–chloride mineral
three crystallographic axes of unequal lengths, normally referred to as c (the longest axis), b (the second longest axis), and a (the smallest axis). These
Pinalite
Refractive property of materials
symmetry of a crystal structure (as determined by one of the 32 possible crystallographic point groups), crystals in that group may be forced to be isotropic
Birefringence
Geometric arrangements of points, foundational to Lie theory
system that also satisfies the integrality condition is known as a crystallographic root system. Other authors omit condition 2; then they call root systems
Root_system
Chemical compounds known for exhibiting high temperature superconductivity
Cu(1) and Cu(2), with respect to oxygen. It offers four possible crystallographic sites for oxygen: O(1), O(2), O(3), and O(4). Because these kind of
Rare-earth barium copper oxide
Rare-earth_barium_copper_oxide
Phenomenon in crystallization
direction. During twinning, in addition to the twin plane, one more crystallographic plane ( 𝑲2) and a direction (𝜼2) onto that plane remain undistorted
Crystal_twinning
Geometric symmetry operation
occupancy over two or more sites, in which an atom will occupy one crystallographic position in a certain percentage of polyhedra and the other in the
Point_reflection
Use of ions to cause chemical changes
while furnace annealing can achieve better uniformity. The amount of crystallographic damage can be enough to completely amorphize the surface of the target:
Ion_implantation
Protein family
phylogenetic analysis of adenovirus hexons by use of high-resolution x-ray crystallographic, molecular modeling, and sequence-based methods". Journal of Virology
Hexon_protein
Radius of an atomic ion in crystals
His data gives the O2− ion a radius of 140 pm. A major review of crystallographic data led Shannon to publish revised ionic radii. Shannon gives different
Ionic_radius
Free crystallographic software
CrysTBox (Crystallographic Tool Box) is a suite of computer tools designed to accelerate material research based on transmission electron microscope images
CrysTBox
In geometry, property of being directionally dependent
etchants used to etch a certain material preferentially over certain crystallographic planes (e.g., KOH etching of silicon [100] produces pyramid-like structures)
Anisotropy
Silica mineral, polymorph of quartz
two-fold screw axis), so only one of the three degenerate cubic crystallographic axes retains a fourfold rotational axis (actually a screw axis) in the tetragonal
Cristobalite
Chemical compound
S2CID 122953651. Wood, E.A.; Holden, A.N. (1957). "Monoclinic glycine sulfate: crystallographic data". Acta Crystallogr. 10 (2): 145–146. Bibcode:1957AcCry..10..145W
Triglycine_sulfate
Hydrous calcium sulfo-aluminate
which affects the intercolumn material. The first X-ray diffraction crystallographic study was done by Bannister, Hey and Bernal (1936), which found that
Ettringite
orientation: p1, p2, pmm, pgg, cmm. If the point group is constrained to be a crystallographic point group, a symmetry of some three-dimensional lattice, then the
Line_group
Cyclosilicate mineral group
Machine US localities, antique references Webmineral elbaite page, crystallographic and mineral information on elbaite Tourmaline History and Lore at GIA
Tourmaline
Geometric transformation combining reflection and translation
hyperplane of reflection is a straight line called the glide line or glide axis. When the context is three-dimensional space, the hyperplane of reflection
Glide_reflection
Subarea of scattering in physics
pattern does not change, as the sample is rotated about a unique axis (the fiber axis). Such uniaxial symmetry is frequent with filaments or fibers consisting
Fiber_diffraction
Relationship between materials which compose a rock
amongst the component particles or crystals are referred to as the crystallographic texture or preferred orientation. Textures can be quantified in many
Texture_(geology)
Point defect in diamonds
state are presumably too broad for EPR detection. Crystallographic defects in diamond Crystallographic defect Germanium-vacancy center in diamond Material
Nitrogen-vacancy_center
Symbol used in coordination chemistry
Report of the International Union of Crystallography Commission on Crystallographic Nomenclature Subcommittee on the Nomenclature of Inorganic Structure
Polyhedral_symbol
Crystallographic concept
. Next take the Bravais lattice with the axis a,b,c and choose an origin. From the origin move on the axis by respectively. For example, if the miller
Lattice_plane
3D symmetry group
groups compatible with translational symmetry. They are among the crystallographic point groups of the cubic crystal system. As the hyperoctahedral group
Octahedral_symmetry
Application of an external magnetic field to a ferromagnet
jumps in magnetization called Barkhausen jumps. This effect is due to crystallographic defects such as dislocations. Magnetic hysteresis loops are not exclusive
Magnetic_hysteresis
Crystal growth process relative to the substrate used as seed
most epitaxial growths, the new layer is usually crystalline and each crystallographic domain of the overlayer must have a well-defined orientation relative
Epitaxy
Mechanism by which materials form into and are attracted to magnets
dependence of the energy on the direction of magnetization relative to the crystallographic lattice. Another common source of anisotropy, inverse magnetostriction
Ferromagnetism
Structure formed by double-stranded molecules
along the helix axis. Tilt: rotation around the shift axis. Roll: rotation around the slide axis. Twist: rotation around the rise axis. X-displacement
Nucleic_acid_double_helix
does not exhibit the same symmetry as the original unit cell of the crystallographic lattice, a superstructure will result. In this case, the superspots
Superstructure (condensed matter)
Superstructure_(condensed_matter)
Discrete subgroup of the real projective special linear group of dimension 2
In some sense, Fuchsian groups do for non-Euclidean geometry what crystallographic groups do for Euclidean geometry. Some Escher graphics are based on
Fuchsian_group
Four-dimensional number system
graphics, computer vision, robotics, magnetic resonance imaging and crystallographic texture analysis. They can be used alongside other methods of rotation
Quaternion
Zirconium silicate mineral
microstructures in shocked zircon from the Vredefort Dome at multiple scales: Crystallographic modeling, external and internal imaging, and EBSD structural analysis"
Zircon
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