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See searches and references containing BURGERS VECTOR!BURGERS VECTOR
Vector representing lattice distortion due to dislocations in a crystal
In materials science, the Burgers vector, named after Dutch physicist Jan Burgers, is a vector, often denoted as b, that represents the magnitude and direction
Burgers_vector
Linear crystallographic defect or irregularity
and direction of movement it causes to atoms which is defined by the Burgers vector. Plastic deformation of a material occurs by the creation and movement
Dislocation
Decomposed form of dislocation that occurs within a crystalline material
pair of partial dislocations. The vector sum of the Burgers vectors of the partial dislocations is the Burgers vector of the extended dislocation. A dislocation
Partial_dislocation
Displacement between parts of a crystal along a crystallographic plane
deformation. The magnitude and direction of slip are represented by the Burgers vector, b. An external force makes parts of the crystal lattice glide along
Slip_(materials_science)
Movement of a screw dislocation between crystallographic planes
movement of edge dislocations is achieved through climb. Since the Burgers vector of a perfect screw dislocation is parallel to the dislocation line,
Cross_slip
Dutch physicist (1895–1981)
is known for the Burgers' equation, the Burgers vector in dislocation theory and the Burgers material in viscoelasticity. Jan Burgers was one of the co-founders
Jan_Burgers
Electron microscopy technique
Dislocations in the sample, described by their Burgers vector b, will appear under the diffracted beam, vector g, when g ⋅ b = 0 {\displaystyle g\cdot b=0}
Weak-beam dark-field microscopy
Weak-beam_dark-field_microscopy
Broad concept generalizing scalars in mathematics and physics
Rotation vector, a Euclidean vector whose direction is that of the axis of a rotation and magnitude is the angle of the rotation. Burgers vector, a vector that
Vector (mathematics and physics)
Vector_(mathematics_and_physics)
Deformation mechanism in crystalline materials
Burgers vector. It equals the distance between two atoms or ions in the crystal lattice. Therefore, each material has its own characteristic Burgers vectors
Dislocation_creep
determined by Burgers vectors. If a Burgers circuit of the unit area normal to the unit vector l j {\displaystyle l_{j}} has a Burgers vector B i {\displaystyle
Geometrically necessary dislocations
Geometrically_necessary_dislocations
Type of defect in crystalline materials
Therefore, a perfect line dislocation in FCC has the burgers vector ½<110>, which is a translational vector. Splitting into two partial dislocations is favorable
Stacking_fault
Heat treatment technique used to increase the yield strength of malleable materials
line and the Burgers vector, L ′ {\displaystyle L^{'}} is the effective particle separation, b {\displaystyle b} is the Burgers vector, and r {\displaystyle
Precipitation_hardening
Alloy with higher durability than normal metals
anti-phase boundary. To give an example, consider a dislocation with a burgers vector of a 2 [ 1 1 ¯ 0 ] {\displaystyle {\frac {a}{2}}\left[1{\bar {1}}0\right]}
Superalloy
Deformation mechanism in crystallines
ribbon-like extrusion. And, where PSBs normally studied with (effective) Burgers vector aligned with the extrusion plane because a PSB extends across the grain
Slip_bands_in_metals
Type of material
deformation. Due to their having close packed arrangements of atoms the Burgers vector of the dislocations are fairly small, which also means that the energy
Metal
Type of defect in a crystal
empty-core screw dislocations with large strain energy (i.e. they have large Burgers vector); they follow the growth direction (c-axis) in silicon carbide boules
Micropipe
Disruption of the periodicity of a crystal lattice
direction and magnitude of such distortion is expressed in terms of a Burgers vector (b). For an edge type, b is perpendicular to the dislocation line, whereas
Crystallographic_defect
Property of solid materials under mechanical stress
through the volume of the material, G is the shear modulus and b is the Burgers vector, σs, and n is the stress exponent which varies between 1 and 3. Twenty-five
Creep_(deformation)
Ordered arrangement of atoms, ions, or molecules in a crystalline material
higher density planes. The perturbation carried by the dislocation (Burgers vector) is along a dense direction. The shift of one node in a more dense direction
Crystal_structure
length of the Burgers vector, ν {\displaystyle \nu } is the Poisson ratio, α {\displaystyle \alpha } is the angle between the Burgers vector and misfit dislocation
Strain_engineering
Set of methods for supervised statistical learning
In machine learning, a support vector machine (SVM) or support vector network is a supervised max-margin model with associated learning algorithms that
Support_vector_machine
Notation system for crystal lattice planes
frequently on dense planes; the perturbation carried by the dislocation (Burgers vector) is along a dense direction: the shift of one node in a dense direction
Miller_index
Object in differential geometry
{\displaystyle v,w} . This displacement is directly analogous to the Burgers vector of crystallography. More generally, one can also transport a moving
Torsion_tensor
Shockley partials combine, they form a separate dislocation with a burgers vector that is not in the slip plane. This is the Lomer–Cottrell dislocation
Lomer–Cottrell_junction
Topologically stable solution of a partial differential equation
dislocations and screw dislocations (that have an integer value of the Burgers vector) Condensed matter Differential equation Dislocation Quantum mechanics
Topological_defect
Partial differential equation
Burgers' equation or Bateman–Burgers equation is a fundamental partial differential equation and convection–diffusion equation occurring in various areas
Burgers'_equation
Interface between crystallites in a polycrystalline material
type of boundary incorporates two sets of screw dislocations. If the Burgers vectors of the dislocations are orthogonal, then the dislocations do not strongly
Grain_boundary
Phenomenon of deformation due to structural stress
the yield stress, G is the shear modulus, b is the magnitude of the Burgers vector, and ρ {\displaystyle \rho } is the dislocation density. By alloying
Yield_(engineering)
Interface between crystal structures
of the dislocation, eventually shifting the entire dislocation by a Burgers vector. The velocity of dislocations through kink propagation also clearly
Kink_(materials_science)
Concept in crystallography
{\displaystyle \nu } = Poisson's ratio b {\displaystyle b} = slip distance or Burgers vector d {\displaystyle d} = interplanar spacing The Peierls stress also relates
Peierls_stress
Microscopic processes responsible for changes in a material's structure, shape and volume
lengths of displacement. The vector that characterizes the length and orientation of the displacement is called the Burgers vector. The development of strong
Deformation_mechanism
Angular defect in a material
an angular vector, called a Frank vector (similarly to Burgers vector in dislocations), and the disclination line. When the Frank vector and the disclination
Disclination
Strengthening a material through plastic deformation
dislocation is dependent on the shear modulus, G, the magnitude of the Burgers vector, b, and the dislocation density, ρ ⊥ {\displaystyle \rho _{\perp }}
Work_hardening
Bending of electron beams due to electrostatic interactions with matter
reciprocal lattice vector and V g {\displaystyle V_{g}} the corresponding Fourier coefficient of the potential. The reciprocal lattice vector is often referred
Electron_diffraction
Crystallography journal
CSL Growth Abnormal growth Perfect crystal Stacking fault Dislocation Burgers vector Partial dislocation Kink Cross slip Frank–Read source Cottrell atmosphere
Kristallografija
Process of forming new, defect-free crystal grains within a material
where ρ is the dislocation density, G is the shear modulus, b is the Burgers vector of the dislocations, γs is the subgrain boundary energy and ds is the
Recrystallization (metallurgy)
Recrystallization_(metallurgy)
Model for the generation of specific dislocations in crystals under deformation
force F = τ ⋅ b x {\displaystyle F=\tau \cdot bx} , where b is the Burgers vector of the dislocation and x is the distance between the pinning sites A
Frank–Read_source
Theory in continuum mechanics
between Peierls valleys, b {\displaystyle b} is the magnitude of the Burgers vector, ν {\displaystyle \nu } is the Debye frequency, w {\displaystyle w}
Viscoplasticity
Method of strengthening materials by changing grain size
{\frac {Gb}{r}},} where G is the material's shear modulus, b is the Burgers vector, and r is the distance from the dislocation. If the dislocations are
Grain_boundary_strengthening
Mesoscale computational technique
are described by the Schmid tensor, which is tensor product of the Burgers vector and the slip plane normal, and the Schmid tensor is used to obtain the
Crystal_plasticity
Theory of gravity
(up/down, forward/backwards and left/right) crystal bonds transversed. The Burgers vector corresponds to the torsion. Disinclinations correspond to curvature
Teleparallelism
and botanist and founder of virology Jan Burgers, Dutch physicist, known for Burgers' equation and Burgers vector Jo Coenen, Dutch architect Dirk Coster
List of Delft University of Technology faculty
List_of_Delft_University_of_Technology_faculty
Reduction in the dislocation density of a material's grains
simplest case is that of an array of edge dislocations of identical Burger's vector. This idealized case can be produced by bending a single crystal that
Recovery_(metallurgy)
Type of steel
b{\frac {n}{L}}} where M is the Taylor factor, μ the shear modulus, b the Burgers vector of dislocations, and n the number of dislocations stored at the barriers
TWIP_steel
X-ray imaging technique
of an edge dislocation if the scattering vector of the Bragg reflection used is parallel to the Burgers vector of the dislocation, or at least has a component
Diffraction_topography
{\displaystyle G} is the shear modulus, b {\displaystyle b} is the Burgers vector, and ρ ⊥ {\displaystyle \rho _{\perp }} is the dislocation density.
Strengthening mechanisms of materials
Strengthening_mechanisms_of_materials
History of chemical crystallography to 1895
CSL Growth Abnormal growth Perfect crystal Stacking fault Dislocation Burgers vector Partial dislocation Kink Cross slip Frank–Read source Cottrell atmosphere
Chemical crystallography before X-rays
Chemical_crystallography_before_X-rays
fraction of precipitates, r is the radius of the precipitate, and b is the burgers vector of the dislocation. In the later stages of precipitation, the analogous
Anti-phase_domain
Material deformation mechanism
constant D {\displaystyle D} = diffusion coefficient b {\displaystyle b} = Burgers vector k {\displaystyle k} = Boltzmann constant T {\displaystyle T} = temperature
Grain_boundary_sliding
Statistical model for 2D crystals
distance between the dislocations. b → {\displaystyle {\vec {b}}} is the Burgers vector and denotes the orientation of the dislocation at position r → k {\displaystyle
KTHNY_theory
Bumblebee models Bunji Sakita Bunsaku Arakatsu Buoyancy Burgers' equation Burgers material Burgers vector Burkard Hillebrands Burkhard Heim Burns temperature
Index_of_physics_articles_(B)
Group of metalworking techniques
{\displaystyle d_{min}} is the minimum grain size b {\displaystyle b} is the Burgers vector A 3 {\displaystyle A_{3}} is a constant β = Q p − Q m / Q {\displaystyle
Severe_plastic_deformation
Measure for strength of a material
{\displaystyle G} is the shear modulus, b {\displaystyle b} is the Burgers vector, and ρ d {\displaystyle \rho _{d}} is the dislocation density. Spallation
Spall_strength
}}\right)^{-p}} , d is the average grain size; b is the length of the Burgers vector; K is a non-dimensional temperature-dependent constant, which is typically
Paleostress_inversion
Class of cements, mechanically processed to transform reactivity
\rho } correspond respectively to the molar volume of the material, Burgers vector, shear modulus and dislocation density; C A {\displaystyle C_{A}} and
Energetically_modified_cement
structure was the roof of a small pavilion at Burgers' Zoo in 1982. On May 1st 2025, the assets of Vector Foitec GmbH were taken over in a management buyout
Vector_Foiltec
Type of alloying which improves strength of pure metals
the solute atoms, G is the shear modulus, b is the magnitude of the Burger's vector, and ϵ {\displaystyle \epsilon } is the lattice strain due to the solute
Solid_solution_strengthening
Microscope diffraction technique
surface relaxation. Instead, they used simulations to determine the Burger vectors of dislocations, laying the grounds for a non-destructive dislocation
Electron channelling contrast imaging
Electron_channelling_contrast_imaging
Dutch physicist (1893–1965)
meaning of Lead vectors and the Burger triangle". American Heart Journal. 48 (5): 730–737. doi:10.1016/0002-8703(54)90065-4. PMID 13197299. Burger, H. C.; A
Herman_Carel_Burger
(L)dL=\lambda b\rho D^{2}} on the tube, where b {\displaystyle b} is the Burgers vectors for the defect, ρ {\displaystyle \rho } is the bending curvature, and
Mechanical properties of carbon nanotubes
Mechanical_properties_of_carbon_nanotubes
Multipurpose arena in New Zealand
Spark Arena (also known as Auckland City Arena, and formerly as Vector Arena) is a multipurpose arena in Auckland, New Zealand. The venue is located at
Spark_Arena
Medical technology
Scientists theorized that a virus could also be used as a vehicle, or vector, to deliver new genes into cells. One of the first scientists to report
Gene_therapy
Video game developer and publisher
Forest Orion Burger Victor Vector & Yondo|Victor Vector & Yondo: The Cyberplasm Formula Victor Vector & Yondo: The Hypnotic Harp Victor Vector & Yondo: The
Sanctuary_Woods
Type of interaction between species
parasitism (by contact), trophically-transmitted parasitism (by being eaten), vector-transmitted parasitism, parasitoidism, and micropredation. One major axis
Parasitism
story, serial December 73 – September 75 Angus Allan ITV Bob's Burgers Bob's Burgers (series 1) 5 issues Limited series August – December 2014 Mike Olsen
List of comics based on television programs
List_of_comics_based_on_television_programs
Games EnjoyUp Games June 10, 2015 June 12, 2014 Unreleased June 26, 2014 VectorRacing Arc System Works Arc System Works August 10, 2011 August 23, 2012
List of Nintendo 3DS games (N–Z)
List_of_Nintendo_3DS_games_(N–Z)
Equation describing the evolution of the vorticity of a fluid particle as it flows
moves with its flow; that is, the local rotation of the fluid (in terms of vector calculus this is the curl of the flow velocity). The governing equation
Vorticity_equation
Scientific law regarding conservation of a physical property
equation Charge conservation Euler equations (fluid dynamics) inviscid Burgers' equation Kinematic wave Conservation of energy Traffic flow Lee, T.D.;
Conservation_law
Subatomic particle; made of equal numbers of quarks and antiquarks
combination is called a vector meson or spin-1 triplet. If two quarks have oppositely aligned spins, the spin vectors add up to make a vector of length S = 0
Meson
rabbit who is one of the four Showstoppers and the main mascot of Bon's Burgers. Bonnie Rabbit Five Nights at Freddy's A purple rabbit who is one of the
List of fictional rabbits and hares
List_of_fictional_rabbits_and_hares
Mathematical model combining space and time
momentum vector is extended to four dimensions. Added to the momentum vector is a time component that allows the spacetime momentum vector to transform
Spacetime
Subset of artificial intelligence
compressor C(.) we define an associated vector space ℵ, such that C(.) maps an input string x, corresponding to the vector norm ||~x||. An exhaustive examination
Machine_learning
Ham Natasha in Who Is Killing the Great Chefs of Europe? Bob in Bob's Burgers Child prodigy / wunderkind These characters are children or youths who
List_of_stock_characters
Type of feedforward neural network
single vector of weights are used across all receptive fields that share that filter, as opposed to each receptive field having its own bias and vector weighting
Convolutional_neural_network
Species of flowering plant in the mint family Lamiaceae
host (especially in Israel) for Hyalesthes obsoletus. This cicada is the vector for black wood disease of grapevines. H. obsoletus prefers V. agnus-castus
Vitex_agnus-castus
Arctangent function with two arguments
for example to find the signed angle representing the orientation of a vector or to calculate the argument of a complex number. The relationships between
Atan2
Multiple states under one central authority, usually created by conquest
largest empires as share of world land and world population. The general vector of these graphs, according to Max Ostrovsky, represents a fragment in hyperbola
Empire
highly effective CRISPR-Cas9 genome editing method without expensive viral vectors, enabling e.g. novel anti-cancer CAR-T cell therapies. 26 August – Researchers
2022_in_science
Branch of mathematics
noun, an algebra is a specific type of algebraic structure that involves a vector space equipped with a certain type of binary operation, a bilinear map.
Algebra
Genus of ticks
Australia". Parasites & Vectors. 16 (1): 317. doi:10.1186/s13071-023-05937-4. ISSN 1756-3305. PMC 10481545. PMID 37670353. Burger, Thomas D.; Shao, Renfu;
Bothriocroton
Computer program that modifies other programs to replicate itself and spread
to activate the payload. Infection mechanism Also called the infection vector, this is how the virus spreads. Some viruses have a search routine, which
Computer_virus
Species of fly
their eggs. Females will bite horses, livestock, and humans, making them vectors of disease for pathogens and parasites. Canada, United States and Mexico
Tabanus_punctifer
Acquired allergy resulting from tick bites
Retrieved 7 March 2026. Zaraska M (3 December 2013). "Want hives with that burger?". The Washington Post. pp. HEALTH, E01. Goetz G (26 June 2012). "Red Meat
Alpha-gal_syndrome
Class of partial differential equations
cases of the Euler–Arnold equation when viewed from suitable Lie groups: Burgers' equation, Korteweg–De Vries equation, Camassa–Holm equation, Hunter–Saxton
Euler–Arnold_equation
British-Canadian computer scientist (born 1947)
In 2017, he co-founded and became the chief scientific advisor of the Vector Institute in Toronto. With David Rumelhart and Ronald J. Williams, Hinton
Geoffrey_Hinton
Mathematics term
unitarily on a Hilbert space and has "almost invariant vectors", then it has a nonzero invariant vector. The formal definition, introduced by David Kazhdan
Kazhdan's_property_(T)
Nonlinear two-terminal fundamental circuit element
based on the memristors physical parameters. The vector S → {\displaystyle {\vec {S}}} is the vector of voltage generators in series to the memristors
Memristor
Database of handwritten digits
of the methods tested on it. In their original paper, they use a support-vector machine to get an error rate of 0.8%. The original MNIST dataset contains
MNIST_database
Representation of a type of random process
more complicated stochastic structure; it is also a special case of the vector autoregressive model (VAR), which consists of a system of more than one
Autoregressive_model
Species of beetle
grain products such as flour, and of poultry-rearing facilities and it is a vector of many kinds of animal pathogens. In larval form, it is an approved novel
Alphitobius_diaperinus
Species of fish
eating six servings or fewer per month. The mahi-mahi is also a common vector for ciguatera poisoning. Although a very popular food dish in many parts
Mahi-mahi
2023 turn-based tactical video game
Girls' Frontline, who is the secondary protagonist of the Aphelion event. Vector (维克托; Wéikètuō; pronunciation) Voiced by: Chen Yanyi (Chinese); Saori Hayami
Girls'_Frontline_2:_Exilium
Zealand Breakers season Head coach Dean Vickerman Captain Mika Vukona Arena Vector Arena North Shore Events Centre NBL results Record 11–17 (39.3%) Ladder
2013–14 New Zealand Breakers season
2013–14_New_Zealand_Breakers_season
Species of virus
especially pear and apple trees and grape vines. Some individuals are vectors for infectious pathogens and can transmit them from plant to plant while
Grapevine leafroll-associated viruses
Grapevine_leafroll-associated_viruses
Equation that describes density changes of a material that is diffusing in a medium
diffusion coefficient for density ϕ at location r; and ∇ represents the vector differential operator del. If the diffusion coefficient depends on the density
Diffusion_equation
Preparation for acquired immunity to disease
subgroup of genetic vaccines encompass viral vector vaccines, RNA vaccines and DNA vaccines. Viral vector vaccines use a safe virus to insert pathogen
Vaccine
Tumor of the glial cells of the brain or spine
Strains of Newcastle disease virus have also been used to create viral vector vaccine candidates against Ebola and COVID-19. Torticollis in fowl shows
Glioma
Light single-engined multirole fighter aircraft from Sweden
consideration for the Gripen; proposed implementations included the use of thrust vectoring. The Gripen is compatible with a number of different armaments, beyond
Saab_JAS_39_Gripen
Algorithm used for frequency estimation and radio direction finding
=[s_{1},\ldots ,s_{p}]^{T}} is the amplitude vector. Note that that the formulation of the steering vector matrix as Vandermonde assumes the signals are
MUSIC_(algorithm)
American television host and author (1928–2003)
Vegetarian Times in the mid-1980s, and said in one issue, "I love tofu burgers and beets". He told Vegetarian Times that he became a vegetarian for both
Fred_Rogers
BURGERS VECTOR
BURGERS VECTOR
Surname or Lastname
English
English : patronymic from Bigger.Perhaps German : from a variant of a personal name formed with Germanic pichan ‘to hack or stab’.
Surname or Lastname
Perhaps an altered spelling of German Bongartz, a variant of Baumgarten.English
Perhaps an altered spelling of German Bongartz, a variant of Baumgarten.English : variant of Bunker.
Boy/Male
English Celtic
Lives in town.
Male
Scandinavian
Scandinavian form of Old Norse Bergr, BIRGER means "rescuer, saver."
Surname or Lastname
English
English : probably a variant of Burrows. Compare Burriss.Probably also an Americanized spelling of German Börries (see Burres).
Male
English
Citizen of a Town
Boy/Male
American, British, Celtic, Christian, English, German, Indian, Jamaican
Town Dweller; Town Citizen; Citizen of a Town
Surname or Lastname
English
English : topographic name for someone who lived by a castle or city gate, Middle English burgate, or a habitational name from a place named Burgate, from Old English burh-geat with the same meaning, examples of which are found in Hampshire, Suffolk, and Surrey.
Surname or Lastname
English
English : topographic name for someone who lived at the edge of a village or by some other boundary, Middle English border, from Old French bordure ‘edge’.
Boy/Male
English
Citizen.
Boy/Male
American, British, English
Town Dweller; Lives in Town
Surname or Lastname
English
English : variant of Buller 2.
Surname or Lastname
English
English : variant of Burger.
Surname or Lastname
English
English : patronymic from Butter 1.English : occupational name for a servant working in a wine cellar, Norman French boterie (see Buttery), with the Middle English genitive -s.German : variant of Butter 2.
Boy/Male
English
Lives in town.
Surname or Lastname
English and Dutch
English and Dutch : variant spelling of Burger.
Surname or Lastname
English and Scottish
English and Scottish : status name from Middle English burge(i)s, Old French burgeis ‘inhabitant and (usually) freeman of a (fortified) town’ (see Burke), especially one with municipal rights and duties. Burgesses generally had tenure of land or buildings from a landlord by burgage. In medieval England burgage involved the payment of a fixed money rent (as opposed to payment in kind); in Scotland it involved payment in service, guarding the town. The -eis ending is from Latin -ensis (modern English -ese as in Portuguese). Compare Burger.Thomas Burgess came from England to MA in about 1630 and eventually settled in Sandwich, MA.
Boy/Male
British, English
Citizen
Surname or Lastname
English
English : variant spelling of Burgess.
Surname or Lastname
English (Welsh borders)
English (Welsh borders) : unexplained.
BURGERS VECTOR
BURGERS VECTOR
BURGERS VECTOR
BURGERS VECTOR
BURGERS VECTOR
BURGERS VECTOR
BURGERS VECTOR
n.
The state of privilege of a burgess.
n.
One who badgers.
n.
A burgess; a citizen. See 2d Bourgeois.
n.
One guilty of buggery or unnatural vice; a sodomite.
n.
Surgery.
n.
A circle or cluster of gas-burners for lighting and ventilating public buildings.
n.
One who represents a borough in Parliament.
n.
One who, or that which, buries.
n.
Surgery.
n.
A magistrate of a borough.
n.
Operative surgery.
n.
One who urges.
n.
One who, or that which, purges or cleanses; especially, a cathartic medicine.
n.
One who barters.
n.
An inhabitant of a Scotch burgh qualified to vote for municipal officers.
n.
A member of that party, among the Scotch seceders, which asserted the lawfulness of the burgess oath (in which burgesses profess "the true religion professed within the realm"), the opposite party being called antiburghers.
n.
One who budges.
n.
One who seceded from the Burghers (1747), deeming it improper to take the Burgess oath.