Said Fathalla Stefan Sandfeld 21.03.2022 Ahmad Zainul Ihsan Dislocation Ontology DISO Dislocation Ontology https://github.com/Materials-Data-Science-and-Informatics/dislocation-ontology 1.0 hasPositionVector represents the relationship between entity and position vector. has position vector hasBurgersVector represents the relationship between dislocation to Burgers vector. has Burgers vector Sub-property of hasNode that relates the segment with the end node. has end node hasFamilyCrystalDirection represents the relationship between lattice direction and family of crystal direction. has family crystal direction hasFamilyCrystalPlane represents the relationship between the lattice plane and the family of crystal planes. has family crystal plane hasLatticeDirection represents the relationship between a lattice or a lattice plane with lattice directions. has lattice direction hasLatticePlane represents the relationship between a lattice and lattice planes. has lattice plane hasLatticePoint represents the relationship between a lattice or lattice plane or lattice direction with lattice point. has lattice point hasLineSense represents the relationship between dislocation and line sense. has line sense hasMathematicalRepresentation relates the entity with its mathematical representation. has mathematical representation hasNode represents the relationship between segment and node. has node hasNumericalRepresentation relates the entity with its numerical representation. has numerical representation hasRepresentation relates the entity to another representation of entity. has representation hasSegment represents the relationship between discretized line and segment. has segment hasShapeFunction represents the relationship between discretized line and shape function. has shape function hasSlipDirection represents the relationship between the slip plane or slip system with the slip direction. has slip direction hasSlipPlane represents the relationship between crystal structure and slip plane. has slip plane hasSlipPlaneNormal represents the relationship between a slip plane or slip system with slip plane normal. has slip plane normal hasSlipSystem represents the relationship between a crystal structure and slip system. has slip system Sub-property of hasNode that relates the segment with the start node. has start node hasVectorOrigin represents the relationship between lattice plane and origin. has vector origin Inverse of hasSegment is segment of movesOn represents the relationship between dislocation and slip plane. moves on observedBy represents the relationship between dislocation and microscopy techniques, e.g., TEM, FIM, etc. observed by resultsIn represents the relationship between dislocation and lattice displacement. results in directionMillerIndice represents Miller indice of lattice direction in string. direction miller indice familyDirectionMillerIndice represents a set of miller indices of lattice direction in string. family direction miller indice familyPlaneMillerIndice represents a set of Miller indice of lattice plane in string. family plane miller indice planeMillerIndice represents Miller indice of lattice plane in string. plane miller indice slipArea represents the slip area of discretized line in double. slipArea <p class="lm-para">A quantity is the measurement of an observable property of a particular object, event, or physical system. A quantity is always associated with the context of measurement (i.e. the thing measured, the measured value, the accuracy of measurement, etc.) whereas the underlying quantity kind is independent of any particular measurement. Thus, length is a quantity kind while the height of a rocket is a specific quantity of length; its magnitude that may be expressed in meters, feet, inches, etc. Examples of physical quantities include physical constants, such as the speed of light in a vacuum, Planck's constant, the electric permittivity of free space, and the fine structure constant. </p> <p class="lm-para">In other words, quantities are quantifiable aspects of the world, such as time, distance, velocity, mass, momentum, energy, and weight, and units are used to describe their measure. Many of which are related to each other by various physical laws, and as a result the units of some of the quantities can be expressed as products (or ratios) of powers of other units (e.g., momentum is mass times velocity and velocity is measured in distance divided by time). These relationships are discussed in dimensional analysis. Those that cannot be so expressed can be regarded as "fundamental" in this sense.</p> <p class="lm-para">A quantity is distinguished from a "quantity kind" in that the former carries a value and the latter is a type specifier.</p> Quantity A <b>Quantity Kind</b> is any observable property that can be measured and quantified numerically. Familiar examples include physical properties such as length, mass, time, force, energy, power, electric charge, etc. Less familiar examples include currency, interest rate, price to earning ratio, and information capacity. Quantity Kind A <i>Quantity Value</i> expresses the magnitude and kind of a quantity and is given by the product of a numerical value <code>n</code> and a unit of measure <code>U</code>. The number multiplying the unit is referred to as the numerical value of the quantity expressed in that unit. Refer to <a href="http://physics.nist.gov/Pubs/SP811/sec07.html">NIST SP 811 section 7</a> for more on quantity values. Quantity value A unit of measure, or unit, is a particular quantity value that has been chosen as a scale for measuring other quantities the same kind (more generally of equivalent dimension). For example, the meter is a quantity of length that has been rigorously defined and standardized by the BIPM (International Board of Weights and Measures). Any measurement of the length can be expressed as a number multiplied by the unit meter. More formally, the value of a physical quantity Q with respect to a unit (U) is expressed as the scalar multiple of a real number (n) and U, as \(Q = nU\). Unit The crystallographic defect is a lattice irregularity that has one or more dimensions on the order of an atomic diameter. Crystallographic Defect A crystal structure is described by the lattice geometry and atomic arrangements within the unit cell. Crystal Structure The mathematical concept to represent the periodicity of a crystal. A lattice defines a periodic arrangement of one or more atoms. Lattice In classical Euclidean geometry, a point is a primitive notion that models an exact location in the space, and has no length, width, or thickness. Point Euclidean vector that represents the position of a point P in space in relation to an arbitrary reference origin O. Position Vector 1 (Euclidean) vector is used to represent quantities that both magnitude and direction. Vector (Euclidean) vector used to represent quantities that both magnitude and direction. 1 1 1 Vector components/vector coordinates of particular basis. It has relation to a specific basis. Vector Component of Basis An elementary unit (length order of lattice parameter) of lattice translation. The basic notion of the Burgers vector comes from the closure failure of an initially perfect lattice due to the existence of dislocation. The magnitude and direction of closure failure are characterized by the Burgers vector. Burgers Vector 1 The numerical representation of the dislocation line that is discretized into the number of segments. Discretized Line Linear or one-dimensional defect around which some of the atoms are misaligned. In the mesoscale, a dislocation is a line object that is a boundary separating the regions on the slip plane which have undergone slip from those that have not. The presence of dislocation introduces local disturbance of the atomic-level geometry. Dislocation Versetzung A dislocation that has a line sense perpendicular to its Burgers vector. Edge Dislocation 1 A set of symmetrically equivalent directions in the lattice. Family of Crystal Direction 1 A set of symmetrically equivalent planes in the lattice. Family of Crystal Plane Field Ion Microscopy (FIM) is a microscopy technique that can be used to image the arrangement of atoms. Field Ion Microscopy 1 The vector direction inside the lattice that is connecting two lattice points. Lattice Direction The displacement of atoms from their perfect lattice sites due to the existence of defects, e.g., point defect, line defect, and grain boundary. Lattice Displacement 1 The lattice plane forms an infinitely stretched plane (characterized through a plane normal) that cuts through lattice points such that, again, a regular arrangement of lattice points in the plane occurs. Lattice Plane Lattice point is the point where atom(s) or molecule(s) is located. Lattice Point Mathematical representation of dislocation as 'Line'. An instance of mathematical representation of a dislocation line is an oriented curve parameterized by its arc length. Line Linear or one-dimensional defect around which some of the atoms are misaligned. Line Defect A sense that characterizes a directed line, i.e., it has a start and an end. Line Sense A point of a segment. Node A dislocation that has a line sense parallel to its Burgers vector. Screw Dislocation The segment is a part of a line bounded by two distinct end points and may contain points on the line between its endpoints. Segment The shape function is the function that interpolates the solution between the discrete values obtained at the mesh nodes. In discretized dislocation, the shape function determines the shape of a segment and ultimately determines the shape of the line. Examples of shape function that is used to discretize the dislocation are circular, elliptic, spiral, linear, cubic, and quintic. Shape Function The direction in the slip plane along which plastic deformation takes place. The slip direction corresponds to one of the shortest lattice translation vectors. Slip Direction The crystallographic/lattice plane along which the dislocation line traverses/moves. The slip plane is usually the plane with the highest density of atoms, i.e. most widely spaced. Slip Plane 1 The unit normal vector of slip planes. Slip Plane Normal A slip system is defined as the set of slip planes with the same unit normal vector and the same slip direction. Slip System Transmission electron microscopy (TEM) is a microscopy technique in which a beam of electrons is transmitted through a specimen to form an image. The specimen is often an ultrathin section less than 100 nm thick. Transmission Electron Microscopy A fixed point that is needed by the vector to identify other points in the space relative to its origin. Ursprung Vector Origin 1 1 1 A basis defines a spatial unit used to express fractional coordinates. Basis Set of vector(in 2-D two vectors and in 3-D three vectors) that linearly independent. 1 1 1 Coordinate Vector A coordinate vector according to standard basis, i.e., e_x (1, 0, 0), e_y(0, 1, 0), and e_z (0, 0, 1).