An orderly arrangement of atoms in a material, usually thought of as an infinite series of "cells" forming a "latticework" of atoms in 3-dimensions. A thorough treatment of lattices and other materials issues can be found at the Visualizations in Materials Science WWW site.
The arrangement of atoms in a crystal, giving each crystal its distinct shape.
The positioning of atoms in crystalline solids is referred to as the lattice. The smallest division of the lattice which can still be used to represent the entire structure is called the unit cell.
a three-dimensional system of points designating the positions of the centers of the components of a solid (atoms, ions, or molecules)
The periodic array of points which make up the crystal structure.
A discrete subgroup of the additive group of complex numbers. Concretely, it is the set of all complex numbers of the form n for integers n and "periods" and (whose ratio is not a real number).
An arrangement in space of isolated points in a regular pattern, which for example show the positions of atoms, molecules, or ions in the structure of a crystal.
A regular array of points in space at which the same atom or group of atoms is located.
an arrangement of points or particles or objects in a regular periodic pattern in 2 or 3 dimensions
a discrete subgroup of the additive group of a Euclidean space
a generalization that preserves the convenient neighborhood structure of a grid, but is generated by a collection of generally nonorthogonal basis vectors that lead to low discrepancy (more details
a linear structure in N dimensions where all points or vectors can be obtained by integer combinations of N basis vectors, that is, as a weighted sum of basis vectors with signed integer weights
a mathematical abstraction that describes the way the atoms or groups of atoms are repeated in space
an abstract geometrical concept (as has been said, in order to describe the structure of a crystal)
an array of points which define a repeated spatial entity called a unit cell
a network or array composed of single motif which has been translated and repeated at fixed intervals throughout space
an infinite arrangement of points spaced with sufficient regularity that
an infinite array of regularly-spaced points
an infinite set of discrete -tuples in an -dimensional Cartesian space that forms a group under vector addition
an IRIS Explorer data type, which is used to store an ordered array of data
an N-dimensional arrangement of data on regular orthogonal axes
a periodic array of points in space
a regular arrangement of particles, whether these are atoms, ions or molecules
a regular array of points, each one specified by a set of coordinates
a regularly-spaced sample of points representing a surface
a set of points on the plane (or in space) that form a grid on which turtles walk
The regular arrangement of points in a crystal.
A regular periodic configuration of atoms throughout a crystalline structure.
The regular geometrical arrangements of points in a crystal phase.
A design used in an all-over layout. Lattices consist of ogives (an arch or two connected, or rectangles with usually some floral motif inside them. In classic Persian rugs, lattices are curvilinear and consist of ogives. The new versions are more geometric and consist of diamonds and hexagons.
A regular arrangement of points in space in 3 dimensions.
the regular geometrical arrangement of points in crystal space.
a quantum-mechanical model used to describe dust grain surface chemistry; a system of neighboring barriers and walls; a 3-dimensional array.
The regular geometric arrangement of points in crystal space.
Regular array, or pattern, of atoms in a crystal.
An assembly of smaller pieces arranged in a gridlike pattern; sometimes used a decorative element or to form a truss of primarily diagonal members.
An orderly arrangement of atoms in the crystal wafer.
A lattice can be viewed as an N-dimensional grid.
A lattice is a regular grid-like arrangement of atoms in a material. Classifying materials
surface representation that uses a rectangular array of mesh points spaced at a constant sampling interval in the x and y directions relative to a common origin. A lattice is stored as a grid, but represents the value of the surface only at the mesh points rather than the value of the entire cell.
The regular periodic arrangement of atoms or molecules in a crystal of semiconductor material.
Space lattice. Lattice lines and lattice planes are lines and planes chosen so as to pass through collinear lattice points, and non-collinear lattice points, respectively.
In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn can be generated from a basis for the vector space by forming all linear combinations with integral coefficients. A lattice may be viewed as a regular tiling of a space by a primitive cell.