A lattice is an ordered array of points describing the arrangement of particles that form a crystal. The unit cell of a crystal is defined by the lattice points. In the structure drawn, all of the particles (yellow) are the same.

Although decorative in and of itself, a lattice is often used to support climbing plants and vines and can even serve as a fence. Sections of lattice help improve the appearance of utility areas and are often used to edge flower beds, or as a surround for waste cans or skirting at the bottom of decks and porches.

: a regular geometrical arrangement of points or objects over an area or in space: as. a : the geometrical arrangement of atoms in a crystal. — called also space lattice. b : a geometrical arrangement of fissionable material in a nuclear reactor.

In this page you can discover 38 synonyms, antonyms, idiomatic expressions, and related words for lattice, like: web, mesh, structure, fretwork, trellis, grate, grid, latticework, framework, grating and frame.

Synonyms of lattice

• architecture,
• armature,
• cadre,
• configuration,
• edifice,
• fabric,
• frame,
• framework,

Some common synonyms of stately are grandiose, grand, imposing, magnificent, and majestic. While all these words mean “large and impressive,” stately may suggest poised dignity, erectness of bearing, handsomeness of proportions, ceremonious deliberation of movement.

lattice

The 14 Bravais lattices are grouped into seven lattice systems: triclinic, monoclinic, orthorhombic, tetragonal, rhombohedral, hexagonal, and cubic. In a crystal system, a set of point groups and their corresponding space groups are assigned to a lattice system.

From Wikipedia, the free encyclopedia. In geometry and crystallography, a Bravais lattice, named after Auguste Bravais (1850), is an infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by: (1)

They are cubic, tetragonal, hexagonal (trigonal), orthorhombic, monoclinic, and triclinic. Seven-crystal system under their respective names, Bravias lattice.

cubic Bravais lattice

A face-centered tetragonal (FCT) lattice does have this symmetry. So it must belong to the tetragonal crystal system. But there is no FCT Bravais lattice in the tetragonal system. Bravais lattice is based on the symmetry of the unit cell and not the shapes of unit cell.

Simple Cubic: 8⋅1/8=1 lattice point per unit volume. Body Centered Cubic: (8⋅1/8)+1=2 lattice points per unit volume. Face Centered Cubic: (8⋅1/8)+(6⋅1/2)=4 lattice points per unit volume.

The Bravais lattices come from unit cells which have an internal symmetry. There are again not so many possibilities to have an internal symmetry, so this only makes 14 Bravais lattices out of the 7 crystal systems.

C-centred cubic does not exist it is reclassified into simple tetragonal. FCC remains (i.e. it is not classified as BCT) FCC has cubic symmetry (with three 4-folds rotation axes along the <111>).

Table 1: Crystal Structure for some Metals (at room temperature)

The simple cubic structure (sc) The simple cubic structure with only one atom per lattice point is relatively rare in nature, as it is fairly unstable because of its low packing efficiency and low number of nearest neighbour around each atom. Polonium (Po) is reported to crystallize in the simple cubic structure.

BCC stands for body-centred cubic structure whereas FCC stands for face-centred cubic structure. Then the unit cell of FCC has 12 spheres. The key difference between BCC and FCC is that the coordination number of BCC is 8 whereas the coordination number of FCC is 12.

FCC metals tend to have more slip systems, i.e. slip directions and slip planes than BCC. Thus FCC metals deform easier than BCC metals and thus they are more ductile. BCC metals are infact stronger than FCC metals.

Austenite is a high temperature phase and has a Face Centred Cubic (FCC) structure [which is a close packed structure]. The alpha phase is called ferrite. Ferrite is a common constituent in steels and has a Body Centred Cubic (BCC) structure [which is less densely packed than FCC].

The crystal structure of brass is F.C.C. Face-centered cubic (fcc or cF) refers to a crystal structure consisting of an atom at each cube corner and an atom in the center of each cube face.

This is because their symmetry provides closely packed planes in several directions. A face-centered cubic crystal structure will exhibit more ductility (deform more readily under load before breaking) than a body-centered cubic structure. The bcc lattice, although cubic, is not closely packed and forms strong metals.

The face-centered cubic (fcc) has a coordination number of 12 and contains 4 atoms per unit cell. The body-centered cubic (bcc) has a coordination number of 8 and contains 2 atoms per unit cell. The simple cubic has a coordination number of 6 and contains 1 atom per unit cell.

Diamond is the hardest material known, while cubic boron nitride (BN) is the second-hardest. Silicon carbide (SiC) is very structurally complex and has at least 70 crystalline forms.

Atom Positions and Crystal Axes. The structure of a crystal is defined with respect to a unit cell. These usually have the units of Angstroms and relate to the distance in each direction between the origin of the cell and the atom.