Crystal Vector Database
The Crystal Vector collection features mystical icons, diamond elements, gemstone line drawings, vintage chandeliers, shiny glass trophy graphics, and realistic classic crystal carafe bottle designs. From sparkling jewels to geometric crystal line shapes, this collection has everything you need to add some sparkle to your project. The collection also includes vectors of mystical icons, fractal geometry, and gemstones. It's easy to see why these symbols are so appealing and in demand.
Brillouin zones
The database includes k-vector tables, figures, and the minimum reciprocal wyckoff position for each space group. The tables list all the 230 space groups by their sequential numbers found in the International Tables for Crystallography, Vol. A. They also contain a comparative list of k-vector types. You can also select one or more specific planes to calculate the Brillouin zone boundaries.
The definition of Brillouin zones is based on a sequence of disjoint regions with increasing distances from the origin. The first Brillouin zone is usually termed as the "Brillouin zone". The n-th Brillouin region consists of all the points reached by crossing a Bragg plane. In a general case, the first Brillouin zone is irreducible, i.e., reduced by all symmetries in the point group.
Tetragonal lattice
The tetragonal lattice is the most common system of crystallographic axes. Its two longest axes are perpendicular to each other. The other axis lies perpendicular to the hexagonal plane and has a length of 120 degrees. The coordinates of this crystal system are a, b, and c. The a, b, and c lattice constants are sufficient to describe the tetragonal lattice.
There are two types of tetragonal lattices. One type is a body-centered tetragonal lattice, which has all angles of 90 degrees and two equal lengths. The other type is an orthorhombic lattice, which has unequal lengths of the sides. The three types of lattices have different names depending on the direction of symmetry.
Orthorhombic lattice
The orthorhombic lattice in crystals has two sets of axes, called a primitive axis and a face oriented axis. In a two-dimensional crystal, the a-axis vector has a component along the a-axis and no component along the b-axis or c-axis axial direction. The planes of crystal lattices are designated by whole number multipliers of the lattice parameters h, k, and l, which correspond to the points at which the axis exits the unit cell.
A point in a solid is represented by a single atom. These points are connected together to form a block. The orthorhombic unit cell is distinguished by having three lines of twofold symmetry. This unit cell is capable of being rotated by 180 degrees without losing its appearance. The edges of orthorhombic crystals are symmetrical, and the angles between them must be at right angles. This crystallization pattern is common in cementite, olivine, and aragonite.
Rhombohedral lattice
A rhombohedral lattice is a cubic crystalline lattice that has a rotational symmetry of 90 degrees. These crystals share the same family of crystallographic directions as cubic crystals, but have different directions within the family. A negative vector is identified by a bar over a negative number and no minus sign. It is possible to describe the orientation of a rhombohedral lattice using its vector structure.
The rhombohedral lattice is the best choice for most applications. The geometry remains unchanged despite the change in lattice. Using the Lattice Parameters widget, determine the value for the rhombohedral lattice. It is important to note that the coordinates of each atom determine their coordinating number.
Hexagonal lattice
Atomsk is a tool that can help you generate hexagonal lattices from a bcc crystal vector. Atomsk uses the symmetries of bcc lattices to reduce the size of each cell. It also helps you orient cubic lattices, such as graphite and wurtzite.
A hexagonal lattice in crystal vector contains four "axes". Three axes are parallel, which are called the orthogonal axis. The vertical axis is longer than the horizontal axes. The orientation of the crystal axes is also known as its "dielectric constant."
Triclinic lattice
In mathematics, triclinic lattices are crystal structures with a symmetry. The lowest symmetry is a simple triclinic lattice, which belongs to the space group #2. Triclinic crystals are also referred to as Bravais lattices. Each crystal has two nearest neighbors along its shortest lattice vector. The following table outlines the basic properties of triclinic crystal systems.
In order to determine the phase structure of a particular compound, we perform two separate integrations. The reflections are biased by the intensity contributions of the other phase. In addition, the triclinic modification of the compound is characterized by inversion centers. A monoclinic phase, on the other hand, possesses 21-screw axes that are parallel. The resulting weighted residual wR(F) = 0.0859.