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This structure is often confused for a body-centered cubic structure because the arrangement of atoms is the same. However, the caesium chloride structure has a basis composed of two different atomic species. In a body-centered cubic structure, there would be translational symmetry along the [111] direction.
This type of structural arrangement is known as cubic close packing (ccp). The unit cell of a ccp arrangement of atoms is the face-centered cubic (fcc) unit cell. This is not immediately obvious as the closely packed layers are parallel to the {111} planes of the fcc unit cell. There are four different orientations of the close-packed layers.
A micellar cubic phase is a lyotropic liquid crystal phase formed when the concentration of micelles dispersed in a solvent (usually water) is sufficiently high that they are forced to pack into a structure having a long-ranged positional (translational) order. For example, spherical micelles a cubic packing of a body-centered cubic lattice.
The Wigner–Seitz cell of the face-centered cubic lattice is a rhombic dodecahedron. [9] In mathematics, it is known as the rhombic dodecahedral honeycomb . The Wigner–Seitz cell of the body-centered tetragonal lattice that has lattice constants with c / a > 2 {\displaystyle c/a>{\sqrt {2}}} is the elongated dodecahedron .
[2] For example, the matrix = transforms a primitive cell to body-centered. Another particular case of the transformation is a diagonal matrix (i.e., P i ≠ j = 0 {\textstyle P_{i\neq j}=0} ). This called diagonal supercell expansion and can be represented as repeating of the initial cell over crystallographic axes of the initial cell.
Equivalently, it is the number of points in a body-centered cubic pattern within a cube that has n + 1 points along each of its edges. The first few centered cube numbers are 1 , 9 , 35 , 91 , 189 , 341, 559, 855, 1241, 1729 , 2331, 3059, 3925, 4941, 6119, 7471, 9009, ...
This category lists every chemical element that exists in a body centred cubic structure at STP. Pages in category "Chemical elements with body-centered cubic structure" The following 22 pages are in this category, out of 22 total.
The elements studied to date as solid samples have eight kinds of crystal structures: cubic, body-centered cubic, face-centered cubic, hexagonal, monoclinic, orthorhombic, rhombohedral, and tetragonal. For some of the synthetically produced transuranic elements, available samples have been too small to determine crystal structures.