A report on Bravais lattice and Crystal system

The diamond crystal structure belongs to the face-centered cubic lattice, with a repeated two-atom pattern.
Hexagonal hanksite crystal, with threefold c-axis symmetry

A lattice system is a set of Bravais lattices.

- Crystal system

In two-dimensional space there are 5 Bravais lattices, grouped into four lattice systems, shown in the table below.

- Bravais lattice
The diamond crystal structure belongs to the face-centered cubic lattice, with a repeated two-atom pattern.

2 related topics with Alpha

Overall

A crystalline solid: atomic resolution image of strontium titanate. Brighter spots are columns of strontium atoms and darker ones are titanium-oxygen columns.

Crystallography

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Experimental science of determining the arrangement of atoms in crystalline solids.

Experimental science of determining the arrangement of atoms in crystalline solids.

A crystalline solid: atomic resolution image of strontium titanate. Brighter spots are columns of strontium atoms and darker ones are titanium-oxygen columns.
Molecular model of penicillin by Dorothy Hodgkin, 1945
Photograph of DNA (photo 51), Rosalind Franklin, 1952
Octahedral and tetrahedral interstitial sites in a face centered cubic structure
Kikuchi lines in an electron backscatter diffraction pattern of monocrystalline silicon, taken at 20 kV with a field-emission electron source

Because of their highly ordered and repetitive atomic structure (Bravais lattice), crystals diffract x-rays in a coherent manner, also referred to as Bragg's reflection.

Coordinates in angle brackets or chevrons such as <100> denote a family of directions which are related by symmetry operations. In the cubic crystal system for example, would mean or the negative of any of those directions.

The space group of hexagonal H2O ice is P63/mmc. The first m indicates the mirror plane perpendicular to the c-axis (a), the second m indicates the mirror planes parallel to the c-axis (b), and the c indicates the glide planes (b) and (c). The black boxes outline the unit cell.

Space group

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Symmetry group of an object in space, usually in three dimensions.

Symmetry group of an object in space, usually in three dimensions.

The space group of hexagonal H2O ice is P63/mmc. The first m indicates the mirror plane perpendicular to the c-axis (a), the second m indicates the mirror planes parallel to the c-axis (b), and the c indicates the glide planes (b) and (c). The black boxes outline the unit cell.

The space groups in three dimensions are made from combinations of the 32 crystallographic point groups with the 14 Bravais lattices, each of the latter belonging to one of 7 lattice systems.