Hexagonal lattice#Honeycomb lattice

{{Short description|One of the five 2D Bravais lattices}}

{{distinguish|Hexagonal crystal family}}

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Hexagonal lattice !Wallpaper group p6m !Unit cell

The hexagonal lattice (sometimes called triangular lattice) is one of the five two-dimensional Bravais lattice types.{{Cite web|last=Rana|first=Farhan|title=Lattices in 1D, 2D, and 3D|url=https://courses.cit.cornell.edu/ece407/Lectures/handout4.pdf|url-status=live|archive-url=https://web.archive.org/web/20201218214110/https://courses.cit.cornell.edu/ece407/Lectures/handout4.pdf|archive-date=2020-12-18|website=Cornell University}} The symmetry category of the lattice is wallpaper group p6m. The primitive translation vectors of the hexagonal lattice form an angle of 120° and are of equal lengths,

: $|\backslash mathbf\; a\_1|\; =\; |\backslash mathbf\; a\_2|\; =\; a.$

The reciprocal lattice of the hexagonal lattice is a hexagonal lattice in reciprocal space with orientation changed by 90° and primitive lattice vectors of length

: $g=\backslash frac\{4\backslash pi\}\{a\backslash sqrt\; 3\}.$

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