Orthorhombic crystal system

 ( Crystal Systems ) 

In crystallography, the orthorhombic crystal system is one of the 7 . Orthorhombic lattices result from stretching a cubic lattice along two of its orthogonal pairs by two different factors, resulting in a rectangular prism with a rectangular base ( a by b) and height ( c), such that a, b, and c are distinct. All three bases intersect at 90° angles, so the three lattice vectors remain mutually orthogonal.

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Bravais lattices There are four orthorhombic Bravais lattices: primitive orthorhombic, base-centered orthorhombic, body-centered orthorhombic, and face-centered orthorhombic.

For the base-centered orthorhombic lattice, the primitive cell has the shape of a right rhombic prism;See , row oC, column Primitive, where the cell parameters are given as a1 = a2, α = β = 90° it can be constructed because the two-dimensional centered rectangular base layer can also be described with primitive rhombic axes. Note that the length $a$ of the primitive cell below equals $\backslash frac\{1\}\{2\}\; \backslash sqrt\{a^2+b^2\}$ of the conventional cell above.

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Crystal classes The orthorhombic crystal system class names, examples, Schönflies notation, Hermann-Mauguin notation, point groups, International Tables for Crystallography space group number,

(2023). 9781402049699, International Union of Crystallography. ISBN 9781402049699

orbifold notation, type, and space groups are listed in the table below.

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In two dimensions In two dimensions there are two orthorhombic Bravais lattices: primitive rectangular and centered rectangular.

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See also

• Crystal structure
• Crystal system
• Overview of all space groups

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Further reading

• (1985). 9780471805809 . ISBN 9780471805809
• (2023). 9780792365907, Springer-Verlag. . ISBN 9780792365907

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