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perpendicular bisector

The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.

Brillouin zone

Brillouin zone   Quick reference

A Dictionary of Chemistry (7 ed.)

Reference type:
Subject Reference
Current Version:
2016
Subject:
Science and technology, Chemistry
Length:
75 words

...zone A cell in a reciprocal lattice. The first Brillouin zone is the cell of smallest volume enclosed by those planes that are perpendicular bisectors of reciprocal lattice vectors. Higher Brillouin zones also exist. Brillouin zones are used in the theory of energy levels in a periodic potential, as in a crystal. They are named after the French physicist Léon Brillouin ( 1889–1969 ), who introduced them into the theory of crystals in 1930...

Wigner–Seitz cell

Wigner–Seitz cell   Quick reference

A Dictionary of Chemistry (7 ed.)

Reference type:
Subject Reference
Current Version:
2016
Subject:
Science and technology, Chemistry
Length:
65 words

...cell A polyhedron in a crystal that is bounded by planes formed by perpendicular bisectors of bonds between lattice sites. The Wigner–Seitz cell was used by Hungarian-born US physicist Eugene Wigner ( 1902–95 ) and Frederick Seitz ( 1911–2008 ) in 1933 in the course of their analysis of the cohesion of metals. The concept has been used extensively in the theory of...

Schoenflies system

Schoenflies system   Quick reference

A Dictionary of Chemistry (7 ed.)

Reference type:
Subject Reference
Current Version:
2016
Subject:
Science and technology, Chemistry
Length:
282 words

...rotation axis, have a mirror plane perpendicular to the axis. S n groups have an n -fold rotation-reflection axis. D n groups have an n -fold rotation axis and a two-fold axis perpendicular to the n -fold axis (and two-fold axes associated with the existence of the n -fold axis). D nh groups have all the symmetry operations of D n and also a mirror plane perpendicular to the n -fold axis. D nd groups contain all the symmetry operations of D n and also mirror planes that contain the n -fold axis and bisect the angles between the two-fold axes....

Brillouin zone

Brillouin zone  

A cell in a reciprocal lattice. The first Brillouin zone is the cell of smallest volume enclosed by those planes that are perpendicular bisectors of reciprocal lattice vectors. Higher Brillouin zones ...
Wigner-Seitz cell

Wigner-Seitz cell  

A polyhedron in a crystal that is bounded by planes formed by perpendicular bisectors of bonds between lattice sites. The Wigner-Seitz cell was used by Hungarian-born US physicist Eugene Wigner ...
Schoenflies system

Schoenflies system  

A system for categorizing symmetries of molecules. Cn groups contain only an n-fold rotation axis. Cnv groups, in addition to the n-fold rotation axis, have a mirror plane that contains the axis of ...

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