GROUP THEORY SYMBOL

# GTReciprocalBasis GTReciprocalBasis[lattice vectors]
calculates the reciprocal lattice vectors from a given set of lattice vectors.

## DetailsDetails

• If are the lattice vectors and are the corresponding reciprocal lattice vectors, the vectors fullfill the relation
• • The module works for two and three dimensional lattices.
• Three dimensional reciprocal lattice vectors can be calculated by
• (cyclic permutations of )
• See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 6.2

## ExamplesExamplesopen allclose all

### Basic Examples  (2)Basic Examples  (2)

First load the package:

 In:= The basis of a simple cubic lattice is given:

 In:= The reciprocal basis follows as :

 In:= Out= the condition has to be fulfilled.

 In:= Out//MatrixForm= For an fcc lattice we get:

 In:= Out= In:= Out//MatrixForm= In:= Out= In:= Out= ## See AlsoSee Also

GTAbinitConvertWaveFunction GTAnalyzeBandStructure GTGetStructure GTGroupOfK GTInstallStructure GTLatticeVectors GTPwHamiltonian