GroupTheory`

GroupTheory`

GTPwSymmetrizePW

GTPwSymmetrizePW[character table, k-vector, irep] corresponding to a given character table a symmetrized plane wave is constructed for the irreducible representation irep and a given k-vector.

Details and Options

The following options can be given

	GOVerbose	True	Controls output of additional information
	GOProjection	{}	Calculation of partners of Ireps
	GOlmax	15	Specifies maximum number of l
	GOMethod	"Cornwell"	Method to calculate Ireps

See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter

Examples

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Basic Examples (1)

First load the package:

The point group O_h is installed and the character table is calculated.

We print the character table.

The irreducible representation H₁₂ is the sixth irreducible representation in the calculated character table. The initial k-vector is (0,1,0)

Options (4)

GOVerbose (1)

Addition information will be suppressed

GOlmax (1)

The parameter is necessary in the Method "Cornwell". The calculation of representation matrices will fail, if GOlmax is too low

GOMethod (1)

Select the method to calculate the IReps.

The result looks different, but not the form of the function, but the symmetry properties are important.

GOProjection (1)