CARAT Introduction / Examples / List all names of Bravais groups of degree 4.
Author: Oliver Heidbüchel
Description: CARAT Introduction: Example 1 - List all names of Bravais groups of degree 4.
Keywords: CARAT, crystallography, bravaisgroup, bravaisgroups, bravais groups, bravais group, mathematics, algorithms, tables, algorithm, table, example, examples, Bravais_catalog, Datei, Bravais_inclusions

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### Example 1

List all names of Bravais groups of degree 4.

### Used Programs

Bravais_catalog/Datei, Bravais_inclusions

### Solution

1. Call

          Bravais_catalog

   and insert

          1,1,1,1

   Calculate the Bravais groups and choose the filename 1111. Print all Bravais groups now (there is only one). Screenshot

   Now 1111 contains the Bravais group <-I4>.

   Note the normalizer N of <-I_4> in GL4(Z) is GL4(Z) itself.

2. Call

          Bravais_inclusions -S 1111 > b4

   to get all the Bravais supergroups of <-I4>, up to conjugacy under N = GL4(Z). The result is written on the file with name b4.

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last change: 11.09.2000