CARAT Introduction / Programs / Tr_bravais

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## Program Tr_bravais

### Usage

    Tr_bravais 'file' [-n] [-i]

file: bravais_TYP of the finite unimodular group G.

### Description

Calculates the transposed group of G.

### Options

    -n    : The space of invariant forms of the transposed group is not calculated.
    -i    : Invert the generators of G, G->normal, G->cen to give an isomorphism.

### Remarks

See also for Tr.

### Examples

1. Find all space groups with a given point group and decide for which superlattices each extension splits.
2. Find the dual pairs of Bravais groups in family 1;1;1;1

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