Sentence examples for character tables from inspiring English sources

This information is enough to generate the character tables [13].

The character tables for the point groups are auto generated, and the algorithm is described.

({hat{P}}_{kl}^{Gamma }) requires the full matrix representations of (Gamma) and since the character tables are generated, this would require the representations to be as well.

The character tables can then be constructed by assigning the same conjugacy class to the vertical and dihedral ({hat{C}}_2) and ({hat{sigma }}) operations for the subgroups.

Since there is an infinite number of cyclic and dihedral groups, and the detection algorithm can detect all of them - in theory, not in practice - it makes sense to generate their character tables.

In order to generate the character tables, properties of representations are calculated first and the characters for the symmetry operations are generated based on the operations in combination with the representations.

The character table of C2mh possesses 4m irrep's [18], i.e., (21).

The character table of C N has N irrep's, i.e., (29).

The character table of C2mv possesses m + 3 irrep's [18], i.e., (9).

The character table of C 2m+1)v possesses m + 2 irrep's [18], i.e., (4).

Hence the number of zeros in the columns of a character table will have effect on the group structure.