# sc::CharacterTable Class Reference

The CharacterTable class provides a workable character table for all of the non-cubic point groups. More...

`#include <pointgrp.h>`

List of all members.

## Public Types

enum | pgroups { C1, CS, CI, CN, CNV, CNH, DN, DND, DNH, SN, T, TH, TD, O, OH, I, IH }

## Public Member Functions

| CharacterTable (const char *)
| This constructor takes the Schoenflies symbol of a point group as input.
| CharacterTable (const char *, const SymmetryOperation &)
| This is like the above, but it also takes a reference to a SymmetryOperation which is the frame of reference.
| CharacterTable (const CharacterTable &)
CharacterTable & | operator= (const CharacterTable &)
int | nirrep () const
| Returns the number of irreps.
int | order () const
| Returns the order of the point group.
const char * | symbol () const
| Returns the Schoenflies symbol for the point group.
IrreducibleRepresentation & | gamma (int i)
| Returns the i'th irrep.
SymmetryOperation & | symm_operation (int i)
| Returns the i'th symmetry operation.
int | complex () const
| Cn, Cnh, Sn, T, and Th point groups have complex representations.
int | inverse (int i) const
| Returns the index of the symop which is the inverse of symop[i].
int | ncomp () const
int | which_irrep (int i)
| Returns the irrep component i belongs to.
int | which_comp (int i)
| Returns which component i is.
void | print (std::ostream &=ExEnv::out0()) const
| This prints the irrep to the given file, or stdout if none is given.

## Detailed Description

The CharacterTable class provides a workable character table for all of the non-cubic point groups.

While I have tried to match the ordering in Cotton's book, I don't guarantee that it is always followed. It shouldn't matter anyway. Also note that I don't lump symmetry operations of the same class together. For example, in C3v there are two distinct C3 rotations and 3 distinct reflections, each with a separate character. Thus symop has 6 elements rather than the 3 you'll find in most published character tables.

## Constructor & Destructor Documentation

sc::CharacterTable::CharacterTable | ( | const char * |  | ) |

This constructor takes the Schoenflies symbol of a point group as input.

sc::CharacterTable::CharacterTable | ( | const char * | ,
|  | const SymmetryOperation & |  |
| ) |  |  |

This is like the above, but it also takes a reference to a SymmetryOperation which is the frame of reference.

All symmetry operations are transformed to this frame of reference.

## Member Function Documentation

int sc::CharacterTable::complex | ( |  | ) | const`[inline]`

Cn, Cnh, Sn, T, and Th point groups have complex representations.

This function returns 1 if the point group has a complex representation, 0 otherwise.

The documentation for this class was generated from the following file:

- pointgrp.h