# sc_CharacterTable man page

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

## Synopsis

`#include <pointgrp.h>`

### Public Types

enumpgroups{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 *, constSymmetryOperation&)This is like the above, but it also takes a reference to aSymmetryOperationwhich is the frame of reference.CharacterTable(constCharacterTable&)CharacterTable&operator=(constCharacterTable&)

intnirrep() constReturns the number of irreps.

intorder() constReturns the order of the point group.

const char *symbol() constReturns 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.

intcomplex() constCn, Cnh, Sn, T, and Th point groups have complex representations.

intinverse(int i) constReturns the index of the symop which is the inverse of symop[i].

intncomp() const

intwhich_irrep(int i)Returns the irrep component i belongs to.

intwhich_comp(int i)Returns which component i is.

voidExEnv::out0()) constThis 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.

## Author

Generated automatically by Doxygen for MPQC from the source code.