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# Manual Reference Pages  -  SC_SYMMETRYOPERATION (3)

### NAME

sc::SymmetryOperation - The SymmetryOperation class provides a 3 by 3 matrix representation of a symmetry operation, such as a rotation or reflection.

Synopsis

### SYNOPSIS

#include <pointgrp.h>

#### Public Member Functions

SymmetryOperation (const SymmetryOperation &)
double trace () const
returns the trace of the transformation matrix     double * operator[] (int i)
returns the i’th row of the transformation matrix     const double * operator[] (int i) const
const version of the above     double & operator() (int i, int j)
returns a reference to the (i,j)th element of the transformation matrix     double operator() (int i, int j) const
const version of the above     void zero ()
zero out the symop     SymmetryOperation operate (const SymmetryOperation &r) const
This operates on this with r (i.e. return r * this).     SymmetryOperation transform (const SymmetryOperation &r) const
This performs the transform r * this * r~.     void unit ()
Set equal to a unit matrix.     void E ()
Set equal to E.     void i ()
Set equal to an inversion.     void sigma_h ()
Set equal to reflection in xy plane.     void sigma_xz ()
Set equal to reflection in xz plane.     void sigma_yz ()
Set equal to reflection in yz plane.     void rotation (int n)
Set equal to a clockwise rotation by 2pi/n.     void rotation (double theta)
void c2_x ()
Set equal to C2 about the x axis.     void c2_y ()
Set equal to C2 about the x axis.     void transpose ()
void print (std::ostream &=ExEnv::out0()) const
print the matrix

### Detailed Description

The SymmetryOperation class provides a 3 by 3 matrix representation of a symmetry operation, such as a rotation or reflection.

### Author

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 Version 2.3.1 SC::SYMMETRYOPERATION (3) Sun Apr 3 2016

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