GROUP THEORY SYMBOL

GTSGLeftCosets

GTSGLeftCosets[space group, subgroup, basis]
gives the left cosets of the factor group G/T (G being a space group, T the group of pure lattice translations) with respect to a subgroup

DetailsDetails

  • GTSGLeftCosets is an extension GTLeftCosets for space groups.
  • W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 3.2.2.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

In[1]:=
Click for copyable input
  • We choose the monoclinic space group P21/c (#14). We first specify the monoclinic basis vectors and install the space groups using GTInstallGroup.
  • In[2]:=
    Click for copyable input
    Out[2]=
    In[3]:=
    Click for copyable input
    Out[3]=
    In[4]:=
    Click for copyable input
    Out[4]=
    In[5]:=
    Click for copyable input
    Out[5]=