The SO(5)⊃SO(3) Clebsch-Gordan coefficients that are utilised by the ACM code are supplied in numerous files. These are conveniently packaged in a few zipped archives. The following three were originally supplied with the code:
Subsequently, we have calculated further coefficients (the CG coefficient data in the first of these was inadvertently omitted from the first of the three zipped files above):
When one of these archives is unzipped, it creates a subdirectory so5cg-data/ (if it doesn't already exist) and places in it one or two subdirectories v2=1/, v2=3/, v2=2/, v2=4/, v2=5/, v2=6/ or v2=9/, as appropriate. Each of these subdirectories contains further subdirectories, which themselves contain the data files. The user does not need to know this directory structure, but it is expected by the ACM code. The user only needs to specify the position of the so5cg-data/ directory to the ACM code by setting the variable SO5CG_directory, as explained in Section 6.1.2 of our manuscript [WR2016].
Note that for some operating systems, zip files are automatically unzipped on being downloaded. It may then happen that each creates its own so5cg-data/ directory, but with differing parent directories. It will then be necessary to move the v2=1/, v2=3/, v2=2/, v2=4/, v2=5/, v2=6/, v2=9/ subdirectories into a common so5cg-data/ directory.
Although the user of the ACM code does not need to know the precise directory structure nor the format of the data files, we describe them here in case they are otherwise useful. Each file in the zipped archives has a name of the form SO5CG_v1_v2-α2-L2_v3 where v1, v2, α2, L2 and v3 are substituted for the appropriate integers (see equation (40) of our manuscript [WR2016]). Each such file SO5CG_v1_v2-α2-L2_v3 is placed in the directory
| so5cg-data/v2=v2/SO5CG_v1_v2_v3/ |
Some theoretical information on the SO(5)⊃SO(3) Clebsch-Gordan coefficients, how they were calculated, and their relationship with SO(5)⊃SO(3) spherical harmonics is given in this link.
Last updated: 8 Jan 2019.