The README File
SYMPRJS.m/SYMPWS.m are Matlab-scripts that will produce symmetry adapted
crystal orbitals and plane waves, adapted to the chosen k-vector (double-
valued group of the k-vector) in the reciprocal lattice.

Initially, prodats.m has to be run once to produce files that are used by
SYMPRJS.m/SYMPWS.m. prodats.m (using input data file prodats.dat) calls
bztest.m, primen.m and dmatr.m (calling fac.m) when executing and
produces ldrmm.dat, MD6H.dat, MOH.dat, nge.dat, NP.dat, npgo.dat and
rgr3.dat.

SYMPRJS.m/SYMPWS.m calls the script Irrep.m which in its turn calls the
functions inverse.m, genera.m, classes.m, charac.m (modulus.m), permu.m,
degen.m, intsec.m, subsp.m, eigvec.m and mgt.m. The result is the
irreducible matrix representatives of the group of the k-vector.

The result when running SYMPRJ.m are block-diagonal matrices, where each
block gives the coefficients for the linear combination of symmetry
adapted spherical harmonics, block 1 l=0 (m=0, s=-1/2,+1/2), block 2 l=1
(m=-1 s=-1/2,+1/2,m=0 s=-1/2,+1/2,m=1 s=-1/2,+1/2), block 3 l= 2 (m=-2 s=
-1/2,+1/2,m=-1 s=-1/2,+1/2,m=0 s=-1/2,+1/2,m=1 s=-1/2,+1/2,m=2 s=
-1/2,+1/2) etc. One set of blocks for each chemical element.

The result when running SYMPWS.m are block-diagonal matrices, where each
block gives the coefficients for the linear combination of symmetry
adapted plane waves of different reciprocal lattice vectors.

A number of input example files are supplied. Each file starts with
steering data controlling the amount of output data. The number of the
space group follows. Further on the number of chemical elements and the
number of atoms of each chemical element in the primitive unit cell of
the crystal, are added (SYMPRJS.m). The coordinates of each atom in the
unit cell are given (SYMPRJS.m). In case there are non-primitive lattice
translations of the current space group, those shall be supplied. At the
end of the input file, the coordinates of the k-vectors for which the
symmetry adaptation shall be calculated, are added.

Input example files to be run by SYMPRJS.m are diamond.dat, InSb.dat,
sc.dat, wurtzite.dat and Zr.dat.

Input example files to be run by SYMPWS.m are D4_6h.dat, Oh3.dat, Oh7.dat,
Oh10.dat and Td2.dat.

The results of executing the scripts will be presented as ASCII-coded
files and as binary coded files. The latter as block-diagonal data for
further use of symmetry adapted orbitals, plane waves (proj_symprjs.m,
proj_sympws.m) in e.g. relativistic energy band calculations.

test_proj_symprjs.m and test_proj_sympws.m will produce ASCII-code out of
the binary coded files.

For further information, please see Program-SYMPRJS-SYMPWS.doc 
( Program-SYMPRJS-SYMPWS.pdf ).

File List for Symmetry_projection_double_valued_space_groups Directory

• SYMPRJS_SYMPWS.zip [611kB] : Double valued symmetry projection
  

To see individual files in the SYMPRJS_SYMPWS.zip archive above, please click [ here ].

Per-Olof Jansson
per-olof.jansson*|*bredband.net