Wien2k will automatically calculate the symmetry related splitting of the d-states.

Example 1: Octahedral (cubic) symmetry: WIEN2k sets ISPLIT=2 in case.struct during initialization. This symmetry was detected by x symmetry and you can find the proper point group of your atoms in case.outputs. Because of the ISPLIT=2, when you run x lapw2 -qtl, the case.qtl file will automatically contain for an atom with eg. Oh symmetry:
s,p,d,d-eg,d-t2g,f

Please look at the header of case.qtl, where it tells you the decomposition of the states

Example 2.: hexagonal symmetry (as in hcp Zn,Be or Mg) In case.outputs you find:
pointgroup is -6m2, leading to ISPLIT=4 (see UG for definitions of ISPLIT)
and the header of case.qtl givs:
s,p,pz,pxy,d,d-z2,(d-xy,dx2-y2),(d-xz,dyz),f
So the p-states have been automatically splitted into pz and px+py, while the 5 dstates are splitted into 3 groups, one 1-dimensional and 2 2-dimensional irreducible representations. Wien2k does not give you the "label" of the irrep (like A1g or Eg) as you are looking for, but use a good "group-theory character table" for pointgroup -6m2 and you will find the "name of the representation" (A1g,..) and the corresponding "basis functions" (z, x+y; z**2, xz,xz, ..) so that you can make the corresponding asignment between or splitted partial charges and the "labels".

More complicated is the calculation of "approximate symmetries" (like eg-t2g) in a distorted octahedron), because in that case WIEN2k cannot do it automatically for you, but you can combine the single orbitals in the PROPER coordinate system yourself. In this case the x qtl program can be useful since it allows to calculate the PDOS in a rotated coordinate frame pointing into your "approximate octahedron".

PS: In corundum structure, usually it also has ISPLIT=4 and the d-z2 orbital corresponds to A1g....


Am 26.03.2020 um 01:31 schrieb Wasim Raja Mondal:
Dear Wien2k experts,
                                  I am doing DOS calculation to reproduce some data for V2O3 corundum trigonal structure. In this distorted structure octahedra of oxygen atoms, d orbital should be split into single degenerate a1g and double degenerate eg. I have calculated projected density of states and I am not finding that. So, I have realized that I have to use rotation and for that I want to use QTL program. So far, I have done following steps:

       1. x cif2struct

       2. init_lapw

      3. run_lapw

     4.  edited   case.inq  and used the option qsplit=6

    5. copied templet for case_cf_eg_t2g in my directory.
    6. cp case_cf_eg_t2g to case_cf2 since my atom number V is assigned as 2

   7. Getting error.


Can you suggest any solution? Is this the way to project d to a1g and eg?

Thanks in advance
Wasim


On Wed, Mar 25, 2020 at 1:49 PM Wasim Raja Mondal <wasimr.mon...@gmail.com <mailto:wasimr.mon...@gmail.com>> wrote:

    Dear expert,
                        I am trying to project out t2g and a1g states of
    V d orbitals. For that I want to use qtl program for DOS
    calculation. I am chosing QSPLIT=6 for unitary transformation. For
    that I copied templet as case.cf_d_eg_t2g .

    Can you please suggest me how can I proceed next?



    Thanks


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