If you want that the z-axis points towards a neighboring atom, typically, such a h,k,l for the z-axis is simply the "approximate" difference vector between 2 atoms.

For x it is then a bit more difficult, because it should be another "difference vector", but the h,k,l must be in addition orthogonal to the z-direction.

Am 10.04.2020 um 02:39 schrieb Wasim Raja Mondal:
Dear Prof. Blaha,
                         Thank you for pointing it out. Do you have any guess value for putting h,k,l value in case.qtl file to define new x and z axis for V2O3 corundum structure?

Regards
Wasim

On Thu, Apr 9, 2020 at 2:13 AM Peter Blaha <pbl...@theochem.tuwien.ac.at <mailto:pbl...@theochem.tuwien.ac.at>> wrote:

    But in that case you will NOT get the splitting given in that paper,
    but
    an approximate eg/t2g splitting.
    The a1g (d-z2) orbital in V2O3 does NOT point towards an oxygen, but in
    between 3 oxygens.

    Am 09.04.2020 um 03:48 schrieb Wasim Raja Mondal:
     > Dear All,
     >               Anybody have defined x and z axis such that d
    orbital come
     > close to oxygen lob. How can I do that after observing polyhedral
     > data. For example, I am giving an example of V atom surrounded by
    oxygen
     > polyhedral....
     >
     > Bond: l(V3-O4) =  2.11146(0) Å
     >
     >     3      V3  V  0.14898  0.44693  0.85102 ( 0, 0, 0)+ x, y, z
     >
     >     8      O4  O  0.55347  0.75000  1.05347 ( 0, 0, 1)+ x, y, z
     >
     >
     >
     >
     > Bond: l(V3-O1) =  2.11146(0) Å
     >
     >     3      V3  V  0.14898  0.44693  0.85102 ( 0, 0, 0)+ x, y, z
     >
     >     5      O1  O -0.05347  0.75000  0.75000 (-1, 0, 0)+ x, y, z
     >
     >
     >
     > Bond: l(V3-O2) =  2.01618(0) Å
     >
     >     3      V3  V  0.14898  0.44693  0.85102 ( 0, 0, 0)+ x, y, z
     >
     >     6      O2  O  0.44653  0.25000  0.94653 ( 0, 0, 0)+ x, y, z
     >
     >
     >
     > Bond: l(V3-O5) =  2.01617(0) Å
     >
     >     3      V3  V  0.14898  0.44693  0.85102 ( 0, 0, 0)+ x, y, z
     >
     >     9      O5  O  0.05347  0.25000  1.25000 ( 0, 0, 1)+ x, y, z
     >
     >
     >
     > Bond: l(V3-O6) =  2.11146(0) Å
     >
     >     3      V3  V  0.14898  0.44693  0.85102 ( 0, 0, 0)+ x, y, z
     >
     >    10      O6  O  0.25000  0.75000  0.44653 ( 0, 0, 0)+ x, y, z
     >
     >
     >
     > Thanks
     >
     > Wasim
     >
     >
     >
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-- Peter Blaha
    Inst.Materials Chemistry
    TU Vienna
    Getreidemarkt 9
    A-1060 Vienna
    Austria
    +43-1-5880115671
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--
Peter Blaha
Inst.Materials Chemistry
TU Vienna
Getreidemarkt 9
A-1060 Vienna
Austria
+43-1-5880115671
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