I attach the relevant part of case.outsymso file.

You can see the classification of symops into
A (preserves M)
B (symop * time inv  preserve M)
C does not preserve M

All 12 operations belong to A or B.

PS: Consider   lapw7   for plotting abs/real/imag part of a wave fuction.
Remember: such phases are not unique, but can contain anarbitrary exp(i phi) factor due to diagonalization.

Am 27.02.2026 um 15:23 schrieb Lukasz Plucinski:
Dear Prof. Blaha,
Thank you for the answer.
Unfortunately, I still have an issue understanding this. I tried to analyze the 12 operations, and it seems (correct me if I am wrong) some of them are vertical mirror planes. However, this CrSb phase cannot have a vertical mirror plane with SOC and M=001 (out of plane Neel), because any vertical mirror would flip the moment of Cr1 spin (axial vector). The Cr2 atom is at another height (another z position), so the mirror cannot swap Cr1 into Cr2.
Could you comment?
Best,
Lukasz

PS: In case you are rewriting the qtl code: would it be possible to print out the relative phases of angular components? I know that the LAPW wave function is quite complex, but perhaps phases (complex amplitudes) can still be useful. I have been plotting real space densities with phases (see Fig. 4 here: https://journals.aps.org/prb/ abstract/10.1103/vcgr-qjyy <https://journals.aps.org/prb/ abstract/10.1103/vcgr-qjyy>) and often it is quite clear which hydrogen- like orbitals participate and how is their phase relationship.



On Wed, Feb 25, 2026 at 2:01 PM Peter Blaha <[email protected] <mailto:[email protected]>> wrote:

    I don't think there is a problem with symmetso.

    CrSb with AF-structure for Cr reduces the 24 symops to 12.
    In this hexagonal lattice, the 2 Sb atoms are connected via inversion
    symmetry.

    Considering SO in 001 direction does not change this. And this is
    definitely ok. (due to hex symmetry you already have a preferred
    direction and SO in 001 does not change this.

    100 direction, however, make a and b directions inequivalent and
    symmetry is reduced. Inversion is still kept, thus the 2 Sb atoms
    remain
    equivalent.

    Am 24.02.2026 um 17:28 schrieb Lukasz Plucinski:
     > Dear Prof. Blaha,
     > Thank you again for the quick response.
     > The particular case is with CrSb (NiAs lattice) and M=001.
     > 1. Cr and Sb atoms connected: space group 194, 24 symmetry operations
     > 2. Disconnect Cr atoms into Cr1 and Cr2: space group 164, 12
    symmetry
     > operations
     > *3. init_so_lapw with M=001: 12 symmetry operations remain (but I
    think
     > only 6 should remain)*
     > 4. init_so_lapw with M=100: 4 symmetry operations remain
     > I might be doing something wrong, but this is how things work for me
     > with automatic scripts. I can provide the case.struct if needed
    for testing.
     > Best,
     > Lukasz
     >
     >
     > On Tue, Feb 24, 2026 at 3:28 PM Peter Blaha
    <[email protected] <mailto:[email protected]>
     > <mailto:[email protected]
    <mailto:[email protected]>>> wrote:
     >
     >     I don't know what you mean by: "the reduction of symmetries
    (due to SOC)
     >     did not work properly "  ???  Specific example, not just
    "feelings".
     >
     >     You can always put your symmetry "by hand" into case.struct, but
     >     i) make sure you do not put (or keep) symmetries, which are
    not present.
     >     ii) eventually, you need to split equivalent positions, if the
     >     corresponding sym.op was removed
     >     iii) The symmetry operations in case.struct, however, must
    also match
     >     conditions for the local rotation matrix AND the LM list in
    case.in2.
     >     You CANNOT remove some sym.ops and keep case.in2 the same.
     >
     >     The k-mesh follows automatically from the symmetry operations
    in your
     >     struct file (and inversion is added, unless -so is specified).
     >
     >     Please note: When comparing total energies with different
    magnetization
     >     directions in case.inso, it is strongly recommended to use a
    "common
     >     symmetry" (eventually P1 or P-1) with identical number of
    inequivalent
     >     atoms.
     >
     >     So test init_so with ALL magn.directions (always using the
    original
     >     struct file) and compare the symmetries. Then decide on a common
     >     symmetry.
     >
     >     A possible "trick" is always to displace an atom or change
    a,b,c a bit
     >     until you get the desired symmetry. After init_lapw, change the
     >     positions or a,b,c back to the original values (but do not run
     >     init_lapw
     >     again).
     >
     >
     >
     >      > instgen_lapw -ask
     >      > init_lapw -b -sp -prec 1 ...
     >      > init_so_lapw
     >      > runsp -so -p -ec ... -cc ...
     >      >
     >      > In the init_so_lapw script I can choose the magnetization
     >     quantization
     >      > axis (which becomes the Neel vector) and then symmetso
    automatically
     >      > reduces the symmetries (if needed) and creates the new
     >     case.struct and
     >      > then a proper klist for SOC.
     >      >
     >      > Sometimes I have a feeling that the reduction of
    symmetries (due
     >     to SOC)
     >      > did not work properly (for example it was not reduced,
    even if I
     >     might
     >      > expect some reduction). I would then like to reduce the
     >     symmetries by
     >      > hand (they are listed in the case.struct file). Is there a
    way to
     >     reduce
     >      > symmetries "by hand" in the case.struct and still run the
     >     calculation
     >      > properly (with reduced symmetries and adequate klist)?
     >      >
     >      > Best,
     >      > Lukasz
     >      >
     >      >
     >      >
     >      >
     >      > On Fri, Feb 20, 2026 at 7:32 PM Peter Blaha
     >     <[email protected] <mailto:[email protected]>
    <mailto:[email protected] <mailto:[email protected]>>
     >      > <mailto:[email protected]
    <mailto:[email protected]>
     >     <mailto:[email protected]
    <mailto:[email protected]>>>> wrote:
     >      >
     >      >     There is a file  case.normsoup/dn.
     >      >     It contains the up/dn charges for each eigenvalue after x
     >     lapwso -up.
     >      >
     >      >     In the next version,   x qtl -so -up   will provide a
     >     case.qtlup/dn
     >      >     file, where the last column contains the total up (dn)
    charge.
     >      >
     >      >     Of course, the interstital may contain spin-
    polarization, but
     >     usually
     >      >     this will be small as compared to the spin-polarization of
     >     the atoms.
     >      >
     >      >
     >      >     Am 20.02.2026 um 10:31 schrieb Lukasz Plucinski:
     >      >      > Dear All,
     >      >      >
     >      >      > I often use qtl to calculate "fat bands". With SOC this
     >     allows to
     >      >      > attribute spin-polarization to bands, in spaghetti
    plots.
     >      >      >
     >      >      > I understand that both qtl and lapw2 only operate
    on charge
     >      >     within MTs.
     >      >      > Is there any way to get total charge per E(k)
    eigenvalue, that
     >      >     means a
     >      >      > sum of MT and interstitial? Of course then there is no
     >      >      > orbital character, but just for spin it should not
    matter.
     >      >      >
     >      >      > lapw5 can plot real space charge densities, so it
    seems the
     >      >     information
     >      >      > is there.
     >      >      >
     >      >      > I ask because I think in some materials
    interstitial spin for
     >      >     E(k) may
     >      >      > not be negligible and it would be useful if WIEN2k can
     >     plot it.
     >      >      >
     >      >      > Best,
     >      >      > Lukasz
     >      >      >
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-------------------------------------------------------------------------
 
  symmetry operation           1
   1   0   0
   0   1   0
   0   0   1
  operation type A preserve M direction

  symmetry operation           2
   0   1   0
  -1  -1   0
   0   0   1
  operation type A preserve M direction

  symmetry operation           3
  -1  -1   0
   1   0   0
   0   0   1
  operation type A preserve M direction

  symmetry operation           4
   0   1   0
   1   0   0
   0   0  -1
  operation type B *(time inv.) preserve M direction

  symmetry operation           5
   1   0   0
  -1  -1   0
   0   0  -1
  operation type B *(time inv.) preserve M direction

  symmetry operation           6
  -1  -1   0
   0   1   0
   0   0  -1
  operation type B *(time inv.) preserve M direction

  symmetry operation           7
  -1   0   0
   0  -1   0
   0   0  -1
  operation type A preserve M direction

  symmetry operation           8
   0  -1   0
   1   1   0
   0   0  -1
  operation type A preserve M direction

  symmetry operation           9
   1   1   0
  -1   0   0
   0   0  -1
  operation type A preserve M direction

  symmetry operation          10
   0  -1   0
  -1   0   0
   0   0   1
  operation type B *(time inv.) preserve M direction

  symmetry operation          11
  -1   0   0
   1   1   0
   0   0   1
  operation type B *(time inv.) preserve M direction

  symmetry operation          12
   1   1   0
   0  -1   0
   0   0   1
  operation type B *(time inv.) preserve M direction
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