[Pw_forum] d projections

Giuseppe Mattioli giuseppe.mattioli at ism.cnr.it
Thu Feb 21 11:30:03 CET 2013


Dear Taoufik
The first two columns contain the total UP and DOWN contributions of the five d orbitals. The 
following ones should be ordered in agreement with the projwfc documentation

      Order of m-components for each l in the output:

          1, cos(phi), sin(phi), cos(2*phi), sin(2*phi), .., cos(l*phi), sin(l*phi)

      where phi is the polar angle:x=r cos(theta)cos(phi), y=r cos(theta)sin(phi)
      This is determined in file flib/ylmr2.f90 that calculates spherical harmonics.

      for l=1:
        1 pz     (m=0)
        2 px     (real combination of m=+/-1 with cosine)
        3 py     (real combination of m=+/-1 with sine)

      for l=2:
        1 dz2    (m=0)
        2 dzx    (real combination of m=+/-1 with cosine)
        3 dzy    (real combination of m=+/-1 with sine)
        4 dx2-y2 (real combination of m=+/-2 with cosine)
        5 dxy    (real combination of m=+/-2 with sine)

There are two ways to know for sure: delve into the projwfc source code, or perform a calculation 
for an isolated transition metal atom (I suggest the closed shell Zn 2+ ion, which has S=0), and 
perform both pp.x calculations of the d orbitals and projwfc.x calculations.

HTH

Giuseppe


On Thursday 21 February 2013 10:43:16 Sakhrawi Taoufek wrote:
> Dear qe users,
> i do post processing calculation for Fe with "projwfc.x", the output file
> look like "fe.pdos_***", this is fe.pdos_atm#1(Fe)_wfc#2(d) file :
> ##########################################################################
> #########
> 
> # E (eV)  ldosup(E)  ldosdw(E) pdosup(E)  pdosdw(E)  pdosup(E)  pdosdw(E) 
> pdosup(E)  pdosdw(E)  pdosup(E)  pdosdw(E)  pdosup(E)  pdosdw(E) 5.894 
> 0.938E-10  0.000E+00  0.606E-16  0.000E+00  0.313E-10  0.000E+00 
> 0.313E-10  0.000E+00  0.606E-16  0.000E+00  0.313E-10  0.000E+00 5.904 
> 0.161E-09  0.000E+00  0.148E-15  0.000E+00  0.538E-10  0.000E+00 
> 0.538E-10  0.000E+00  0.148E-15  0.000E+00  0.538E-10  0.000E+00 5.914 
> 0.273E-09  0.000E+00  0.357E-15  0.000E+00  0.911E-10  0.000E+00 
> 0.911E-10  0.000E+00  0.357E-15  0.000E+00  0.911E-10  0.000E+00 5.924 
> 0.455E-09  0.000E+00  0.846E-15  0.000E+00  0.152E-09  0.000E+00 
> 0.152E-09  0.000E+00  0.846E-15  0.000E+00  0.152E-09  0.000E+00 5.934 
> 0.744E-09  0.000E+00  0.197E-14  0.000E+00  0.248E-09  0.000E+00 
> 0.248E-09  0.000E+00  0.197E-14  0.000E+00  0.248E-09  0.000E+00 5.944 
> 0.120E-08  0.000E+00  0.451E-14  0.000E+00  0.399E-09  0.000E+00 
> 0.399E-09  0.000E+00  0.451E-14  0.000E+00  0.399E-09  0.000E+00 5.954 
> 0.189E-08  0.000E+00  0.102E-13  0.000E+00  0.631E-09  0.000E+00 
> 0.631E-09  0.000E+00  0.102E-13  0.000E+00  0.631E-09  0.000E+00 5.964 
> 0.294E-08  0.000E+00  0.225E-13  0.000E+00  0.981E-09  0.000E+00 
> 0.981E-09  0.000E+00  0.225E-13  0.000E+00  0.981E-09  0.000E+00 5.974 
> 0.450E-08  0.000E+00  0.489E-13  0.000E+00  0.150E-08  0.000E+00 
> 0.150E-08  0.000E+00  0.489E-13  0.000E+00  0.150E-08  0.000E+00 5.984 
> 0.676E-08  0.000E+00  0.105E-12  0.000E+00  0.225E-08  0.000E+00 
> 0.225E-08  0.000E+00  0.105E-12  0.000E+00  0.225E-08  0.000E+00 5.994 
> 0.100E-07  0.000E+00  0.220E-12  0.000E+00  0.333E-08  0.000E+00 
> 0.333E-08  0.000E+00  0.220E-12  0.000E+00  0.333E-08  0.000E+00 6.004 
> 0.145E-07  0.000E+00  0.456E-12  0.000E+00  0.484E-08  0.000E+00 
> 0.484E-08  0.000E+00  0.456E-12  0.000E+00  0.484E-08  0.000E+00 6.014 
> 0.208E-07  0.000E+00  0.927E-12  0.000E+00  0.692E-08  0.000E+00 
> 0.692E-08  0.000E+00  0.927E-12  0.000E+00  0.692E-08  0.000E+00 6.024 
> 0.292E-07  0.000E+00  0.185E-11  0.000E+00  0.973E-08  0.000E+00 
> 0.973E-08  0.000E+00  0.185E-11  0.000E+00  0.973E-08  0.000E+00 6.034 
> 0.404E-07  0.000E+00  0.365E-11  0.000E+00  0.134E-07  0.000E+00 
> 0.134E-07  0.000E+00  0.365E-11  0.000E+00  0.134E-07  0.000E+00 6.044 
> 0.548E-07  0.295E-17  0.705E-11  0.325E-29  0.183E-07  0.984E-18 
> 0.183E-07  0.984E-18  0.705E-11  0.325E-29  0.183E-07  0.984E-18 6.054 
> 0.733E-07  0.745E-17  0.134E-10  0.821E-29  0.244E-07  0.248E-17 
> 0.244E-07  0.248E-17  0.134E-10  0.821E-29  0.244E-07  0.248E-17 6.064 
> 0.964E-07  0.185E-16  0.251E-10  0.203E-28  0.321E-07  0.615E-17 
> 0.321E-07  0.615E-17  0.251E-10  0.203E-28  0.321E-07  0.615E-17 6.074 
> 0.125E-06  0.450E-16  0.461E-10  0.496E-28  0.415E-07  0.150E-16 
> 0.415E-07  0.150E-16  0.461E-10  0.496E-28  0.415E-07  0.150E-16 6.084 
> 0.158E-06  0.108E-15  0.833E-10  0.119E-27  0.528E-07  0.360E-16 
> 0.528E-07  0.360E-16  0.833E-10  0.119E-27  0.528E-07  0.360E-16
> ##########################################################################
> #### is there any one help me to know t2g(dxy,dyz,dzx) and eg(dz²,dx²-y²)
> projections from this file??? thaks
> ======================
> SAKHRAOUI Taoufik
> PhD student
> L.MC.N
> faculty of science of Monastir,
> Tunisia
> ======================

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   Giuseppe Mattioli                            
   CNR - ISTITUTO DI STRUTTURA DELLA MATERIA   
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