[Wien] Problems in trying to reproduce Cu EFG:s in Cu2O

Thomas Claesson tcl at kth.se
Tue May 22 17:25:36 CEST 2007


Dear Wien users and developers!

I am working on Cu2O and as a start I want to be able to reproduce the
results of Laskowski et. al from PRB 67, 075102 (2003). However, it seems
I am not able to reproduce the values for Cu electric field gradients very
well, even though I have used the same values for all relevant input
parameters as far as I can see. Compairing with the results in table II in
the article, I get a good, although not exact, agreement for the
components of the EFG using the LDA functional. When I switch to
LSDA+U(SIC) for Cu d-orbitals, I get results differing singificantly from
those in the paper:

Cu EFG in units of 10^21 v/m^2

My results:

		p-p	d-d	s-d	"sphere"	Total
LDA		-15.9	10.5	0.18	-5.3		-5.2
LDA+U(SIC)	-16.3	9.7	0.15	-6.5		-6.4


Results of Laskowski et al.:

		p-p	d-d	s-d	"sphere"	Total
LDA(S)		-15.9	10.6	0.18	-5.1		-5.1
LDA+U(SIC)	-16.2	8.7	0.15	-7.4		-7.3

As you can see, there is a large difference in the total EFG for
LDA+U(SIC), mainly stemming from the large difference in d-d contribution.
The p-p and s-d contributions are in good agreement. I have used values
for RMT:s, linearisation energies, RKmax, k-mesh and other parameters
according to the specifications in the article.

My main interest is actually not the Cu-EFG:s, I am more interested in the
energy band dispersion in the case of LDA+U. But still I find it very
strange and quite worrying that the EFG is so much off. I don't have any
idea what could be causing this discrepancy. Could anyone help me and
point out what could be wrong and/or what I should try next?


I am running the precompiled binaries of Wien2k, ver WIEN2k_06.3 (Release
10/5/2006) on a Red Hat PC. Below I have attached relevant input files for
the LDA+U(SIC) case: case.struct, case.inorb, case.in1, case.in2, case.scf
and case.output2up.

Any suggestions are welcome!

Thanks in advance for your help

Best regards,
Thomas Claesson

%%%%%%%% case.struct %%%%%%%%%%

Cu2O
P   LATTICE,NONEQUIV.ATOMS:  2224_Pn-3m
MODE OF CALC=RELA unit=ang
  8.066299  8.066299  8.066299 90.000000 90.000000 90.000000
ATOM  -1: X=0.00000000 Y=0.00000000 Z=0.00000000
          MULT= 4          ISPLIT= 8
      -1: X=0.00000000 Y=0.50000000 Z=0.50000000
      -1: X=0.50000000 Y=0.50000000 Z=0.00000000
      -1: X=0.50000000 Y=0.00000000 Z=0.50000000
Cu         NPT=  781  R0=0.00005000 RMT=    1.8000   Z: 29.0
LOCAL ROT MATRIX:    0.4082483-0.7071068 0.5773503
                     0.4082483 0.7071068 0.5773503
                    -0.8164966 0.0000000 0.5773503
ATOM   2: X=0.25000000 Y=0.25000000 Z=0.25000000
          MULT= 2          ISPLIT= 2
       2: X=0.75000000 Y=0.75000000 Z=0.75000000
O          NPT=  781  R0=0.00010000 RMT=    1.5500   Z:  8.0
LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
                     0.0000000 1.0000000 0.0000000
                     0.0000000 0.0000000 1.0000000
  48      NUMBER OF SYMMETRY OPERATIONS


%%%%%%%%% case.inorb %%%%%%%%

1 1 0
PRATT, 1.0
1 1 2
1
0.59 0.07



%%%%%%%%% case.in1 %%%%%%%%%%%


WFFIL        (WFPRI, SUPWF)
  7.00       10    4 (R-MT*K-MAX; MAX L IN WF, V-NMT
  0.30    5  0      (GLOBAL E-PARAMETER WITH n OTHER CHOICES, global
APW/LAPW)
 0    0.30      0.000 CONT 1
 0   -8.51      0.005 STOP 1
 1    0.30      0.000 CONT 1
 1   -5.34      0.005 STOP 1
 2    0.30      0.010 CONT 1
  0.30    3  0      (GLOBAL E-PARAMETER WITH n OTHER CHOICES, global
APW/LAPW)
 0   -1.53      0.010 CONT 1
 0    0.30      0.000 CONT 1
 1    0.30      0.000 CONT 1
K-VECTORS FROM UNIT:4  -12.0       2.0      emin/emax window



%%%%%%%%% case.in2 %%%%%%%%%%%

TOT             (TOT,FOR,QTL,EFG,FERMI)
     -12.0      88.0 0.50 0.05                EMIN, NE, ESEPERMIN, ESEPER0
TETRA    0.000          (GAUSS,ROOT,TEMP,TETRA,ALL      eval)
  0 0  2 0  4 0  4 3  6 0  6 3  6 6
  0 0  4 0  4 4  6 0  6 4 -3 2
 14.          GMAX
NOFILE        FILE/NOFILE  write recprlist


%%%%%%%% extract from case.scf %%%%%%%%%

:ITE110:110. ITERATION
            ---------

       NUMBER OF ATOMS IN UNITCELL  =   2
       SUBSTANCE: Cu2O

       LATTICE                      = P
:POT  : POTENTIAL OPTION    5
:LAT  : LATTICE CONSTANTS=  8.06630  8.06630  8.06630    1.571    1.571   
1.571
:VOL  : UNIT CELL VOLUME =     524.83519
       MODE OF CALCULATION IS       = RELA
       SPINPOLARIZED CALCULATION
:IFFT  : FFT-parameters:   36   36   36
       ATOMNUMBER=  1 Cu         VCOUL-ZERO =  0.43755E-01
:EFG001:                        EFG         =    -6.36587   *10**21  V / m**2
                               V20  TOT/SRF=    -5.51300     0.15184
                               V22  TOT/SRF=     0.00000     0.00000
                               V22M TOT/SRF=     0.00000     0.00000
                               V21  TOT/SRF=     0.00000     0.00000
                               V21M TOT/SRF=     0.00000     0.00000

              3.18293    0.00000    0.00000        3.18293    0.00000   
0.00000
              0.00000    3.18293    0.00000        0.00000    3.18293   
0.00000
              0.00000    0.00000   -6.36587        0.00000    0.00000  
-6.36587

         MAIN DIRECTIONS OF THE EFG   1.0000  0.0000  0.0000
                                      0.0000  1.0000  0.0000
                                      0.0000  0.0000  1.0000
:ANG001:  ANGLE WITH OLD X-AXIS =         0.0

:ETA001:                         ASYMM. ETA =     0.00000


       ATOMNUMBER=  2 O          VCOUL-ZERO =  0.21314E+00
:FIT001: SIGMA OF V-XC FIT FOR ATOM  1  0.1441654E-02
:FIT001: SIGMA OF V-XC FIT FOR ATOM  1  0.1441654E-02
:FIT002: SIGMA OF V-XC FIT FOR ATOM  2  0.3348337E-03
:FIT002: SIGMA OF V-XC FIT FOR ATOM  2  0.3348337E-03
:DEN  : DENSITY INTEGRALS =           -5804.867339   (Ry)
       ELS_POTENTIAL_AT Z=0 and Z=0.5:   0.00000   0.00000
       ELS_POTENTIAL_AT Y=0 and Y=0.5:   0.00000   0.00000
:VZERO:v0,v0c,v0x  -0.76888   0.00000  -0.76888 v5,v5c,v5x  -0.76888  
0.00000  -0.76888
:VZERY:v0,v0c,v0x  -0.76888   0.00000  -0.76888 v5,v5c,v5x  -0.76888  
0.00000  -0.76888
:VZERX:v0,v0c,v0x  -2.27676  -1.45263  -0.82413 v5,v5c,v5x  -2.27676 
-1.45263  -0.82413
        Fully Localized Limit method
        Atom  1 L=  2 U=  0.590 J=  0.070 Ry
:EORB:     3.981349

        Atom           1  spin up   Potential real part (Ry)
        M= -2  -0.19445   0.00000   0.00000  -0.00001   0.00000
        M= -1   0.00000  -0.21569   0.00000   0.00000   0.00001
        M=  0   0.00000   0.00000  -0.15156   0.00000   0.00000
        M=  1  -0.00001   0.00000   0.00000  -0.21569   0.00000
        M=  2   0.00000   0.00001   0.00000   0.00000  -0.19445

                       Potential imaginary part (Ry)
        M= -2   0.00000   0.00000   0.00000   0.00000   0.00000
        M= -1   0.00000   0.00000   0.00000   0.00000   0.00000
        M=  0   0.00000   0.00000   0.00000   0.00000   0.00000
        M=  1   0.00000   0.00000   0.00000   0.00000   0.00000
        M=  2   0.00000   0.00000   0.00000   0.00000   0.00000
        Fully Localized Limit method
        Atom  1 L=  2 U=  0.590 J=  0.070 Ry
:EORB:     3.981349

        Atom           1  spin down Potential real part (Ry)
        M= -2  -0.19445   0.00000   0.00000  -0.00001   0.00000
        M= -1   0.00000  -0.21569   0.00000   0.00000   0.00001
        M=  0   0.00000   0.00000  -0.15156   0.00000   0.00000
        M=  1  -0.00001   0.00000   0.00000  -0.21569   0.00000
        M=  2   0.00000   0.00001   0.00000   0.00000  -0.19445

                       Potential imaginary part (Ry)
        M= -2   0.00000   0.00000   0.00000   0.00000   0.00000
        M= -1   0.00000   0.00000   0.00000   0.00000   0.00000
        M=  0   0.00000   0.00000   0.00000   0.00000   0.00000
        M=  1   0.00000   0.00000   0.00000   0.00000   0.00000
        M=  2   0.00000   0.00000   0.00000   0.00000   0.00000
 LDA+U potential       added for atom type  1 L=  2 spin up

          ATOMIC SPHERE DEPENDENT PARAMETERS FOR ATOM  Cu
          OVERALL ENERGY PARAMETER IS    0.3000
          OVERALL BASIS SET ON ATOM IS LAPW
          E( 0)=    0.3000
             APW+lo
          E( 0)=   -7.7000   E(BOTTOM)=   -7.785   E(TOP)=   -7.615
             LOCAL ORBITAL
          E( 1)=    0.3000
             APW+lo
          E( 1)=   -4.6250   E(BOTTOM)=   -4.795   E(TOP)=   -4.455
             LOCAL ORBITAL
          E( 2)=    0.2800   E(BOTTOM)=   -0.240   E(TOP)=    0.800
             APW+lo

          ATOMIC SPHERE DEPENDENT PARAMETERS FOR ATOM  O
          OVERALL ENERGY PARAMETER IS    0.3000
          OVERALL BASIS SET ON ATOM IS LAPW
          E( 0)=   -0.8300   E(BOTTOM)=   -2.360   E(TOP)=    0.700
             APW+lo
          E( 0)=    0.3000
             LOCAL ORBITAL
          E( 1)=    0.3000
             APW+lo

       K=   0.10000   0.10000   0.10000            1
:RKM  : MATRIX SIZE  864LOs:  62  RKM= 6.96  WEIGHT= 8.00  PGR:
       EIGENVALUES ARE:
        -7.6831266   -7.6829949   -7.6829913   -7.6829913   -4.5976226
        -4.5965478   -4.5964561   -4.5964561   -4.5836250   -4.5836250
        -4.5830870   -4.5830870   -4.5830380   -4.5828500   -4.5827816
        -4.5827816   -1.0773936   -1.0256549   -0.1737757   -0.1737757
        -0.1600479   -0.0323162    0.0024205    0.0024205    0.0319988
         0.0787333    0.0787333    0.1034689    0.1034689    0.1114944
         0.1356409    0.1356409    0.1439428    0.1470376    0.1470376
         0.1553202    0.1553202    0.1608683    0.1700979    0.1700979

         0.1708168    0.2995611    0.2995611    0.3275246    0.4125901
         0.5192252    0.5192252    0.8770829    0.9551973    0.9551973
         0.9720531    0.9720531    1.0868342    1.2244191    1.2812205
         1.3085827    1.3085827    1.4082615    1.4082615    1.4952605
         1.5461173    1.5519274    1.5519274    1.6090938    1.6090938

       ********************************************************

       NUMBER OF K-POINTS:          10
 LDA+U potential       added for atom type  1 L=  2 spin down

          ATOMIC SPHERE DEPENDENT PARAMETERS FOR ATOM  Cu
          OVERALL ENERGY PARAMETER IS    0.3000
          OVERALL BASIS SET ON ATOM IS LAPW
          E( 0)=    0.3000
             APW+lo
          E( 0)=   -7.7000   E(BOTTOM)=   -7.785   E(TOP)=   -7.615
             LOCAL ORBITAL
          E( 1)=    0.3000
             APW+lo
          E( 1)=   -4.6250   E(BOTTOM)=   -4.795   E(TOP)=   -4.455
             LOCAL ORBITAL
          E( 2)=    0.2800   E(BOTTOM)=   -0.240   E(TOP)=    0.800
             APW+lo

          ATOMIC SPHERE DEPENDENT PARAMETERS FOR ATOM  O
          OVERALL ENERGY PARAMETER IS    0.3000
          OVERALL BASIS SET ON ATOM IS LAPW
          E( 0)=   -0.8300   E(BOTTOM)=   -2.360   E(TOP)=    0.700
             APW+lo
          E( 0)=    0.3000
             LOCAL ORBITAL
          E( 1)=    0.3000
             APW+lo

       K=   0.10000   0.10000   0.10000            1
:RKM  : MATRIX SIZE  864LOs:  62  RKM= 6.96  WEIGHT= 8.00  PGR:
       EIGENVALUES ARE:
        -7.6831266   -7.6829949   -7.6829913   -7.6829913   -4.5976226
        -4.5965478   -4.5964561   -4.5964561   -4.5836250   -4.5836250
        -4.5830870   -4.5830870   -4.5830380   -4.5828500   -4.5827816
        -4.5827816   -1.0773936   -1.0256549   -0.1737757   -0.1737757
        -0.1600479   -0.0323162    0.0024205    0.0024205    0.0319988
         0.0787333    0.0787333    0.1034689    0.1034689    0.1114944
         0.1356409    0.1356409    0.1439428    0.1470376    0.1470376
         0.1553202    0.1553202    0.1608683    0.1700979    0.1700979

         0.1708168    0.2995611    0.2995611    0.3275246    0.4125901
         0.5192252    0.5192252    0.8770829    0.9551973    0.9551973
         0.9720531    0.9720531    1.0868342    1.2244191    1.2812205
         1.3085827    1.3085827    1.4082615    1.4082615    1.4952605
         1.5461173    1.5519274    1.5519274    1.6090938    1.6090938

       ********************************************************

       NUMBER OF K-POINTS:          10
:GMA  : POTENTIAL AND CHARGE CUT-OFF  14.00 Ry**.5
         Bandranges (emin - emax):
:BAND   :  34    0.133625    0.147038
:BAND   :  35    0.139818    0.148846
:BAND   :  36    0.145541    0.155320
:BAND   :  37    0.148318    0.160565
:BAND   :  38    0.148318    0.162327
:BAND   :  39    0.162421    0.183596
:BAND   :  40    0.167966    0.187510
:BAND   :  41    0.170817    0.261319
:BAND   :  42    0.216234    0.299561
:BAND   :  43    0.264813    0.306433
:BAND   :  44    0.281576    0.327525
:BAND   :  45    0.412590    0.558582
:BAND   :  46    0.519225    0.604726
:BAND   :  47    0.519225    0.658852
:BAND   :  48    0.646184    0.877083
:BAND   :  49    0.706054    0.955197
        Energy to separate semicore and valencestates:  -0.22378


:NOE  : NUMBER OF ELECTRONS          =  88.000

:FER  : F E R M I - ENERGY(TETRAH.M.)=   0.40689




:POS001: AT.NR.  -1 POSITION = 0.00000 0.00000 0.00000  MULTIPLICITY =  4

       LMMAX  7
       LM=   0 0  2 0  4 0  4 3  6 0  6 3  6 6

:CHA001: TOTAL CHARGE INSIDE SPHERE   1 =     8.488214
:PCS001: PARTIAL CHARGES SPHERE =  1
S,P,D,F,PX,PY,PZ,D-Z2,D-X2Y2,D-XY,D-XZ,D-YZ
:QTL001: 1.0849 3.0292 4.3689 0.0041 1.0002 1.0012 1.0278 0.7776 0.8855
0.8903 0.9071 0.9084
        Q-s-low E-s-low   Q-p-low E-p-low   Q-d-low E-d-low   Q-f-low E-f-low
:EPL001:  1.0039 -7.6417    2.9848 -4.5801    0.0093 -1.0572    0.0007
-1.0567
        Q-s-hi  E-s-hi    Q-p-hi  E-p-hi    Q-d-hi  E-d-hi    Q-f-hi  E-f-hi
:EPH001:  0.0811  0.0744    0.0444  0.0261    4.3596  0.1338    0.0035 
0.0273
:VZZ001: EFG INSIDE SPHERE   1 =    -3.276951      UP TO R =   1.80000




:POS002: AT.NR.   2 POSITION = 0.25000 0.25000 0.25000  MULTIPLICITY =  2

       LMMAX  6
       LM=   0 0  4 0  4 4  6 0  6 4 -3 2

:CHA002: TOTAL CHARGE INSIDE SPHERE   2 =     2.501830
:PCS002: PARTIAL CHARGES SPHERE =  2 S,P,D,F,      D-EG,D-T2G
:QTL002: 0.7567 1.7295 0.0122 0.0026 0.0000 0.0000 0.0000 0.0046 0.0076
0.0000 0.0000 0.0000
        Q-s-low E-s-low   Q-p-low E-p-low   Q-d-low E-d-low   Q-f-low E-f-low
:EPL002:  0.7429 -1.0521    0.0008 -3.8530    0.0003 -4.6463    0.0002
-3.5868
        Q-s-hi  E-s-hi    Q-p-hi  E-p-hi    Q-d-hi  E-d-hi    Q-f-hi  E-f-hi
:EPH002:  0.0138  0.0690    1.7287 -0.0215    0.0118  0.1123    0.0024 
0.1404

:CHA  : TOTAL CHARGE INSIDE UNIT CELL =      44.000000

:SUM  : SUM OF EIGENVALUES =            -85.370745

:GMA  : POTENTIAL AND CHARGE CUT-OFF  14.00 Ry**.5
         Bandranges (emin - emax):
:BAND   :  34    0.133625    0.147038
:BAND   :  35    0.139818    0.148846
:BAND   :  36    0.145541    0.155320
:BAND   :  37    0.148318    0.160565
:BAND   :  38    0.148318    0.162327
:BAND   :  39    0.162421    0.183596
:BAND   :  40    0.167966    0.187510
:BAND   :  41    0.170817    0.261319
:BAND   :  42    0.216234    0.299561
:BAND   :  43    0.264813    0.306433
:BAND   :  44    0.281576    0.327525
:BAND   :  45    0.412590    0.558582
:BAND   :  46    0.519225    0.604726
:BAND   :  47    0.519225    0.658852
:BAND   :  48    0.646184    0.877083
:BAND   :  49    0.706054    0.955197
        Energy to separate semicore and valencestates:  -0.22378


:NOE  : NUMBER OF ELECTRONS          =  88.000

:FER  : F E R M I - ENERGY(TETRAH.M.)=   0.40689




:POS001: AT.NR.  -1 POSITION = 0.00000 0.00000 0.00000  MULTIPLICITY =  4

       LMMAX  7
       LM=   0 0  2 0  4 0  4 3  6 0  6 3  6 6

:CHA001: TOTAL CHARGE INSIDE SPHERE   1 =     8.488214
:PCS001: PARTIAL CHARGES SPHERE =  1
S,P,D,F,PX,PY,PZ,D-Z2,D-X2Y2,D-XY,D-XZ,D-YZ
:QTL001: 1.0849 3.0292 4.3689 0.0041 1.0002 1.0012 1.0278 0.7776 0.8855
0.8903 0.9071 0.9084
        Q-s-low E-s-low   Q-p-low E-p-low   Q-d-low E-d-low   Q-f-low E-f-low
:EPL001:  1.0039 -7.6417    2.9848 -4.5801    0.0093 -1.0572    0.0007
-1.0567
        Q-s-hi  E-s-hi    Q-p-hi  E-p-hi    Q-d-hi  E-d-hi    Q-f-hi  E-f-hi
:EPH001:  0.0811  0.0744    0.0444  0.0261    4.3596  0.1338    0.0035 
0.0273
:VZZ001: EFG INSIDE SPHERE   1 =    -3.276951      UP TO R =   1.80000




:POS002: AT.NR.   2 POSITION = 0.25000 0.25000 0.25000  MULTIPLICITY =  2

       LMMAX  6
       LM=   0 0  4 0  4 4  6 0  6 4 -3 2

:CHA002: TOTAL CHARGE INSIDE SPHERE   2 =     2.501830
:PCS002: PARTIAL CHARGES SPHERE =  2 S,P,D,F,      D-EG,D-T2G
:QTL002: 0.7567 1.7295 0.0122 0.0026 0.0000 0.0000 0.0000 0.0046 0.0076
0.0000 0.0000 0.0000
        Q-s-low E-s-low   Q-p-low E-p-low   Q-d-low E-d-low   Q-f-low E-f-low
:EPL002:  0.7429 -1.0521    0.0008 -3.8530    0.0003 -4.6463    0.0002
-3.5868
        Q-s-hi  E-s-hi    Q-p-hi  E-p-hi    Q-d-hi  E-d-hi    Q-f-hi  E-f-hi
:EPH002:  0.0138  0.0690    1.7287 -0.0215    0.0118  0.1123    0.0024 
0.1404

:CHA  : TOTAL CHARGE INSIDE UNIT CELL =      44.000000

:SUM  : SUM OF EIGENVALUES =            -85.370745

 Density matrix UPUP block, real part.  L= 2
         0.88791  0.00000  0.00000  0.00002  0.00000
         0.00000  0.90777  0.00000  0.00000 -0.00002
         0.00000  0.00000  0.77756  0.00000  0.00000
         0.00002  0.00000  0.00000  0.90777  0.00000
         0.00000 -0.00002  0.00000  0.00000  0.88791
 Density matrix, imag part
         0.00000  0.00000  0.00000  0.00000  0.00000
         0.00000  0.00000  0.00000  0.00000  0.00000
         0.00000  0.00000  0.00000  0.00000  0.00000
         0.00000  0.00000  0.00000  0.00000  0.00000
         0.00000  0.00000  0.00000  0.00000  0.00000

:TRA001:  TRACE of UPUP MATRIX=   4.36893   0.00000
:POM001UP ORBITAL MOMENT in global orthog. system=  0.00000  0.00000  0.00000



:ORB001:  ORBITAL MOMENT:  0.00000  0.00000  0.00000 PROJECTION ON M  0.00000
:SPI001:  SPIN MOMENT:   0.00000   0.00000  -4.36893 PROJECTION ON M -4.36893
 Density matrix UPUP block, real part.  L= 2
         0.88791  0.00000  0.00000  0.00002  0.00000
         0.00000  0.90777  0.00000  0.00000 -0.00002
         0.00000  0.00000  0.77756  0.00000  0.00000
         0.00002  0.00000  0.00000  0.90777  0.00000
         0.00000 -0.00002  0.00000  0.00000  0.88791
 Density matrix, imag part
         0.00000  0.00000  0.00000  0.00000  0.00000
         0.00000  0.00000  0.00000  0.00000  0.00000
         0.00000  0.00000  0.00000  0.00000  0.00000
         0.00000  0.00000  0.00000  0.00000  0.00000
         0.00000  0.00000  0.00000  0.00000  0.00000

:TRA001:  TRACE of UPUP MATRIX=   4.36893   0.00000
:POM001UP ORBITAL MOMENT in global orthog. system=  0.00000  0.00000  0.00000



:ORB001:  ORBITAL MOMENT:  0.00000  0.00000  0.00000 PROJECTION ON M  0.00000
:SPI001:  SPIN MOMENT:   0.00000   0.00000  -4.36893 PROJECTION ON M -4.36893

        1.ATOM      Cu                    4 CORE STATES
:1S 001: 1S                   -648.365342 Ry
:2S 001: 2S                    -77.201563 Ry
:2PP001: 2P*                   -67.630030 Ry
:2P 001: 2P                    -66.127044 Ry

        2.ATOM      O                     1 CORE STATES
:1S 002: 1S                    -36.624728 Ry

        1.ATOM      Cu                    4 CORE STATES
:1S 001: 1S                   -648.365342 Ry
:2S 001: 2S                    -77.201563 Ry
:2PP001: 2P*                   -67.630030 Ry
:2P 001: 2P                    -66.127044 Ry

        2.ATOM      O                     1 CORE STATES
:1S 002: 1S                    -36.624728 Ry

       DENSITY AT NUCLEUS
        JATOM    VALENCE       SEMI-CORE            CORE           TOTAL

:RUP001:   1      148.965172        0.000000    11109.370668    11258.335839
:RUP002:   2        7.379274        0.000000      149.702526      157.081801

       DENSITY AT NUCLEUS
        JATOM    VALENCE       SEMI-CORE            CORE           TOTAL

:RDN001:   1      148.965172        0.000000    11109.370668    11258.335839
:RDN002:   2        7.379274        0.000000      149.702526      157.081801

       DENSITY AT NUCLEUS
        JATOM    VALENCE       SEMI-CORE            CORE           TOTAL

:RTO001:   1      297.930343        0.000000    22218.741335    22516.671678
:RTO002:   2       14.758549        0.000000      299.405052      314.163601


       SPINDENSITIES AT THE NUCLEUS (THOMSON) FOR ATOM  1
          VALENCE       SEMI-CORE            CORE           TOTAL

           121.314257        0.000000     9045.641130     9166.955387
           121.314257        0.000000     9045.641130     9166.955387
:HFF001: HFF:   0.000           0.000           0.000           0.000
(KGAUSS)


       SPINDENSITIES AT THE NUCLEUS (THOMSON) FOR ATOM  2
          VALENCE       SEMI-CORE            CORE           TOTAL

             7.324451        0.000000      148.581295      155.905746
             7.324451        0.000000      148.581295      155.905746
:HFF002: HFF:   0.000           0.000           0.000           0.000
(KGAUSS)

       CHARGES OF NEW CHARGE DENSITY
:NUP  : SPIN-UP INTERSTITIAL CHARGE=  5.0434769
:NDN  : SPIN-DN INTERSTITIAL CHARGE=  5.0434769
:NTO  : TOTAL   INTERSTITIAL CHARGE= 10.0869537
:NUP001: SPIN-UP CHARGE IN SPHERE  1 = 13.4882139
:NUP002: SPIN-UP CHARGE IN SPHERE  2 =  3.5018304
:NDN001: SPIN-DN CHARGE IN SPHERE  1 = 13.4882139
:NDN002: SPIN-DN CHARGE IN SPHERE  2 =  3.5018304
:NTO001: TOTAL   CHARGE IN SPHERE  1 = 26.9764277
:NTO002: TOTAL   CHARGE IN SPHERE  2 =  7.0036608

:NEC01: NUCLEAR AND ELECTRONIC CHARGE  132.00000 131.99999   1.00000

       CHARGES OF OLD CHARGE DENSITY
:OUP  : SPIN-UP INTERSTITIAL CHARGE=  5.0434838
:ODN  : SPIN-DN INTERSTITIAL CHARGE=  5.0434838
:OTO  : TOTAL   INTERSTITIAL CHARGE= 10.0869676
:OUP001: SPIN-UP CHARGE IN SPHERE  1 = 13.4882139
:OUP002: SPIN-UP CHARGE IN SPHERE  2 =  3.5018304
:ODN001: SPIN-DN CHARGE IN SPHERE  1 = 13.4882139
:ODN002: SPIN-DN CHARGE IN SPHERE  2 =  3.5018304
:OTO001: TOTAL   CHARGE IN SPHERE  1 = 26.9764277
:OTO002: TOTAL   CHARGE IN SPHERE  2 =  7.0036608

:NEC02: NUCLEAR AND ELECTRONIC CHARGE  132.00000 132.00000   1.00000

       CONVERGENCE TEST
:DUP001: SPIN-UP DIFFERENCE CHARGE**2 IN SPHERE  1 =  0.0000000
:DUP002: SPIN-UP DIFFERENCE CHARGE**2 IN SPHERE  2 =  0.0000000
:DDN001: SPIN-DN DIFFERENCE CHARGE**2 IN SPHERE  1 =  0.0000000
:DDN002: SPIN-DN DIFFERENCE CHARGE**2 IN SPHERE  2 =  0.0000000
:DTO001: TOTAL   DIFFERENCE CHARGE**2 IN SPHERE  1 =  0.0000000
:DTO002: TOTAL   DIFFERENCE CHARGE**2 IN SPHERE  2 =  0.0000000

:DIS  :  CHARGE DISTANCE       0.0000000
:BIG check (qbig,qrms,qtot)    0.376D-08   0.689D-08   0.187D-07
:REDuction and QMX before broyd:    1.0000    1.0000    0.4000
:PLANE:  INTERSTITAL DISTANCE  0.0000000
:DIRB :  |BROYD|= 0.331D-06 |PRATT|= 0.252D-06 ANGLE=   6.8 DEGREES
       BROYD MIXING SCHEME WITH 0.300

       CHARGES OF MIXED CHARGE DENSITY
:CUP  : SPIN-UP INTERSTITIAL CHARGE=  5.0434838
:CDN  : SPIN-DN INTERSTITIAL CHARGE=  5.0434838
:CTO  : TOTAL   INTERSTITIAL CHARGE= 10.0869677
:CUP001: SPIN-UP CHARGE IN SPHERE  1 = 13.4882139
:CUP002: SPIN-UP CHARGE IN SPHERE  2 =  3.5018304
:CDN001: SPIN-DN CHARGE IN SPHERE  1 = 13.4882139
:CDN002: SPIN-DN CHARGE IN SPHERE  2 =  3.5018304
:CTO001: TOTAL   CHARGE IN SPHERE  1 = 26.9764277
:CTO002: TOTAL   CHARGE IN SPHERE  2 =  7.0036608

       MAGNETIC MOMENTS OF MIXED CHARGE DENSITY
:MMINT: MAGNETIC MOMENT IN INTERSTITIAL =    0.00000
:MMI001: MAGNETIC MOMENT IN SPHERE   1    =    0.00000
:MMI002: MAGNETIC MOMENT IN SPHERE   2    =    0.00000
:MMTOT: TOTAL MAGNETIC MOMENT IN CELL   =    0.00000

:NEC03: NUCLEAR AND ELECTRONIC CHARGE  132.00000 132.00000   1.00000


:ENE  : ********** TOTAL ENERGY IN Ry =       -13517.753227


%%%%%%%% extract from case.output2up %%%%%%%%%

          --------------------------------------------------------------------
           W A V E F U N C T I O N S   AND   C H A R G E S   IN   S P H E
R E S
          --------------------------------------------------------------------




:POS001: AT.NR.  -1 POSITION = 0.00000 0.00000 0.00000  MULTIPLICITY =  4


   NOT EQUIV ATOM Cu          LOCAL ROTATION MATRIX
                                 0.40825  -0.70711   0.57735
                                 0.40825   0.70711   0.57735
                                -0.81650   0.00000   0.57735
             EQUIV ATOM   1   POSITION:    0.000   0.000   0.000
                                -1.00000   0.00000   0.00000        0.00000
                                 0.00000  -1.00000   0.00000        0.00000
                                 0.00000   0.00000  -1.00000        0.00000
             EQUIV ATOM   2   POSITION:    0.000   0.500   0.500
                                 0.00000   0.00000   1.00000        0.00000
                                -1.00000   0.00000   0.00000        0.50000
                                 0.00000  -1.00000   0.00000        0.50000
             EQUIV ATOM   3   POSITION:    0.500   0.500   0.000
                                 0.00000   0.00000  -1.00000        0.50000
                                -1.00000   0.00000   0.00000        0.50000
                                 0.00000   1.00000   0.00000        0.00000
             EQUIV ATOM   4   POSITION:    0.500   0.000   0.500
                                 0.00000   0.00000   1.00000        0.50000
                                -1.00000   0.00000   0.00000        0.00000
                                 0.00000   1.00000   0.00000        0.50000

          ATOMIC PARAMETERS FOR Cu

           ENERGY PARAMETERS ARE   0.30   0.30   0.28   0.30   0.30   0.30
  0.30
           ENERGY PARAMETERS ARE   0.30   0.30

           L     U(R)          U'(R)         DU/DE        DU'/DE      NORM-U'
           0 -0.798709E+00  0.110364E+00  0.869687E-01  0.374416E+00 
0.502840E-02      3 3 3
           1  0.885721E+00  0.363128E+00 -0.555884E-01 -0.371287E+00 
0.789054E-02      2 2 2
           2  0.264662E+00 -0.316367E+00 -0.487261E+00 -0.584016E+00 
0.209647E+00      0 0 0
           3  0.112588E+01  0.143676E+01 -0.547341E-01 -0.343985E+00 
0.163360E-02      0 0 0
           4  0.130382E+01  0.253975E+01 -0.363266E-01 -0.307478E+00 
0.568126E-03      0 0 0
           5  0.144436E+01  0.370262E+01 -0.273658E-01 -0.283824E+00 
0.274394E-03      0 0 0
           6  0.156700E+01  0.494668E+01 -0.218185E-01 -0.265816E+00 
0.153198E-03      0 0 0
           7  0.167816E+01  0.627385E+01 -0.180108E-01 -0.251216E+00 
0.934400E-04      0 0 0
           8  0.178101E+01  0.768216E+01 -0.152331E-01 -0.238956E+00 
0.606256E-04      0 0 0
           0  0.784428E-01 -0.168675E+00                                  
             0 2 0
LO COEFFICIENT: l,A,B,C   0          0.83797     7.69579     0.00000
LO COEFFICIENT: l,A,B,C   0          0.09726     0.00000     0.99031
           1 -0.124076E+00  0.213640E+00                                  
             0 1 0
LO COEFFICIENT: l,A,B,C   1          0.57704     9.19429     0.00000
LO COEFFICIENT: l,A,B,C   1          0.13588     0.00000     0.97002
LO COEFFICIENT: l,A,B,C   2          0.97044     0.52711     0.00000
  atom           1  ncomu           0  lmmax           7

       LMMAX  7
       LM=   0 0  2 0  4 0  4 3  6 0  6 3  6 6
0 TOTAL CHARGE INSIDE SPHERE    1:    8.487228
:PCS001: PARTIAL CHARGES SPHERE =  1
S,P,D,F,PX,PY,PZ,D-Z2,D-X2Y2,D-XY,D-XZ,D-YZ
:QTL001: 1.0849 3.0292 4.3689 0.0041 1.0002 1.0012 1.0278 0.7776 0.8855
0.8903 0.9071 0.9084
        Q-s-low E-s-low   Q-p-low E-p-low   Q-d-low E-d-low   Q-f-low E-f-low
:EPL001:  1.0039 -7.6417    2.9848 -4.5801    0.0093 -1.0572    0.0007
-1.0567
        Q-s-hi  E-s-hi    Q-p-hi  E-p-hi    Q-d-hi  E-d-hi    Q-f-hi  E-f-hi
:EPH001:  0.0811  0.0744    0.0444  0.0261    4.3596  0.1338    0.0035 
0.0273
                L  LL  LP     M   MM  MP    CONTRIB TO EFG
                0   2   2      0   0   0          0.033
                1   2   1     -1   0  -1        310.275
                1   2   1      0   0   0       -627.597
                1   2   1      1   0   1        310.275
                1   2   3     -1   0  -1         -0.002
                1   2   3      0   0   0         -0.012
                1   2   3      1   0   1         -0.002
                2   2   0      0   0   0          0.033
                2   2   2     -2   0  -2         36.756
                2   2   2     -1   0  -1        -18.884
                2   2   2      0   0   0        -31.531
                2   2   2      1   0   1        -18.884
                2   2   2      2   0   2         36.756
                3   2   1     -1   0  -1         -0.002
                3   2   1      0   0   0         -0.012
                3   2   1      1   0   1         -0.002
                3   2   3     -3   0  -3          0.000
                3   2   3     -2   0  -2          0.000
                3   2   3     -1   0  -1         -0.001
                3   2   3      0   0   0         -0.003
                3   2   3      1   0   1         -0.001
                3   2   3      2   0   2          0.000
                3   2   3      3   0   3          0.000
 -Total valence contribution to EFG tensor -

               TOTAL VCOUL 20 =      -2.804
               TOTAL VCOUL 22 =       0.000
               TOTAL VCOUL 22M=       0.000
               TOTAL VCOUL 21 =       0.000
               TOTAL VCOUL 21M=       0.000
               CARTH. TENSOR:
               V_xx=V_22-V_20/sqrt3; V_yy=-V_22-V_20/sqrt3; V_zz=2*V_20/sqrt3
               V_xy=V_22M; V_xz=V_21; V_yz=V_21M
              1.61908    0.00000    0.00000
              0.00000    1.61908    0.00000
              0.00000    0.00000   -3.23816


         Eigenvalues        Eigen vectors (rows)
             -3.2382         0.0000  0.0000  1.0000
              1.6191         0.0000  1.0000  0.0000
              1.6191         1.0000  0.0000  0.0000

 ------ pp ------------------
              4.06879    0.00000    0.00000
              0.00000    4.06879    0.00000
              0.00000    0.00000   -8.13758


         Eigenvalues        Eigen vectors (rows)
             -8.1376         0.0000  0.0000  1.0000
              4.0688         0.0000  1.0000  0.0000
              4.0688         1.0000  0.0000  0.0000

 partial QMAT projection on eigenvectors of total tensor
             -8.13758    0.00000    0.00000
              0.00000    4.06879    0.00000
              0.00000    0.00000    4.06879

 ------ sd ------------------
             -0.03787    0.00000    0.00000
              0.00000   -0.03787    0.00000
              0.00000    0.00000    0.07574


         Eigenvalues        Eigen vectors (rows)
             -0.0379         1.0000  0.0000  0.0000
             -0.0379         0.0000  1.0000  0.0000
              0.0757         0.0000  0.0000  1.0000

 partial QMAT projection on eigenvectors of total tensor
              0.07574    0.00000    0.00000
              0.00000   -0.03787    0.00000
              0.00000    0.00000   -0.03787

 ------ dd ------------------
             -2.43291    0.00000    0.00000
              0.00000   -2.43291    0.00000
              0.00000    0.00000    4.86583


         Eigenvalues        Eigen vectors (rows)
             -2.4329         1.0000  0.0000  0.0000
             -2.4329         0.0000  1.0000  0.0000
              4.8658         0.0000  0.0000  1.0000

 partial QMAT projection on eigenvectors of total tensor
              4.86583    0.00000    0.00000
              0.00000   -2.43291    0.00000
              0.00000    0.00000   -2.43291

 ------ pf ------------------
              0.01833    0.00000    0.00000
              0.00000    0.01833    0.00000
              0.00000    0.00000   -0.03667


         Eigenvalues        Eigen vectors (rows)
             -0.0367         0.0000  0.0000  1.0000
              0.0183         0.0000  1.0000  0.0000
              0.0183         1.0000  0.0000  0.0000

 partial QMAT projection on eigenvectors of total tensor
             -0.03667    0.00000    0.00000
              0.00000    0.01833    0.00000
              0.00000    0.00000    0.01833

 ------ ff ------------------
              0.00274    0.00000    0.00000
              0.00000    0.00274    0.00000
              0.00000    0.00000   -0.00548


         Eigenvalues        Eigen vectors (rows)
             -0.0055         0.0000  0.0000  1.0000
              0.0027         0.0000  1.0000  0.0000
              0.0027         1.0000  0.0000  0.0000




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