[Pw_forum] Magnetic moment values

Paolo Giannozzi paolo.giannozzi at uniud.it
Wed Jan 7 11:31:03 CET 2015


On Thu, 2015-01-01 at 21:47 +0000, Youssef Aharbil wrote:


> when comparing the values of magnetic moments printed by the last SCF
> cycle from pw.x and the polarization form projwfc.x , I realized
> that's :
> 
> 1-The values different seriously between one another
> 
> 2-The sum of the magnetics moments from projwfc.x agree with the total
> magnetization moment.
> 3-The sum of the magnetics moments from pw.x don't agree with the
> total magnetization moment.
> 
> Can someone explain me Why?

because they are computed in a different way

Paolo

> Below the outputs
> 
> 
> Projwfc.x
> 
> Lowdin Charges: 
> 
>      Atom #   1: total charge =  13.3560, s =  2.3377, p =  7.0615, d
> =  3.9568, 
>                  spin up      =   6.6471, s =  1.1698, 
>                  spin up      =   6.6471, p =  3.5293, pz=  1.1764,
> px=  1.1764, py=  1.1764, 
>                  spin up      =   6.6471, d =  1.9480, dz2=  0.4120,
> dxz=  0.3747, dyz=  0.3747, dx2-y2=  0.4120, dxy=  0.3747, 
>                  spin down    =   6.7089, s =  1.1679, 
>                  spin down    =   6.7089, p =  3.5322, pz=  1.1774,
> px=  1.1774, py=  1.1774, 
>                  spin down    =   6.7089, d =  2.0087, dz2=  0.3995,
> dxz=  0.4032, dyz=  0.4032, dx2-y2=  0.3995, dxy=  0.4032, 
>                  polarization =  -0.0617, s =  0.0018, p = -0.0029, d
> = -0.0607, 
>      Atom #   2: total charge =   8.6873, s =  0.3333, p =  1.0208, d
> =  7.3333, 
>                  spin up      =   5.6434, s =  0.1712, 
>                  spin up      =   5.6434, p =  0.5111, pz=  0.1704,
> px=  0.1704, py=  0.1704, 
>                  spin up      =   5.6434, d =  4.9611, dz2=  0.9929,
> dxz=  0.9918, dyz=  0.9918, dx2-y2=  0.9929, dxy=  0.9918, 
>                  spin down    =   3.0439, s =  0.1621, 
>                  spin down    =   3.0439, p =  0.5097, pz=  0.1699,
> px=  0.1699, py=  0.1699, 
>                  spin down    =   3.0439, d =  2.3722, dz2=  0.1424,
> dxz=  0.6958, dyz=  0.6958, dx2-y2=  0.1424, dxy=  0.6958, 
>                  polarization =   2.5995, s =  0.0091, p =  0.0014, d
> =  2.5890, 
>      Atom #   3: total charge =   8.3142, s =  1.9641, p =  6.3501, d
> =  0.0000, 
>                  spin up      =   4.1549, s =  0.9809, 
>                  spin up      =   4.1549, p =  3.1740, pz=  1.0580,
> px=  1.0580, py=  1.0580, 
>                  spin up      =   4.1549, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  spin down    =   4.1593, s =  0.9832, 
>                  spin down    =   4.1593, p =  3.1761, pz=  1.0587,
> px=  1.0587, py=  1.0587, 
>                  spin down    =   4.1593, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  polarization =  -0.0044, s = -0.0023, p = -0.0021, d
> =  0.0000, 
>      Atom #   4: total charge =   8.5059, s =  2.0182, p =  6.4877, d
> =  0.0000, 
>                  spin up      =   4.2496, s =  1.0078, 
>                  spin up      =   4.2496, p =  3.2418, pz=  1.0806,
> px=  1.0806, py=  1.0806, 
>                  spin up      =   4.2496, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  spin down    =   4.2563, s =  1.0104, 
>                  spin down    =   4.2563, p =  3.2459, pz=  1.0820,
> px=  1.0820, py=  1.0820, 
>                  spin down    =   4.2563, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  polarization =  -0.0067, s = -0.0026, p = -0.0041, d
> =  0.0000, 
>      Atom #   5: total charge =   6.6051, s =  1.6515, p =  4.9537, d
> =  0.0000, 
>                  spin up      =   3.3426, s =  0.8307, 
>                  spin up      =   3.3426, p =  2.5118, pz=  0.8518,
> px=  0.8082, py=  0.8518, 
>                  spin up      =   3.3426, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  spin down    =   3.2625, s =  0.8207, 
>                  spin down    =   3.2625, p =  2.4418, pz=  0.8326,
> px=  0.7766, py=  0.8326, 
>                  spin down    =   3.2625, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  polarization =   0.0800, s =  0.0100, p =  0.0700, d
> =  0.0000, 
>      Atom #   6: total charge =   6.6051, s =  1.6515, p =  4.9537, d
> =  0.0000, 
>                  spin up      =   3.3426, s =  0.8307, 
>                  spin up      =   3.3426, p =  2.5118, pz=  0.8518,
> px=  0.8082, py=  0.8518, 
>                  spin up      =   3.3426, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  spin down    =   3.2625, s =  0.8207, 
>                  spin down    =   3.2625, p =  2.4418, pz=  0.8326,
> px=  0.7766, py=  0.8326, 
>                  spin down    =   3.2625, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  polarization =   0.0800, s =  0.0100, p =  0.0700, d
> =  0.0000, 
>      Atom #   7: total charge =   6.6051, s =  1.6515, p =  4.9537, d
> =  0.0000, 
>                  spin up      =   3.3426, s =  0.8307, 
>                  spin up      =   3.3426, p =  2.5118, pz=  0.8518,
> px=  0.8518, py=  0.8082, 
>                  spin up      =   3.3426, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  spin down    =   3.2625, s =  0.8207, 
>                  spin down    =   3.2625, p =  2.4418, pz=  0.8326,
> px=  0.8326, py=  0.7766, 
>                  spin down    =   3.2625, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  polarization =   0.0800, s =  0.0100, p =  0.0700, d
> =  0.0000, 
>      Atom #   8: total charge =   6.6051, s =  1.6515, p =  4.9537, d
> =  0.0000, 
>                  spin up      =   3.3426, s =  0.8307, 
>                  spin up      =   3.3426, p =  2.5118, pz=  0.8518,
> px=  0.8518, py=  0.8082, 
>                  spin up      =   3.3426, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  spin down    =   3.2625, s =  0.8207, 
>                  spin down    =   3.2625, p =  2.4418, pz=  0.8326,
> px=  0.8326, py=  0.7766, 
>                  spin down    =   3.2625, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  polarization =   0.0800, s =  0.0100, p =  0.0700, d
> =  0.0000, 
>      Atom #   9: total charge =   6.6051, s =  1.6515, p =  4.9537, d
> =  0.0000, 
>                  spin up      =   3.3426, s =  0.8307, 
>                  spin up      =   3.3426, p =  2.5118, pz=  0.8082,
> px=  0.8518, py=  0.8518, 
>                  spin up      =   3.3426, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  spin down    =   3.2625, s =  0.8207, 
>                  spin down    =   3.2625, p =  2.4418, pz=  0.7766,
> px=  0.8326, py=  0.8326, 
>                  spin down    =   3.2625, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  polarization =   0.0800, s =  0.0100, p =  0.0700, d
> =  0.0000, 
>      Atom #  10: total charge =   6.6051, s =  1.6515, p =  4.9537, d
> =  0.0000, 
>                  spin up      =   3.3426, s =  0.8307, 
>                  spin up      =   3.3426, p =  2.5118, pz=  0.8082,
> px=  0.8518, py=  0.8518, 
>                  spin up      =   3.3426, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  spin down    =   3.2625, s =  0.8207, 
>                  spin down    =   3.2625, p =  2.4418, pz=  0.7766,
> px=  0.8326, py=  0.8326, 
>                  spin down    =   3.2625, d =  0.0000, dz2=  0.0000,
> dxz=  0.0000, dyz=  0.0000, dx2-y2=  0.0000, dxy=  0.0000, 
>                  polarization =   0.0800, s =  0.0100, p =  0.0700, d
> =  0.0000, 
>      Spilling Parameter:   0.0064
> 
> 
> 
> 
> 
> From pw.x
> 
> total magnetization       =     3.00 Bohr mag/cell
>      absolute magnetization    =     3.18 Bohr mag/cell
> 
>      iteration # 13     ecut=    47.00 Ry     beta=0.50
>      Davidson diagonalization with overlap
>      ethr =  8.77E-11,  avg # of iterations =  3.1
> 
>      negative rho (up, down):  2.380E-05 2.199E-05
>  
>      Magnetic moment per site:
>      atom:    1    charge:    8.2883    magn:   -0.0139    constr:
> 0.0000
>      atom:    2    charge:    6.6118    magn:    2.5332    constr:
> 0.0000
>      atom:    3    charge:    6.8753    magn:   -0.0027    constr:
> 0.0000
>      atom:    4    charge:    7.6743    magn:   -0.0029    constr:
> 0.0000
>      atom:    5    charge:    5.2873    magn:    0.0670    constr:
> 0.0000
>      atom:    6    charge:    5.2873    magn:    0.0670    constr:
> 0.0000
>      atom:    7    charge:    5.2873    magn:    0.0670    constr:
> 0.0000
>      atom:    8    charge:    5.2873    magn:    0.0670    constr:
> 0.0000
>      atom:    9    charge:    5.2873    magn:    0.0670    constr:
> 0.0000
>      atom:   10    charge:    5.2873    magn:    0.0670    constr:
> 0.0000
> 
> 
> 
> 
> Thank you in advance.
> 
> Youssef Aharbil
> 
> PhD
> 
> Laboratory of Physics and Chemistry of Material
> 
> Morocco
> 
> 
> 
> 
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-- 
 Paolo Giannozzi, Dept. Chemistry&Physics&Environment, 
 Univ. Udine, via delle Scienze 208, 33100 Udine, Italy
 Phone +39-0432-558216, fax +39-0432-558222 




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