Just an update to my earlier email and hopefully a help to future users. I 
managed to generate a hard PSP not with the ld1.x code but with the Opium code. 
Although the PseudoDojo website does have a few hard PSPs, they are not hard 
enough. For Cu, the authors of PRB94, 155105 (2016) use a cutoff of 240Ry.

Cheers,
Vahid

> On Sep 14, 2020, at 8:56 AM, Vahid Askarpour <[email protected]> wrote:
> 
> Dear QE Community,
> 
> I am attempting to generate a hard PSP for copper (to calculate the 
> electrical conductivity of pure copper) by including the semi-core states as 
> done in the atomic code manual. The semi-core states are essential for a 
> correct evaluation of conductivity.
> 
> The spreads are:
> 
>     s(3S/3S) =  1.000000  <r> =   0.7133  <r2> =    0.5889  r(max) =   0.6112
>     s(3P/3P) =  1.000000  <r> =   0.7502  <r2> =    0.6671  r(max) =   0.6189
>     s(3D/3D) =  1.000000  <r> =   1.0470  <r2> =    1.5711  r(max) =   0.5961
>     s(4S/4S) =  1.000000  <r> =   2.8937  <r2> =    9.8815  r(max) =   2.2428
> 
> 
> My input file is:
> 
> &INPUT
>  title='Cu',
>  zed=29,
>  config='[Ar] 3d10 4s1',
>  rel=1,
>  dft='LDA'
>  iswitch=3,
>  nld=3,
>  rlderiv=2.41,
>  eminld=-10.0,
>  emaxld=4.0,
>  deld=0.01,
> /
> &INPUTP
>  pseudotype=2
>  lloc=0,
> ! rcloc=1.05
>  nlcc=.true.
>  file_pseudopw=‘Cu.UPF',
>  tm=.true.,
> /
> 3
> 3P  2  1  6.00   0.00  1.25  1.25  0.0
> 3D  3  2 10.00  0.00  1.05  1.05  0.0
> 3S  1  0  2.00   0.00  1.10  1.10  0.0
> &TEST
>  file_pseudo=‘Cu.UPF'
>  nconf=1
>  configts(1)='3s2 3p6 3d10 4s1'
>  ecutmin=50
>  ecutmax=500
>  decut=50
> /
> 
> In the output, I get
> 
>     n l     nl             e AE (Ry)        e PS (Ry)    De AE-PS (Ry) 
>     1 0     3S   1( 2.00)       -8.38991       -8.38991       -0.00000
>     2 1     3P   1( 6.00)       -5.29424       -5.29425        0.00000
>     3 2     3D   1(10.00)      -0.39133       -0.39134        0.00000
>     2 0     4S   1( 1.00)       -0.35756       -0.40614        0.04858  !
> 
> The 3S, 3P and 3D match. The last one does not but the manual says it might 
> not. 
> 
> The convergence is reached at
> 
>     Cutoff (Ry) :  200.0
>                           N = 1       N = 2       N = 3
>     E(L=0) =        -8.3893 Ry   -0.4061 Ry    0.0005 Ry
>     E(L=1) =        -5.2513 Ry   -0.0602 Ry    0.0230 Ry
>     E(L=2) =        -0.2263 Ry    0.0347 Ry    0.0793 Ry
> 
> Here 3P and 3D energies are off by 40 and 170mRy. Using P or D as reference 
> with proper lloc does not improve the energy discrepancy.
> 
> And if I use lloc=-1 with rcloc=1.05, I get
> 
>     n l     nl             e AE (Ry)        e PS (Ry)    De AE-PS (Ry) 
>     1 0     3S   1( 2.00)       -8.38991       -8.38991       -0.00000
>     2 1     3P   1( 6.00)       -5.29424       -5.29425        0.00000
>     3 2     3D   1(10.00)      -0.39133       -0.39134        0.00000
>     2 0     4S   1( 1.00)       -0.35756       -0.35996        0.00240
> 
> 4S energies look better. The convergence is reached at
> 
>     Cutoff (Ry) :  200.0
>                           N = 1       N = 2       N = 3
>     E(L=0) =        -8.3893 Ry   -0.3601 Ry    0.0028 Ry
>     E(L=1) =        -5.2512 Ry   -0.0567 Ry    0.0232 Ry
>     E(L=2) =        -0.2244 Ry    0.0347 Ry    0.0793 Ry
> 
> The 3P and 3D energies are still off by 40 and 170mRy. Changing rcloc from 
> 0.7 to 2.0 (which is too large) does not improve the energy differences for 
> these states.
> 
> It seems that regardless of the choice of lloc, the 3P and 3D energies remain 
> different. 
> 
> I have checked the consistency of the derivatives and wave functions but 
> despite the consistency, phonon calculation with convergence of even 10^-22 
> results in many negative frequencies not just at Gamma but at many other 
> q-points.
> 
> Is there a trick to making the 3P and 3D energies agree beyond what I have 
> already tried?
> 
> Thank you,
> 
> Vahid
> 
> Vahid Askarpour
> Department of physics and atmospheric science
> Dalhousie University
> Halifax, NS
> 
> 
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