I was optimizing Tl lattice parameter, and found a large discrepancy with published PBE results. On a hunch, I decided to re-optimize the pseudopotential, and based on what I tried, it seems the GTH pseudopotential for Tl that ships with CP2K is not correct. The published potential is:
```
Tl GTH-PBE-q13 GTH-PBE
2 1 10
0.55000000 1 12.29058515
3
0.51280306 2 7.19017017 -2.86301073
3.69613096
0.57711505 2 4.76094580 -3.67332496
4.34633671
0.39323001 2 -11.01268700 6.42159202
-7.28140093
```
But, if you run pseudopotential optimization, then you get the following. Note only 1 number changes: `0.39323001 -> 0.32379979 `
```
Tl GTH-PBE-q13
2 1 10 0
0.55000000 1 12.29058515
3
0.51280306 2 7.19017017 -2.86301073
3.69613096
0.57711505 2 4.76094580 -3.67332496
4.34633671
0.32379979 2 -11.01268700 6.42159202
-7.28140093
```
The input file I used to generate this is is listed at the end of this message.
Can the devs, especially Prof. Hutter, comment on whether this is a real issue? If it is, then I hope it can be updated in the repo.
&GLOBAL
PROGRAM_NAME ATOM
&END GLOBAL
&ATOM
ELEMENT Tl
RUN_TYPE PSEUDOPOTENTIAL_OPTIMIZATION
ELECTRON_CONFIGURATION [Xe] 6s2 5d10 6p1
CORE [Xe]
! MAX_ANGULAR_MOMENTUM 2
COULOMB_INTEGRALS ANALYTIC
EXCHANGE_INTEGRALS ANALYTIC
&METHOD
METHOD_TYPE KOHN-SHAM
RELATIVISTIC DKH(3)
&XC
&XC_FUNCTIONAL PBE
&END XC_FUNCTIONAL
&END XC
&END METHOD
&OPTIMIZATION
EPS_SCF 5e-9
max_iter 1000
damping .2
n_diis 15
&END OPTIMIZATION
&PRINT
&BASIS_SET
&END
&END
&AE_BASIS
BASIS_TYPE GEOMETRICAL_GTO
&END AE_BASIS
&PP_BASIS
BASIS_TYPE GEOMETRICAL_GTO
&END PP_BASIS
&POTENTIAL
PSEUDO_TYPE GTH
POTENTIAL_FILE_NAME POTENTIAL
POTENTIAL_NAME GTH-PBE-q13
&END POTENTIAL
&POWELL
ACCURACY 1.e-10
STEP_SIZE 0.5
WEIGHT_PSIR0 0.1
&END POWELL
&END ATOM