[Wien] Limit of RmtKmax

Peter Blaha pblaha at theochem.tuwien.ac.at
Thu Jul 27 13:59:32 CEST 2017


The value of the fermi energy is not a "proper" quantity in a 
calculation of an infinite solid. It depends on the zero of energy, and 
this is set to the mean interstitial potential. These changes are 
unusual, but a priory no reason to worry.

You can see this shift of the energy-zero by looking at some core 
eigenvalues:

grepline ':1s 001' '*scf' 1     will show you the same variations as EF.

PS: Linear dependency would either lead to a crash or at least a 
significant change of total energy.

PPS: It is very valuable that you test for convergence. But you must 
test these quantities which you want to publish. EF is not the right one.

------------------------

However, I would worry about the accuracy of your calculations in 
general. You are using RMT values of 2.8 bohr (much larger than the 
setrmt limit of 2.5 - which is already a compromise).

Large spheres are of course possible, but then you have to make sure 
that all expansions are converged:

grep :FIT case.scf   shows a value of  0.1E-01, indicating that the 
nonspherical potential at large R is very large.

This requires a couple of changes in the default inputs:

LNSmax in case.in1 must be increased from 4 to 6 or even 8 (most severe 
!! changes E-tot by several mRy)

The LM list (case.in2) should be enlarged. Adding the L=8 terms (see UG) 
reduces :FIT by an order of magnitude.

Y-d states may have a linearization error. Add a HDLO for them.

Also: When varying RKMAX in such a large range, GMAX (in2) and the 
IFFT-parameters (in0) may also have to be increased.



On 07/26/2017 06:47 PM, Arena Konta wrote:
> Dear Wien2k Users,
>
> How to check if my calculations are beyond "approximate numerical linear dependency"? The below calculations were converged with the criterion -ec 0.000001 and -cc 0.000001 on a fine mesh k-point to determine a good Fermi level energy accuracy (simple mettalic 3D compound cointaining Y and Al elements). No warning in scf file is appeared. From RKmax>=10 onwards the change in energy differences is smaller than 0.0002 Ry, hovewer I have problems with convergation the value of the Fermi Energy. What should I do to obtain better accuracy of EF?
>
>  limit due to "approximate numerical linear dependency"
>
> 7
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.78396516
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    2 spin 2)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.4453031967
>
>
> 7.5
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.79802481
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    2 spin 1)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.4533274885
>
> 8.0
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.80529502
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.4605712711
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    2 spin 2)       0.000001
>
> 8.5
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.80900587
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    2 spin 2)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.4674101982
>
>
> 9.0
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81083697
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    2 spin 2)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.4741770929
>
> 9.5
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81174098
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    2 spin 2)       0.000002
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.4805577469
>
> 10
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81217067
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    1 spin 1)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.4863678502
>
> 10.5
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81237951
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    1 spin 1)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.4918538304
>
> 11
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81247632
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    1 spin 2)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.4970660550
>
> 11.5
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81252520
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    1 spin 2)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.5020619935
>
> 12
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81255122
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    1 spin 1)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.5069889516
>
> 12.5
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81257047
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    1 spin 1)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.5113533412
>
> 13.00
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81257716
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    1 spin 2)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.5141763509
>
> 13.5
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81258348
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    1 spin 2)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.5142562275
>
> 14
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81258360
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    1 spin 2)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.5122039226
>
> 14.5
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81258849
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    1 spin 2)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.5094474844
>
> 15
> :ENE  : ********** TOTAL ENERGY IN Ry =       -49933.81258989
> :DIS  :  CHARGE DISTANCE       (  0.000000 for atom    1 spin 2)       0.000001
> :FER  : F E R M I - ENERGY(TETRAH.M.)=   0.5065405179
>
>
> Thank you
>
> Arena
>
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-- 

                                       P.Blaha
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Peter BLAHA, Inst.f. Materials Chemistry, TU Vienna, A-1060 Vienna
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Email: blaha at theochem.tuwien.ac.at    WIEN2k: http://www.wien2k.at
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