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Linearization energies of APW

Anton
2008-04-24
2013-06-05
  • Anton

    Anton - 2008-04-24

    Hello to APW guru.
    I got a couple of questions about the linearization energies of APW orbitals:
    1. What is the magic number 0.15 for the choice of default apwe0 value? Why it's the same for all orbital quantum nubers?
    2. Why in the case of  apword=1 (default) the linearization energies remain fixed at the input value 0.15 even when I switch apwve to .true.

    Cheers,
    Anton.

     
    • ckoe

      ckoe - 2008-04-25

      Dear toxa81,

      I am not an APW Guru but as far as I understand it
      0.15 H is a guess for the Fermi level in a solid. Of
      course that is subject to be shifted with the potential
      if usual (L)APW convetions, e.g. interstitial potential
      is zero, are applied. But as far as I can see a good
      first guess. Of course it is then assumed that the
      "interesting" regin where linearization errors should
      be minimized is around the Fermi level.

      The WIEN2k web pages contain a remark that for iron additional
      local orbitals for the _conduction_ bands should be used in
      order to get smooth volume-versus-energy curves for the bulk.

      Please note that 0.15 H is only for the valence orbitals.
      The linearization energies for local orbitals representing
      the core electrons move in fact during calculation (depending
      on your system of course), I am not sure which quantum number
      you were refering to.

      For the species file you might be interested in
      http://exciting.wiki.sourceforge.net/SpeciesFileSyntax

      Best Regards

      Christof

       
      • Anton

        Anton - 2008-04-25

        Dear Christof!
        Thanks for the reply. Still I'm puzzled by the fact that the linearization energy is the same 0.15HA for (let's say) Hydrogen and Uranium and it is not adjusted during the SCF loop. BTW, if I introduce LAPW orbitals for the valence states by putting apword=2, then the linearization energies will vary if apwve is set to .true.

        Cheers,
        Anton.

         
    • ckoe

      ckoe - 2008-04-28

      Dear Anton,

      the linearization energies are a guess for the upper valence region/
      Fermi level in a solid if the mean interstitial potential is shifted
      to zero. The important part is here the shift in potential which will
      shift the absolute value of the eigenvalues. If I remember correctly
      somewhere in the literature (Andersen paper ?) there are estimates
      that the linearization energies are good (for some measure of good)
      for LAPWs around 1 H of the linearization energy ?

      Of course adjusting them should in principle lead to smaller
      linearization errors.

      For a "free" atom, e.g. an isolated atom in a hughe supercell, I am
      myselves not sure if the default linearization energies are good.

      Best Regards

      Christof

       
    • andrei

      andrei - 2008-04-29

      Dear Anton,

      I would add that from my (although not too extensive) experience the errors due to the not-quite-optimal linearization energies are indeed rather small. For example, adjusting them by 0.3Ha in silicon improves the total energy by only 0.1mHa/atom. By the way, there is a good primer on LAPW and optimizing the calculations at http://www.fys.kuleuven.ac.be/iks/nvsf/publications/DFT_and_LAPW.pdf

      andrei

       
      • Anton

        Anton - 2008-04-29

        Daer Andrei,
        thanks for the comment and a useful link.

        Anton.

         

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