[Wien] p1/2 relativistic local orbitals: 6 per atom?
georg at chem.au.dk
georg at chem.au.dk
Thu Nov 10 14:24:38 CET 2005
the name p1/2 orbitals just refers to the radial function. For the angular part
they are added using the "non-relativistic" spherical harmonics. Thus there are
three p's pr atom pr spin - totally 12
best wishes Georg
Quoting Eeuwe Sieds Zijlstra <zijlstra at physik.uni-kassel.de>:
> Dear all,
>
> While playing with the electronic structure of bismuth I noticed something
> that I do not understand.
>
> For Bi LAPW1 gives me 47 eigenvalues at the Gamma point up to Emax = 2.6 Ry.
> Correspondingly the "MATRIX SIZE=" 94 in LAPWSO (47 for spin up and 47 for
> spin down). When I add relativistic p1/2 local orbitals the matrix size in
> LAPWSO becomes 106. There are two atoms per unit cell, so 6 orbitals are
> added per Bi atom. But there are only two j=1/2 states, namely, mj = 1/2 and
>
> mj = -1/2. I checked that LAPW1 still gives 47 eigenstates up to Emax.
> So, my question is:
>
> Are p3/2 orbitals also added or is there another technicality that explains
> this?
>
> Any help would be much appreciated!
>
> Sincerely,
>
> Eeuwe Sieds Zijlstra
>
> Theoretische Physik
> FB 18, Universitaet Kassel
> Heinrich-Plett-Str. 40
> 34132 Kassel
> Germany
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>
--
Georg Madsen
Department of Chemistry
Aarhus University
DK-8000 Århus C
Denmark
tlf (+45) 89423885
http://www.chem.au.dk/~webuorg/gm.html
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