[Wien] Query Regarding f-Orbital Density Matrix Representation in DFT+U Calculations
Peter Blaha
peter.blaha at tuwien.ac.at
Thu Jul 2 16:44:36 CEST 2026
The density matrices are given in the basis of complex spherical
harmonics, running from m=-l ... l
Am 02.07.2026 um 12:47 schrieb Roopam Pandey:
> Dear All,
>
> I am working on PrAlGe, which crystallizes in a body-centered tetragonal
> structure. I intend to perform DFT+U calculations to explore possible
> local and global energy minima by manipulating case.dmatup/dn files to
> initialize different occupations of the Pr 4f states.
>
> While I understand that, for f orbitals, these files contain a 7 × 7
> complex density matrix, I am unsure about the ordering of the basis
> functions. Specifically:
>
> 1. I would like to know whether the rows and columns correspond directly
> to the spherical harmonic basis |(l,m)>, i.e., ((3,-3), (3,-2), ...,
> (3,3)), or whether they are expressed in terms of real-spherical
> harmonic such as (f_{xyz}), (f_{z^3}), etc. If yes for real-
> sphercial harmonics, what will be the order of the f-orbitals?
>
> 2. Additionally, is there a way to have the code write the |case.dmatup/
> dn| files explicitly in the (Y_{lm}) (spherical harmonic) basis instead
> of the default representation?
>
> I would greatly appreciate any clarification or suggestions.
>
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> /Thanks & Regards//,/
> /Roopam Pandey/
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> /"A fool thinks himself to be wise, but a wise man knows himself to be a
> fool"/
>
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Peter Blaha, Inst. f. Materials Chemistry, TU Vienna, A-1060 Vienna
Email: peter.blaha at tuwien.ac.at
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