VRijkl

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Revision as of 16:05, 27 March 2025 by Kaltakm (talk | contribs)

This file stores the off-centre Coulomb integrals

[math]\displaystyle{ V_{ijkl}^{\sigma\sigma'} = \int {\rm d}{\bf r}\int {\rm d}{\bf r}' \frac{ w_{i}^{*\sigma}({\bf r}) w_{j}^{\sigma}({\bf r}) w_{k}^{*\sigma'}({\bf r}+{\bf R}) w_{l}^{\sigma'}({\bf r}+{\bf R})}{|{\bf r}-{\bf r}'|} }[/math]

The format is as follows:

# V_ijkl = [ij,R|kl,0] 
#  I   J   K   L          RE(V_IJKL)          IM(V_IJKL)
# R:    1  0.000000  0.000000  0.000000
   1   1   1   1       14.4576272582        0.0000000000
   2   1   1   1        0.0000010313        0.0000031049
... 
# R:    2  0.000000  0.000000  1.000000
   1   1   1   1        4.6546536926        0.0000000000
   2   1   1   1        0.0617934919       -0.0000371600
 ...
Mind: Available as of VASP.6.5.2.