Table 2 Occupations of d orbitals computed with the DFT and DFT+U approaches, with the atomic orbitals as projectors, and with the DFT+U(WF) approach that uses a Wannier functions-based representation as projectors of the d orbitals

From: Low-spin state of Fe in Fe-doped NiOOH electrocatalysts

 

β-Ni(OH)2

β-NiOOH

Fe-doped β-NiOOH

 

Ni2+

Ni3+

\({{{{{{{{\rm{Fe}}}}}}}}}_{{{{{{{{\rm{HS}}}}}}}}}^{3+}\)

\({{{{{{{{\rm{Fe}}}}}}}}}_{{{{{{{{\rm{LS}}}}}}}}}^{3+}\)

DFT

8.4

8.6

6.3

7.0

DFT+U

8.4

8.5

6.2

6.6

DFT+U(WF)

8.0

6.9

4.8

5.0

Expected

8.0

7.0

5.0

5.0