Table 1.

Hybridization energies of the $\mathit{\alpha }$th 5$f$ orbital with the $\mathit{\beta }$th $d$ orbital, where the energies are given in Rydbergs (Ry)

${\mathrm{\Delta }}_{\alpha }\left(R\right)$	Fe (Ry)	Ru (Ry)	Os (Ry)
${\mathrm{\Delta }}_{xyz}\left(R\right)$	0.081	0.034	0.097
${\mathrm{\Delta }}_{x\left(5x^2-3r^2\right)}\left(R\right)$	0.058	0.025	0.064
${\mathrm{\Delta }}_{y\left(5y^2-3r^2\right)}\left(R\right)$	0.050	0.021	0.055
${\mathrm{\Delta }}_{z\left(5z^2-3r^2\right)}\left(R\right)$	0.079	0.033	0.087
${\mathrm{\Delta }}_{x\left(y^2-z^2\right)}\left(R\right)$	0.039	0.018	0.047
${\mathrm{\Delta }}_{y\left(z^2-x^2\right)}\left(R\right)$	0.039	0.018	0.047
${\mathrm{\Delta }}_{z\left(x^2-y^2\right)}\left(R\right)$	0.067	0.028	0.084