Table: Shape Functions for Hydrogen
Shape Functions for Hydrogen
series $\xi$ $f \left( {\mathrm{ñ}} \right)$ slope intercept
$1{\mathrm{S}} - {\mathit{X}}{\mathrm{S}}$ 4 ${\mathrm{ñ}} ^{3}$ $k_{m}$(4) $k_{b}$(4)
$1{\mathrm{S}} - {\mathit{X}}{\mathrm{D}}_{5/2}$ -4 ${\mathrm{ñ}} ^{3}$ $k_{m}$(-4) $k_{b}$(-4)
$2{\mathrm{S}} - {\mathit{X}}{\mathrm{S}}$ 0 ${\mathrm{ñ}} ^{3}$ $k_{m}$(0) $k_{b}$(0)
$2{\mathrm{S}} - {\mathit{X}}{\mathrm{P}}_{1/2}$ -5 ${\mathrm{ñ}} ^{*}$ $k_{m}$(-5) $k_{b}$(-5)
$2{\mathrm{S}} - {\mathit{X}}{\mathrm{D}}_{5/2}$ -8 ${\mathrm{ñ}} ^{3}$ $k_{m}$(-8) $k_{b}$(-8)
${\mathit{X}}{\mathrm{P}}_{1/2} - {\mathit{X}}{\mathrm{S}}$ 5 ${\mathrm{ñ}} ^{-3}$ $k_{m}$(5) $k_{b}$(5)
${\mathit{X}}{\mathrm{P}}_{1/2} - {\mathit{X}}{\mathrm{P}}_{3/2}$ 3 ${\mathrm{ñ}} ^{-3}$ $k_{m}$(3) $k_{b}$(3)
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