Hydrogenic radial function
| [math]\displaystyle{ n }[/math] | [math]\displaystyle{ R(r) }[/math] |
|---|---|
| [math]\displaystyle{ 1 }[/math] | [math]\displaystyle{ 2\alpha^{3/2}\exp(-\alpha r) }[/math] |
| [math]\displaystyle{ 2 }[/math] | [math]\displaystyle{ \frac{1}{2\sqrt 2}\alpha^{3/2}(2-\alpha r)\exp(-\alpha r /2) }[/math] |
| [math]\displaystyle{ 3 }[/math] | [math]\displaystyle{ {\sqrt \frac{4}{27}}\alpha^{3/2}(1-2\alpha r/3+2\alpha^2 r^2/27)\exp(-\alpha r /3) }[/math] |