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Totally symmetric singlets for 2 or (2n$ _{ir}$ mathend000#-2) electrons

$\displaystyle n$ $\displaystyle = 2$ $\displaystyle \qquad a$ $\displaystyle = 0 \qquad b = -n_{ir}$    
$\displaystyle n$ $\displaystyle = (2n_{ir}-2)$ $\displaystyle \qquad a$ $\displaystyle = \frac{n_{ir}(n_{ir}-2)}{(n_{ir}-1)^2}$    
    $\displaystyle b$ $\displaystyle = \frac{n_{ir}(n_{ir}-3)}{(n_{ir}-1)^2}$    

This covers the $ ^1$ mathend000#S states of $ p^2$ mathend000#, $ p^4$ mathend000#, $ d^2$ mathend000#, $ d^8$ mathend000#, etc.


TURBOMOLE