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## Homework Statement

Calculate the Madelung constant for an octahedral arrangement of doubly charged anions about a doubly charged cation. Use r0 for the anion−cation distance. (Hint: Remember that the Madelung constant considers the sum of Coulomb interactions over all atom/ion pairs).

## Homework Equations

Possibly helpful Equations

E

_{A}=-(Mke

^{2})/r

_{0}

α=2M/((n

_{1}+n

_{2})|Z

_{1}Z

_{2}|)

E

_{A}=-(ke

^{2}α(n

_{1}+n

_{2}(|Z

_{1}Z

_{2})/2r

_{0}

## The Attempt at a Solution

So we have a theoretical bond pair X

^{+2}Y

^{-2}with a coordination number of 6.

I believe the next step should be to calculate E

_{A}, but I fail to see how to do that without α.