The strong corrugation of the V4O5 layer in the spin gap system CaV4O9
is examined for its impact on the exchange coupling constants between
the spin-1/2 V ions. Local spin density calculations show that the V
spin occupies a d(x2-y2) orbital ((x) over cap and (y) over cap are th
e V-V directions) that would have vanishing second order exchange coup
ling if the V4O5 layer were flat. The Kanamori-Goodenough superexchang
e rules, and the small calculated energy difference of ferromagnetic a
nd antiferromagnetic alignments of spins for the real structure, indic
ate that second neighbor couplings dominate over nearest neighbor. Thi
s suggests two coupled S = 1/2 metaplaquette systems, each tending tow
ard singlet formation.