  A new technique for searching low-dimensional compounds on the basis of
structural data is presented. The sign and strength of all magnetic couplings
at distances up to 12 A in five predicted new antiferromagnetic zigzag spin-1/2
chain compounds In2VO5, beta-Sr(VOAsO4)2, (NH4)2VOF4, K2VOF4 and alpha-ZnV3O8
were calculated. It was stated that in the compound In2VO5 zigzag spin chains
are frustrated, since the ratio (J2/J1) of competing antiferromagnetic (AF)
nearest- (J1) and AF next-to-nearest-neighbour (J2) couplings is equal to 1.68
that exceeds the Majumdar-Ghosh point by 1/2. In other compounds the zigzag
spin chains are AF magnetically ordered single chains as value of ratios J2/J1
is close to zero. The interchain couplings were analyzed in detail.
