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We study in this paper bond distortion effect on electric polarization inspiral multiferroic magnets based on cluster and chain models. The bonddistortion break inversion symmetry and modify the $d$-$p$ hybridization.Consequently, it will affect electric polarization which can be divided intospin-current part and lattice-mediated part. The spin-current polarization canbe written in terms of $\vec{e}_{i,j}\times(\vec{e}_{i}\times\vec{e}_{j}) $ andthe lattice-mediated polarization exists only when the M-O-M bond is distorted.The electric polarization for three-atom M-O-M and four-atom M-O$_{2}$-Mclusters is calculated. We also study possible electric ordering in three kindsof chains made of different clusters. We apply our theory to multiferroicscuprates and find that the results are in agreement with experimentalobservations.

Bond distortion effects and electric orders in spiral multiferroic magnets