EXACT RESULTS OF A SOLVABLE GENERAL SPIN-1 MODEL

We have introduced a type of universal transformation between spin var iables s(i) and sigma(i) to map the general spin-1 model onto the spin -1/2 ising model and have employed the exact results of the latter to find the exactly solvable cases of the spin-1 model. Our transformatio ns are not one-to-one correspondences between s(i) and sigma(i) and th ey are applicable to all lattices, depending on the lattice structure only through the coordination number. On square, triangle, and honeyco mb lattices the exact critical points are shown in certain subspaces o f parameter space (K, J, L, H, and DELTA).