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The symmetry operator $Q=Y^2$ is introduced to re-describe the Heisenbergspin triangles in the \{V6\} molecule, where $\mathbf{Y}$ stands for theYangian operator which can be viewed as special form of Dzyaloshiky-Moriya (DM)interaction for spin 1/2 systems. Suppose a parallelogram Heisenberg model thatis comprised of four 1/2-spins commutes with $Q$, which means that it possessesYangian symmetry, we show that the ground state of the Hamiltonian $H_4$ forthe model allows to take the total spin S=1 by choosing some suitable exchangeconstants in $H_4$. In analogy to the molecular \{V6\} where the two trianglesinteract through Yangian operator we then give the magnetization for thetheoretical molecule "\{V8\}" model which is comprised of two parallelograms.Following the example of molecule \{V15\}, we give another theoretical moleculemodel regarding the four 1/2-spins system with total spin S=1 and predict thelocal moments to be 1/10u_B, 9/10u_B, 1/10u_B,9/10u_B respectively.

Yangian symmetry in molecule {V6} and four-spin Heisenberg model