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In the present letter, we study the spin-dependent electron transport in a 1,4-2-phenyl-dithiolate molecule using the Hückel method and equilibrium Green's function formalism. The effect of the contacts on spin transport is taken into account. It is shown that spin inversion can occur in the presence of the Rashba spin-orbit interaction. The necessary conditions for complete spin inversion are obtained by using contour maps. This study can provide a new route to design molecular spintronic devices.


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