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A systematic study of the linear thermal instability of a self-gravitatingmagnetic molecular cloud is carried out for the case when the unperturbedbackground is subject to local expansion or contraction. We consider theambipolar diffusion, or ion-neutral friction on the perturbed states. In thisway, we obtain a non-dimensional characteristic equation that reduces to theprior characteristic equation in the non-gravitating stationary background. Byparametric manipulation of this characteristic equation, we conclude that thereare, not only oblate condensation forming solutions, but also prolate solutionsaccording to local expansion or contraction of the background. We obtain theconditions for existence of the Field lengths that thermal instability in themolecular clouds can occur. If these conditions establish, small-scalecondensations in the form of spherical, oblate, or prolate may be produced viathermal instability.Comment: 16 page, accepted by Ap&S

Formation of Small-Scale Condensations in the Molecular Clouds via Thermal Instability