Abstract
Using a variational approach, the energy spectrum of the optical polaron in a uniaxial crystal with complex structure, placed in a weak dc magnetic field directed along the optical axis is obtained. In performing the minimization of the system energy, the mean of the $z$ component of the total angular momentum is considered as a constraint. The obtained expression of both the cyclotron mass and the effective mass of motion along the direction of the magnetic field are used to discuss the results of the cyclotron resonance experiment performed in the layered compound $\ensuremath{\alpha}\ensuremath{-}{\mathrm{HgI}}_{2}.$
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