the odd particle exclude the strictly adiabatic scenario. It is known that if the projection of the single-particle angular momentum on the symmetry axis of a nucleus $\Omega$ is conserved, the diabatic effect on the fission barrier can be huge, see e.g. [@Kisomers]. As there is no accepted formula for a barrier correction due to the non-adiabaticity, it is usually ignored, even in odd-$N$ and/or odd-$Z$ nuclei. A general idea is that at the excitation energies close to, and higher than the barrier, but still not inducing sizable dissipative corrections, the adiabatic barrier could be used for calculating fission rates.

Since calculations of potential energy surfaces (PES’s) for odd-$A$ and odd-odd nuclei involve a repetition of calculations for many low-lying quasiparticle states which multiplies the effort (especially in odd-odd systems), systematic studies of their fission barriers are rather scarce. Up to now, they were provided mainly by the Los Alamos microscopic-macroscopic (MM) model and recently by some self-consistent models [@Gorbar]. The current state of theoretical predictions in fission of even - even nuclei (with Z$\geq$ 100) has been discussed recently in [@nucl2015]. In the present paper we extend our MM model based on the deformed Woods-Saxon potential, which up to 