Static susceptibility of kappa-[(BEDT-TTF)1-x(BEDSe-TTF)x]2Cu[N(CN)2]Br alloys with the BEDSe-TTF content near the border-line of ambient pressure superconductivity (x~0.3) has been measured as a function of temperature, magnetic field, and pressure. A non-monotonic pressure dependence is observed for both the superconducting critical temperature and superconducting volume fraction, with both quantities showing growth under pressure in the initial pressure range P < 0.3 kbar. The results are discussed in comparison with the data on the related kappa-phase BEDT-TTF superconductors in which not a cation but anion sublattice is modified by alloying, namely the family kappa-(BEDT-TTF)2Cu[N(CN)2]Cl1-xBrx. PACS numbers: 74.62.Fj, 74.70.Kn.
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