We consider the magnetoresistance oscillation phenomena in the Bechgaard sa
lts (TMTSF)(2)X, where X = ClO4, PF6, and AsF6 in pulsed magnetic fields to
51 T. Of particular importance is the observation of a new magnetoresistan
ce oscillation for X = ClO4 in its quenched state. In the absence of any Fe
rmi-surface reconstruction due to anion order at low temperatures, all thre
e materials exhibit nonmonotonic temperature dependence of the oscillation
amplitude in the spin-density-wave (SDW) state. We discuss a model where, b
elow a characteristic temperature T* within the SDW state, a magnetic break
down gap opens. [S0163-1829(99)00904-2].