The systematic optimization of single crystal fluoride conducting solid electrolytes R 1 -y Ca y F 3 -y with a tysonite type structure (LaF 3 ) with respect to the conductivity at room temperature, σ(293 K), is based on high temperature measurements of σ(T) of stoichiometric fluorides of rare earth elements, RF 3 (R = La-Nd), in dependence of the radius R 3+ ( ); two component stoichiometric La 1 -y R y F 3 phases (R = Pr, Nd) in dependence on the average cation radius (r cat ); and two component nonstoichiometric phases R 1 -y Ca y F 3 -y (R = La-Lu, Y) in dependence of the CaF 2 content. The optimization of the compo sition with respect to thermal stability is based on studying the phase diagrams of CaF 2 -RF 3 systems and the behavior of R 1 -y Ca y F 3 -y crystals upon heating when measuring temperature dependences σ(T). Single crystal samples of a number of investigated R 1 -y Ca y F 3 -y compounds has σ(293 K) values high enough to be applied in solid state electrochemical devices operating at room temperature (chemical sensors, fluorine ion batteries, and accumulators) and in devices subjected to thermal cycling.