A set of rare-earth (RE) noncentrosymmetric (NCS) binary and ternary oxides has been compiled in tables including
nonlinear optical (NLO) properties, structure and shortest chemical bond lengths, L(E-O) <200 pm < L(M-O). The field
of such crystals has been defined on the plane of L(E,M-O) bond lengths as a rosette of two ellipses of << acentricity >>. The
areas are specified for creation of laser active RE-elements and compared for different combination of such elements as
La3+-Nd3+, Y3+-Nd3+, Y3+-Yb3+, where La3+, Y3+-contained oxides are laser matrix, and Nd3+, Yb3+ are suitable active
constituents of self activated (SA) and self frequency doubling solid state lasers (SFD-SSL). It is note that crystals with
cubic structure, and crystals are positioned out the << acentricity >> rosette are not useful for creation of the SFD-SSL.