  Chains of extended jordanian twists are studied for the universal enveloping
algebras U(so(M)). The carrier subalgebra of a canonical chain F cannot cover
the maximal nilpotent subalgebra N(so(M)). We demonstrate that there exist
other types of Frobenius subalgebras in so(M) that can be large enough to
include N(so(M)). The problem is that the canonical chains F do not preserve
the primitivity on these new carrier spaces. We show that this difficulty can
be overcome and the primitivity can be restored if one changes the basis and
passes to the deformed carrier spaces. Finally the twisting elements for the
new Frobenius subalgebras are explicitly constructed. This gives rise to a new
family of universal R-matrices for orthogonal algebras. For a special case of g
= so(5) and its defining representation we present the corresponding matrix
solution of the Yang-Baxter equation.
