Let $U_\hbar\mathfrak{g}$ denote the Drinfeld-Jimbo quantum group associated

to a complex semisimple Lie algebra $\mathfrak{g}$. We apply a modification of

the $R$-matrix construction for quantum groups to the evaluation of the

universal $R$-matrix of $U_\hbar\mathfrak{g}$ on the tensor square of any of

its finite-dimensional representations. This produces a quantized enveloping

algebra $\mathrm{U_R}(\mathfrak{g})$ whose definition is given in terms of two

generating matrices satisfying variants of the well-known $RLL$ relations. We

prove that $\mathrm{U_R}(\mathfrak{g})$ is isomorphic to the tensor product of

the quantum double of the Borel subalgebra $U_\hbar\mathfrak{b}\subset

U_\hbar\mathfrak{g}$ and a quantized polynomial algebra encoded by the space of

$\mathfrak{g}$-invariants associated to the semiclassical limit $V$ of the

underlying finite-dimensional representation of $U_\hbar\mathfrak{g}$. Using

this description, we characterize $U_\hbar\mathfrak{g}$ and the quantum double

of $U_\hbar\mathfrak{b}$ as Hopf quotients of $\mathrm{U_R}(\mathfrak{g})$ and

as fixed-point subalgebras with respect to certain natural automorphisms. As an

additional corollary, we deduce that $\mathrm{U_R}(\mathfrak{g})$ is

quasitriangular precisely when the irreducible summands of $V$ are distinct.