  A simply connected topological space X has homotopy Lie algebra $\pi_*(\Omega
X) \tensor \Q$. Following Quillen, there is a connected differential graded
free Lie algebra (dgL) called a Lie model, which determines the rational
homotopy type of X, and whose homology is isomorphic to the homotopy Lie
algebra. We show that such a Lie model can be replaced with one that has a
special property we call separated. The homology of a separated dgL has a
particular form which lends itself to calculations.
