  Nuclear fission produces fragments whose spins are coupled to the relative
angular motion via angular momentum conservation. It is shown how ensembles of
such spins can readily be obtained by either direct microcanonical sampling or
by sampling of the associated normal modes of rotation. The resulting
distribution of the spin-spin opening angle is illustrated in various three-
and two- dimensional scenarios and it is demonstrated how recent mutually
conflicting model calculations can be well reproduced with different
assumptions about the scission geometry.
