We describe new components of the Gieseker-Maruyama moduli scheme M(n) of semistable rank 2 sheaves E on P-3 with c(1)(E) = 0, c(2)(E) = n and c(3)(E) = 0 whose generic point corresponds to nonlocally free sheaves. We show that such components grow in number as n grows, and discuss how they intersect the instanton component. As an application, we prove that M(2) is connected, and identify a connected subscheme of M(3) consisting of seven irreducible components. Ver menos