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The form factor of a micelle model with a spherical core and Gaussian polymer chains attached to the surface has previously been calculated analytically by Pedersen and Gerstenberg [(1996). Macromolecules 29, 1363-1665.]. Non-penetration of the chains into the core region was mimicked in the analytical calculations by moving the center of mass of the chains Rg away from the surface of the core, where Rg is the radius of gyration of the chains. In the present work, the calculations have been extended to micelles with ellipsoidal and cylindrical cores. Non-penetration was also for these taken into account by moving the center of mass of the chains Rg away from the core surface. In addition results for worm-like micelles, disk-shape micelles and micelles with a vesicle shape are given.