Toroidal shape of Rpn1 and Rpn2 monomers. (a) Nonaveraged AFM images of native Rpn1 and Rpn2 particles in solution. Horizontal sections are provided for the leftmost complexes, followed by a representative tilted enlargement, with a height bar (right). Multiparticle fields are shown in Supplementary Figure 3. (b) Statistical analysis of Rpn1 and Rpn2 based on height distribution shows each sample to contain a single population with an average height of 4.0 ± 0.9 nm and 2.5 ± 0.3 nm, respectively (see an example of the procedure in Supplementary Fig. 4). (c) Analytical ultracentrifugation sedimentation-equilibrium profile of Rpn1 (1.74 μM) or Rpn2 (1.95 μM) on a Beckman XL-A with an An50 Ti rotor at 16,000 r.p.m. Fitting the data to an ideal single-species model (Supplementary Methods) gives an experimental molecular weight of 109,524 ± 178 Da for Rpn1 and 104,129 ± 129 Da for Rpn2, corresponding within experimental error to the sequence-calculated monomeric weight (109,429 Da and 104,234 Da, respectively). Below, the residuals of the fit as a function of radial position.