FliG, FliM, and FliN, key proteins for torque generation, are located in two rings. The first protein is in the M ring and the last two are in the C ring. The rotational symmetries of the C and M rings have been determined to be about 34 (this paper) and 26 (previous work), respectively. The mechanism proposed here depends on the symmetry mismatch between the rings: the C ring extends 34 levers, of which 26 can bind to the 26 equivalent sites on the M ring. The remaining 8 levers bind to proton-pore complexes (studs) to form 8 torque generators. Movement results from the swapping of stud-bound levers with M ring-bound levers. The model predicts that both the M and C rings rotate in the same direction but at different speeds.The bacterial flagellum [reviewed by Namba and Vorderviszt (1)], the organ of motility in Salmonella typhimurium and many other species of prokaryotes, is powered by a reversible rotary motor. The motor is embedded in the cell envelope, possesses up to eight torque-generating units (2, 3), and is powered by a H ϩ gradient across the cytoplasmic membrane (4, 5). Each revolution consumes Ϸ1,000 H ϩ (6) and requires Ϸ400 steps (7). Initial observations (8, 9) of the cell-proximal end of the flagellum, the site of the motor, revealed an assembly, known as the basal-body complex, composed of several rings surrounding an axial structure. This axial structure extends from the cell to form the flagellar propeller, also known as the filament. Initially, there were four rings in basal-body complexes extracted from S. typhimurium. The L and P rings are associated with the lipopolysaccharide and peptidoglycan layers of the outer membrane, respectively, and are thought to serve as bushings. Two proteins (FlgH and FlgI) make up this structure (10). The S ring sits in the periplasm next to the inner membrane. The M ring crosses the cytoplasmic membrane and serves to transfer torque from the motor to the axial structures on the outside of the cell. A single protein, FliF, gives rise to both the M and S rings (11). Quantitative gel electrophoresis and autoradiography based on 35 Sradiolabeling of basal-body complex proteins (12) and scanning transmission electron microscopy mass measurements of purified basal-body complexes (13) reveal that there are 26 (Ϯ Ϸ2) copies of each of the proteins comprising the L, P, and MS rings. FliG, a protein important in torque generation, binds to FliF, producing a thickened M ring (14, 15). Throughout this paper, when we refer to the M ring, we mean this extended structure of FliG bound to FliF.More recently, a fifth ring has been revealed in preparations of basal-body complexes extracted with less harsh isolation procedures (15-17). This ring is referred to as the C (cytoplasmic) ring and minimally appears to contain FliM and FliN (15) (21) suggest that the stoichiometry of FliN/FliM is more than 1:1. Given the errors in the estimates, the number of subunits of FliM, and hence the rotational symmetry of the C ring, are uncertain.In the membrane surrounding the moto...