The electrophoretic properties of a DNA cube and its substructure catenanes

Electrophoretic properties have been measured for a DNA molecule whose helix axes have the connectivity of a cube. This molecule is a topologically bonded complex of six cyclic 80‐mer molecules, in which each cycle corresponds to a face of the cube. Each cyclic molecule is doubly catenated to each of its four neighbors. Substructures of this molecule include a 5‐cycle structure lacking one strand, two topoisomers of 4‐cycle structures and two topoisomers of 3‐cycle structures. One 4‐cycle structure is a cyclic belt around the cube, lacking a top and a bottom, whereas the other lacks two catenated strands, such as the top and the front. One 3‐cycle structure is a linear belt of three cycles, and the other corresponds to the three cycles that surround a corner. Each of these molecules is separable from the others under appropriate gel conditions. We have measured mobilities and calculated Ferguson plots for each of these molecules on polyacrylamide gels under both native and denaturing conditions. The measurements have been made with 1.25, 2.5, and 5% crosslinking of the gels. The data show that the higher‐symmetry 3‐cycle and 4‐cycle structures migrate more slowly than their lower‐symmetry isomers, under conditions where their Ferguson plots are parallel.