Figure 2
Stereographic projection of the pyranose pseudorotational itinerary (northern hemisphere only) with ring-puckering coordinates for (I)–(IV). Ring-puckering parameters φ and θ are represented by angular and radial displacements about the 4C1 origin (center point), respectively, and displacements are based on individual total puckering amplitudes, Q. In the inset, displacements are based on an average amplitude for the depicted data (Qavg = 0.5734). Inner and outer black rings represent the minimal and maximal Q values for the total data set; colored rings correspond to Q values for the Gal and Glc rings of (II) and (IIC) as per the color code shown below the graphic. The southern hemisphere (not shown) relates via symmetry to the northern with 1C4 at the origin. Note: (a) ring at the nonreducing end of (III) is Glc not Gal. |