A rod- and tessellation-based comparative analysis of polymorphic and structurally-invariant molecular crystals: application to sulfa­thia­zole and 2-benzyl-5-benzyl­idene­cyclo­pentano­nes

A rationalization of the alternative crystal structures adopted by a given molecular compound or by a set of substitutionally related molecular compounds is provided by reference to the five known polymorphs of sulfa­thia­zole and 16 substituted 2-benzyl-5-benzyl­idene cyclo­pentano­nes (BBCPs), respectively. Two-dimensional (2D) packing fractions (φ_2D) take space-group symmetry into account, with a clear demarcation of closed-packed zones (CPZ) and molecular junction zones (JZ) in all Z′ = 1 structures. Representation of the molecules as two linked rods allows a concise treatment of conformation and rapid visualization of crystal packing. Combined with calculations of intermolecular potential energies, the rod method provides insight into the stabilization mechanisms of alternative polymorphs. In sulfa­thia­zole, the primary factor is to obtain satisfactory hydrogen bonding, with close packing a secondary consideration. In BBCP derivatives, by comparison, close packing is the primary mechanism of stabilization. Whereas the 2D structures arising in CPZ can be analysed as tessellations of molecular-based cells, a method based on 2D Dirichlet cells is required for the JZ. These are calculated from the centroids of the molecular envelopes in high-symmetry planes. It is shown that these centroid coordinates, when combined with space-group symmetry and unit cell coordinates, provide a concise parameterization of all structures containing JZ. It is anticipated that this parameterization may be exploited to predict such crystal structures from powder diffraction data.