Chirality of Large Random Supramolecular Structures

The structural chirality of large, random supramolecular structures, spiral diffusion-limited aggregates, is analyzed and studied in detail by using a continuous chirality measure. It is found that classical definitions and terminologies of chirality are too restrictive for the description of such complex objects. A refined methodology and a conceptual vocabulary are developed, along with a generalized definition of chirality. Their application is demonstrated in detail on these large structures. The classical definition of chirality, tailored for small, nonrandom species, is a limiting case of the generalized viewpoint we propose.

[1]  I. Mogi,et al.  Dense Radial Growth of Silver Metal Leaves in a High Magnetic Field , 1991 .

[2]  R. Nolte,et al.  Helical Configuration of Poly(Iminomethylenes) - Synthesis and Cd Spectra of Polymers Derived from Optically-Active Isocyanides , 1983 .

[3]  E. Ruch,et al.  Algebraic aspects of the chirality phenomenon in chemistry , 1972 .

[4]  A. Janner.  Decagrammal symmetry of decagonal Al78Mn22 quasicrystal , 1992 .

[5]  Paul G. Mezey,et al.  The degree of similarity of three-dimensional bodies: Application to molecular shape analysis , 1991 .

[6]  S. Kent,et al.  Total chemical synthesis of a D-enzyme: the enantiomers of HIV-1 protease show reciprocal chiral substrate specificity [corrected]. , 1992, Science.

[7]  Tamás Vicsek,et al.  Communication, Regulation and Control during Complex Patterning of Bacterial Colonies , 1994 .

[8]  K. Stine,et al.  Fluorescence Microscopy Study of Chiral Discrimination in Langmuir Monolayers of N-Acylvaline and N-Acylalanine Amphiphiles , 1994 .

[9]  David Avnir,et al.  The Fractal approach to heterogeneous chemistry : surfaces, colloids, polymers , 1989 .

[10]  Shmuel Peleg,et al.  Continuous symmetry measures , 1992 .

[11]  Shmuel Peleg,et al.  Continuous Symmetry Measures. 2. Symmetry Groups and the Tetrahedron , 1993 .

[12]  Przemyslaw Prusinkiewicz,et al.  The Algorithmic Beauty of Plants , 1990, The Virtual Laboratory.

[13]  D. Schwartz.  Instant patterns in thin films , 1993, Nature.

[14]  H. Mcconnell.  Structures and Transitions in Lipid Monolayers at the Air-Water Interface , 1991 .

[15]  D. Avnir,et al.  Continuous Symmetry Measures. 4. Chirality , 1995 .

[16]  E. BUCHAR.  Motion of the Nodal Line of the Second Russian Earth Satellite (1957β) and Flattening of the Earth , 1958, Nature.

[17]  Paul G. Mezey,et al.  Similarity analysis in two and three dimensions using lattice animals and polycubes , 1992 .

[18]  V. Prelog.  Chirality in chemistry. , 1976, Science.

[19]  B. A. Garetz,et al.  The configurational stereochemistry of atactic vinyl homopolymers , 1984 .

[20]  D. Kondepudi,et al.  Chiral Symmetry Breaking in Sodium Chlorate Crystallizaton , 1990, Science.

[21]  H. Ringsdorf,et al.  Monolayers of Chiral Imidazole Amphiphiles - Domain Formation and Metal Complexation , 1994 .

[22]  D. Avnir,et al.  Measuring symmetry in structural chemistry , 1995 .

[23]  K. Mislow,et al.  An Epistemological Note on Chirality , 1976 .

[24]  Günter Helmchen,et al.  Basic Principles of the CIP-System and Proposals for a Revision† , 1982 .

[25]  Symmetry and chaos , 1989 .

[26]  R. Weis,et al.  Two-dimensional chiral crystals of phospholipid , 1984, Nature.

[27]  E. Ben-Jacob,et al.  Interfacial Pattern Formation in Biological Systems: Preliminary Observations During Growth of Bacterial Colonies , 1993 .

[28]  R. A. Uphaus,et al.  Separation of chiral phases in monolayer crystals of racemic amphiphiles , 1993, Nature.

[29]  Which symmetry will an ideal quasicrystal admit , 1991 .