1996
DOI: 10.1073/pnas.93.25.14260
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Symmetry arguments in chemistry

Abstract: The use (and misuse) of symmetry arguments in constructing molecular models and in the interpretation of experimental observations bearing on molecular structure (spectroscopy, diffraction, etc.) is discussed. Examples include the development of point groups and space groups for describing the external and internal symmetry of crystals, the derivation of molecular symmetry by counting isomers (the benzene structure), molecular chirality, the connection between macroscopic and molecular chirality, pseudorotatio… Show more

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Cited by 37 publications
(35 citation statements)
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“…We also note that in the absence of a specific chiral bias, the net enantiomeric excess in the APED model, and in many models of chiral symmetry breaking, is random and may be attributable to amplification of stochastic fluctuations about the initial near-racemic state [17] due to environmental influences [27] which may or may not induce turbulence [8]. Therefore, as shown in Figure 4, isolated regions can develop opposite chirality.…”
Section: Discussionmentioning
confidence: 99%
“…We also note that in the absence of a specific chiral bias, the net enantiomeric excess in the APED model, and in many models of chiral symmetry breaking, is random and may be attributable to amplification of stochastic fluctuations about the initial near-racemic state [17] due to environmental influences [27] which may or may not induce turbulence [8]. Therefore, as shown in Figure 4, isolated regions can develop opposite chirality.…”
Section: Discussionmentioning
confidence: 99%
“…A much-debated question is whether the observed homochirality of biomolecules is a prerequisite for life's emergence or if it developed as its consequence [37,38]. Adding to the mystery, prebiotically relevant laboratory syntheses yield racemic mixtures [39]. This is especially surprising given that statistical fluctuations of reactants will invariably bias one enantiomer over the other [40]: every synthesis is ab initio asymmetric.…”
Section: Deciphering the Origin Of Life's Chiralitymentioning
confidence: 99%
“…With X‐ray crystallography, “structural chemistry” became the “study of the metrical aspects of atomic arrangements in molecules,” Jack's definition with Hans‐Beat Bürgi. Before the diffraction era, structural chemistry was grounded in qualitative symmetry arguments, the first of which followed from Pasteur's 1848 insight into the organization of atoms in tartrate salts. By separating enantiomorphous crystals of the sodium ammonium tartrate conglomerate and subsequently dissolving the subsets of crystals, Pasteur linked macroscopic chirality, the shapes of material objects, with microscopic chirality, required by the action of invisible molecules on plane‐polarized light ,.…”
Section: Pasteurmentioning
confidence: 99%