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Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

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Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
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Cycloheptatriene is a neutral monocyclic unsaturated hydrocarbon that consists of an odd number of carbon atoms and an intervening sp3 carbon in the ring. The three double bonds in the ring correspond to 6 π electrons, which is a Huckel number, and therefore satisfies the criteria of 4n + 2 π electrons. However, the intervening sp3 carbon disrupts the continuous overlap of p orbitals. As a result, cycloheptatriene is not aromatic.
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Puckering coordinates of monocyclic rings by triangular decomposition.

Anthony D Hill1, Peter J Reilly

  • 1Department of Chemical and Biological Engineering, 2114 Sweeney Hall, Iowa State University, Ames, Iowa 50011, USA.

Journal of Chemical Information and Modeling
|March 21, 2007
PubMed
Summary

A novel method simplifies describing ring puckering using N-3 parameters by measuring flap angles relative to a reference plane. This approach offers advantages for molecular simulations compared to existing systems.

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Area of Science:

  • Computational Chemistry
  • Chemical Physics
  • Structural Chemistry

Background:

  • Describing the three-dimensional conformation of cyclic molecules, known as puckering, is crucial in chemistry.
  • Existing methods for quantifying ring puckering often involve complex parameters.
  • Reduced parameter systems aim to simplify this description for computational efficiency.

Purpose of the Study:

  • To introduce a new, simplified coordinate system for quantifying the puckering of N-member monocyclic rings.
  • To demonstrate the effectiveness of this new system by comparing it with established methods.
  • To highlight the advantages of the proposed method in molecular simulations.

Main Methods:

  • Defining a reference plane using three atoms of the monocyclic ring.
  • Decomposing the remaining ring atoms into triangular flaps.
  • Measuring the angle of incidence for each flap relative to the reference plane.

Main Results:

  • The combination of flap incidence angles effectively characterizes the ring's pucker.
  • The new system demonstrates comparable descriptive power to existing reduced parameter systems.
  • The proposed method offers advantages for use in molecular simulations.

Conclusions:

  • The N-3 parameter system provides an effective and simplified description of ring puckering.
  • This method is a valuable tool for analyzing the conformational dynamics of cyclic molecules.
  • The advantages in molecular simulations suggest broader applicability in computational chemistry studies.