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The spirograph is a versatile tool for visualizing the relationship between geometry and mathematical representation. In particular, it demonstrates how polar coordinates offer an alternative framework for describing curves in comparison to Cartesian coordinates. Instead of specifying a point by its horizontal and vertical displacements (x, y), polar coordinates use a radius r, the distance from the origin, and an angle θ, measured counterclockwise from the polar axis. This system is...
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Cyclohexane does not exist in a planar form due to the high angle and torsional strain it would experience in the planar structure. Instead, it adopts non-planar chair and boat conformations.
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The chair conformation is the most stable form of cyclohexane due to the absence of angle and torsional strain. The absence of angle strain is a result of cyclohexane’s bond angle being very close to the ideal tetrahedral bond angle of 109.5° in its chair conformer. Similarly, the torsional strain is also absent owing to the perfectly staggered arrangement of bonds.
The hydrogen atoms linked to carbons are arranged in two different axial and equatorial orientations to achieve this staggered...

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CALPUCK: An Open Python Tool for Cremer-Pople Ring Puckering Analysis Including a New 2D Mapping of Seven-Membered

Filippo Protti1, Lucio Toma1, Giuseppe Zanoni1

  • 1Department of Chemistry, University of Pavia, Pavia, Italy.

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Summary
This summary is machine-generated.

This study introduces a free Python tool for analyzing ring conformations. It quantifies ring puckering parameters and visualizes molecular shapes, aiding chemists in understanding complex cyclic structures.

Keywords:
7‐membered ringscodeconformerscyclespuckering

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Area of Science:

  • Organic Chemistry
  • Computational Chemistry
  • Molecular Modeling

Background:

  • Ring puckering is crucial for the structure and reactivity of cyclic molecules.
  • Analyzing ring conformations, especially for larger rings, can be complex.
  • Existing methods may lack accessibility or comprehensive support for various ring sizes.

Purpose of the Study:

  • To develop an accessible, open-source Python tool for quantitative ring puckering analysis.
  • To provide intuitive visualizations of ring conformational landscapes.
  • To facilitate the study of five-, six-, and seven-membered rings.

Main Methods:

  • Implementation of Cremer-Pople puckering parameters calculation.
  • Utilizing vectorized projections onto sinusoidal basis functions.
  • Developing interactive selection of ring atoms and specialized handling for different ring sizes.

Main Results:

  • A free, open-source Python tool for computing puckering parameters from .xyz coordinates.
  • Generation of 2D visualizations of puckering amplitude and phase.
  • Successful mapping of various conformational landscapes (e.g., chair, boat) and pseudorotation.

Conclusions:

  • The tool offers a practical and accessible method for analyzing and visualizing ring conformations.
  • It aids in rapid classification of conformers and interpretation of molecular dynamics.
  • Explicit support for seven-membered rings addresses a gap in current computational tools.