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March 2, 2026Science Journal of ChemistryOpen Access

Conic Projection as Manifold and 3-Sphere Dihedral Angles θsubHnHn+1/subDeg Under Homotopy

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Authors

CMCarmen-Irena MitanEBEmerich BarthaPFPetru Filip

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Overview

Analysis uncovers relationships between dihedral angles and tetrahedral angles in molecular geometry, indicating new calculation methods.

Key Points

  • The research aims to calculate dihedral angles and explore their relationship with tetrahedral angles using conic projections and homotopy.
  • Calculated dihedral angles from differences between carbon atom data
  • Utilized 3-Sphere approach for angle calculations
  • Employed Hopf fibration and Lie algebra for mathematical modeling
  • Examined NMR data behavior and coupling constants for angle relationships
  • Defined relationships between dihedral and tetrahedral angles
  • Identified the role of homotopy in angle calculations
  • Proposed new sets for constructing units affecting angle measurement
  • Demonstrated variances in angle calculations compared to traditional methods

Cite This Study

Mitan et al. (2026) studied this question.

synapsesocial.com/papers/69a52df3f1e85e5c73bf132dhttps://doi.org/10.11648/j.sjc.20261401.12
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