Relationship between tetrahedral and dihedral on hypersphere coordinates-Reference-Cited by-同舟云学术

Relationship between tetrahedral and dihedral on hypersphere coordinates

Published:2023-05-12 Issue:5-6 Volume:68 Page:261-268
ISSN:0035-3930
Container-title:Revue Roumaine de Chimie
language:
Short-container-title:Rev.Roum.Chim.

Author:

,MITAN Carmen-Irena,BARTHA Emerich, ,FILIP Petru,

Abstract

The wave character of the NMR data (chemical shift ΔδCn[ppm] – vicinal coupling constant 3JHH[Hz]) enable calculation the tandem dihedral-vicinal or tetrahedral-internal angles with 3-sphere approach. Golden ratio, invers of Fibonacci number, and manifold inversion torus to Dupin cyclide under 3-sphere units ensure the calculation of the tetrahedral angles of five membered ring in opposite with dihedral angles sin versus tan functions. The transformation from space/time to space under electric and magnetic rule gives dodecahedron and icosahedron values for calculation tetrahedral angles from polyhedron and hypersphere equations. Tetrahedral angles of five membered ring can be calculated from carbon chemical shift ΔδCn[ppm] with Java Script program and hypersphere equations.

Publisher

Romanian Academy - Revue Roumaine De Chimie

Reference15 articles.

1. "1. C.-I. Mitan, E. Bartha, C. Draghici, M. T. Caproiu and P. Filip, R. M. Moriarty, SciencePG, 2022, 10, 21, doi: 10.11648/j.sjc.20221001.13.

2. 2. B. O'Sullivan Quaternions, Spinars and the Hopf Fibration: Hidden Variables in classical Mechanics, arXiV:1601:02569v14, physics,gen-ph, 5 dec 2021; doi.org/10.48550/arXiv.1601.02569.

3. 3. M. Zamboj J. Comp. Design and Engineering, 2021, 8, 836; doi.org/10.1093/jcde/qwab018.

4. 4. E. Bartha, C.-I. Mitan, C. Draghici, M. T. Caproiu, P. Filip and R. M. Moriarty Rev. Roum. Chim, 2021, 66, 178-183; doi: 10.33224/rrch.2021.66.2.08 (Eng).

5. 5. C.-I. Mitan, E. Bartha, P. Filip, C. Draghici, M. T. Caproiu and R. M. Moriarty, ACS National Meeting in Chicago, IL, August 21-25, 2022, CARB 3717557, 23 august 2022, 37 pag; doi.org/10.1021/scimeetings.2c00876.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. 3-Sphere Tetrahedral Angles and Phase Angle of the Pseudorotation P[deg] of C<sub>1</sub>-CH<sub>3</sub>-α-D Ribitol Iminocyclitol;Science Journal of Chemistry;2024-06-19

2. Java Script Programs for Calculation of Dihedral Angles with Manifold Equations;Science Journal of Chemistry;2024-06-03