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Research Article |

Graph Flux Intensity and Electromagnetic Wave on 3-sphere Approach

3-Sphere characteristic angles (θnN with n = 1-6, and ϕnN with n = 1, 2, N = A, B, C, CA, CB) are calculated from NMR data, the differences in chemical shifts between two atoms of carbon ΔδCnCn+1 [ppm] and vicinal coupling constant 3JHnHn+1 [Hz], using I. Graph-flux intensity, Golden ratio of pentagon, II. radio wave, III. Homotopic approach, exploring electromagnetic field of five membered iminocyclitols 1-3. Fibonacci’s numbers calculated with Plank constant h and h-bar are compared and used for determination of the tetrahedral angles. Attempts to obtain the best equation for calculation the energy from carbon chemical shift: the square EP2 = (Δδxω)2xhxNA[Jx10-3xrad/sxmoli] and the cube of frequency EP3 = (Δδxω)3xhxNA[Jxrad/s2xmoli = WattxHzxrad/moli] are compared with Plank-Einstain equation EP1 = ΔδxωxhxNA[Jx10-6xrad/moli]. Continues transformation from torus to rectangle (f), and from rectangle to torus (f-1), is a homotopic process, able to used polyhedron number in rad or radieni (π). The wave character of NMR data shown interesting relationship between angles on 3-Sphere units approach. Bond distances lCnCn+1[A0] of five membered ring iminocyclitols 1, 2 are calculated from dihedral angles θHnHn+1[deg]. Methods for calculation of the vicinal coupling constant 3JHH [Hz] with 3-Sphere – Polar equation – Conic section - Lie algebra - Hopf fibration, are disclosed from the mathematic point of view and in far field from physics electromagnetic radiation point of view.

Graph Flux Intensity, Electromagnetic Wave, Vicinal Coupling Constant 3JHH [Hz], 3-Sphere, Hopf Fibration, Conic Section, Rectangle, Carnot’s Theorem, Homotopic

APA Style

Mitan, C., Bartha, E., Filip, P., Caproiu, M., Draghici, C., et al. (2023). Graph Flux Intensity and Electromagnetic Wave on 3-sphere Approach. Science Journal of Chemistry, 11(6), 212-225. https://doi.org/10.11648/j.sjc.20231106.12

ACS Style

Mitan, C.; Bartha, E.; Filip, P.; Caproiu, M.; Draghici, C., et al. Graph Flux Intensity and Electromagnetic Wave on 3-sphere Approach. Sci. J. Chem. 2023, 11(6), 212-225. doi: 10.11648/j.sjc.20231106.12

AMA Style

Mitan C, Bartha E, Filip P, Caproiu M, Draghici C, et al. Graph Flux Intensity and Electromagnetic Wave on 3-sphere Approach. Sci J Chem. 2023;11(6):212-225. doi: 10.11648/j.sjc.20231106.12

Copyright © 2023 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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