scholarly journals MECHANISMS OF TRANSMISSION OF THE SPIN-SPIN INTERACTION OF CARBON-CARBON IN A SERIES OF BICYCLOBUTANE DERIVATIVES

Author(s):  
Elena Chirkina ◽  
Leonid Krivdin

Within the framework of the self-consistent theory of finite perturbations SCPT INDO, the calculation of the spin-spin interaction constants 13C-13C with preliminary optimization of geometric parameters in 17 bicyclo derivatives is carried out[1.1.0.] of Bhutan. There is a good correspondence of the calculated constants with the experimental values known in the literature and measured in this work. Based on the results of the calculations performed, the study of hybridization effects in the considered series of compounds was carried out. All bicyclobutane derivatives are characterized by an abnormally low s-character of endocyclic hybrid orbitals forming a bond between bridging carbon atoms. Substitution effects have a weak effect on the s-order of the bridge connection. The presence of an unsaturated alcohol structure in the 2-position of the bicyclo-butane fragment leads to a sharp decrease in the s-character of the endocyclic hybrid orbitals of the bridged carbon atoms.

Author(s):  
Elena Chirkina ◽  
Leonid Krivdin

Within the framework of the self-consistent theory of finite perturbations SCPT INDO, the calculation of the spin-spin interaction constants 13C-13C with preliminary optimization of geometric parameters in 16 bicyclo derivatives is carried out[2.1.0] pentane and 11 bicyclo derivatives[2.2.0]hexane. According to the results of the calculations, the bridge connection in the studied series of compounds is characterized by an unusually low s-character of hybrid orbitals, amounting to 4.8-8.8 % in bicyclo derivatives[2.1.0] pentane and 11.3-12.9 % in bicyclo derivatives[2.2.0]hexane, which corresponds to the orbital hybridization from sp10. 30 to sp19. 92 in bicyclo[2.1.0]pentanes and from sp6. 76 to sp7. 89 in bicyclo[2.2.0]hexanes. The spin-spin interaction constants between bridged and non-bridged, or between two non-bridged carbon atoms in the studied series of compounds correlate with the corresponding spin-spin interaction constants 13C-13C in isostructured cyclopropanes and cyclobutanes, which indicates close hybridization


2014 ◽  
Vol 29 (02) ◽  
pp. 1450008 ◽  
Author(s):  
B. C. CHANYAL ◽  
P. S. BISHT ◽  
O. P. S. NEGI

In order to understand the self-consistent theory of dyons, we have undertaken the study of octonion analysis of generalized Dirac–Maxwell's (GDM) equations of dyons in isotropic medium and chiral medium. Consequently, we have developed the octonion forms of potential, field and current equation of dyons in simple and compact manner in homogeneous or isotropic medium. It is emphasized that the corresponding quantum equations are invariant under Lorentz and duality transformations. Furthermore, the generalized electrodynamics of dyons in chiral medium has also been discussed in terms of simple, compact and consistent octonion analysis. It is shown that in the absence of chiral parameter the theory of dyons reduces to that for homogeneous (isotropic) medium. The generalized theory of dyons in chiral medium thus reproduces the field equation of moving charge particle-like electron (monopole) in the absence of monopole (electron) in vacuum if we consider neither chiral nor isotropic medium parameters therein.


1984 ◽  
Vol 106 (4) ◽  
pp. 290-294 ◽  
Author(s):  
T. H. Lin

In 1971, Lin showed a physical theory of plasticity which seems to represent the actual mechanism of plasticity better than other theories. Since then, much work has been done to improve this theory and to extend this theory to creep. This improved and extended theory is reviewed and given here. Some differences between the present theory and the self consistent theory are discussed. Present theory satisfies the conditions of equilibrium, continuity of displacement and the dependency of slip on the resolved shear stress throughout the polycrystal. The calculated results agree well with most experiments.


2018 ◽  
Vol 182 ◽  
pp. 02109
Author(s):  
E. E. Saperstein ◽  
S. Kamerdzhiev ◽  
D. S. Krepish ◽  
S. V. Tolokonnikov ◽  
D. Voitenkov

Recent results of the description of quadrupole moments of odd semi-magic nuclei are briefly reviewed. They are based on the self-consistent theory of finite Fermi systems with account for the phonon-particle coupling (PC) effects. The self-consistent model for describing the PC effects was developed previously for magnetic moments. Account for the non-pole diagrams is an important ingredient of this model. In addition to previously reported results for the odd In and Sb isotopes, which are the proton-odd neighbors of even tin nuclei, we present new results for odd Bi isotopes, the odd neighbors of even lead isotopes. In general, account for the PC corrections makes the agreement with the experimental data significantly better.


2012 ◽  
Vol 48 (5) ◽  
Author(s):  
S. V. Tolokonnikov ◽  
S. Kamerdzhiev ◽  
S. Krewald ◽  
E. E. Saperstein ◽  
D. Voitenkov

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