Isoclinics

Let us consider investigation of stresses in a 3-D specimen. It has been shown [1] that in the case of weak birefringence a 3-D specimen can be investigated in a conventional transmission polariscope as if it were a two dimensional specimen. On every ray of light it is possible to determine the parameter of the isoclinic and the optical path difference A. The latter are related to the components of the stress tensor on the ray by linear integral relationships... 

By a brilliant physical intuition B. van der Pol succeeded finally (1920) in establishing his equation (which is given in Section 6.11) but, not having any mathematical theory at his disposal, he determined the nature of Ike solution by the graphical method of isoclines. It became obvious that the problem, which was a real stumbling block for many years, had been finally solved, at least in principle. 

All the modifications of the a form would present, perpendicular to the b axis, macromolecular bilayers including all isoclined chains. A regular succession of bilayers with anticlined helices would correspond to the limiting ordered modification (a2), while a statistical succession of bilayers would correspond to the limiting disordered modification (a ) [40]. 

In the a modifications of i-PP, bilayers of macromolecules are stacked one on the top of the other in such a way that the top layer on one bilayer and the bottom layer of the bilayer in contact are made up of helices which are enantiomorphous. such helices are regularly anticlined for the ordered a2 modification, more or less at chance isoclined or anticlined for the disordered modifications. 

Tienor (Farmaka) Emolex (Nichiiko) Isocline (Sawai) Lieze (Yoshitomi)... 

The Tisdale rocks were deformed by two tectonic events that resulted in superposition of east-west isoclinal folds on older north-south open folds. Five camp- to regional-scale faults, including the Hollinger Shear Zone (HSZ), have offset all these rocks. The HSZ is a reverse fault ( 140 m offset) that passes through the Hollinger-Mcintyre mine, strikes 57°, dips 65°S, extends to a depth of >1,500m and formed synchronous with the east-west folds. Most gold mineralization in the HMC deposit is associated with rocks in and above the HSZ. 

Structural studies by Zwanzig (1999) identified five episodes of deformation in the south flank of the Kisseynew Domain, four of which are evident in the Sherridon Complex. An episode of Fi isoclinal folding has been recently hypothesized... 

The four phases are Di thrust-related tight to isoclinal (Fi) folds and associated axial planar schistosity (Si). D2 tight-to-isoclinal folds (F2), with S2, are interpreted as high strain deformation with F1/F2 fold interference structure (Fig. 6) resulting in the development of SI/S2 composite fabric elements. D3 are recumbent and best developed in the west part of the BMC, and D4 are represented as kink-folds. 

Isoclined isomorphous chains the two chains have parallel axes and the same orientation of the pendant methyl groups. 

A. Entrena, J. Campos, J. A. Gomez, M. A. Gallo, and A. Espinosa, A new systematization of the conformational behavior of seven-membered rings. Isoclinal anomeric and related orientations. 1,... 

Teorell studied the system (6.1-1)—(6.1.5) graphically, by the isocline method, and also numerically. He recovered most of the features observed experimentally. This study was further elaborated by several investigators. Thus, Kobatake and Fujita [5], [6] criticized the original model for invoking the ad hoc equation (6.1.5). These authors assumed instead instantaneous relaxation of the resistance to its stationary value while preserving the overall order of the relevant ordinary differential equation (ODE) system by including consideration of the mechanical inertia of the liquid column in the manometer tube. 

Fig. 6.2. Photographs of the diffraction pattern which are observed in the plane of entrance to the annular gap. Left No extinction. Right Extinction. The dark zone in the middle (i.e. the isocline) is clearly noticeable...

The described use of the isocline circumvents these difficulties at least partly. 

Fig. 12. Crystal structure of natural rubber. According to Nyburg, molecules described by coordinates (x, y, 2) (A, B, C) may be statistically replaced by the isoclined molecules having coordinates (x, Vs— y, ) (A, B, C, D )...

In this case adsorption steps are assumed to be irreversible. These isoclines are the second-order curves with a common axis of symmetry x = y. If there... 

Using the method isoclinics, Checker and coworkers [116] studied the flow of polyethylene and polypropylene melts through two dimensional contractions and used birefringence measurements to determine the relaxation behavior of these materials subject to complex flows. 

Orbital interactions considered by Koth et al. (1986a) to be responsible for the predilection of glycopyranosyl radicals to adopt conformations with the substituent at C(2) axial or isoclinal... 

The boat and the chair forms of cyclohexane show only equatorial and axial exocyclic positions. In contrast, the twist conformers display pseudoequatorial e pseudoaxial (a ) and isoclinal (i) positions [102]. 

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