Planarity index

Aminobiphenyl isomer Carcinogenicity Mutagenicity of parent compound Mutagenicity of N -hydroxylamine Planarity index (area/depth )... 

When the planarity index of area/depth, is plotted against AE, the CYPl substrates can readily be discriminated from substrates of other cytochrome P4S0 families (Figure... 

Figure 1 Planar structure assumed for ellipsometric analysis is the complex index of...

Figure 10-11. The sample is a 290 nm thin film of LPPP deposited on a BK7 substrate. A planar waveguide glass/polymer/air is formed since the polymer film has the highest index of refraction. The resulting intensity profile of the guided TE waveguide mode for the sample is shown on the right hand side. Only one guided mode is supported.

Consider light traveling from one medium to another (Fig. 1). To simplify the problem, we can consider that the media are infinite in extent and that the interface between the media is planar. Note that a more complex geometry will not change the result. Also consider that each medium can be described by an index of refraction, n, which is the apparent speed of the wave through... 

It is important to know the influence of the physicochemical parameters of the mobile phase (dipole moment, dielectric constant, and refractive index) on solvent strength and selectivity. The main interactions in planar chromatography between the molecules of the mobile phases and those of solutes are caused by dispersion forces related to the refractive index, dipole-dipole forces related to the dipole moment, induction forces related to a permanent dipole and an induced one, hydrogen bonding, and dielectric interactions related to the dielectric constant. Solvent strength depends mainly on the dipole moment of the mobile phase, whereas the solvent selectivity depends on the dielectric constant of the mobile phase. 

The reactivity index is the conventional theoretical quantity which is used as a measure of the relative rate of reactions of similar sort occurring in different positions in a molecule or in different molecules. As has already been mentioned in Chap. 2, most reactivity indices have been derived from LCAO MO calculations for unicentric reactions of planar n electron systems as). The theoretical indices for saturated molecules have also been put to use B0>. In the present section the discussion is limited to the indices derived from the theory developed in the preceding sections, since the other reactivity indices are presented in more detail than the frontier-electron theory in the usual textbooks 65,86) jn this field. 

When one has a planar surface, one can take advantage of X-ray optics to enhance surface sensitivity.61,62 The most important is specular or mirror reflection, and this is due to the fact that at X-ray energies the index of refraction of matter is slightly less than one and is given by ... 

Recently in [6] we constructed effective Lagrangians of the Veneziano-Yankielowicz (VY) type for two non-supersymmetric but strongly interacting theories with a Dirac fermion either in the two index symmetric or two index antisymmetric representation of the gauge group. These theories are planar equivalent, at N —> oo to SYM [7], In this limit the non-supersymmetric effective Lagrangians coincide with the bosonic part of the VY Lagrangian. 

Sulfur. Thiophene and benzo[ >] thiophene are both aromatic heterocycles, as discussed earlier in this review. Isothiazole is a planar molecule with an aromaticity comparable with those of thiazole and pyrazole, and higher than those of isoxazole and oxazole,122 140 as evaluated on the basis of Bird s aromaticity index A, based upon the statistical degree of uniformity of the bond orders of the ring periphery. Theoretical calculations and experimental data in connection with the aromaticity of isothiazole have been reviewed.141 Thiazole is also viewed as an aromatic molecule, similar to thiophene. It lacks an experimental aromaticity value, but the heat of formation together with bond lengths and angles have been calculated by various computational meth-... 

Siloles, germoles, stannoles, and plumboles have been extensively reviewed.180 The aromaticity of these systems is still under scrutiny. In the study, the cyclopentadienyl anion had the highest aromatic character, with a NICS value of —14 and a Bird index of 100. Structures 138 and 139 also showed high and similar aromaticity indices (Scheme 59). For the planar silacyclopentadienyl anion 138, the NICS value is —10.2 and the Bird index 80, while the values for anion 139 are —10.9 and 77, respectively. 

Unfortunately, Maxwell s equations can be solved analytically for only a few simple canonical resonator structures, such as spheres (Stratton, 1997) and infinitely long cylinders of circular cross-sections (Jones, 1964). For arbitrary-shape microresonators, numerical solution is required, even in the 2-D formulation. Most 2-D methods and algorithms for the simulation of microresonator properties rely on the Effective Index (El) method to account for the planar microresonator finite thickness (Chin, 1994). The El method enables reducing the original 3-D problem to a pair of 2-D problems for transverse-electric and transverse-magnetic polarized modes and perform numerical calculations in the plane of the resonator. Here, the effective... 

Abstract Investigation of spatiotemporal dynamics of optical pulse in step-index planar... 

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