Longitudinal zones

The various forms of defects on the internal surface of this tube could be overlooked in a casual, visual examination. Closer observation, however, would disclose several forms of discontinuities, such as shallow gouges (Fig. 14.7) and particles of smeared metal (Fig. 14.8). These features are prominent in a distinct longitudinal zone (Fig. 14.9). 

Muller F. and O Rahilly J. (1988). The development of the human brain, including the longitudinal zoning the diencephalon at stage 15. Anat Embryol 179, 55-72. 

The combination of latitudinal thermal belts and longitudinal zones of wetting in the plains creates a diversity of moisture-temperature conditions and consequently formation of different ecosystems with varying biogeochemical cycling. 

Brodal A, Walberg F (1977b) The olivocerebellar projection in the cat studied with the method of retrograde axonal transport of horseradish peroxidase. VI. The projection onto longitudinal zones of the paramedian lobule. J. Comp. Neurol, 176, 281-294. 

The reason for dividing the longitudinal zones into top and bottom zones is beeause there are usually considerable differenees in the losses and the heat transfer rates at different levels. Door seals may leak more outward at top than inward at bottom. Car seals may leak more at front than at baek, and more at front and back than at the sides. In some cases, the flow pattern of the flames poc may completely upset the predictions of the previous two statements beeause of different impacts or suctions caused by the jet effects and heat transfer patterns of the many flames. Another reason for separate top and bottom zones is that eost and practieal reasons often result in as much as 25% less clearance spaee below the loads than above them. 

Iditional importance is that the vibrational modes are dependent upon the reciprocal e vector k. As with calculations of the electronic structure of periodic lattices these cal-ions are usually performed by selecting a suitable set of points from within the Brillouin. For periodic solids it is necessary to take this periodicity into account the effect on the id-derivative matrix is that each element x] needs to be multiplied by the phase factor k-r y). A phonon dispersion curve indicates how the phonon frequencies vary over tlie luin zone, an example being shown in Figure 5.37. The phonon density of states is ariation in the number of frequencies as a function of frequency. A purely transverse ition is one where the displacement of the atoms is perpendicular to the direction of on of the wave in a pmely longitudinal vibration tlie atomic displacements are in the ition of the wave motion. Such motions can be observed in simple systems (e.g. those contain just one or two atoms per unit cell) but for general three-dimensional lattices of the vibrations are a mixture of transverse and longitudinal motions, the exceptions... 

At low temperatures, the surface mobiUty of the atoms is limited and the stmcture grows as tapered crystaUites from a limited number of nuclei. It is not a full density stmcture but contains longitudinal porosity on the order of a few tens of nm width between the tapered crystaUites. It also contains numerous dislocations with a high level of residual stress. Such a stmcture has also been caUed botryoidal and corresponds to Zone 1 in Figures 6 and . 

The area of actual erg and dune formation is delimited by the 150 mm/yr isohyet. This precipitation boundary appears to have shifted strongly in the recent past. Between 20,000 and 13,000 yr BP, the southern limit of active dune formation in the Sahara desert was 800 km south of its present position and most of the now sparely vegetated Sahelian zone was an area of active dune formation at that time. These dunes, mostly of the longitudinal type, are now fixed by vegetation, but their aeolian parentage is still obvious from their well-sorted material. A similar story can be told for the Kalahari sands. Overgrazing in recent times has reactivated aeolian transport in many regions with sands. 

If these concepts of curve analysis shall be applied to the anisotropic scattering of polymer fibers, one should choose to study either the longitudinal or the transversal density fluctuations. According to the decision made, the fiber scattering must be projected either on the fiber axis or on the cross-sectional plane. This results in scattering curves with a one- or a two-dimensional Porod s law. Because modern radiation sources always feature a point-focus, the required plots for the separation of fluctuation and transition zone are readily established (cf. Table 8.3). 

The standard deviation of the Gaussian zones expresses the extent of dispersion and corresponds to the width of the peak at 0.607 of the maximum height [24,25]. The total system variance (ofot) is affected by several parameters that lead to dispersion (Eq. 17.22). According to Lauer and McManigill [26] these include injection variance (of), longitudinal (axial) diffusion variance (of), radial thermal (temperature gradient) variance (of,), electroosmotic flow variance (of,), electrical field perturbation (electrodispersion) variance (of) and wall-adsorption variance (of ). Several authors [9,24,27-30] have described and investigated these individual variances further and have even identified additional sources of variance, like detection variance (erf,), and others... 

From Eq. 17.26 it is clear that the variance due to longitudinal diffusion is negatively influenced by the length of the capillary and the diffusion coefficient of the solute. However, it is positively affected by the applied potential and the apparent mobility of a solute. According to this equation, fast migrating zones will show less variance due to axial diffusion. 

Eq. 17.42 is the expression of the resolution for CE in electrophoretic terms. However, the application of this expression for the calculation of Rs in practice is limited because of D,. The diffusion coefficient of different compounds in different media is not always available. Therefore, the resolution is frequently calculated with an expression that employs the width of the peaks obtained in an electropherogram. This way of working results in resolution values that are more realistic as all possible variances are considered (not only longitudinal diffusion in Eq. 17.42). Assuming that the migrating zones have a Gaussian distribution, the resolution can be expressed as follows ... 

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