Current Asymmetrical

FIGURE 10 Current asymmetric hollow-fiber formation process for gas separation membranes. 

Asymmetric organocatalytic Morita-Baylis-Hillman reactions offer synthetically viable alternatives to metal-complex-mediated reactions. The reaction is best mediated with a combination of nucleophilic tertiary amine/phosphine catalysts, and mild Bronsted acid co-catalysts usually, bifunctional chiral catalysts having both nucleophilic Lewis base and Bronsted acid site were seen to be the most efficient. Although many important factors governing the reactions were identified, our present understanding of the basic factors, and the control of reactivity and selectivity remains incomplete. Whilst substrate dependency is still considered to be an important issue, an increasing number of transformations are reaching the standards of current asymmetric reactions. 

The aldol reactions of the titanium Z-enolates proceeded smoothly with various aldehydes precomplexed with titanium chloride at -78° C. The diastereose-lectivity is high to excellent, with the single exception of benzaldehyde. The high degree of diastereoselection associated with this current asymmetric anti-aldol process can be rationalized by a Zimmerman-Traxler type of six-membered chairlike transition state Al9fl (Scheme 2.2r). The model is based on the assumptions that the titanium enolate is a seven-membered metallocycle with a chairlike conformation, and a second titanium metal is involved in the transition state, where it is chelated to indanolyloxy oxygen as well as to the aldehyde carbonyl in a six-membered chairlike transition-state structure. 

For the DBA model in Fig. 4b, we consider the total charge transmitted to the A wire and measured by J ftal = JlA + JAght with regard to the direction of the driving current. Hence, in the case of the DBA system, we examine the following current asymmetric factor ... 

Fiber dimensions have been studied for hemodialysis. When blood is circulated through the fiber lumen (m vivo), a significant reduction in apparent blood viscosity may occur if the flow-path diameter is below 100 p.m (11). Therefore, current dialy2ers use fibers with internal diameters of 180—250 p.m to obtain the maximum surface area within a safe range (see Dialysis). The relationship between the fiber cross section and the blood cells is shown in Figure 5. In many industrial appUcations, where the bore fluid is dialy2ed under elevated pressure (>200 kPa or 2 atm), fibers may burst at points of imperfection. Failure of this nature is especially likely for asymmetric fibers that display a large number of macro voids within the walls. 

Ion Channels. The excitable cell maintains an asymmetric distribution across both the plasma membrane, defining the extracellular and intracellular environments, as well as the intracellular membranes which define the cellular organelles. This maintained a symmetric distribution of ions serves two principal objectives. It contributes to the generation and maintenance of a potential gradient and the subsequent generation of electrical currents following appropriate stimulation. Moreover, it permits the ions themselves to serve as cellular messengers to link membrane excitation and cellular... 

A power circuit is basically an R-L circuit. In the event of a fault, the system voltage (V , sin ft))) may occur somewhere between V = 0 and V = on its voltage wave. This will cause a shift in the zero axis of the fault current, 7sc> and give rise to a d.c. component. The fault current will generally assume an asymmetrical waveform as illustrated in Figure 13.27. 

Therefore, the level of phase-to-phase asymmetrical faults will he generally of the same order as the three-phase symmetrical faults. The ground faults, however, will he higher than the symmetrical faults. Special care therefore needs he taken while grounding a generator, when they are solidly grounded, particularly to limit the ground fault currents See also Section 20.10.1. 

This is a simple calculation to determine the maximum symmetrical fault level of a system, to select the type of equipment, devices and bus system etc. But to decide on a realistic protective scheme, the asymmetrical value of the fault current must be estimated by including all the likely impedances of the circuit. 

A fault current on a power system is normally asymmetrical as discussed next, and is composed of a symmetrical a.c. component /sar.m.s.) nd an asymmetrical sub-transient d.c. component (Figure 14.5). The forces arising out of /jc aie referred to as electromagnetic and... 

A current wave propagating symmetrically about its zero axis, i.e. when the envelopes of the peaks of the current wave are symmetrical about its zero axis, is termed symmetrical (Figure 13.24) and a wave unable to maintain this symmetry is termed asymmetrical (Figure 13.25). 

Supposing the current and the voltage waves both have some value on their respective wave forms at the instant of short-circuit. The current will again tend to become somewhat asymmetrical but not fully. The content of asymmetry will depend upon the instant at which the short-circuit condition occurs on the current wave and the p.f. of the faulty circuit (Figure 13.27). The higher the recovery voltage at the instant of fault, the lower will be the asymmetry (at l/, , the d.c. component will be zero) and vice versa (at Fq. the d.c. component will be the maximum). 

The generation of an asymmetrical current on an a.c. system, leads to the inference that a short-circuit condition will give rise to a d.c. component due to a shift in its zero axis. During the sub-transient state the value of the asymmetrical current will be the phasor sum of the symmetrical /sc and the asymmetrical current components. For details refer to Section 14.3.6. 

This is also known as the asymmetrical breaking current and tends to become the symmetrical r.m.s. value of the fault current / c after almost four cycles from the instant of fault initiation, as discussed in Section 13.4.1(8). 

The peak value of the asymmetrical fault current determined for the first maximum peak may be considered as the momentary peak value of the fault current l%. ... 

Table 28.1 Momentary peak (maximum r.m.s.) current ratings, asymmetrical, for switchgear and metal-enclosed bus systems, based on ANSI-C-37/20C...

In the cathodic protection of asymmetrically connected communication cables, distortions are coupled into the transmission lines coming from the ripple of the sheath current. In this case also, limiting the residual ripple to 5% is usually sufficient. 

Figure 4-8 shows a comparison of the two currently used rotor profiles. Figure 4-8a shows the circular profile used in the past for both the dry and flooded compressor. The newer asymmetric profile shown in Figure 4-8b is being adopted for use in both dry and flooded service by various vendors because of the improved efficiency due to a lower leakage in the discharge area of the compressor. Because size is a factor, the improvement in efficiency is more dramatic in the smaller compressors. 

This review outlines developments in zinc-mediated cyclopropanation from the initial reports in the 1950s through to the current state of the art methods. The presentation will rely heavily on how the evolution of mechanistic understanding aided in the rationalization and optimization of each new advance in the asymmetric process. 

The existence of an electrical potential causes not only cation and anion movement but also migration of moisture toward the cathode. This movement of water (electroendosmosis) is due to the asymmetrical nature of the polar groups of the water molecule. In arid regions water leaving the anode area may cause the soil surrounding the anodes to become so dry that proper current densities cannot be maintained along the line. To alleviate this, some pipe-line companies have had to transport water into desert areas to re-moisten anode beds. 

A consequence of this theoretical approach which includes kinetic parameters is the establishment and coupling of certain ion fluxes across the phase boundary (equality of the sum of cathodic and anodic partial currents leading to a mixed potential). If a similar approach can be applied to asymmetric biological membranes with different thermodynamic equilibrium situations at both surfaces, the active ion transport could also be understood. 

The hole current in this LED is space charge limited and the electron current is contact limited. There are many more holes than electrons in the device and all of the injected electrons recombine in the device. The measured external quantum efficiency of the device is about 0.5% al a current density of 0.1 A/cm. The recombination current calculated from the device model is in reasonable agreement with the observed quantum efficiency. The quantum efficiency of this device is limited by the asymmetric charge injection. Most of the injected holes traverse the structure without recombining because there are few electrons available to form excilons. 

The current-voltage profile of rectifying junctions is strongly asymmetrical. The reason for this can be explained with the aid of a simple band diagram shown in Figure 14-2. 

The simplest and most widely used model to explain the response of organic photovoltaic devices under illumination is a metal-insulaior-metal (MIM) tunnel diode [55] with asymmetrical work-function metal electrodes (see Fig. 15-10). In forward bias, holes from the high work-function metal and electrons from the low work-function metal are injected into the organic semiconductor thin film. Because of the asymmetry of the work-functions for the two different metals, forward bias currents are orders of magnitude larger than reverse bias currents at low voltages. The expansion of the current transport model described above to a carrier generation term was not taken into account until now. 

MIM or SIM [82-84] diodes to the PPV/A1 interface provides a good qualitative understanding of the device operation in terms of Schottky diodes for high impurity densities (typically 2> 1017 cm-3) and rigid band diodes for low impurity densities (typically<1017 cm-3). Figure 15-14a and b schematically show the two models for the different impurity concentrations. However, these models do not allow a quantitative description of the open circuit voltage or the spectral resolved photocurrent spectrum. The transport properties of single-layer polymer diodes with asymmetric metal electrodes are well described by the double-carrier current flow equation (Eq. (15.4)) where the holes show a field dependent mobility and the electrons of the holes show a temperature-dependent trap distribution. 

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