Imaginary semi-axis

The a-axis is called the transverse or real a es of the hyperbola the i/-axis the conjugate or imaginary axes the points A, A are the vertices of the hyperbolas, a is the real semi-axis, b the imaginary semi-axis.. ... 

Figure 8 shows the modeling results of the impedance spectra at BOL, 25°C, 100% SOC, modeled with the R-RC-RC-WB model and PSO algorithm described in [2]. Since this model includes no inductance, the inductive part in the positive imaginary semi-axis can not be fitted. Table 3 shows the values of the modeled parameter set. 

In addition to the continuous spectrum there is an infinite number of discrete eigenvalues which axe essentially lined up along a parallel to the imaginary axis— this is another illustration of the fact that the underlying semi-group is not analytic. 

The spots lying on any one curve are reflections from planes belonging to one zone. This is due to the fact that the Laue reflections from planes of a zone all lie on the surface of an imaginary cone whose axis is the zone axis. As shown in Fig. 3-7(a), one side of the cone is tangent to the transmitted beam, and the angle of inclination of the zone axis (Z.A.) to the transmitted beam is equal to the semi-apex angle of the cone. A film placed as shown intersects the cone in an... 

It is now possible to measure the real and imaginary parts of the impedance with the help of a vectorial analyzer in a large range of fiequencies. The experimental data are plotted in the complex plane (ReZ, -ImZ) and they are expected to draw out a semi-circle centered on the x-axis of diameter equal to R. At low frequency, the behavior is basically resistive at high frequency it is capacitive and the top of the semi-circle corresponds to the condition cot=. Experimentally, we often observe a deformation of this ideal curve, a flattening reflecting the fact that the capacitance (or equivalently the relative permittivity) is a function of the frequency (see section 11.2.1). 

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