Phase angle cotangent

It is important to recognize that data produced by the FT-FAM procedure encompass three dimensions, response, d.c. potential (Ejc), and frequency (w). Response may be the faradaic admittance (in-phase, quadrature or total) or its phase angle cotangent (cot ). Faradaic admittance or cot "polarograms" are plots of one or more of the faradaic admittance components or cot versus E(jc at constant w. Faradaic admittance or cot spectra are plots of one or more of the faradaic admittance components or cotnf> versus ail/2 at constant Ejc ... 

Figure 19. Peak faradaic admittance spectra for Cd2+/Cd(Hg) system after nonfaradaic compensation. System DME-aqueous 1.0 M ZnS04, 0.18 M H2SO4 at 25°C. Applied Pseudo-random odd-harmonic a.c. waveform with 1.5 mV per frequency component, 26 components superimposed on d.c. voltage of 0.523 volt vs. Ag/AgCl (saturated NaCl). Measured Average of 10 replicates at 3.0 s in life of mechanically controlled drop life. A = phase angle cotangent. B = total admittance spectrum.

Tangent of the loss angle and the cotangent of the phase angle... 

Figure 2. Frequency dependence of cotangent of a.c. phase angle for Co compounds in CHjCN-...

The ratio of the loss index to its relative permittivity, the tangent of its loss angle, 5 or the cotangent of its phase angle, 0. 

Another type of analysis is based on the determination of the phase angle, cp, of the faradaic impedance. From Eq. (4.54) the cotangent of the phase angle,... 

The dissipation factor is a ratio of the real power (in-phase power) to the reactive power (power 90° out of phase). It is also defined as (1) IT is the ratio of conductance of a capacitor in which the material is the dielectric to its susceptance, (2) IT is the ratio of its parallel reactance to its parallel resistance it is the tangent of the loss angle and the cotangent... 

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