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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Medical & biological engineering & computing 28 (1990), S. 182-186 
    ISSN: 1741-0444
    Keywords: Current density linearity limit ; Electrode capacitance ; Electrode-electrolyte interface ; Electrode resistance ; Electrodes ; Warburg model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract The series equivalent resistance R and capacitance C of metal/saline electrode/electrolyte interfaces were measured as a function of frequency (100 Hz–20k Hz) and current density (0·25 to 1000 A m−2) for eight typical electrode metals. For each of the metals tested, R decreased and C increased as the current density was increased above a critical value (with the exception of silver and MP35N at frequencies above 1 kHz for which R increased and C decreased slightly). With the exception of copper, the current density linearity limit (for 10 per cent decrease in R or 10 per cent increase in C) increased with increasing frequency and, in most cases, the current density linearity limit for 10 per cent increase in C was slightly less than that for 10 per cent decrease in R. Among the metals tested, copper and aluminium had the lowest current carrying capability and rhodium had the highest current-carrying capability. The current carrying capabilities of 316 SS, platinum, silver and MP35N, were intermediate and similar. With increasing current density, an increase in the electrode/electrolyte capacitance was the most sensitive indicator of the current-carrying linearity limit.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Medical & biological engineering & computing 28 (1990), S. 587-590 
    ISSN: 1741-0444
    Keywords: Cell constant ; Conductivity cell ; Electrodes ; Resistivity ; Tetrapolar
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract The factors that specify the cell constant k of the tetrapolar conductivity cell are investigated. An equation to predict the value of k from the geometry of the cell is derived and validated by measuring the cell constant for different geometries in solutions of known resistivity. The constant-current method for tetrapolar resistivity measurement is used. The results show that the value of k depends only on the cell geometry and is independent of solution resistivity in the range of 30–3000 Ωcm. Excellent agreement (less than 5 per cent error with a correlation coefficient of 0·99) between the predicted and the experimentally measured values of the cell constant is obtained, demonstrating that the derived expression can be used to predict the tetrapolar conductivity cell constant.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Annals of biomedical engineering 19 (1991), S. 151-163 
    ISSN: 1573-9686
    Keywords: Electrodes ; Polarization impedance ; Warburg model ; Fricke model ; Power law
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine , Technology
    Notes: Abstract The objective of this study was to characterize the polarization impedance (resistance and capacitance) of several common metal/0.9% saline interfaces operated at low-current density and to thereby provide a useful reference for those wishing to calculate the impedance of such electrodes. The series-equivalent resistance (R) and capacitive reactance (Xc) of stainless steel, platinum, silver, MP35N, palladium, aluminum, rhodium and copper electrodes, all having a surface areas S=0.005 cm2 and all in contact with 0.9% saline, were measured as a function of frequency (100 Hz to 20 kHz) at low-current density (0.025 mA/cm2). For all the metals tested, both R and Xc decreased with increasing frequency and the relationships were linear on a log-log plot. That is, R and Xc exhibited power-law behavior (R=A/fα and Xc=B/fβ). However, it was not generally true that A=B and α=β=0.5 as stated in the Warburg low-current density model. Furthermore, the Fricke constant phase model in which α=β and ϕ=0.5πβ was found not to be applicable in general. In particular, the constraint that α=β was a good approximation for most of the metals tested in this study, but the constraint that ϕ=0.5πβ did not hold in general. Although the Warburg low-current density model provides a useful conceptual tool, it is not the most accurate representation of the electrode-electrolyte interface. The Fricke constant phase model is a better representation of electrode behavior, but it also may not be valid in general. We have found that a better representation is provided by the general power-law model R=A/fα and Xc=B/fβ, where A, B, α, and β depend on the species of both the metal and electrolyte and A and B depend, in addition, on electrode area. Using this model and the data presented in this study, the impedance of an electrode-electrolyte interface operated at low-current density may be calculated as $$Z = (0.005/S)\sqrt {(Af^{ - \alpha } )^2 + (Bf^{ - \beta } )^2 } ,$$ where S is the surface area of the electrode in cm2.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Annals of biomedical engineering 20 (1992), S. 617-627 
    ISSN: 1573-9686
    Keywords: Monopolar electrode ; Electrode-electrolyte interface ; Impedance ; Transition frequency
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine , Technology
    Notes: Abstract The impedance of a monopolar electrode immersed in an environmental volume conductor consists of two parts; the impedance of the active electrode-electrolyte interface, and the resistance of the environmental conductor. Two studies were carried out to quantitate these components. First, impedance-frequency data were collected for five spherical stainless-steel electrodes (ranging from 0.473 to 1.11 cm in diameter) immersed in 0.9% saline (ρ=70 Ω-cm). Impedance measurements were made from 100 Hz to 100 kHz and two sets of data were obtained; one before and one after each electrode was polished with fine emery paper. At low frequency, the measured impedances were high and varied with electrode surface preparation. However, above a transition frequency, the impedances were resistive, independent of the electrode surface preparation, and equal to ρ/2πd as predicted from the theory. This study indicates that the low frequency impedance of a monopolar electrode is dominated by the impedance of the electrode-electrolyte interface. Above a transition frequency, the resistance of the environmental conductor dominates, the value of this resistance depending on the electrode geometry and the resistivity (ρ) of the environmental conductor. A second study was conducted, to examine the effect of the distance to the indifferent electrode. A frequency (100 kHz) above the transition frequency was used and impedance data were collected for various distances between the monopolar and indifferent electrodes. The measured resistance increased asymptotically as the distance between the electrodes was increased. When the indifferent electrode diameter was at least 10 times the diameter of the spherical monopolar electrode, the measured resistance was within 5% of the value predicted for an indifferent electrode at infinity.
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