Inter-turn capacitance

Figure 3-26 Winding technique for minimizing inter-turn capacitance.

Figure 8.2.2 (a) Schematic of the four-coil probehead introduced in Reference [12]. The four individual solenoidal coils are represented by an inductance (L), series resistance (R), and inter-turn capacitance (Q. The entire circuit was impedance-matched to 50 it at a frequency of 300 MHz by using the variable capacitors Ct and Cm. (b) Photograph of the four-coil assembly. Reprinted from MacNamara, E., Hou. T., Fisher, G., Wilhams, S. and Raftery, D., Multiplex Sample NMR an approach to high-throughput NMR using a parallel coil probe , Anal. Chem. Acta, 397, 9-16, copyright (1999), with permission of Elsevier Science... 

The main results are that a decrease in particle size at one position of the array increases the potential at this point, and this may lead (at least) to localization - that is, the single excess electron in the array may be trapped. As a packing defect, which affects the inter-particle capacitance at one point, acts like an inhomogeneity, the soliton will interact with its mirror-image soliton (or anti-soliton), and will therefore be attracted. This method is of practical use because the total reflection amplitude obtained by these calculations is directly related to the Landauer resistance [55-57], which increases exponentially with the number of defects. For the sake of illustration, it is possible to consider a 1-D chain of 2nm neutral metal particles in which a number N of the nanoparticles are replaced by smaller particles (1 nm). The 1 nm particles represent defects, which lead to a decreased transmission probability for electrons in the periodic chain, and in turn to an increase in the overall resistance. This situation is reflected in Figure 5.40, where the increase in resistance AG is given for this selected example, according to Ref. [58]. 

Second, the current sheet approximation is used (Multi Turn Coil Domain) [5], which reduces the total number of elements by summing up all windings into one sheet. This measure, in turn, requires some further correction to estimate the neglected inter-winding capacitance and coil wire length. This correction is performed using complex material properties... 

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