Abstract
An extensive (> 10 μ) multiply connected ultrathin (∼2 nm) rhenium metal film can be formed on the internal surfaces of porous high area aluminas and silicas by simple chemical means, ac susceptibility measurements have been made on such samples in applied static magnetic fields at temperatures below the superconducting transition of the rhenium film. The results can be interpreted using a model of hollow thin-walled cylinders in which the cylinder diameter is a measure of the extent of multiply connectedness and the wall thickness is a measure of the film thickness. The susceptibility is observed to decrease much more rapidly with increasing ac measuring field than with increasing applied static field. It is assumed that the decrease with ac field is inversely proportional to the cylinder diameter, and the decrease with static field is inversely proportional to the wall thickness. Using this model, estimates from the susceptibility measurements are found to be consistent with independent estimates of the film thickness from x-ray diffraction line broadening and of the extent of multiply connectedness from the decrease in signal after grinding and screening the sample.

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