Penetration of Magnetic Field into Superconducting Mercury

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IT is well known that a magnetic field is almost completely excluded from a superconductor, so that a long cylinder has a diamagnetic susceptibility χo which is 1/4π for a field parallel to the cylinder axis, or 1/2π for a transverse field. The magnetic field does, however, penetrate slightly, so that the actual diamagnetic susceptibility χ should be slightly smaller than χ0, and elementary considerations show that we should have where λ defines a `penetration depth' and r is the cylinder radius. Previous experiments by one of us1 on colloidal mercury, and by Appleyard and others2 on thin mercury films (in both cases involving specimen size comparable to or smaller than λ), showed that λ is of the order of 10-5 cm. and increases several times as the temperature approaches the transition point (4.17° K.). Thus χ for cylinders with radii of order 10-3 cm. should vary by a few per cent close to 4.17° K.

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