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Using dynamic cantilever magnetometry and experimentally determining thecantilever's vibrational mode shape, we precisely measured the magnetic momentof a lithographically defined micron-sized superconducting Nb ring, a keyelement for the previously proposed subpiconewton force standard. The magneticmoments due to individual magnetic fluxoids and a diamagnetic response wereindependently determined at T = 4.3 K, with a subfemtoampere-square-meterresolution. The results show good agreement with the theoretical estimationyielded by the Brandt and Clem model within the spring constant determinationaccuracy.

Precision determination of a fluxoid quantum's magnetic moment in a superconducting micro-ring