The influence of nuclear magnetism on the superconducting critical field B-
c has been measured in the nuclear magnets Al, AuIn2, and Sn, at ultralow t
emperatures, 17 mu K much less than T much less than I It. The materials ha
ve been chosen in respect to their distinctive Korringa constants kappa(Al,
AuIn2, Sn) = (1.8.0.1,0.05) Ks. Both in the weakly and in the strongly cou
pled nuclear magnets, Al and Sn, a reduction of B-c is observed being propo
rtional to the nuclear magnetization at T less than or equal to 4 mK. Howev
er using the high resolution of the experiment performed on Sn, the decreas
e of B-c at cooling down to 70 mu K is found to be nonmonotonic. The featur
es of the recently measured B-c( T) curve of Sn which are not understood ye
t as well as the formerly observed results of the interplay of nuclear ferr
omagnetism and superconductivity in AuIn2 have motivated ongoing experiment
s which try to clear up the pair breaking contribution of nuclear magnetism
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