The temperature dependence of the upper critical magnetic field H-c2(T
) in the quasi-one-dimensional molecular superconductor (TMTSF)(2)PF6
was determined via resistivity, for the intrachain (a), interchain (b)
, and interplane (c) directions. For H along a and b, H-c2(T) exhibit
s pronounced positive curvature, with no sign of saturation to 0.1 K.
A novel anisotropy inversion is observed, wherein H-c2(b) grows larger
than H-c2(a) and exceeds the paramagnetic limit by more than 200%. Th
e anomalous shape of H-c2(T) is consistent with recent predictions of
unconventional behavior in anisotropic superconductors, including the
possibility of triplet pairing and reentrant superconductivity in very
high held.