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We show that resonant quantum tunneling of the magnetization, until now observed only in zero-dimensional (0D) cluster systems, occurs in the molecular Ising spin chain , which orders as a canted 3D-antiferromagnet at . We present three features that prove unambigously the existence of resonant quantum tunneling below (): Temperature independent relaxation of the magnetization, speeding up of the relaxation at a well defined field () and increase of the magnetization each time this field is crossed during a succession of minor hysteresis loops. A mechanism is proposed to describe the behavior based on a simple model of 0D domain wall nucleation.

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