A parallel beam of neutrons with energy E = 0.025 eV passes through a collimating slit with a width of d = 0.1 mm and then through a gap in a Stern-Gerlach magnet with a length of L = 1 m. Estimate the value of the field gradient dB/dz at which the angle of magnetic deflection of the beam components equal to the diffraction broadening angle. The magnetic moment of a neutron is approximately 700 times less than the Bohr magneton.

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