The effect of thermal treatments (by the Joule heating and conventional annealing) on the coercivity and saturation magnetostriction constant in the amorphous and nanocrystalline Co_{66}Fe_{4}Mo_{2}Si_{16}B_{12} alloy is reported. It is noticeable the near insensibility to the external stress of coercive field and anisotropy field (leading to extremely low value of magnetostriction 1.5×10^{-8}) achieved after the Joule heating by two steps (first one to relax the internal stresses and the second one to develop a fine nanocrystalline structure).
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