A Fe-based soft magnetic alloy is represented by the formula: FeaZrxNbyB beta or (Fe1-aQa)bB beta M lambda Znz, wherein Q is at least one of Co and Ni; M is at least one selected from the group consisting of Ti, Zr, Hf, V, Nb, Ta, Mo and W; the subscripts satisfy the relationships; a ≤ 0.05, 80 atomic percent ≤ b; 5 atomic percent ≤ x + y ≤ 7.5 atomic percent; 1.5/6 ≤ x/(x+y) ≤ 2.5/6; and 5 atomic percent ≤ beta ≤ 12.5 atomic percent. The Fe-based soft magnetic alloy has a fine crystalline texture composed of at least 50% of the fine crystalline texture of a bcc-Fe phase as the major component and the balance being an amorphous phase. The soft magnetic alloy has high saturation magnetic flux density and low iron loss. The alloy is suitable for magnetic cores. IMAGE
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