On the basis of CoMn a new amorphous alloy with a saturation flux density B
s= 0.8 T and very low magnetostriction λ
sis presented. Tailored hysteresis loops and excellent magnetic properties can be obtained by a systematic variation of the cooling rate with and without a magnetic field. High permeabilities μ
aat 50 Hz are found for round loops. For flat hysteresis loops, a constant permeability

up to about 1 MHz can be adjusted. The iron losses p
Feat 100 kHz at the same time, are very low and comparable to the classically calculated eddy current losses.