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82                                                                 Chapter 2

        1.  Low magnetizing field (blue area). Reversible movements of the domain walls occur such
            that domains oriented in the general direction of the magnetizing field grow at the expense
            of those  unfavorably  oriented. The magnetic permeability  increases  almost linear. The
            walls return to their original position on the removal of the magnetizing field, and there is
            no residual magnetization, or it is very low.
        2.  Medium magnetizing field (pale green area). Larger movements of domain walls occur,
            many of which are irreversible, and the volume of favorably oriented domains is much
            increased. The magnetic permeability grow accelerates. On the removal of the field, not all
            the walls return to their original positions, and there is a residual magnetization.
        3.  High magnetizing field (rosy area). Large movements of domain walls occur such that
            many are swept out of the specimen completely. The directions of magnetization of the
            remaining domains gradually rotate, as the field is increased, until the magnetization is
            everywhere parallel to the field, and the material is magnetized to saturation. The magnetic
            permeability attains the maximum and starts dropping on the way to saturation and beyond.
            On the  removal  of the field, domain  walls partially  reappear,  and the domain
            magnetizations  may rotate away from  the  original field  direction. The residual
            magnetization has its maximum value.

        Table 2.4 lists the relative permeability of some ferromagnetic materials and the magnetic field
        strength we need to reach the permeability maximum. The additional information is given for
        the electrical conductivity and Curie temperature. All data are not exact and can be used as the
        references only. Note that ferromagnetics, being  metallic  materials, are relatively  good
        electrical conductors.
                                                                            Table 2.4
             Material      Conductivity     Maximum      Magnetic        Curie
                               (S/m)         Relative      Field      Temperature
                                           Permeability   Strength       (℃ )
         Metglas           (7 – 8.2) ∙ 10    1 000 000     0.5 T       350 - 540
                                      3
         Pure Iron             10            200 000                     1043
                                 7
         Mu-metal (nickel-          6      20 000 – 200   0.002 T      Up to 860
         iron alloy)         ~1.7 ∙ 10         000
         Cobalt             1.646 ∙ 10       18,000        10 T          1388
                                    7
         Cobalt-Iron         2.5 ∙ 10        24,000                     900-950
                                   7
         Electrical Steel    1.46 ∙ 10        4 000       0.002 T      400 - 500
                                    7
         Nickel              1.43 ∙ 10      100 - 600     0.002 T         627
                                    7
         Neodymium         (6 – 9.1) ∙ 10     1.05                     310 - 400
                                      3
         Magnet
         Samarium-Cobalt     1.2 ∙ 10         1.05                     720 - 800
                                   4
        Unfortunately, ferromagnetics with high relative permeability is very sensitive to frequency
        variations. From the discussion surrounding the complex dielectric and magnetic constant, we
        know that any movement of electric or magnetic dipoles cannot be done instantaneously. It
        means that the external alternating magnetic field is not able to shifts the boundaries between
        domains promptly too. Meanwhile, the quantum by nature force aligning domain spin moment
        is relatively robust that leads to the substantial inertia of magnetic moments in ferromagnetics.
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