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NEOCLASSICAL THEORY OF INTERACTION                                       79

            2.6.2   Basic Description of Ferro-Materials

            Let us start from some classification:
            1.  Ferromagnetism is the basic mechanism by which certain materials (such as iron, nickel,
               cobalt, most of their alloys, some rare elements as gadolinium and neodymium, etc.) form
               the structure with strong and close to saturation magnetic moment domain and are intensely
               attracted to magnets. Many of them are metals with high thermal and electric conductivity.
               Ferromagnetics are extensively used as permanent  magnets in loudspeaker and
               microphones,  magnetic particles in  medical and biology research, in power  motor,
               generators and transformers, electromagnet cores and relays, cassette magnetic tape, stripe
               on the back of credit card, medical equipment, as a low frequency (up to 100 kHz) magnetic
               field shielding, and wide-ranging variety of different devices.
            2.  Ferrimagnetism essentially is the same form of magnetism as ferromagnetism. However,
               the ferrimagnetics are chiefly isolators or semiconductors, i.e. they might be transparent
               well into the radio and optical spectrum. It is explained by the fact that they consist of the
               different type of neighboring ions of unequal magnetic moments, which are polarized in
               opposite directions. As a result, the ferrimagnets are weakly attracted by the magnetic field
               as compared to ferromagnets. Magnetite Fe O , ferrites like ZnO, MgFe O  and ZnFe O ,
                                                                         2
                                                                                    2
                                                                           4
                                                  3 4
                                                                                      4
               yttrium iron garnet Y Fe O , gallium gadolinium garnet Gd Ga O , optically transparent
                                3  5 12                        3  5 12
               oxyphosphate  PbFe O(PO )3  are examples.  A  wide variety of ferrimagnetic  material
                                3
                                     4
               applications include a low frequency (up to 100 kHz) magnetic field shielding, magnetic
               analog and digital data storages like Magnetoresistive Random-Access Memory (MRAM)
               and computer hard drives with Giant MagnetoResistive (GMR) reading head, microwave
               nonreciprocal devices like circulators, switches, isolators, magneto-optic devices based on
               Faraday and Kerr effect, etc. This list always grows following the progress in new material
               development.
            3.  In antiferromagnets, the moments of the aligned and anti-aligned ions entirely balance
               thereby nullifying the net magnetization, despite the magnetic ordering. These alignment
               effects only occur at temperatures below a certain critical temperature, called the Curie
               temperature (for ferromagnets and ferrimagnets) or  the Néel temperature (for
               antiferromagnets).
            4.  In ferroelectrics, the domain structure is formed by the electric dipoles. The strong external
               E-field (10 – 100 kV/m) is required to reorient most of the domains in the direction of the
               applied field or close to it. This process, called polling, induces the piezoelectric (world
               “piezo” is Greek  for “push”) properties forcing the  ferroelectric element to expand or
               contract its dimensions (under the influence of the permanent external field) or vibrate
               (under  the  influence of the external time-varying field).  Dielectric constants of
               ferroelectrics can be enormous—in the range of 1000–5000 for pure BaTiO  and up to
                                                                              3
                                                     50,000 if the titanium, Ti, is replaced by
                                                     zirconium,  Zr. Since the  piezoelectric
                                                     poling  effect can be  reversible,  the
                                                     piezoelectric materials are used to convert
                                                     electrical energy into  mechanical energy
                                                     and vice-versa. There is a broad range of
                                                     applications for  ferroelectrics materials.
                                                     Piezo drives and motors are vital in today's
                                                     ultra-precision  motion control systems,
                   Figure 2.6.1 Relative dielectric or   sonars,   miniaturized Micro Electro
                   magnetic constant over temperature   Mechanical Systems (MEMS) switches, in
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