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1.12 MAGNETIC PROPERTIES                                                     FUNDAMENTALS
                  amount and kind of magnetic ion are different against  The interaction between positive ion spins is super-
                  antiferromagnetic distribution. Ferrite is a typical  exchange type, not directly act on itself. If super-
                  ferrimagnetic substance, and has formation of  exchange interaction is positive, its oxide compound
                    2
                  M O·Fe O (M  2   is magnetic ion) generally.   shows ferromagnetism. In case it is negative, it would
                         2
                           3
                    Ferromagnetism arises when all the spins of mag-  appear antiferromagnetism or ferrimagnetism.
                  netic substance line in parallel and show their sponta-
                  neous magnetization. Ferromagnetism is observed in  (1) Monoxide
                  3d-transition metals such as Fe, Co and Ni, rare earth  Typical examples of monoxide compounds are MnO,
                  metals such as Gd, Tb, Dy and their alloy. Also it is  FeO, CoO and NiO. CoO belongs to tetragonal system,
                  observed in compounds such as CrO and EuO.     and MnO and FeO belong to trigonal system. Both
                                               2
                                                                 systems are warped slightly, and then magnetic
                                                                 anisotropy would appear.
                  1.12.2 Magnetism of metal materials
                                                                 (2) Spinel oxide
                  There are free conduction electrons in metal sub-
                  stances, and then their magnetic property is much dif-  Generally spinel oxide has ferrimagnetism. Oxide com-
                  ferent from that of insulator.                 pounds with a spinel structure especially ferrites have
                    Transition metals and rare earth metals, which have  been studied for many years. Magnetite, which has been
                  d-unpaired electron, show complex magnetic charac-  known as a ferromagnetic substance, has the spinel
                  teristics. Magnetism of metals is classified as follows:  structure. Industrial ferrite materials are often spinel
                                                                 structure compounds. Ferrite formula is defined as
                    (1) Transition metals  (I) 
Fe, Co, Ni       MFe O (M Mn, Fe, Co, Ni, Cu, Zn etc.). There are
                                                                      4
                                                                    2
                                            Ferromagnetism       two kinds of ion distribution. One is normal spinel
                                                                 (M[Fe O ]) and the other is inverse spinel (Fe[MFe]O ).
                    (2) Transition metals   (II) Cr, Mn,  Fe         2  4                                 4
                                                                 Ferrite formula is generally described as M Fe
                                            Antiferromagnetism                                         1-x  x
                                                                 [M Fe ]O . In the case of x 0 and x   1, it is normal-
                                                                     2-x
                                                                         4
                                                                   x
                    (3) Transition metals   (III) Others         spinel and inverse-spinel, respectively. It is known that x
                                            Paramagnetism        value of Cu-ferrite and Mg-ferrite can be varied by sev-
                    (4) Rare earth metals   Ferromagnetism or    eral heat treatments [13–15].
                                                                  Ion distribution of spinel ferrite at high tempera-
                                            Antiferromagnetism
                                                                 ture can be partly controlled, and then various satu-
                    (5) Other metals        Paramagnetism or
                                                                 ration magnetizations can be derived by suitable heat
                                            Antiferromagnetism   treatment.
                  Many kinds of alloys are suggested by using magnetic  (3) Perovskite oxide
                  characteristics of transition metals. Useful industrial  Oxides with MTO structure have perovskite structure
                  materials have been produced for many years.                 3
                                                                 when M is a cation with a large radius and T is a metal
                                                                 such as Cr, Mn or Fe. When T is trivalent metal such
                  1.12.3 Magnetism of oxide material             as Cr or Fe, M are often trivalent metal such as La or
                                                                 rare metal. If T is tetravalent Mn, M is alkali earth
                  Conduction electron plays an important role in the  metal such as Ca and Sr.
                  magnetism of metals and alloys. However, effect of  Typical materials are antiferromagnetic substance
                  conduction electron can be almost neglected in the  such as LaFeO , LaCoO and LaNiO . LaMnO is usu-
                                                                                             3
                                                                                    3
                                                                            3
                                                                                                     4
                  case of oxides. Many kinds of metal oxide sub-  ally antiferromagnetic substance. When La is replaced
                                                                         3+
                                                                                      4
                  stance can be regarded as ionic crystal. Metal atoms  by Ca, Mn changes to Mn . It was reported that fer-
                  in ionic crystal are almost in ionic conditions. They  romagnetism appeared in these composite perovskite
                  are enclosed by positive and negative ions, and  oxide [16].
                  influenced by the crystal electric field.
                    There must be exchange interaction between   (4) Garnet structure oxide
                  magnetic ions in order that ionic crystal has ferro-  Magnetic substance (3M O ·5Fe O ) which has the
                                                                                       3
                                                                                     2
                                                                                             3
                                                                                           2
                  magnetism. Metal ions and oxygen ions are located  same structure as garnet (Mg Al (SiO ) ) has been
                                                                                            2
                                                                                                 4 3
                                                                                         3
                  alternately in oxide compounds. Iron ions are likely  studied [17,18]. First garnet structure oxides whose M
                  buried in the dense structure of oxygen ions in iron  is Y was studied. Next new magnetic materials whose
                  oxide compounds. In oxide compounds, it is impos-  M was replaced by rare earth metal have been studied.
                  sible to apply the model of metal type exchange  When M is replaced by rare earth metals such as Gd,
                  interaction. Negative ions affect on exchange inter-  Tb and Dy, these garnet oxides are able to derive large
                  action in oxide compound. P.W. Anderson suggested  magnetic moment by super-exchange interaction at
                  super-exchange interaction between positive ion  low temperature. It is known that Yttrium–Iron–Garnet
                  spins carried by negative ions, and described the  (YIG) remarkably reduces frequency loss on applica-
                  magnetism of oxide compounds [12].             tions for high frequency device.
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