Physics of Magnetism

32 CHAPTER 4. THE MAGNETICALLY ORDERED STATE field dependence of the magnetization behaves as shown by curve (a) in Fig. 4.3.3. ...

SECTION 4.3. ANTIFERROMAGNETISM 33 which gives This change in moment direction from the easy direction to a direction perpendicu ...

34 CHAPTER 4. THE MAGNETICALLY ORDERED STATE parallel arrangement of the two sublattice moments, as in the high-field part of cu ...

SECTION 4.4. FERR1MAGNET1SM 35 In general, and are positive quantities but this is not strictly necessary. For instance, there a ...

36 CHAPTER 4. THE MAGNETICALLY ORDERED STATE so that where the intrasublattice- and intersublattice-molecular-field constants an ...

SECTION 4.4. FERRIMAGNETISM 37 where and are the Brillouin functions corresponding to the quantum numbers and respectively, and ...

38 CHAPTER 4. THE MAGNETICALLY ORDERED STATE the effective molecular field at the A sites is stronger than at the B sites. In th ...

SECTION 4.4. FERRIMAGNETISM 39 between the rare-earth (R) sublattice and transition-metal (T) sublattice in ferrimagnetic interm ...

40 CHAPTER 4. THE MAGNETICALLY ORDERED STATE In general, it is found that is almost temperature independent. This means that rel ...

SECTION 4.4. FERRIMAGNETISM 41 here. Details of this method have been described by Nicklow et al. (1976) and Koon and Rhyne (198 ...

42 CHAPTER 4. THE MAGNETICALLY ORDERED STATE Morrish, A. H. (1965) The physical principles of magnetism. New York: John Wiley an ...

5 Crystal Fields 5.1. INTRODUCTION Almost all magnetic phenomena described in the preceding two chapters depend on the lifting o ...

44 CHAPTER 5. CRYSTAL FIELDS uniaxial rare-earth-based materials can be understood and by means of which the formulae used in Se ...

SECTION 5.2. QUANTUM-MECHANICAL TREATMENT 45 and the unpaired electron, respectively. The summation is carried out over all liga ...

46 CHAPTER 5. CRYSTAL FIELDS where the summation again extends over all ligand charges and the corresponding ligand positions in ...

SECTION 5.2. QUANTUM-MECHANICAL TREATMENT 47 In several uniaxial crystal structures, symmetry causes the term to be absent. It m ...

48 CHAPTER 5. CRYSTAL FIELDS Until now, we have used the 4f wave functions corresponding to the represen­ tation to calculate th ...

SECTION 5.2. QUANTUM-MECHANICAL TREATMENT 49 the larger the atomic weight. Hence, it is larger for the rare earths than for the ...

50 CHAPTER 5. CRYSTAL FIELDS In the case of 3d electrons, we have to proceed differently. First, we have to deal with the turbat ...

SECTION 5.3. EXPERIMENTAL DETERMINATION OF CRYSTAL-FIELD PARAMETERS 51 split and levels. In other words, from a comparison of th ...