Physics of Magnetism

52 CHAPTER 5. CRYSTAL FIELDS experimental value of This procedure can also be followed in cases where more than one crystal-fiel ...

SECTION 5.4. THE POINT-CHARGE APPROXIMATION AND ITS LIMITATIONS 53 The only benefit one may derive from the point-charge approxi ...

54 CHAPTER 5. CRYSTAL FIELDS 5.5. CRYSTAL-FIELD-INDUCED ANISOTROPY As will be discussed in more detail in Chapter 11, in most of ...

SECTION 5.5. CRYSTAL-FIELD-INDUCED ANISOTROPY 55 that the exchange splitting of the level is much larger than the overall crysta ...

56 CHAPTER 5. CRYSTAL FIELDS 5.6. A SIMPLIFIED VIEW OF 4f-ELECTRON ANISOTROPY For the case of a simple uniaxial crystal field, w ...

SECTION 5.6. A SIMPLIFIED VIEW OF 4f-ELECTRON ANISOTROPY 57 Fig. 5.5.2 will simply orient themselves in the field gradient to yi ...

This page intentionally left blank ...

6 Diamagnetism Diamagnetism can be regarded as originating from shielding currents induced by an applied field in the filled ele ...

60 CHAPTER 6. DIAMAGNETISM by we obtain, equating the magnetic force of Eq. (6.3) to mass times the change in acceleration, or ...

CHAPTER 6. DIAMAGNETISM 61 We will close this chapter by mentioning that in metals there is a separate diamagnetic contribution ...

This page intentionally left blank ...

7 Itinerant-Electron Magnetism 7.1. INTRODUCTION A situation completely different from that of localized moments arises when the ...

64 CHAPTER 7. ITINERANT-ELECTRON MAGNETISM level is high. After the transfer, there will be more spin-up electrons than spin-dow ...

SECTION 7.2. SUSCEPTIBILITY ENHANCEMENT 65 Since one may write If the state of lowest energy corresponds to p = 0 and the system ...

66 CHAPTER 7. ITINERANT-ELECTRON MAGNETISM This quantity describes the magnetic susceptibility in metallic systems in which ther ...

SECTION 7.3. STRONG AND WEAK FERROMAGNETISM 67 moments have a certain size. It will be shown below that the presence of a region ...

68 CHAPTER 7. ITINERANT-ELECTRON MAGNETISM Fig. 7.3.2b corresponds to the inequality sign in Eq. (7.3.4): The magnitude of and t ...

SECTION 7.3. STRONG AND WEAK FERROMAGNETISM 69 a decrease in the 3d moment. This explains qualitatively the Slater–Pauling curve ...

70 CHAPTER 7. ITINERANT-ELECTRON MAGNETISM ferromagnets is equal to zero because field-induced electron transfer into an already ...

SECTION 7.4. INTERSUBLATTICE COUPLING IN ALLOYS OF RARE EARTHS AND 3d METALS 71 means of an extension of the itinerant-electron ...