Transition probability, ferromagnetic

For systems containing localized magnetic moments, the thermopower has not been theoretically investigated in such detail as the resistivity. An expression for the thermopower of ferromagnetic materials with localized moments has been obtained by Kasuya (1959) in both the molecular field approximation and the spin wave approximation. In the former case, Kasuya used a molecular field approximation to obtain the energy spectrum of the conduction electrons and the localized magnetic moments. In addition he assumed that the spin-flip transition probabilities for scattering of electrons by local moments dominate the non-spin-flip transition probabilities. 

The existence of a compound HoRu3Si2 with the LaRujSij-type of structure was reported by Barz (1980). No lattice parameters were given. For sample preparation and melting behavior (phase equilibria), see LaRujSij. A probably ferromagnetic transition was said to occur at = 14.17 K. 

PrFc2Ge2 shows a particularly complicated magnetization curve at 4.2 K (see fig. 13). It contains two ranges of a rapid growth. The first one below 1 kOe provides the evidence for a weak anisotropy field, the second one at about 10 kOe is probably connected with a metamagnetic phase transition. The ferromagnetic order is induced by an applied external magnetic field, but even the field of 50 kOe does not produce the saturation. 

Statistical theories of macromolecules in solutions have recently attracted considerable attention of theorists because of remarkable and wide-ranged properti of macromolecules, of their close connection to the theories of phase transitions in lattices, and relations to ferromagnetism and adsorption problems and of the discoveries in the structures and functions of DNA and other biological macromolecules. Needless to say, a great many papers and books have been pubUshed recently, but we confine our attention to statistical theories of macromolecules in solutions. In spite of the great number of papers in this field, however, the development of rigorous statistical theories of macromolecular solutions has been rather slow, and there have been presented many different approaches some of which have probably confused readers. Therefore, in this paper we aim at a rather unified and simplified theory of macromolecular solutions and at the same time we discuss some of the feattues of various other macromolecular solution theories and elucidate the present situation. In so doing we hope to attract attention of more theoretical chemists and physicists whose participation in this field is certainly needed. 

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