By J.J.M. Franse, R. Gersdorf (auth.), H.P.J. Wijn (eds.)
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Additional info for 3d, 4d and 5d Elements, Alloys and Compounds
5 Magnetocrystalline anisotropy constants The anisotropy constants K,, K,, . . are defined for cubic lattices such as Fe and Ni by expressing the free energy of the crystal anisotropy per unit volume by E,=Ko+K,S+K2P+K3S2+K4SP+... g;+ c&; and P = ct2c12u2 1 2 3r where cli, clj, elkare the direction cosines of the angle between the magnetization vector and the crystallographic axes. For hexagonal lattices, such as Co, it is more convenient to use the definition where 4 is the angle between the magnetization and the c axis, and 0 is the angle in the basal plane.
It is clear from Fig. 13a that meaningful longitudinal relaxation times can not be obtained by assuming an exponential decay but that the details of the excitation and motion of the spins must be considered. Due to these complications in the domain walls the literature unfortunately contains a wide variety of ill-defined relaxation times for Fe, Co, and Ni with few details of the operating conditions or analysis procedures used in obtaining the relaxation times. Many of theseresults are thus of questionable value as can be seenfrom the wide range of measured relaxation times listed in Table 5.
Lax:. NMR frequency Y vs. temperature in the ferromagnetic state of(a) “Fe in bee Fe metal, I: [SOS I], 2:[61Bl];(b)5gCoinfccCometal,1:[80S1],2:[60Kl], 3:[63LI];(c)61NiinNimetal,l:[80S1],2:[70Rl];cw mcasurcmcnts in natural Ni, 3: [63 S 11. 230 MHz 100 200 300 LOO 500 600 700 d Fig. Id. Temperature dependence ofthe “Co wall center and wall edge NMR frcquencics in hcp Co. The dashed curve rcprcscnts the data in the feephase [72 K I], set also [63 F 11. 8 Fe, Co, Ni: hyperfine fields, isomer shifts, relaxation time Ref.
3d, 4d and 5d Elements, Alloys and Compounds by J.J.M. Franse, R. Gersdorf (auth.), H.P.J. Wijn (eds.)