Abstract
Calculations are made of the first anisotropy coefficient K1 and of the spectroscopic splitting factor g for nickel, based on the collective electron theory of the corresponding effects due to Brooks and the calculations of the author of the N(E) curve for the 3d electrons in nickel. Brooks' theory is reviewed, the underlying assumptions and approximations examined, some minor errors are corrected and it is extended to provide a formula for the gyromagnetic ratio g'. The value of - 5×107 erg cm-3 obtained for K1 is considerably larger than the best available experimental value of - 8×105 ergs cm-3 for nickel at 0°K and Brooks' estimate of - 8×105 erg cm-3. The values of 2.14 and 1.84 are obtained for g and g' respectively as compared with experimental values of 2.19-2.42 and 1.93. Possible reasons for the discrepancies are discussed. Finally Brooks' theory is formally extended to remove one of the major approximations.