Effective demagnetizing factors of second-order magnetocrystalline anisotropies in ferromagnetic resonance Kittel formula

The effective demagnetizing factors (N-x(e) and N-y(e)) of the second-order magnetocrystalline anisotropies of cubic and hexagonal single crystals (K-2 and K-u2) for use in Kittel's ferromagnetic resonance formula are derived using previously proposed equations. The saturation magnetization is assumed to align with a static field. Six arrangements for films with the static field applied in the film plane are calculated: (1) perpendicular uniaxial anisotropy, (2) in-plane uniaxial anisotropy, (3) cubic-crystal (001) face, (4) cubic-crystal (011) face. (5) cubic-crystal (111) face, and (6) oblique anisotropy films.