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alloys anisotropy antiferromagnetic approximation atoms attenuation average axis band behavior calculated coefficient conduction electrons configuration constant contribution correlation coupling critical critical exponent crystal Curie temperature curve determined diagrams discussed effects energy equation exchange experimental results experiments exponent Fermi surface ferromagnetic finite form factor Fourier frequency given Hamiltonian Heisenberg hydrodynamic impurities integral interaction iron kbar lattice linear longitudinal low temperature magnetic field magnetic moments magnetic structure magnetostriction magnon magnon-pair measurements mode Mossbauer neutron diffraction neutron scattering nickel nonmagnetic observed obtained orbital order parameter paramagnetic paramagnons phase transitions phonon Phys Physics predicted Printed in Norwich propagation range rare earth region relaxation resistivity resonance shown in Figure solid sound wave specific heat spectrum spin fluctuations spin wave spin-fluctuations superconductivity susceptibility temperature dependence theoretical theory tion transition metals unit cell velocity Voigt effect volume wave vector zero