Abstract
Inelastic neutron scattering, probing the temporal spin-spin correlation at the different microscopic scale, is a powerful technique to study the magnetic behaviour of ferromagnetic crystals. In addition, high penetration power of neutron in samples has made it as a useful way for spin-spin interaction in neutron scattering. Changes in the magnetic cross section in term of different energy transfer and temperatures are calculated for nickel and iron as transition metals in Heisenberg model versus spin wave theory by considering atomic form factor. Finally, the effect of magnetic structure and behaviour of crystal in measuring cross-section shows that increasing temperature results in the Cross-section increase Also, the existence of propagating spin waves below Tc is compared in Ni and Fe in different momentum transfers. The relation of spin wave energy with temperature dependence of nickel has created different behaviour in the changes of cross section rather than iron.
Highlights
We have measured the ferromagnetic scattering for scattering vector (κ) for nickel and iron and by considering appropriated interval for each of them; we investigate cross section changes versus scattering vector
Calculation of the below, at and above Curie temperature neutron scattering for ferromagnetic material like nickel and iron have revealed cross section changes versus temperature and scattering vector. These results have led to a new pictures of neutron scattering behaviour in transition metal in Heisenberg model, one in which with increasing scattering vector, cross section decreases and with increasing t emperature, cross section increases
Cross section changes in terms of scattering vector is plotted at related interval of scattering vector for iron and nickel, they have the same general behaviour in whole scattering vector region
Summary
| scattering cross section | Heisenberg model | spin waves | form factor | magnons | Without regard to this fact, inelastic neutron scattering has been used to investigate the temperature dependence of cross section from 0 to above Curie temperature in nickel and iron. From equation (4), (5) and ( 6) the transverse cross section inelastic neutron scattering for annihilation and creation magnon is given by master formulas: generally, there will be uncorrelated spin waves in this scattering interval for iron.
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