I have shown that in the fast collision approximation, the scattering operator for resonant x-ray scattering can be expressed in terms of simple spin-orbital moment operators M$\sp{(k)}$(l,s) of the valence shell involved in the resonance. Using these operators, one not only can determine the thermal expectation values of the various spin-orbit multipole moments in the valence shell through the coherent elastic scattering and absorption, but also can obtain the moment-moment correlation functions (Van Hove scattering function S(q,$\omega$)) among the various atoms of the scattering sample from the coherent elastic and inelastic scattering. We have applied the effective scattering operators to the x-ray magnetic scattering in ${La\sb{2-x}Sr\sb{x}CuO\sb4}$ high temperature superconductors, and obtained the relations between the scattering cross-section and the Van Hove scattering function, and the instantaneous correlation function of the spins in these materials. This theory is applicable to the analysis of a broad range of resonant x-ray elastic and inelastic scattering and absorption experiments involving rare earth, actinide and transition elements.
| Identifer | oai:union.ndltd.org:RICE/oai:scholarship.rice.edu:1911/16754 |
| Date | January 1994 |
| Creators | Luo, Jin |
| Contributors | Trammell, George T., Hannon, James P. |
| Source Sets | Rice University |
| Language | English |
| Detected Language | English |
| Type | Thesis, Text |
| Format | 114 p., application/pdf |
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