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Joachim Stöhr Stanford Synchrotron Radiation Laboratory X-Ray Absorption Spectroscopy http://www-ssrl.slac.stanford.edu/stohr J. Stöhr, NEXAFS SPECTROSCOPY, Springer Series in Surface Sciences 25, (Springer, Heidelberg, 1992). J. Stöhr and H. C. Siegmann MAGNETISM: FROM FUNDAMENTALS TO NANOSCALE DYNAMICS, Springer Series in Solid State Sciences 152, (Springer, Heidelberg, 2006)
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Physical Processes
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Fermi's Golden rule Kramers- Heisenberg relation Quantum Theoretical X-Ray Interactions with Matter: The Basic Processes
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Tunable x- rays offer large interaction cross sections neutrons electrons optical light Photoemission
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Thomson Cross section http://www-cxro.lbl.gov/index.php?content=/tools.html Kortright and Kim, Phys. Rev. B 62, 12216 (2000) Fe atom X-Ray Absorption and Scattering Cross Sections per Atom Experiment Fe metal f 1 and f 2 tabulated Henke-Gullikson factors
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X-ray Absorption Spectra in a Nutshell tabulated Henke-Gullikson
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Absolute absorption coefficients from experimental spectra (from Henke-Gullikson compilation)
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Names: XAFS – NEXAFS –XANES - EXAFS Interference of outgoing photoelectron and scattered waves Nearest neighbor distances Number of neighbors or XANES
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Tunable x-rays offer elemental specificity
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Experimental Soft X-rayTechniques
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Experimental X-Ray Absorption Techniques
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X-Ray Absorption versus Photoemission
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Electron Yield Sampling Depth
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Surface sensitivity of total and Auger yield
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total yield
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Some Fundamental X-Ray Absorption Spectra -- soft x-rays --
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NEXAFS spectra of polymers: building block picture
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Chemical Sensitivity Core level shifts and Molecular orbital shifts
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NEXAFS of Transition Metals Dipole selection rule 2p 3d - strong 2p 4s - weak Total intensity reflect number of empty holes Ebert et. al. Phys. Rev. B 53, 16067 (1996). “white lines”
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Polarized X-Rays - Dichroism “dichroism” = pol. dep. absorption
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Polarization definitions (high energy physics) Historical note: different “handedness” definitions in optics (space) versus high energy physics (time)
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Polarized x-rays offer orientation sensitivity Antiferromagnetic order Orientational order Chirality Ferromagnetic order
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X-Ray Natural Linear Dichroism
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C. T. Chen et al. PRL 68, 2543 (1992) Linear Charge Dichroism in a d-electron system
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J. Stöhr et al., Science 292, 2299 (2001)
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X-Ray Magnetic Linear Dichroism
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sum Magnetic field splits p-orbitals
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XMLD – spectra below and above T N Lüning et al. Phys. Rev. B 67, 214433 (2003)
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XMLD spectra of two oxides
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XMLD effects especially strong in multiplet peaks (Ni 2+,d 8 ) (Ni 1+,d 9 )
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X-ray Magnetic Circular Dichroism
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Magnetic Circular Dichroism
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Soft x-rays are best for magnetism
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XMCD spectra of the pure ferromagnetic metals
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The sum rules
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=0 for x-rays DipoleChirality k=k 0 /c X-ray Natural Circular Dichroism
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Pasteur’s and Faraday’s experiments
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