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X-Ray Absorption Spectroscopy. Joachim Stöhr Stanford Synchrotron Radiation Laboratory. 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
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X-Ray Absorption Spectroscopy Joachim Stöhr Stanford Synchrotron Radiation Laboratory • 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)
Quantum Theoretical X-Ray Interactions with Matter: The Basic Processes Kramers- Heisenberg relation Fermi's Golden rule
Tunable x- rays offer large interaction cross sections electrons optical light Photoemission neutrons
X-Ray Absorption and Scattering Cross Sections per Atom Thomson Cross section Fe atom Experiment Fe metal Kortright and Kim, Phys. Rev. B 62, 12216 (2000) f1 and f2 tabulated Henke-Gullikson factors http://www-cxro.lbl.gov/index.php?content=/tools.html
X-ray Absorption Spectra in a Nutshell tabulated Henke-Gullikson
Absolute absorption coefficients from experimental spectra (from Henke-Gullikson compilation)
Names: XAFS – NEXAFS –XANES - EXAFS or XANES Interference of outgoing photoelectron and scattered waves Nearest neighbor distances Number of neighbors
Some Fundamental X-Ray Absorption Spectra -- soft x-rays --
Chemical Sensitivity Core level shifts and Molecular orbital shifts
NEXAFS of Transition Metals Dipole selection rule 2p 3d - strong 2p 4s - weak Ebert et. al. Phys. Rev. B 53, 16067 (1996). “white lines” Total intensity reflect number of empty holes
Polarized X-Rays - Dichroism “dichroism” = pol. dep. absorption
Polarization definitions (high energy physics) Historical note: different “handedness” definitions in optics (space) versus high energy physics (time)
Polarized x-rays offer orientation sensitivity Antiferromagnetic order Orientational order Chirality Ferromagnetic order
Linear Charge Dichroism in a d-electron system C. T. Chen et al. PRL 68, 2543 (1992)
Magnetic field splits p-orbitals sum
XMLD – spectra below and above TN Lüning et al. Phys. Rev. B 67, 214433 (2003)
XMLD effects especially strong in multiplet peaks (Ni2+,d8) (Ni1+,d9)
s X-ray Natural Circular Dichroism l k=k0 w/c Dipole Chirality =0 for x-rays